19743 + Interview Questions in Mathematics Page 186 InterviewSolution

9251.	The number of sheets available at the shop on each day for 5 consecutive days are recorded as follows:If the mean of this data is 25.6, then the median of this data is .
Answer» The number of sheets available at the shop on each day for $5$ consecutive days are recorded as follows: If the mean of this data is $25.6$ , then the median of this data is .

Discussion

9252.	In the adjoining figure, p \|\| q. Find the unknown angles.
Answer» In the adjoining figure, p \|\| q. Find the unknown angles.

9252.

In the adjoining figure, p || q. Find the unknown angles.

Answer»

In the adjoining figure, p || q. Find the unknown angles.

Discussion

9253.	As per IS 456-2000, in the Limit State Design of a flexural member, the strain in reinforcing bars under tension at ultimate state should not be less than
Answer» As per IS 456-2000, in the Limit State Design of a flexural member, the strain in reinforcing bars under tension at ultimate state should not be less than

Discussion

9254.	In an equilateral triangle ABC,BC is produced 'D'such that 'C' is midpoint of BD then find the value of BD^2
Answer» In an equilateral triangle ABC,BC is produced 'D' such that 'C' is midpoint of BD then find the value of BD^2

Discussion

9255.	The value of (√225729−√25144)÷√1681 is
Answer» The value of $(\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}}) \div \sqrt{\frac{16}{81}}$ is

Discussion

9256.	Question 5(ii)Use the tables below to draw linear graphs(b) Population (in thousands) of men and women in a village in different yearsYear20032004200520062007Days1212.51313.213.5No. of Women11.311.91313.612.8
Answer» Question 5(ii) Use the tables below to draw linear graphs (b) Population (in thousands) of men and women in a village in different years $\begin{matrix} Y e a r & 2003 & 2004 & 2005 & 2006 & 2007 D a y s & 12 & 12.5 & 13 & 13.2 & 13.5 N o . o f W o m e n & 11.3 & 11.9 & 13 & 13.6 & 12.8 \end{matrix}$

Discussion

9257.	Select the pairs that show correct equation for given series
Answer» Select the pairs that show correct equation for given series

Discussion

9258.	Rahul's dad's age is 4 more than 3 times of his present age. If Rahul is 11 years old, then his dad is _____.
Answer» Rahul's dad's age is 4 more than 3 times of his present age. If Rahul is 11 years old, then his dad is _____.

Discussion

9259.	Question 60If xy is the additive inverse of cd, then xy−cd=0
Answer» Question 60 If $\frac{x}{y}$ is the additive inverse of $\frac{c}{d}$ , then $\frac{x}{y} - \frac{c}{d} = 0$

Discussion

9260.	What is the distance from the top of mt.mckinley to the bottom of death valley
Answer» What is the distance from the top of mt.mckinley to the bottom of death valley

Discussion

9261.	Which fraction among 2464, 8325, 289, 2232 is a recurring and non-terminating decimal?
Answer» Which fraction among $\frac{24}{64}$ , $\frac{83}{25}$ , $\frac{28}{9}$ , $\frac{22}{32}$ is a recurring and non-terminating decimal?

Discussion

9262.	Question 1 (i)For each of the following, find a quadratic polynomial whose sum and product of the zeroes respectively are as given. Also, find the zeroes of these polynomials by factorization. i) −83,43
Answer» Question 1 (i) For each of the following, find a quadratic polynomial whose sum and product of the zeroes respectively are as given. Also, find the zeroes of these polynomials by factorization. i) $\frac{- 8}{3}, \frac{4}{3}$

Discussion

9263.	23. Prove that a cyclic parallelogram is always a rectangle
Answer» 23. Prove that a cyclic parallelogram is always a rectangle

Discussion

9264.	Question 119 What's the Error? An analysis showed that 0.06% of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student's error?
Answer» Question 119 What's the Error? An analysis showed that 0.06% of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student's error?

