8677 + Interview Questions in Maths in Class 14 Page 17 InterviewSolution

801.	If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP( barB):
Answer» `1/4` `3/4` `1/2` `4/5` ANSWER :C

Discussion

802.	If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP ( barA nn B ):
Answer» `1/2` `3/5` `4/7` `7/15` ANSWER :A

Discussion

803.	Naresh's monthly income is reduced by 15%. By what percentage his monthly income must be increased so that it is again equal to his original monthly income?
Answer» 17.6% 14.6% 15.6% 16.6% ANSWER :A

Discussion

804.	Find the critical numbers of tile rational polynomial (x^2+4x+3)/(x^2-x-20).
Answer» Solution :`(x^2+4x+3)/(x^2-x-20)=((x+3)(x+1))/((x+4)(x-5))` Since the ROOTS of `x^2+4x+3` are {-3,-1} and that of `x^2-x-20` are {-4,5}. THEREFORE the critical points are -1,-4,-3 and 5.

Discussion

805.	A fraction becomes (1)/(3)when 1 is subtracted from both the numerator and the denominator. The same fraction becomes (1)/(2)when 1 is added to both the numerator and the denominator. The sum of numerator and denominator of the fraction is
Answer» 10 18 7 16 Answer :A

Discussion

806.	On selling 10 candles profit is equal to SP of 3 pens loss on selling 10 pens is equal to SP of 4 cnadles. Profit % is equal to loss%. The CP of one candle is half of CP of one pen. Find ratio of SP.
Answer» 4:5 3:2 4:3 3:4 Answer :`3:2`

Discussion

807.	A stream engine can travel at 24 km/h without the train wagons. The reduction in speed of engine is directly proportional to the square root of the number of wagons. With 4 wagons the speed of engine is 20 km/h. Find the number of maximum wagons which an pull by the engine?
Answer»

Discussion

808.	Find minimum value of sin^(2)theta+cosec^(2)theta+cos^(2)theta+sec^(2)theta+tan^(2)theta+cot^(2)theta=?
Answer» ANSWER :7

Discussion

809.	Rs. 5120 is divided among 3 men, 4 women and 5 boys. The ratio of share of a man, a woman and a boy is 3:5:7. What is the share of a men?
Answer» 240 160 380 none of the above Answer :C

Discussion

810.	Abhay lent Rs 8000 to his friend for 3 years at therate of 5% per annum compound interest. What amount does Abhayget after 3 years?
Answer» ANSWER :RS. 9261

Discussion

811.	If log_(3)30 =1/a and log_(5) 30 = 1/b then the value of 3 log_(30)2 is:
Answer» `3(1 + a +B)` `2(1-a -b)` `3(1-a-b)` `3(1+a-b)` ANSWER :C

Discussion

812.	What is the capacity of the cylindrical tank? I. Radius of the base is half of its height. II. Area of the base is 616 sq m. III. Height of the cylinder is 28 m.
Answer»

Discussion

813.	Delta ABC is right angled at A, AB=3 units ,AC=4 units and AD is perpendicular to BC. What is the area of the Delta ADB
Answer» ANSWER :`(54)/(25)`

Discussion

814.	There are 3 types of expenditure in a car. Ist raw material, IInd labour expenditure, IIIrd is extra expenditure. The ratio of these expenditure are 4:3:2. If Ist expenditure is increased by 10%, IInd is increased by 8% and IIIrd is decreased by 5%. Find the percentage change in price of car.
Answer» `4%` `2%` `5%` `6%` ANSWER :B

Discussion

815.	(cot^(2)""(theta)/(2)-tan^(2)""(theta)/(2))/(cottheta.cosectheta)=?
Answer» 1 `-4` 4 1 Answer :C

Discussion

816.	On the April 2018, my salary increased from 1,00,000 to x and the rate of income tax decreased by 37.5% so the amount of income tax paid by me remains constant and the diff.in the rate of income tax is 9%. Find the value of x ?
Answer» ₹3000 ₹6000 ₹1600 Can't be determined Answer :D

