100525 + Interview Questions in GENERAL QA IN GENERAL AWARENESS

1.	Indicate an anti-absence drug: a) Valproate b) Phenobarbital c) Carbamazepin d) Phenytoin
Answer» (a) Valproate

Discussion

2.	The drug for partial and generalized tonic-clonic seizures is: a) Carbamazepine b) Valproate c) Phenytoin d) All of the above
Answer» d) All of the above

Discussion

3.	If y = log(cosex), then dy/dx is :(a) cos ex−1(b) e-x cos ex(c) ex sin ex (d) − ex tanex
Answer» Option : (d) y = log(cose^x) Differentiating wrt x : \(\frac{dy}{dx}\) = \(\frac{1}{cos(e^x)}.\) (-sin e^x) . e^x(chain rule) ⇒ \(\frac{dy}{dx}\) = −e^x tan e^x

3.

If y = log(cosex), then dy/dx is :(a) cos ex−1(b) e-x cos ex(c) ex sin ex (d) − ex tanex

Answer»

Option : (d)

y = log(cose^x)

Differentiating wrt x :

\(\frac{dy}{dx}\) = \(\frac{1}{cos(e^x)}.\) (-sin e^x) . e^x(chain rule)

⇒ \(\frac{dy}{dx}\) = −e^x tan e^x

Discussion

4.	I saw it go Merrily bouncing, down the street, and then Merrily over — there it is in the water! No use to say ‘O there are other balls’: An ultimate shaking grief fixes the boy As he stands rigid, trembling, staring down All his young days into the harbour where His ball went i. The poet uses the ball as a symbol of the boy’s a) sense of adventure. b) carefree childhood days. c) ability to bounce back. d) extended family. ii. The poet feels that there is no point consoling the boy as a) it would give him false hope. b) he might demand for a new ball. c) it might distress him further. d) whatever he has lost is irretrievable.iii. The word ‘harbour’ DOES NOT have a meaning similar to a) port. b) pier. c) dock. d) cargo. iv. ‘Merrily over — there it is in the water!’ The dash here is meant to convey a) some familiar experience. b) a feeling of excitement. c) a sense of unexpected interruption. d) some thoughtful moments. v. The word that DOES NOT indicate a physical manifestation of sorrow in the boy, is a) worthless. b) shaking. c) trembling. d) rigid.
Answer» i. b) carefree childhood days. ii. d) whatever he has lost is irretrievable. iii. d) cargo. iv. c) a sense of unexpected interruption. v. a) worthless

4.

I saw it go Merrily bouncing, down the street, and then Merrily over — there it is in the water! No use to say ‘O there are other balls’: An ultimate shaking grief fixes the boy As he stands rigid, trembling, staring down All his young days into the harbour where His ball went i. The poet uses the ball as a symbol of the boy’s a) sense of adventure. b) carefree childhood days. c) ability to bounce back. d) extended family. ii. The poet feels that there is no point consoling the boy as a) it would give him false hope. b) he might demand for a new ball. c) it might distress him further. d) whatever he has lost is irretrievable.iii. The word ‘harbour’ DOES NOT have a meaning similar to a) port. b) pier. c) dock. d) cargo. iv. ‘Merrily over — there it is in the water!’ The dash here is meant to convey a) some familiar experience. b) a feeling of excitement. c) a sense of unexpected interruption. d) some thoughtful moments. v. The word that DOES NOT indicate a physical manifestation of sorrow in the boy, is a) worthless. b) shaking. c) trembling. d) rigid.

Answer»

i. b) carefree childhood days.

ii. d) whatever he has lost is irretrievable.

iii. d) cargo.

iv. c) a sense of unexpected interruption.

v. a) worthless

Discussion

5.	Given that A = [aij] is a square matrix of order 3×3 and \|A\| = −7, then the value of \(\sum_{i=1}^{3}\)ai2Ai2, where Aij denotes the cofactor of element aij is :(a) 7(b) -7(c) 0(d) 49
Answer» Option : (b) \|A\| = −7 \(\sum_{i=1}^{3}\) a_i2A_i2 = a₁₂A₁₂+ a₂₂A₂₂+ a₃₂A₃₂ = \|A\| = -7

5.