9264.

Question 119 What's the Error? An analysis showed that 0.06% of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student's error?

Answer»

Question 119

What's the Error? An analysis showed that 0.06% of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student's error?

Discussion

9265.	Question 4(c)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:2 kg : 80 kg and 25 g : 626 g
Answer» Question 4(c) Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion: 2 kg : 80 kg and 25 g : 626 g

9265.

Question 4(c)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:2 kg : 80 kg and 25 g : 626 g

Answer»

Question 4(c)

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:

2 kg : 80 kg and 25 g : 626 g

Discussion

9266.	Ashwin is required to take the measurement of a wooden box. He repeatedly gets the wrong reading. Maybe something is wrong with positioning of his eye. Which of the following should be the proper position of his eye for taking the reading?
Answer» Ashwin is required to take the measurement of a wooden box. He repeatedly gets the wrong reading. Maybe something is wrong with positioning of his eye. Which of the following should be the proper position of his eye for taking the reading?

Discussion

9267.	TRUE or FALSEOnly Balmer lines are observed in the visible region
Answer» TRUE or FALSE Only Balmer lines are observed in the visible region

Discussion

9268.	The cost of 5 litres of milk is Rs. 55 and 7 litres of milk is Rs. 77. What kind of a proportion does this statement indicate?
Answer» The cost of 5 litres of milk is Rs. 55 and 7 litres of milk is Rs. 77. What kind of a proportion does this statement indicate?

Discussion

9269.	When a die is thrown, list the outcomes of an event of getting:(a) a number greater than 5 (b) a number not greater than 5
Answer» When a die is thrown, list the outcomes of an event of getting: (a) a number greater than 5 (b) a number not greater than 5

Discussion

9270.

Shri S. K. Gupta, Chandigarh commenced business on 1st April, 2019 with a capital of ₹ 1,20,000 of which ₹ 60,000 was paid into his Bank Account and balance retained as cash. His other transactions during the month were as follows: 2019 ₹ April 2 Bought office furniture 20,000 April 5 Purchased goods 16,000 April 8 Purchased goods from Ramesh, Chandigarh 11,000 April 12 Sold goods to Sameer, Delhi 21,000 April 13 Purchased stationery for cash 1,800 April 13 Paid to Ramesh in cash on account* 10,000 Discount allowed by him* 1,000 April 17 Withdrawn cash for office use* 4,000 April 18 Sen of Chandigarh sold goods to S.K. Gupta 30,000 April 19 Cash received from Sameer on account* 20,000 Allowed him discount* 1,000 April 20 Sold to Raj Banwari, Delhi 40,000 April 28 Cash sales 1,400 April 30 Paid salary by cheque* 8,000 April 30 Paid rent by cheque 5,000 April 30 Paid telephone expenses by cheque 2,000 April 30 Paid cash into bank* 2,000 Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).Journalise the above transactions and post them to the Ledger.

Answer» Shri S. K. Gupta, Chandigarh commenced business on 1st April, 2019 with a capital of ₹ 1,20,000 of which ₹ 60,000 was paid into his Bank Account and balance retained as cash. His other transactions during the month were as follows:

2019		₹
April 2	Bought office furniture	20,000
April 5	Purchased goods	16,000
April 8	Purchased goods from Ramesh, Chandigarh	11,000
April 12	Sold goods to Sameer, Delhi	21,000
April 13	Purchased stationery for cash	1,800
April 13	Paid to Ramesh in cash on account*	10,000
	Discount allowed by him*	1,000
April 17	Withdrawn cash for office use*	4,000
April 18	Sen of Chandigarh sold goods to S.K. Gupta	30,000
April 19	Cash received from Sameer on account*	20,000
	Allowed him discount*	1,000
April 20	Sold to Raj Banwari, Delhi	40,000
April 28	Cash sales	1,400
April 30	Paid salary by cheque*	8,000
April 30	Paid rent by cheque	5,000
April 30	Paid telephone expenses by cheque	2,000
April 30	Paid cash into bank*	2,000

Inter-state transactions are subject to levy of IGST 12% and Intra-state transactions are subject to levy of CGST and SGST 6% each. GST is not levied on transactions marked with (*).