Discussion

817.	If the quadratic equation has negative real roots and its maximum (extremum) of the graph is 10 unit then the distance between the X-axis and maximum of the graph is
Answer» (A) 10 (B) `-10` (C) -1 and `-10` both (D) DATA is insufficient Answer :A

Discussion

818.	Jwala Gutta and P. V. Sindhu play a one-day series. They stop playing matches as soon as one of them wins 3 matches and in this series no match is drawn. In how many ways can this series be won?
Answer» 20 24 12 6 Answer :A

Discussion

819.	For every a, b in N a" @ "b=a^(2)" when "(a+b)" is even" =a^(2)-b^(2)" when "(a+b)" is odd" a#b=b^(2)" when "axxb" is odd" =a^(2)-b^(2)" when "axxb" is even" Find the value of 20#(21" @ "22):
Answer» 0 2249 -1849 can't be determined Answer :D

Discussion

820.	What is the simplified value of (1/(sec A+ tan A))^2 ?
Answer» SECA + tan A sinA COSA `"(1-sin A)"/"(1+sinA)"` `"(1-cosA)"/"(1+cosA)"` Answer :C

Discussion

821.	There are two number series given below. First number series is arranged in a particular way and second series is based on first series. On the basis of this, which number will come at the place of D.49 100 153 208 265 324:16ABCDE
Answer» ANSWER :232

Discussion

822.	How many factors of the number 16! Don't have their unit digit 5?
Answer» (A) 252 (B) 7201 (C) 5124 (D) 5040 Answer :C

Discussion

823.	threefaircoinsare tossedsimultaneously. Findthe propability of gettingone tail .
Answer» 1 `1/4` `5/8` `3/8` ANSWER :D

Discussion

824.	Nandita scored 80% marks in five subjects together viz Hindi , Science, Maths , English and Sanskrit , where is the maximummarks of each subject were 105. How many marks did Nandita score in Scienceif she scored 89 marks in Hindi , 92 marks in Sanskrit, 98 marks in Maths and 81 marks in English ?
Answer» 60 75 65 70 Solution :(a) Total marks SCORED by NANDITA `=525xx(80)/(100)=420` Let Score in Science be X 89+92+95+81+x=420 360+x=420 `implies` x=60

Discussion

825.	What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres ? (Use pi = (22)/(7))
Answer» `1/9` `2/9` `7/9` `8/9` ANSWER :B

Discussion

826.	A 280 m long train crosses a platform which is three times of its length, in 6 min 40 s. What is the speed of the train?
Answer» 3.2m/s 1.4m/s 2.8m/s Cannot be determined Answer :C

Discussion

827.	A person has some amount with him. 25%of its is stolen in a bus, 10%is lost through a hole in the pocket, 50%of remainder is spent on food. He then purchases a book worth Rs. 26 from the remainder. He walks back home because all his money is over. What was the initial amount?
Answer» ANSWER :RS. 80

Discussion

828.	The value of (1/(log_(5)210) + 1/(log_(6) 210) + 1/(log_(7)210)) is:
Answer» 0 1 18 21 Answer :B

Discussion

829.	The maximum value of the expression 27 - \|9x - 8\| is :
Answer» 0 `-9` `8/17` NONE of these ANSWER :B

Discussion

830.	I.4x^(2) - 13x - 12 = 0 II.y^(2) - 7y - 60 = 0
Answer» if` x GT y` if ` x LT y` if ` x LE y` if x = y or cannot be established Solution :` (x - 4) (4x + 3) = 0` ` x = 4, -3//4` ` (x+5)(x-12) = 0` ` y = 12, -5`

Discussion

831.	If( 2 + sqrt(3)) a = (2 - sqrt(3)) b = 1 thenthe value of (1)/(a) + (1)/( b) is
Answer» `-5` `1` `4` `9` Answer :B

Discussion

832.	Let theleast number of six digits, which when divided by 4, 6, 10 and 15, leaves ineach case the same remainder of 2, be N. The sumof the digits in Nis(a) 3 (b) 4 (c) 5 (d) 6
Answer» 3 5 4 6 Answer :B