Given that A = [aij] is a square matrix of order 3×3 and |A| = −7, then the value of \(\sum_{i=1}^{3}\)ai2Ai2, where Aij denotes the cofactor of element aij is :(a) 7(b) -7(c) 0(d) 49

Answer»

Option : (b) |A| = −7

\(\sum_{i=1}^{3}\) a_i2A_i2

= a₁₂A₁₂+ a₂₂A₂₂+ a₃₂A₃₂

= |A| = -7

Discussion

6.	Write the dramatic significance of rings in merchant of Venice.
Answer» The wedding ring Portia gives Bassanio seal their love in marriage and symbolizes power. The ring seems to represent Portia's submission to Bassanio. By giving him the ring not only does she submit herself, all of her worldly possessions and property, she also puts herself in a position of power; because she's giving her soon-to-be husband more than he can possibly give her in return. This comes a huge relief to Bassonia as he owes Antonia a great debt and is pretty much penniless without Portia's wealth. When Antonio is unable to pay Shylock back his debt, Portia tricks everyone by dressing up like a male lawyer. She craftily uses the law to keep Shylock from cutting off a pound of Antonio's flesh and steals Shylock's wealth, claiming he's an illegal immigrant. In payment for her services, the disguised Portia asks Bassanio for a ring she had given him in Belmont on the condition that he would never part with it. In payment for her services, the disguised Portia asks Bassanio for a ring she had given him in Belmont on the condition that he would never part with it. He refuses, and she storms off in pretended anger. Antonio, however, prevails upon his friend to send the ring after the doctor for “his” services to them; Bassanio sends Gratiano, who also gives up the ring Nerissa gave him, with the same stipulation, to the clerk. Later, she happily reveals to her husband her devious and successful plan. The ring symbolizes Portia's power and control, not only in civil matters but also in her marriage relationship.

Discussion

7.	If A = [aij] is a square matrix of order 2 such that aij = \( \begin{cases} 1, when\,i\,≠\,j\\ 0, when\,i=j \end{cases}\),then A2 is :(a)\(\begin{bmatrix} 1& 0 \\[0.3em] 1 & 0 \end{bmatrix}\)(b) \(\begin{bmatrix} 1& 1 \\[0.3em] 0 & 0 \end{bmatrix}\)(c) \(\begin{bmatrix} 1& 1 \\[0.3em] 1 & 0 \end{bmatrix}\)(d) \(\begin{bmatrix} 1& 0 \\[0.3em] 0 & 1 \end{bmatrix}\)
Answer» Option : (d). A² =\(\begin{bmatrix} 1& 0 \\[0.3em] 0 & 1 \end{bmatrix}\) \(A=\begin{bmatrix}0&1\\1&0\end{bmatrix}\) \(A^2=\begin{bmatrix}1&0\\0&1\end{bmatrix}\)

7.

If A = [aij] is a square matrix of order 2 such that aij = \( \begin{cases} 1, when\,i\,≠\,j\\ 0, when\,i=j \end{cases}\),then A2 is :(a)\(\begin{bmatrix} 1& 0 \\[0.3em] 1 & 0 \end{bmatrix}\)(b) \(\begin{bmatrix} 1& 1 \\[0.3em] 0 & 0 \end{bmatrix}\)(c) \(\begin{bmatrix} 1& 1 \\[0.3em] 1 & 0 \end{bmatrix}\)(d) \(\begin{bmatrix} 1& 0 \\[0.3em] 0 & 1 \end{bmatrix}\)

Answer»

Option : (d). A² =\(\begin{bmatrix} 1& 0 \\[0.3em] 0 & 1 \end{bmatrix}\)

\(A=\begin{bmatrix}0&1\\1&0\end{bmatrix}\)

\(A^2=\begin{bmatrix}1&0\\0&1\end{bmatrix}\)

Discussion

8.	Explain sampling and non-sampling errors?
Answer» A non-sampling error is a statistical term that refers to an error that results during data collection, causing the data to differ from the true values. A sampling error is limited to any differences between sample values and universe values that arise because the sample size was limited.

Discussion

9.	In olden days statistics also called ………..a. science of soldiers b. science of kings c. science of business man d. science of managers]
Answer» In olden days statistics also called science of kings.

Discussion

10.	Now a days the use of statistics is extended to various fields such as ……... a. Agriculture b. Economic c. Psychology d. All of these
Answer» All of these.