Journalise the above transactions and post them to the Ledger.

Discussion

9271.	Jacob has a habit of oversleeping in the morning and when he oversleeps, he misses his breakfast. The probability of him oversleeping is 0.4. What is the probability that he eats breakfast?
Answer» Jacob has a habit of oversleeping in the morning and when he oversleeps, he misses his breakfast. The probability of him oversleeping is $0.4$ . What is the probability that he eats breakfast?

Discussion

9272.	A cubical element of a structural part made of mild steel is subjected to a tri-axial compressive stress as shown in the figure. The vertical compressive stress is σ1. The Modulus of Elasticity and Poisson's Ratio are E and μ, respectively. What should be the uniform lateral pressure σ2 in terms of σ1 and μ, so that lateral strain is prevented?
Answer» A cubical element of a structural part made of mild steel is subjected to a tri-axial compressive stress as shown in the figure. The vertical compressive stress is $σ_{1}$ . The Modulus of Elasticity and Poisson's Ratio are $E$ and $μ$ , respectively. What should be the uniform lateral pressure $σ_{2}$ in terms of $σ_{1}$ and $μ$ , so that lateral strain is prevented?

Discussion

9273.	Find the order of rotational symmetry for a fan if it has three blades.3
Answer» Find the order of rotational symmetry for a fan if it has three blades. 3

Discussion

9274.	The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2.Find N.
Answer» The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2.Find N.

Discussion

9275.	The mode of the data 9, x, 6, 3, 4, 9, 8, 6, 4, 6 is 6. Which of the following cannot be the value of x(a) 8 (b) 7 (c) 6 (d) 9
Answer» The mode of the data 9, x, 6, 3, 4, 9, 8, 6, 4, 6 is 6. Which of the following cannot be the value of x (a) 8 (b) 7 (c) 6 (d) 9

Discussion

9276.	109.Expand the following (1+x/2-2/x), x not equal to 0
Answer» 109.Expand the following (1+x/2-2/x), x not equal to 0

Discussion

9277.	Subtract: [2 MARKS] (i) 3a−4b+5c from 4a−b+6c (ii) 5a−3b+2c from a−4b−2c
Answer» Subtract: [2 MARKS] (i) $3 a - 4 b + 5 c$ from $4 a - b + 6 c$ (ii) $5 a - 3 b + 2 c$ from $a - 4 b - 2 c$

Discussion

9278.	The following data gives the marks obtained by students in an exam. Class intervalFrequencyBelow 105Below 2010Below 3023Below 4031Below 5045Below 6049(i)Convert the cumulative distribution to a regular distribution.(ii)Calculate the mode.
Answer» The following data gives the marks obtained by students in an exam. $\begin{matrix} Class interval & Frequency B e l o w 10 & 5 B e l o w 20 & 10 B e l o w 30 & 23 B e l o w 40 & 31 B e l o w 50 & 45 B e l o w 60 & 49 \end{matrix}$ (i)Convert the cumulative distribution to a regular distribution. (ii)Calculate the mode.

Discussion

9279.	In ΔABC, ∠A = 40° and ∠B = 60°. The longest side is
Answer» In ΔABC, ∠A = 40° and ∠B = 60°. The longest side is

9279.

In ΔABC, ∠A = 40° and ∠B = 60°. The longest side is

Answer»

In ΔABC, ∠A = 40° and ∠B = 60°. The longest side is

Discussion

9280.