Discussion

833.	if log_(10)x=a, log_(10)y=b and log_(10)z=c, then antilog (pa + qb - rc)=?
Answer» `(pxqy)/(RZ)` `px+qy-rz` `(x^py^q)/(z^r)` `x^py^qz^r` ANSWER :C

Discussion

834.	Mr. A has x children by his first wife and Ms. B has x+1 children by her first husband. They marry and have children of their own. The whole family has 10 children. Assuming that two children of the same parents do not flight. The number of maximum fights that can take place______________.
Answer» 33 22 111 none of these Answer :A

Discussion

835.	A and B borrowed Rs. 2000 and Rs. 3000 respectively at the same rate of interest for 2(1)/(2) years. If B paid Rs. 125 more interest than A, find the rate of interest.
Answer» ANSWER :0.05

Discussion

836.	For the quadratic equation 3x^2+12x+10=0 , what is the vertex-of the.graph?
Answer» `y= -2` `y= -4` y = 3 6 Answer :A

Discussion

837.	Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?
Answer» ` 8 5/13 hrs.` `8 4/13 hrs.` `7 4/13` hrs `8 6/13 hrs` Solution :Let T is the time TAKEN by the pipes to fill the tank Let capacity of tank `= LCM of (12, 18, 24)=72` units `therefore` P in 1 min can fill 6 units Q in 1 min can fill 4 units R in 1 min can fill 3 units `therefore (10 t + 3 (t-12)=72` `13 t= 108` `rArr t = 8 4/13` hours

Discussion

838.	If {2(1)/(4)} is the solution set of a quadratic equation, find the equation.
Answer» `4x^(2)-9x+2=0` `2x^(2)-9x + 4=0` `x^(2)-18X-6=0` `2x^(2)-18x + 3= 0` ANSWER :A

Discussion

839.	Two chords AB and CD intersect at E . The centre of circle is O .angle BOD = 50^(@)and ∠ AOC = 40^∘" find " angle AEC
Answer» ANSWER :`45^(@)`

Discussion

840.	Two friends P and Q are running in opposite direction from A to B and another from B to A . Speed of P is 8/5 of speed of Q . After meeting each other , if P takes 3.5 hours to reach B then what will be the time taken by Q to reach A after meeting ?
Answer» 8.96 hours 9 hours 9.20 hours 10 hours SOLUTION :We KNOW that `(S_(1))/(S_(2)) = sqrt((t_(2))/(t_(1))) = (8)/(5) = sqrt((t_(2))/(3.5))` `= (64)/(25) = (t_(2))/(3.5) implies t_(2) = 8.96` hours

Discussion

841.	If theperimeters of a square and a rectangle are the same, then the areas Aand Benclosed bythem would satisfy the conditionA B(d) AgeqB
Answer» A GT B A GE B A LT B A LE B Answer :A

Discussion

842.	To pass an examination a candidate needs 40%marks. All question carry equal marks. A candidate just passed by getting 10 answers correct by attempting 15 of the total questions. How many questions are there in the examination?
Answer» ANSWER :25

Discussion

843.	The following pie chart shows the hourly distribution of all the major activities of a student. How much time (in per cent) he spends in games in comparison to sleeping ?
Answer» `30%` `40%` `25%` NONE of these Answer :C

Discussion

844.	How many numbers between -55 and 55 including both the extreme values are divisible by 5 ?
Answer» 100 111 101 None of these ANSWER :C

Discussion

845.	The ratio of milk and water in a pot in 2 : 3. If we subtracted 3l water then ratio become 5: 7. Find the initial quantity of milk.
Answer» 30 LITRE 15 litre 35 litre 10 litre Answer :A

Discussion

846.	whatistheleastpossiblevalueof n if : ""^(n-1)C_3 +^(n-1)C_4 gt ""^nC_3
Answer» 6 8 7 12 Answer :B