Discussion

11.	Read the following passage and answer the questions that follow : 1. His heavy bat was a major talking point whenever Sachin Tendulkar battled injuries in his over-two decade-long career but the iconic cricketer said he was never convinced about giving it up for a lighter one as his timing got affected every time he tried the change. In his autobiography 'Playing It My Way', Tendulkar wrote that he was asked several times to try a lighter bat but it never worked for him.2. "I used a pretty heavy bat and I was sometimes encouraged to move to a lighter one. Again, I did try but I never felt comfortable, as my whole bat swing depended on that weight. When I was hitting a drive, I needed the weight to generate the power. It was all to do with the timing," he explains.3. The all time leading scorer in the game also offered an interesting take on how to hold the bat. "To me the bat should be an extension of your arm, and if you've reached the stage where it’s become an extension of your arm, why do you need to change ? What mattered to me most when I was batting was feeling comfortable. As long as I felt comfortable, it didn’t matter where I was playing or who I was playing against. If you make technical adjustments, such as moving to a lighter bat, to cope with different conditions, there’s a risk of making yourself feel uncomfortable and of thinking too much about your technique," he says.4. Tendulkar has advised budding batsmen against too much experimentation, saying, "the bat should be an extension of your arm" and there is no need for a change in technique if "you have reached that stage".5. "People have often commented on my own grip, which is very low down on the handle. It all goes back to when I started playing cricket when I was eleven, with my brother Ajit, who is ten years older. As I didn’t have a bat of my own, I had to use Ajit’s full-size bat and the only way I could cope with the weight at that age was to hold the bat right at the bottom of the handle," Tendulkar writes.1. What could be the problems facing a cricketer in making technical adjustments?a. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over technique.b. In making technical adjustments, a footballer might feel uncomfortable or might give too much stress over technique.c. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over practice.d. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over good things.2. Why did the advice given by coaches not work for him ?a. The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel right and natural to him.b. "The advice given by coaches that he should change the length didn’t work for him because it didn’t feel right and natural to him."c. "The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel right and good."d. "The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel bad."3. What does Tendulkar say about too much experimentation?a. Tendulkar advised to budding people that too much experimentation should not be done and techniques should not be changed if one is uncomfortable.b. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is uncomfortable.c. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is okay.d. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is fine.4. The antonym of 'withheld' as given in paragraph 4 is -a. advisedb. handlec. pressingd. technique5. The antonym of 'trivial' as given in paragraph 1 is -a. majorb. handlec. pressingd. big6. Why did he start using a heavy bat ?a. He started using a heavy bat because his pitch got affected every time he tried to change.b. He started using a heavy bat because his timing got affected every time he tried to changec. He started using a heavy bat because his weight got affected every time he tried to change.d. He started using a heavy bat because his timing got affected every time he tried to use a heavy bat.7. Why is it important to read a bowler’s mind ?a. It is important to read a bowler’s mind because a batsman can play best when his mind is at the same end.b. It is important to read a bowler’s mind because a batsman can play best when his mind is at the similar end.c. It is important to read a bowler’s mind because a batsman can play best when his mind is at the opposite end.d. It is important to read a bowler’s mind because a batsman can play best when his heart is at the opposite end.8. Complete the following sentence :Tendulkar’s bat was a major talking point because _______.a. of its light weight.b. of its heavy weightc. of its moderate weight.d. of its same weight.9. Complete the following sentence :To Tendulkar the bat was an _______a. extension of the arm.b. part of the arm.c. contraction of the arm.d. hold of the arm.10. Complete the following sentence :When he used a lighter bat ______a. his timing got affected.b. his batting got affected.c. his weight got affected.d. his timing got improved.
Answer» 1. a. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over technique. 2. a. The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel right and natural to him. 3. b. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is uncomfortable. 4. a. advised 5. a. major 6. b. He started using a heavy bat because his timing got affected every time he tried to change. 7. c. It is important to read a bowler’s mind because a batsman can play best when his mind is at the opposite end. 8. a. of its light weight. 9. a. extension of the arm. 10. a. his timing got affected.

11.