Enter the following transactions in the Double Column Cash Book of M/s. Gupta Store: 2019 ₹ June 1 Cash in Hand ₹ 800, Bank overdraft ₹ 5,700 June 7 Received a cheque from Bharati, discount allowed ₹ 150 3,250 June 9 Deposited the above cheque into Bank June 15 Cheque received from Panna Lal 1,200 June 20 Bharati's cheque returned dishonoured June 28 Panna Lal's cheque was endorsed to Kamal June 30 Income tax paid by cheque 150

Answer» Enter the following transactions in the Double Column Cash Book of M/s. Gupta Store:

2019		₹
June 1	Cash in Hand ₹ 800, Bank overdraft ₹ 5,700
June 7	Received a cheque from Bharati, discount allowed ₹ 150	3,250
June 9	Deposited the above cheque into Bank
June 15	Cheque received from Panna Lal	1,200
June 20	Bharati's cheque returned dishonoured
June 28	Panna Lal's cheque was endorsed to Kamal
June 30	Income tax paid by cheque	150

Discussion

9281.	Which of the following option is equal to r×r×r×r?
Answer» Which of the following option is equal to $r \times r \times r \times r ?$

Discussion

9282.	A bag contains 6 white and 3 black balls. When a ball is drawn without looking, the probability that the ball is black is ___.
Answer» A bag contains 6 white and 3 black balls. When a ball is drawn without looking, the probability that the ball is black is ___.

Discussion

9283.	Mark the correct alternative in the following question:If ₹840 is divided between P and Q in the ratio 3 : 4, then P's share is(a) ₹340 (b) ₹480 (c) ₹360 (d) ₹400
Answer» Mark the correct alternative in the following question: If ₹840 is divided between P and Q in the ratio 3 : 4, then P's share is (a) ₹340 (b) ₹480 (c) ₹360 (d) ₹400

Discussion

9284.	What is the discount if the marked price of radio is Rs. 1,000 and the selling price is Rs. 850?
Answer» What is the discount if the marked price of radio is Rs. 1,000 and the selling price is Rs. 850?

Discussion

9285.	Which ofthe following pairs represent the same rational number?(i) (ii) (iii) (iv) (v) (vi) (vii)
Answer» Which of the following pairs represent the same rational number? (i) (ii) (iii) (iv) (v) (vi) (vii)

9285.

Which ofthe following pairs represent the same rational number?(i) (ii) (iii) (iv) (v) (vi) (vii)

Answer»

Which of
the following pairs represent the same rational number?

(i) (ii) (iii)

(iv) (v) (vi)

(vii)

Discussion

9286.	Find three consecutive natural number such that the sum of the first and second is 39 more than the third number.
Answer» Find three consecutive natural number such that the sum of the first and second is 39 more than the third number.

Discussion

9287.	Simplify: 3+115+23-715
Answer» Simplify: $3 + 1 \frac{1}{5} + \frac{2}{3} - \frac{7}{15}$

Discussion

9288.	If the perimeter of an equilateral triangle ABC is 9 m, then the correct representation of △ABC is:
Answer» If the perimeter of an equilateral triangle $A B C$ is 9 m, then the correct representation of $△ A B C$ is:

Discussion

9289.	The cost of 16 bags of washing powder, each weighing 1.5 kg, is ₹ 672. Find the cost of 18 bags of the same, each weighing 2 kg.
Answer» The cost of 16 bags of washing powder, each weighing 1.5 kg, is ₹ 672. Find the cost of 18 bags of the same, each weighing 2 kg.

Discussion

9290.	find the solution of 2x + 4y=8
Answer» find the solution of 2x + 4y=8

Discussion

9291.	The area of the given rectangle is sq cm.
Answer» The area of the given rectangle is sq cm.

Discussion

9292.	If the denominator and numerator both are different after changing them into improper fractions and before changing them into improper fractions then how to identify which one is bigger and which one is smaller
Answer» If the denominator and numerator both are different after changing them into improper fractions and before changing them into improper fractions then how to identify which one is bigger and which one is smaller

Discussion

9293.	Find using distributive property:5437×1001
Answer» Find using distributive property: $5437 \times 1001$

9293.