Discussion

847.	If P(a, 0), Q(0, b) and R(1, 1) are collinear. Then, find the value of 1/a + 1/b.
Answer» 2 1 -1 0 Answer :B

Discussion

848.	If 5alpha and 4alpha are in Ist quadrant such that sin5alpha=cos4alpha, then 2sin3alpha-sqrt(3)tan3alpha=?
Answer» 1 0 `-1` `1+sqrt(3)` ANSWER :B

Discussion

849.	There are 60 students in a hostel. If the number of students increases by 20, then the expenses of the mess increased by Rs. 120 per day while the average expenditure per head diminishes by Re. 1. Find the original expenditure of the mess.
Answer» ANSWER :RS 600

Discussion

850.	((1-sintheta+costheta)^(2))/((1+costheta)(1-sintheta))=?
Answer» 2 1 3 0 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP( barB):

If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP ( barA nn B ):

Naresh's monthly income is reduced by 15%. By what percentage his monthly income must be increased so that it is again equal to his original monthly income?

Find the critical numbers of tile rational polynomial (x^2+4x+3)/(x^2-x-20).

A fraction becomes (1)/(3)when 1 is subtracted from both the numerator and the denominator. The same fraction becomes (1)/(2)when 1 is added to both the numerator and the denominator. The sum of numerator and denominator of the fraction is

On selling 10 candles profit is equal to SP of 3 pens loss on selling 10 pens is equal to SP of 4 cnadles. Profit % is equal to loss%. The CP of one candle is half of CP of one pen. Find ratio of SP.

A stream engine can travel at 24 km/h without the train wagons. The reduction in speed of engine is directly proportional to the square root of the number of wagons. With 4 wagons the speed of engine is 20 km/h. Find the number of maximum wagons which an pull by the engine?

Find minimum value of sin^(2)theta+cosec^(2)theta+cos^(2)theta+sec^(2)theta+tan^(2)theta+cot^(2)theta=?

Rs. 5120 is divided among 3 men, 4 women and 5 boys. The ratio of share of a man, a woman and a boy is 3:5:7. What is the share of a men?

Abhay lent Rs 8000 to his friend for 3 years at therate of 5% per annum compound interest. What amount does Abhayget after 3 years?

If log_(3)30 =1/a and log_(5) 30 = 1/b then the value of 3 log_(30)2 is:

What is the capacity of the cylindrical tank? I. Radius of the base is half of its height. II. Area of the base is 616 sq m. III. Height of the cylinder is 28 m.

Delta ABC is right angled at A, AB=3 units ,AC=4 units and AD is perpendicular to BC. What is the area of the Delta ADB

There are 3 types of expenditure in a car. Ist raw material, IInd labour expenditure, IIIrd is extra expenditure. The ratio of these expenditure are 4:3:2. If Ist expenditure is increased by 10%, IInd is increased by 8% and IIIrd is decreased by 5%. Find the percentage change in price of car.

(cot^(2)""(theta)/(2)-tan^(2)""(theta)/(2))/(cottheta.cosectheta)=?

On the April 2018, my salary increased from 1,00,000 to x and the rate of income tax decreased by 37.5% so the amount of income tax paid by me remains constant and the diff.in the rate of income tax is 9%. Find the value of x ?

If the quadratic equation has negative real roots and its maximum (extremum) of the graph is 10 unit then the distance between the X-axis and maximum of the graph is

Jwala Gutta and P. V. Sindhu play a one-day series. They stop playing matches as soon as one of them wins 3 matches and in this series no match is drawn. In how many ways can this series be won?

For every a, b in N a" @ "b=a^(2)" when "(a+b)" is even" =a^(2)-b^(2)" when "(a+b)" is odd" a#b=b^(2)" when "axxb" is odd" =a^(2)-b^(2)" when "axxb" is even" Find the value of 20#(21" @ "22):

What is the simplified value of (1/(sec A+ tan A))^2 ?