Read the following passage and answer the questions that follow : 1. His heavy bat was a major talking point whenever Sachin Tendulkar battled injuries in his over-two decade-long career but the iconic cricketer said he was never convinced about giving it up for a lighter one as his timing got affected every time he tried the change. In his autobiography 'Playing It My Way', Tendulkar wrote that he was asked several times to try a lighter bat but it never worked for him.2. "I used a pretty heavy bat and I was sometimes encouraged to move to a lighter one. Again, I did try but I never felt comfortable, as my whole bat swing depended on that weight. When I was hitting a drive, I needed the weight to generate the power. It was all to do with the timing," he explains.3. The all time leading scorer in the game also offered an interesting take on how to hold the bat. "To me the bat should be an extension of your arm, and if you've reached the stage where it’s become an extension of your arm, why do you need to change ? What mattered to me most when I was batting was feeling comfortable. As long as I felt comfortable, it didn’t matter where I was playing or who I was playing against. If you make technical adjustments, such as moving to a lighter bat, to cope with different conditions, there’s a risk of making yourself feel uncomfortable and of thinking too much about your technique," he says.4. Tendulkar has advised budding batsmen against too much experimentation, saying, "the bat should be an extension of your arm" and there is no need for a change in technique if "you have reached that stage".5. "People have often commented on my own grip, which is very low down on the handle. It all goes back to when I started playing cricket when I was eleven, with my brother Ajit, who is ten years older. As I didn’t have a bat of my own, I had to use Ajit’s full-size bat and the only way I could cope with the weight at that age was to hold the bat right at the bottom of the handle," Tendulkar writes.1. What could be the problems facing a cricketer in making technical adjustments?a. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over technique.b. In making technical adjustments, a footballer might feel uncomfortable or might give too much stress over technique.c. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over practice.d. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over good things.2. Why did the advice given by coaches not work for him ?a. The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel right and natural to him.b. "The advice given by coaches that he should change the length didn’t work for him because it didn’t feel right and natural to him."c. "The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel right and good."d. "The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel bad."3. What does Tendulkar say about too much experimentation?a. Tendulkar advised to budding people that too much experimentation should not be done and techniques should not be changed if one is uncomfortable.b. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is uncomfortable.c. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is okay.d. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is fine.4. The antonym of 'withheld' as given in paragraph 4 is -a. advisedb. handlec. pressingd. technique5. The antonym of 'trivial' as given in paragraph 1 is -a. majorb. handlec. pressingd. big6. Why did he start using a heavy bat ?a. He started using a heavy bat because his pitch got affected every time he tried to change.b. He started using a heavy bat because his timing got affected every time he tried to changec. He started using a heavy bat because his weight got affected every time he tried to change.d. He started using a heavy bat because his timing got affected every time he tried to use a heavy bat.7. Why is it important to read a bowler’s mind ?a. It is important to read a bowler’s mind because a batsman can play best when his mind is at the same end.b. It is important to read a bowler’s mind because a batsman can play best when his mind is at the similar end.c. It is important to read a bowler’s mind because a batsman can play best when his mind is at the opposite end.d. It is important to read a bowler’s mind because a batsman can play best when his heart is at the opposite end.8. Complete the following sentence :Tendulkar’s bat was a major talking point because ___.a. of its light weight.b. of its heavy weightc. of its moderate weight.d. of its same weight.9. Complete the following sentence :To Tendulkar the bat was an _a. extension of the arm.b. part of the arm.c. contraction of the arm.d. hold of the arm.10. Complete the following sentence :When he used a lighter bat ____a. his timing got affected.b. his batting got affected.c. his weight got affected.d. his timing got improved.

Answer»

1. a. In making technical adjustments, a cricketer might feel uncomfortable or might give too much stress over technique.

2. a. The advice given by coaches that he should change the grip didn’t work for him because it didn’t feel right and natural to him.

3. b. Tendulkar advised to budding batsmen that too much experimentation should not be done and techniques should not be changed if one is uncomfortable.

4. a. advised

5. a. major

6. b. He started using a heavy bat because his timing got affected every time he tried to change.

7. c. It is important to read a bowler’s mind because a batsman can play best when his mind is at the opposite end.

8. a. of its light weight.

9. a. extension of the arm.

10. a. his timing got affected.

Discussion

12.	"Statistical methods are dangerous weapons in the hands of an unqualified person". Explain.
Answer» The results and outcomes of the statistical methods can only be interpreted in their true and correct sense only by its experts.an unqualified person will not be informed with all the technicalities involved in the real life application of that method and will not be able to consider all the aspects of the situation before refusing it conclusive remarks.

Discussion

13.	sin[π/3-sin-1(-(1/2))] is equal to :(a) 1/2(b) 1/3(c) -1(d) 1
Answer» Option : (d) sin\((\frac{\pi}{3}-(\frac{-\pi}{6}))\) = sin(\(\frac{\pi}{2}\)) = 1

13.

sin[π/3-sin-1(-(1/2))] is equal to :(a) 1/2(b) 1/3(c) -1(d) 1

Answer»

Option : (d)

sin\((\frac{\pi}{3}-(\frac{-\pi}{6}))\)

= sin(\(\frac{\pi}{2}\))

= 1

Discussion

14.	What are the main features of Statistics as a numerical data? Describe any four.
Answer» The main characteristics of Statistics in the Plural Sense or Numerical Data1. The sum of Facts:Single or isolated structures are not supposed to be considered in the category of statistics because these representations are irrelevant and could not be analyzed.2. Orderly ArrangedA proper arrangement should be developed before accumulating the statistical data. Data obtained in a casual practice would commence to false judgments.3. Statistics can be DeterminedAccording to the characteristic of statistics, data can be recognized or acknowledged. If the mathematical descriptions are precisely correct, then they can be specified.4. Statistics are numerically representedAll statistics displays statistical figures i.e. manifested in characters and associated with quantitative knowledge.

Discussion

15.	Tendulkar has a long bat. The statement is Statistics. (True/False)
Answer» Correct Answer - False

Discussion

16.	------ is used whenever the relative importance of the items in a series differs (a)Simple arithmetic mean(b) Weighted arithmetic mean (c)Geometric mean (d)None
Answer» Weighted arithmetic mean is used whenever the relative importance of the items in a series differs.

Discussion

17.	Ram buys a car at Rs. 3,00,000 which he repairs with an additional cost of Rs. 10,000 and again sell it to another person at 20% profit. Find the selling price of a car?1. Rs. 3,60,0002. Rs. 3,00,0003. Rs. 2,50,0004. Rs. 3,72,000
Answer» Correct Answer - Option 4 : Rs. 3,72,000 Given: Cost price of car for Ram = Rs. 3,00,000 Repairing charges = Rs. 10,000 Profit% = 20% Formula used: S.P = C.P × (100 + P%)/100 Where, S.P → Selling price C.P → Cost price P% → Profit% Calculations: Total Cost price of the car = 300000 + 10000 = Rs. 3,10,000 Selling Price of the car = 310000 × (100 + 20)/100 = Rs. 3,72,000 ∴ Selling price of the car is Rs. 3,72,000

17.

Ram buys a car at Rs. 3,00,000 which he repairs with an additional cost of Rs. 10,000 and again sell it to another person at 20% profit. Find the selling price of a car?1. Rs. 3,60,0002. Rs. 3,00,0003. Rs. 2,50,0004. Rs. 3,72,000

Answer» Correct Answer - Option 4 : Rs. 3,72,000

Given:

Cost price of car for Ram = Rs. 3,00,000

Repairing charges = Rs. 10,000

Profit% = 20%

Formula used:

S.P = C.P × (100 + P%)/100

Where,

S.P → Selling price

C.P → Cost price

P% → Profit%

Calculations:

Total Cost price of the car = 300000 + 10000 = Rs. 3,10,000

Selling Price of the car = 310000 × (100 + 20)/100 = Rs. 3,72,000

∴ Selling price of the car is Rs. 3,72,000

Discussion

18.	A river passing near a town floods it on an average twice every 10 years. Assuming Poisson distribution find the probability that the town faces flooding at least once in 10 years. (a) 0.0198(b) 0.1353(c) 0.5657(d) 0.8647
Answer» Correct answer is: (d) 0.8647 P(X ≥ 1) = 1 − P(0) = 1 - \(\cfrac{e^{-2}(2)^\circ}{0!}\) = 1 − e⁻² = 0.8647

18.

A river passing near a town floods it on an average twice every 10 years. Assuming Poisson distribution find the probability that the town faces flooding at least once in 10 years. (a) 0.0198(b) 0.1353(c) 0.5657(d) 0.8647

Answer»

Correct answer is: (d) 0.8647

P(X ≥ 1) = 1 − P(0)

= 1 - \(\cfrac{e^{-2}(2)^\circ}{0!}\)

= 1 − e⁻² = 0.8647

Discussion

19.	------ is considered to best average (a) arithmetic mean (b) Median (c) Mode (d) None
Answer» Arithmetic mean is considered to best average.

Discussion

20.	A retailer buys a product for Rs. 2225. His transport charges are Rs. 25. He sells the product for Rs. 3600. The profit percentage of the retailer is:1. 60%2. 50%3. 40%4. 70%
Answer» Correct Answer - Option 1 : 60% Given: A retailer buys a product for Rs. 2225. His transport charges are Rs. 25. He sells the product for Rs. 3600. Formula used: P% = (P/C.P) × 100 Where, P% → Profit% C.P → Cost price Calculations: Total cost price of product (C.P) = Purchase price + Transportation charges ⇒ 2225 + 25 = Rs. 2250 Selling price of product = Rs. 3600 Profit = Rs. 3600 – Rs. 2250 = 1350 Profit% = (1350/2250) × 100 = 60% ∴ The profit percentage of the retailer is 60%

20.

A retailer buys a product for Rs. 2225. His transport charges are Rs. 25. He sells the product for Rs. 3600. The profit percentage of the retailer is:1. 60%2. 50%3. 40%4. 70%

Answer» Correct Answer - Option 1 : 60%

Given:

A retailer buys a product for Rs. 2225. His transport charges are Rs. 25. He sells the product for Rs. 3600.

Formula used:

P% = (P/C.P) × 100

Where,

P% → Profit%

C.P → Cost price

Calculations:

Total cost price of product (C.P) = Purchase price + Transportation charges

⇒ 2225 + 25 = Rs. 2250

Selling price of product = Rs. 3600

Profit = Rs. 3600 – Rs. 2250 = 1350

Profit% = (1350/2250) × 100 = 60%

∴ The profit percentage of the retailer is 60%

Discussion

21.	Statistics studies both quantitative and qualitative variables. (True/False)
Answer» Correct Answer - False

Discussion

22.	Geometric mean is useful in (a) Finding average % increase in sales, production (b) Finding index numbers (c) Both (d) None
Answer» Geometric mean is useful in Finding average % increase in sales, production and Finding index numbers.

Discussion

23.	-----is not a patrician value (a) Mean (b) Median (c) Quartiles (d) all these
Answer» Mean is not a patrician value.

Discussion

24.	Median is a ----- average (a) Mathematical (b) Positional(c) Both (d) None
Answer» Median is a positional average .

Discussion

25.	------ is capable of more algebraic treatment(a) arithmetic mean (b) Median (c) Both (d)None
Answer» Arithmetic mean is capable of more algebraic treatment.

Discussion

26.	Two pipes A and B can fill a cistern in 8 hours and 12 hours respectively. The pipes when opened simultaneously takes 12 minutes more to fill the cistern due to leakage. Once the cistern is full, it will get emptied due to leakage in(a) 5 hrs.(b) 20 hrs.(c) 60 hrs.(d) 120 hrs.
Answer» Correct answer is: (d) 120 hrs. Portion of cistern filled by both pipes in 1 hour = \(\frac{1}{8}\)+\(\frac{1}{12}\) = \(\frac{5}{24}\) Time taken by both pipes to fill the cistern = 4 h 48 mints Time taken to fill tank due to leakage = 5 h Work done by leakage in 1 h = \(\frac{5}{24}\)- \(\frac{1}{5}\) = \(\frac{1}{20}\) Time taken by leakage to empty the tank=120 h

26.

Two pipes A and B can fill a cistern in 8 hours and 12 hours respectively. The pipes when opened simultaneously takes 12 minutes more to fill the cistern due to leakage. Once the cistern is full, it will get emptied due to leakage in(a) 5 hrs.(b) 20 hrs.(c) 60 hrs.(d) 120 hrs.

Answer»

Correct answer is: (d) 120 hrs.

Portion of cistern filled by both pipes in 1 hour = \(\frac{1}{8}\)+\(\frac{1}{12}\) = \(\frac{5}{24}\)

Time taken by both pipes to fill the cistern = 4 h 48 mints

Time taken to fill tank due to leakage = 5 h

Work done by leakage in 1 h = \(\frac{5}{24}\)- \(\frac{1}{5}\) = \(\frac{1}{20}\)
Time taken by leakage to empty the tank=120 h

Discussion

27.	-----is a mathematical average (a) Arithmetic Mean (b) Geometric Mean (c) Both (d) None
Answer» Arithmetic Mean is a mathematical average.

Discussion

28.	----- is not capable of algebraic treatment(a) arithmetic mean (b) Median (c) Both (d) None
Answer» Median is not capable of algebraic treatment.

Discussion

29.	Statistics does not deals with (a) Qualitative (b) Quantitative (c) Both (d) None
Answer» (a) Qualitative

Discussion

30.	The sampling errors arise due to drawing faulty inferences about the ______ based upon the results of the samples.a) Sampleb) Surveyc) Population d) Census
Answer» The sampling errors arise due to drawing faulty inferences about the Population based upon the results of the samples.

Discussion

31.	To find the Index number by weighted average of price relatives, we use the formula(a) \(\cfrac{\sum\left(\cfrac{p_1}{p_0}\right)(p_0\,q_0)}{\sum(p_0\,q_0)}\times100\)
Answer» Correct answer is: (a) \(\cfrac{\sum\left(\cfrac{p_1}{p_0}\right)(p_0\,q_0)}{\sum(p_0\,q_0)}\times100\)

Discussion

32.	A retailer buys 250 kg of rice, a part of which he sells at 10% profit and the remaining at 5% loss. If the net profit made by the retailer in the whole transaction is 7%, then the quantity of rice sold at 10% profit is(a) 200 kg(b) 150 kg(c) 100 kg(d) 50 kg
Answer» Correct answer is: (a) 200 kg c = −5%, d = 10%, m = 7% (d − m) : (m − c)= 1 : 4 Quantity sold at 10 % profit = \(\frac{4}{5}\) × 250 = 200 Kg

32.

A retailer buys 250 kg of rice, a part of which he sells at 10% profit and the remaining at 5% loss. If the net profit made by the retailer in the whole transaction is 7%, then the quantity of rice sold at 10% profit is(a) 200 kg(b) 150 kg(c) 100 kg(d) 50 kg

Answer»

Correct answer is: (a) 200 kg

c = −5%, d = 10%, m = 7%

(d − m) : (m − c)= 1 : 4

Quantity sold at 10 % profit = \(\frac{4}{5}\) × 250 = 200 Kg

Discussion

33.	---- is not a mathematical average (a) A.M (b) G.M (c) H.M (d) mode
Answer» Mode is not a mathematical average

Discussion

34.	What is Law of ‘Statistical Regularity’ and the Law of ’Inertia of Large Numbers’?
Answer» Based on the mathematical theory of probability, Law of Statistical Regularity states that if a sample is taken at random from a population, it is likely to possess the characteristics as that of the population. A sample selected in this manner would be representative of the population. If this condition is satisfied, it is possible for one to depict fairly accurately the characteristics of the population by studying only a part of it. The Law of Inertia of Large Numbers‘ is a corollary of the law of statistical regularity. It states that, other things being equal, larger the size of sample, more accurate the results are likely to be. This is because when large numbers are considered, the variations in the component parts tend to balance each other and, therefore, the variation in the aggregate is insignificant.

34.

What is Law of ‘Statistical Regularity’ and the Law of ’Inertia of Large Numbers’?

Answer»

Based on the mathematical theory of probability, Law of Statistical Regularity states that if a sample is taken at random from a population, it is likely to possess the characteristics as that of the population. A sample selected in this manner would be representative of the population. If this condition is satisfied, it is possible for one to depict fairly accurately the characteristics of the population by studying only a part of it.

The Law of Inertia of Large Numbers‘ is a corollary of the law of statistical regularity. It states that, other things being equal, larger the size of sample, more accurate the results are likely to be. This is because when large numbers are considered, the variations in the component parts tend to balance each other and, therefore, the variation in the aggregate is insignificant.

Discussion

35.	Statistics is an art as well as(a) Science (b) Average (c) Theory (d) None
Answer» Statistics is an art as well as Science.

Discussion

36.

What do you mean by Statistical Error? Give the difference between Mistake and Error?

Answer»

The difference between the actual value of the figure and its approximated value is called statistical error. For example if number of students of a college is 1,255 but in round figures it is written as 1,300, then the difference is called ‗Statistical error‘. In the words of Prof. Connor, ―In statistical sense, „error‟ means the difference between the approximate value and the true or ideal value, accurate determination of which is not possible”.

Difference between Mistake and Error

	Basis	Mistake	Error
a)	Nature	Committed deliberately	Not deliberate
b)	Source	Due to use of wrong method	Difference between actual and approximate value.
c)	Estimation	Difficult to estimate	Can be estimated
d)	Prevention	Can be avoided by carefulness	Cannot be avoided easily.
e)	State of Occurrence	Can be committed at any stage	Creeps in only at the state of collecting, analysis and interpretation.

Discussion

37.	Find mode of the following values 1 5 3 5 0 5 7 (a) 5 (b) 3(c) 4 (d) 0
Answer» The following values 1 5 3 5 0 5 7 is 5.

Discussion

38.	In kurtosis, the normal curve is termed as ……………a. platy kurtic b. meso kurtic c. leptokurtic d. none
Answer» In kurtosis, the normal curve is termed as meso kurtic.

Discussion

39.	The Time reversal test is satisfied by(a) Laspeyres index only(b) Paasches index only(c) Both Laspeyres and Paasches index numbers(d) Fishers ideal index
Answer» Correct answer is: (d) Fishers ideal index Time reversal Test is satisfied by Fishers ideal index

39.

The Time reversal test is satisfied by(a) Laspeyres index only(b) Paasches index only(c) Both Laspeyres and Paasches index numbers(d) Fishers ideal index

Answer»

Correct answer is: (d) Fishers ideal index

Time reversal Test is satisfied by Fishers ideal index

Discussion

40.	Both the sampling as well as the non-sampling errors must be reduced to a minimum in order to get as representative a sample of the _______ as possible.a) Groupb) Regionc) Populationd) Universe
Answer» Both the sampling as well as the non-sampling errors must be reduced to a minimum in order to get as representative a sample of the Population as possible.

Discussion

41.	A ______ sample is formed by selecting one unit at random and then selecting additional units at evenly spaced intervals until the sample has been formed. a) Stratifiedb) Systematicc) Judgementd) Random
Answer» A Systematic sample is formed by selecting one unit at random and then selecting additional units at evenly spaced intervals until the sample has been formed.

Discussion

42.	----- is the value of item of a series which occurs most frequently(a) Median (b) Mean (c) Mode (d) none
Answer» Mode is the value of item of a series which occurs most frequently .

Discussion

43.	----- divides the data into 4 equal parts (a) Quartiles (b) Mean(c) Median(d) Range
Answer» Quartile divides the data into 4 equal parts.

Discussion

44.	What is Random Sampling? OR Define Random Sampling.
Answer» Random Sampling is one in which selection of items is done in such a way that every item of the universe has an equal chance of being selected. Random Sampling is based on probability and it is free from bias. The different methods of Random Sampling are :- a) Lottery method. b) Rotating the drum. c) By systematic arrangement. d) Routed wheel method e) By random numbers

44.

What is Random Sampling? OR Define Random Sampling.

Answer»

Random Sampling is one in which selection of items is done in such a way that every item of the universe has an equal chance of being selected.

Random Sampling is based on probability and it is free from bias. The different methods of Random Sampling are :-

a) Lottery method.

b) Rotating the drum.

c) By systematic arrangement.

d) Routed wheel method

e) By random numbers

Discussion

45.	β2 is a relative measure of …………a. Skewness b. variance c. Kurtosis d. S.D
Answer» β₂ is a relative measure of Kurtosis

Discussion

46.	-----is a figure that represents the whole group (a) Average (b) Value (c) Data (d) None
Answer» Average is a figure that represents the whole group

Discussion

47.	..............does not study individual cases (a) statistics (b) index numbers (c)averages (d) None
Answer» Statistics does not study individual cases.

Discussion

48.	When the data is to be processed by computers, then it must be coded and converted into the _____. a) English languageb) Regional languagec) Statistical languaged) Computer language
Answer» When the data is to be processed by computers, then it must be coded and converted into the Computer language.

Discussion

49.	The fluctuations or variations in the value of a time series exhibited over a period of one year or less are termed as …………… a. seasonal fluctuations b. cyclical variation c. operational fluctuations d. none of these
Answer» a. seasonal fluctuations

Discussion

50.	A time reversal test is satisfied if we use…………….. a. Mean b. mode c. Geometric mean d. None
Answer» A time reversal test is satisfied if we use Geometric mean.

Discussion

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Tendulkar has a long bat. The statement is Statistics. (True/False)

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Statistics studies both quantitative and qualitative variables. (True/False)

Geometric mean is useful in (a) Finding average % increase in sales, production (b) Finding index numbers (c) Both (d) None

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Median is a ----- average (a) Mathematical (b) Positional(c) Both (d) None

------ is capable of more algebraic treatment(a) arithmetic mean (b) Median (c) Both (d)None

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Statistics does not deals with (a) Qualitative (b) Quantitative (c) Both (d) None

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To find the Index number by weighted average of price relatives, we use the formula(a) \(\cfrac{\sum\left(\cfrac{p_1}{p_0}\right)(p_0\,q_0)}{\sum(p_0\,q_0)}\times100\)

A retailer buys 250 kg of rice, a part of which he sells at 10% profit and the remaining at 5% loss. If the net profit made by the retailer in the whole transaction is 7%, then the quantity of rice sold at 10% profit is(a) 200 kg(b) 150 kg(c) 100 kg(d) 50 kg

---- is not a mathematical average (a) A.M (b) G.M (c) H.M (d) mode

What is Law of ‘Statistical Regularity’ and the Law of ’Inertia of Large Numbers’?

Statistics is an art as well as(a) Science (b) Average (c) Theory (d) None

What do you mean by Statistical Error? Give the difference between Mistake and Error?

Find mode of the following values 1 5 3 5 0 5 7 (a) 5 (b) 3(c) 4 (d) 0

In kurtosis, the normal curve is termed as ……………a. platy kurtic b. meso kurtic c. leptokurtic d. none

The Time reversal test is satisfied by(a) Laspeyres index only(b) Paasches index only(c) Both Laspeyres and Paasches index numbers(d) Fishers ideal index

Both the sampling as well as the non-sampling errors must be reduced to a minimum in order to get as representative a sample of the _______ as possible.a) Groupb) Regionc) Populationd) Universe

A ______ sample is formed by selecting one unit at random and then selecting additional units at evenly spaced intervals until the sample has been formed. a) Stratifiedb) Systematicc) Judgementd) Random

----- is the value of item of a series which occurs most frequently(a) Median (b) Mean (c) Mode (d) none

----- divides the data into 4 equal parts (a) Quartiles (b) Mean(c) Median(d) Range

What is Random Sampling? OR Define Random Sampling.

β2 is a relative measure of …………a. Skewness b. variance c. Kurtosis d. S.D

-----is a figure that represents the whole group (a) Average (b) Value (c) Data (d) None

..............does not study individual cases (a) statistics (b) index numbers (c)averages (d) None

When the data is to be processed by computers, then it must be coded and converted into the _____. a) English languageb) Regional languagec) Statistical languaged) Computer language

The fluctuations or variations in the value of a time series exhibited over a period of one year or less are termed as …………… a. seasonal fluctuations b. cyclical variation c. operational fluctuations d. none of these

A time reversal test is satisfied if we use…………….. a. Mean b. mode c. Geometric mean d. None