Find using distributive property:5437×1001

Answer»

Find using distributive property:

$5437 \times 1001$

Discussion

9294.	Simplify 4st(s-t)-6s^2 (t-t^2) - 3t^2(2s^2-s)+2st(s-t)
Answer» Simplify 4st(s-t)-6s^2 (t-t^2) - 3t^2(2s^2-s)+2st(s-t)

Discussion

9295.	The sum of two numbers is 11 and their difference is 4. Then the two numbers
Answer» The sum of two numbers is 11 and their difference is 4. Then the two numbers

Discussion

9296.	If the weight of an object is w, its volume is v and if it is made of a material of density d, then their relation can be written as
Answer» If the weight of an object is w, its volume is v and if it is made of a material of density d, then their relation can be written as

Discussion

9297.	Rahul was trying to make a paper toy and started with folding an A4 sized paper along the diagonal. He then noticed that there were two triangles formed. Arjun was saying that the two triangles formed are congruent to each other. But then Rahul noticed that they aren’t superimposing on each other, he says that the triangles aren’t congruent.What are the conditions for a triangle to be congruent?
Answer» Rahul was trying to make a paper toy and started with folding an A4 sized paper along the diagonal. He then noticed that there were two triangles formed. Arjun was saying that the two triangles formed are congruent to each other. But then Rahul noticed that they aren’t superimposing on each other, he says that the triangles aren’t congruent. What are the conditions for a triangle to be congruent?

9297.

Rahul was trying to make a paper toy and started with folding an A4 sized paper along the diagonal. He then noticed that there were two triangles formed. Arjun was saying that the two triangles formed are congruent to each other. But then Rahul noticed that they aren’t superimposing on each other, he says that the triangles aren’t congruent.What are the conditions for a triangle to be congruent?

Answer»

Rahul was trying to make a paper toy and started with folding an A4 sized paper along the diagonal. He then noticed that there were two triangles formed. Arjun was saying that the two triangles formed are congruent to each other. But then Rahul noticed that they aren’t superimposing on each other, he says that the triangles aren’t congruent.

What are the conditions for a triangle to be congruent?

Discussion

9298.	If m∠A = 176o then angle A is a/an _______ angle.
Answer» If m∠A = 176^o then angle A is a/an _______ angle.

Discussion

9299.	A triangle has base 10 cm and base angles are 500,700. If the perimeter of Δ is x+ycosz0 where z0∈(0,900), then x+y+z=
Answer» A triangle has base $10 c m$ and base angles are $50^{0}, 70^{0} .$ If the perimeter of $Δ$ is $x + y cos z^{0}$ where $z^{0} \in (0, 90^{0}),$ then $x + y + z =$

Discussion

9300.	In the given figure, if PTRA is an isoceles trapezium, then the value of y is:
Answer» In the given figure, if $P T R A$ is an isoceles trapezium, then the value of $y$ is:

Discussion

Explore topic-wise InterviewSolutions in .

The number of sheets available at the shop on each day for 5 consecutive days are recorded as follows:If the mean of this data is 25.6, then the median of this data is .

In the adjoining figure, p || q. Find the unknown angles.

As per IS 456-2000, in the Limit State Design of a flexural member, the strain in reinforcing bars under tension at ultimate state should not be less than

In an equilateral triangle ABC,BC is produced 'D'such that 'C' is midpoint of BD then find the value of BD^2

The value of (√225729−√25144)÷√1681 is

Question 5(ii)Use the tables below to draw linear graphs(b) Population (in thousands) of men and women in a village in different yearsYear20032004200520062007Days1212.51313.213.5No. of Women11.311.91313.612.8

Select the pairs that show correct equation for given series

Rahul's dad's age is 4 more than 3 times of his present age. If Rahul is 11 years old, then his dad is _____.