There are two number series given below. First number series is arranged in a particular way and second series is based on first series. On the basis of this, which number will come at the place of D.49 100 153 208 265 324:16ABCDE

How many factors of the number 16! Don't have their unit digit 5?

threefaircoinsare tossedsimultaneously. Findthe propability of gettingone tail .

Nandita scored 80% marks in five subjects together viz Hindi , Science, Maths , English and Sanskrit , where is the maximummarks of each subject were 105. How many marks did Nandita score in Scienceif she scored 89 marks in Hindi , 92 marks in Sanskrit, 98 marks in Maths and 81 marks in English ?

What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres ? (Use pi = (22)/(7))

A 280 m long train crosses a platform which is three times of its length, in 6 min 40 s. What is the speed of the train?

A person has some amount with him. 25%of its is stolen in a bus, 10%is lost through a hole in the pocket, 50%of remainder is spent on food. He then purchases a book worth Rs. 26 from the remainder. He walks back home because all his money is over. What was the initial amount?

The value of (1/(log_(5)210) + 1/(log_(6) 210) + 1/(log_(7)210)) is:

The maximum value of the expression 27 - |9x - 8| is :

I.4x^(2) - 13x - 12 = 0 II.y^(2) - 7y - 60 = 0

If( 2 + sqrt(3)) a = (2 - sqrt(3)) b = 1 thenthe value of (1)/(a) + (1)/( b) is

Let theleast number of six digits, which when divided by 4, 6, 10 and 15, leaves ineach case the same remainder of 2, be N. The sumof the digits in Nis(a) 3 (b) 4 (c) 5 (d) 6

if log_(10)x=a, log_(10)y=b and log_(10)z=c, then antilog (pa + qb - rc)=?

Mr. A has x children by his first wife and Ms. B has x+1 children by her first husband. They marry and have children of their own. The whole family has 10 children. Assuming that two children of the same parents do not flight. The number of maximum fights that can take place______________.

A and B borrowed Rs. 2000 and Rs. 3000 respectively at the same rate of interest for 2(1)/(2) years. If B paid Rs. 125 more interest than A, find the rate of interest.

For the quadratic equation 3x^2+12x+10=0 , what is the vertex-of the.graph?

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?

If {2(1)/(4)} is the solution set of a quadratic equation, find the equation.

Two chords AB and CD intersect at E . The centre of circle is O .angle BOD = 50^(@)and ∠ AOC = 40^∘" find " angle AEC

Two friends P and Q are running in opposite direction from A to B and another from B to A . Speed of P is 8/5 of speed of Q . After meeting each other , if P takes 3.5 hours to reach B then what will be the time taken by Q to reach A after meeting ?

If theperimeters of a square and a rectangle are the same, then the areas Aand Benclosed bythem would satisfy the conditionA B(d) AgeqB

To pass an examination a candidate needs 40%marks. All question carry equal marks. A candidate just passed by getting 10 answers correct by attempting 15 of the total questions. How many questions are there in the examination?

The following pie chart shows the hourly distribution of all the major activities of a student. How much time (in per cent) he spends in games in comparison to sleeping ?

How many numbers between -55 and 55 including both the extreme values are divisible by 5 ?

The ratio of milk and water in a pot in 2 : 3. If we subtracted 3l water then ratio become 5: 7. Find the initial quantity of milk.

whatistheleastpossiblevalueof n if : ""^(n-1)C_3 +^(n-1)C_4 gt ""^nC_3

If P(a, 0), Q(0, b) and R(1, 1) are collinear. Then, find the value of 1/a + 1/b.

If 5alpha and 4alpha are in Ist quadrant such that sin5alpha=cos4alpha, then 2sin3alpha-sqrt(3)tan3alpha=?

There are 60 students in a hostel. If the number of students increases by 20, then the expenses of the mess increased by Rs. 120 per day while the average expenditure per head diminishes by Re. 1. Find the original expenditure of the mess.

((1-sintheta+costheta)^(2))/((1+costheta)(1-sintheta))=?