Question 60If xy is the additive inverse of cd, then xy−cd=0

What is the distance from the top of mt.mckinley to the bottom of death valley

Which fraction among 2464, 8325, 289, 2232 is a recurring and non-terminating decimal?

Question 1 (i)For each of the following, find a quadratic polynomial whose sum and product of the zeroes respectively are as given. Also, find the zeroes of these polynomials by factorization. i) −83,43

23. Prove that a cyclic parallelogram is always a rectangle

Question 119 What's the Error? An analysis showed that 0.06% of the T-shirts made by one company were defective. A student says this is 6 out of every 100. What is the student's error?

Question 4(c)Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:2 kg : 80 kg and 25 g : 626 g

Ashwin is required to take the measurement of a wooden box. He repeatedly gets the wrong reading. Maybe something is wrong with positioning of his eye. Which of the following should be the proper position of his eye for taking the reading?

TRUE or FALSEOnly Balmer lines are observed in the visible region

The cost of 5 litres of milk is Rs. 55 and 7 litres of milk is Rs. 77. What kind of a proportion does this statement indicate?

When a die is thrown, list the outcomes of an event of getting:(a) a number greater than 5 (b) a number not greater than 5

Jacob has a habit of oversleeping in the morning and when he oversleeps, he misses his breakfast. The probability of him oversleeping is 0.4. What is the probability that he eats breakfast?

Find the order of rotational symmetry for a fan if it has three blades.3

The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2.Find N.

The mode of the data 9, x, 6, 3, 4, 9, 8, 6, 4, 6 is 6. Which of the following cannot be the value of x(a) 8 (b) 7 (c) 6 (d) 9

109.Expand the following (1+x/2-2/x), x not equal to 0

Subtract: [2 MARKS] (i) 3a−4b+5c from 4a−b+6c (ii) 5a−3b+2c from a−4b−2c

The following data gives the marks obtained by students in an exam. Class intervalFrequencyBelow 105Below 2010Below 3023Below 4031Below 5045Below 6049(i)Convert the cumulative distribution to a regular distribution.(ii)Calculate the mode.

In ΔABC, ∠A = 40° and ∠B = 60°. The longest side is

Which of the following option is equal to r×r×r×r?

A bag contains 6 white and 3 black balls. When a ball is drawn without looking, the probability that the ball is black is ___.

Mark the correct alternative in the following question:If ₹840 is divided between P and Q in the ratio 3 : 4, then P's share is(a) ₹340 (b) ₹480 (c) ₹360 (d) ₹400

What is the discount if the marked price of radio is Rs. 1,000 and the selling price is Rs. 850?

Which ofthe following pairs represent the same rational number?(i) (ii) (iii) (iv) (v) (vi) (vii)

Find three consecutive natural number such that the sum of the first and second is 39 more than the third number.

Simplify: 3+115+23-715

If the perimeter of an equilateral triangle ABC is 9 m, then the correct representation of △ABC is:

The cost of 16 bags of washing powder, each weighing 1.5 kg, is ₹ 672. Find the cost of 18 bags of the same, each weighing 2 kg.

find the solution of 2x + 4y=8

The area of the given rectangle is sq cm.

If the denominator and numerator both are different after changing them into improper fractions and before changing them into improper fractions then how to identify which one is bigger and which one is smaller

Find using distributive property:5437×1001

Simplify 4st(s-t)-6s^2 (t-t^2) - 3t^2(2s^2-s)+2st(s-t)

The sum of two numbers is 11 and their difference is 4. Then the two numbers

If the weight of an object is w, its volume is v and if it is made of a material of density d, then their relation can be written as

If m∠A = 176o then angle A is a/an _______ angle.

A triangle has base 10 cm and base angles are 500,700. If the perimeter of Δ is x+ycosz0 where z0∈(0,900), then x+y+z=

In the given figure, if PTRA is an isoceles trapezium, then the value of y is: