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

651.	If a commission of 10% is given on the marked price of a book, the publisher gains 20%. If the commission is increased to 15%, the gain of publisher is :
Answer» `13.33%` `15%` `18%` DATA insufficient Answer :A

Discussion

652.	Find the ratio of AD and CD when AB = 3 cmBC = 4 cm angle B = 90^(@). Also find area of Delta ADB
Answer» ANSWER :`(54)/(25) CM^(2)`

Discussion

653.	If x and y be integer such that 3x + 2y = 1 then consider the following statements regarding x and y : 1. x and y can be found using eucliden algorithm. 2. x and y are positive 3. x and y are uniquely determined . Of these statements:
Answer» 1 and 2 are correct. 1 alone is correct. 1 and 3 are correct. 1 ,2 and 3 are correct ANSWER :C

Discussion

654.	A box contains 25 tickets, numbered 1, 2, 3, .. 25. A ticket is drawn and then another ticket is drawn without replacement. Find the probability that both tickets will show odd numbers.
Answer» `37/50` `13/50` `13//25` NONE of these Answer :B

Discussion

655.	What was the difference in the number of Q type cars produced in 2012 and that produced in 2013?
Answer» a.25500 b.27000 c.22500 d.17500 Answer :A

Discussion

656.	8 men and 6 women can comlete a piece of work in 42 days. How many days will it take for 12 lmen and 9 women to complete the same work ? A. 6 men can complete the work in 84 days. B. 7 women can complete the work in 126 days. C. The amount of work done by a woman is four-sevenths of the work done by a man in one day.
Answer» Any two of them Any of them Only C No need of any INFORMATION Solution :According to QUESTION. `8M+6W=1/42` `1.5(8M+6E)=1.5xx1/42` `12M+9W=1/28` So, WORK will be COMPLETED in 28 days. `therefore` No information is required to answer.

Discussion

657.	A takes 4(1)/(2) days more than (A + B) together to complete a work. B takes 8 days more than (A + B) together to complete a work. In how many days will (A + B) complete this work ?
Answer» ANSWER :6 DAYS

Discussion

658.	If a_(1),a_(2),a_(3)(a_(1)gt0) are three successive terms of a GP with common ratio r, the value of r for which a_(3)gt4a_(2)-3a_(1) holds is given by
Answer» `1ltrlt3` `-3ltrlt-1` `rlt1` and `rgt3` none Answer :C

Discussion

659.	If two persons, with equal abilities, can do two jobs in two days, then 100 persons with equal abilities can do 100 similar Jobs in
Answer» 100 DAYS 10 days 5 days 2 days Answer :D

Discussion

660.	If log_(2)x + log_(4)x + log_(64)x =5, find x:
Answer» 8 16 7 2 Answer :A

Discussion

661.	Thetotal numberof elementsin the powerset of a set Acontainingn elements is :
Answer» `n^2` `2^n` `2^n-1` NONE of these Answer :B

Discussion

662.	The probabilityof occurrenceof twoeventsA and Bare1//4 and 1//2respectively. Theprobabilityoftheirsimultaneousoccurrenceis 7/50.Find theprobabilitythateitherA or Bmustoccur.
Answer» `61/100` `29/100` `39/100` `56/99` ANSWER :A

Discussion

663.	If the ratio of angles of a quadrilateral is 2 : 7 : 2 : 7 then, quadrilateral will be.
Answer» Rectangle Square Parallelogram Rhombus Answer :C

Discussion

664.	How many different words can be formed with the letters of the word NAINITAL such that each of the word begin with L and end with T?
Answer» a. 90 b. 80 c. 88 d. 82 Answer :A

Discussion

665.	There is 4 volume encyclopaedia among 40 books arranged on a shelf in a random order. If the volumes are not necessarily kept side by side, the probability that they occur in increasing order from left to right is :
Answer» `1/24` `1/12` `1/10` NONE of these Answer :A

Discussion

666.	Nishith is now 20 years old. Some years later his age will increase by 50% of himself. What will be the new age at that time ?
Answer» SOLUTION :`20(1+ 1/2) =30 YEARS` `[:.20+20xx1/2=20(1+1/2)]`

Discussion

667.	The value of (log tan 1^(@) + log tan 2^(@)+……. + log tan 89^(@)) is
Answer» `-1` 0 `1/sqrt(2)` 1 Answer :B

Discussion

668.	On selling an article for Rs. 1470 a man gets profit of 22.5%. Find the cost price of the aricle.
Answer» ANSWER :RS. 1200

Discussion

669.	Each employee in our office at Lamamia must wear a shirt, a tie and a pair of pants to dress up oneself. Thus, any employee in our office can waer exactly 105 distinct combinations with the help of different colours. No two employees have equal number of quantities of all the three things individually. That is no two employees have x shirts, y ties and z pairs of pants. No two employees have the same colours of their clothes. Maximum how many employees are there in our office?
Answer» A) 24 B) 27 C) 35 D) 105 Answer :B

Discussion

670.	If x=2^(1//3)+2^(-1//3) then the value of 2x^3-6x will be :
Answer» 5 -5 1 0 Answer :A

Discussion

671.	A child has three different kinds of chocolates costing ₹ 2, ₹ 5 and ₹ 10. He spends total ₹ 120 on the chocolates. What is the minimum possible number of chocolates, he can buy, if there must be atleast one chocolate of each kind?
Answer» 22 19 17 15 Answer :C

Discussion

672.	If from a circular sheet of paper of radius 15 c, a sector of 144^(@) is removed and the remaining is used to make a conical surface, then the angle at the vertex will be :
Answer» `sin^(-1)((3)/(10))` `sin^(-1)((6)/(5))` ` 2sin^(-1)((3)/(5))` `2 sin^(-1)((4)/(5))` Answer :C

Discussion

673.	What will be the true discount for the present worth of X 600 for a period of 4 yr at 4% per annum rate of interest?
Answer» X 100 X 32 X 86 X 96 Answer :D

Discussion

674.	The three sides of a triangles are given which one of the following is not a right angle :
Answer» 20,21,29 16,63,65 5690106 36,35,74 Answer :D

Discussion

675.	Loss incurred by selling an article for Rs 600 is equal to profit gained by selling same article for Rs 1000 Find the cost price of this article
Answer» ANSWER :RS. 800

Discussion

676.	A boat moves downstream at 1 km in 5 min and upstream at 1 km in 12 min what is the speed of the current?
Answer» 4.5 km/h 3.5 km/h 2 km/h 2.5 km/h Answer :B

Discussion

677.	Average marks of 40 students is 72. Three numbers 64, 62 & 84 were mistakenly read as 68, 65, 73 respectively. Find the actual average.
Answer» ANSWER :72.1

Discussion

678.	Find the remainder when (3)^(555) is divided by 7.
Answer» 2 4 5 6 Answer :d

Discussion

679.	Which one is incorrect?
Answer» `sintheta=(3)/(4)` `costheta=(1)/(3)` `SECTHETA=(1)/(2)` `tantheta=9` ANSWER :C

Discussion

680.	The remainder when (3)^81 is divided by 28 is :
Answer» 1 8 18 26 Answer :A

Discussion

681.	X can beat Y by 200 m in a race of 2000 mY can beat Z by 100 m in a race of 2500 m.By how many metres can X beat Z in a race of 1000 m.
Answer» ANSWER :136 m

Discussion

682.	The ratio of the volumeof a right circular cylinderand a right circular cone of the same base and height willbe :
Answer» 2:3 1:3 3:1 9:1 Answer :C

Discussion

683.	There were two candidates in an election. One got 41% of total votes and lost by 5580 votes. Find the total votes.
Answer» ANSWER :31000

Discussion

684.	A takes 6 days less than B to do a certain job and 2 days more than C. A and B together can do the work in the same time as C. In how many days B alone can do the complete work?
Answer» 10 14 12 16 Answer :C

Discussion

685.	The give expression n^4 - n^2 is divisible by for n in I^+ and n > 2:
Answer» 4 8 12 all of these Answer :D

Discussion

686.	A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Answer» a. 8 b. 7.5 c. 7 d. 9 Answer :A

Discussion

687.	An uninitiated student once visited a test prep portal www. Lamamla. in to assess her quantitative ability for SSC CGL. She took a test in which there were total 18 problems each with four option-A, B, C and D. After glancing through the whole test paper she realized that she was not able to crack even a single problems. Then after a while she changed the answers by marking B in each third problem, starting with the third problem. Unsatisfied with her answer, she again changed the answer by marking C in each second problem, starting with the second problem. In her final attempt to guess the answer,she changed the answers by marking D in each ninth problem, starting with the ninth problem. While.changing the answer she moves from the first to the last problem in an orderly way. What are the number of final answer that she marked in terms of A, B, C, and D, respectively?
Answer» 6, 2, 1, 9 6, 2, 8, 2 2, 4, 6, 6 4, 6, 2, 6 Answer :B

Discussion

688.	A bouncing tennis ball rebounds each time to a height equal to one half the height of the previous bounce. If it is dropped from a height of 16 m , find the total distance it has travelled when it hits ground for the 10th time :
Answer» 47(15/16) 37(5/16) 67(11/16) NONE of these Answer :A

Discussion

689.	If x= (4sqrt(15))/(sqrt5+sqrt3), then (x+sqrt(20))/(x-sqrt(20))+(x+sqrt(12))/(x-sqrt(12))=?
Answer» ANSWER :2

Discussion

690.	If 1 is added to the denominator of a fraction it becomes (1)/(2) . If 1 is added to the numerator it becomes 1. The product of numerator and denominator of the fraction is
Answer» 6 10 12 14 Answer :A

Discussion

691.	The ratio of milk and water in a pot is 1:3. If we added 9 litre milk and 9 litre water then the ratio becomes 2: 3. How much quantity of total mixture was present initially?
Answer» 6 litre 24 litre 12 litre 10 litre ANSWER :C

Discussion

692.	If (p/q)^(n-1)=(q/p)^(n-3), then the value of n is
Answer» 2 3 4 5 Answer :A

Discussion

693.	If alpha and beta are the roots of the equation x^(2)-2x-1=0. Find the value of alpha^(2)beta+alphabeta^(2):
Answer» `-8` `-5` 6 `-2` ANSWER :D

Discussion

694.	By selling a wrist watch at ₹ 405 the shopkeeper incurs a loss of 10%. What is the gain or loss percentage if he sells same watch at ₹ 465?
Answer» PROFIT of `10%` LOSS of `6%` profit of `3.33%` no profit no loss Answer :C

Discussion

695.	A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?
Answer» A.45, 10 B.10, 50 C.9, 50 D.50, 15 Answer :RS. 1900

Discussion

696.	If the quadratic equation is x^2-34x+93=0
Answer» A) both the roots are positive B) both the roots are negative C) ONE root is positive and ANOTHER one is negative D) one root is rational and another root is irrational Answer :A

Discussion

697.	A rationalising factor of (root3(9)-root3(3)+1) is
Answer» `ROOT (3) (3) -1` `root (3)(3) +1` `root (3) (9)+1` `root (3) (9) -1` ANSWER :B

Discussion

698.	(1001xx1002xx1003)/(27)find R.
Answer» ANSWER :`24`

Discussion

699.	The value of cot(180+theta)cot(90-theta) is:
Answer» 1 -1 0 none of these Answer :B

Discussion

700.	If A = {1,2,3……..9} , B= {2,4,6,7,8} andC = {3,4,5,8,9,10} then (A - B) uu C is .
Answer» {1,3, 4,.5, 8, 9,10} {1.2, 3,4,5. 6,7,8, 9} {2, 4, 6, 7, 8} {1,3, 4, 5, 8, 9} ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

If a commission of 10% is given on the marked price of a book, the publisher gains 20%. If the commission is increased to 15%, the gain of publisher is :

Find the ratio of AD and CD when AB = 3 cmBC = 4 cm angle B = 90^(@). Also find area of Delta ADB

If x and y be integer such that 3x + 2y = 1 then consider the following statements regarding x and y : 1. x and y can be found using eucliden algorithm. 2. x and y are positive 3. x and y are uniquely determined . Of these statements:

A box contains 25 tickets, numbered 1, 2, 3, .. 25. A ticket is drawn and then another ticket is drawn without replacement. Find the probability that both tickets will show odd numbers.

What was the difference in the number of Q type cars produced in 2012 and that produced in 2013?

A takes 4(1)/(2) days more than (A + B) together to complete a work. B takes 8 days more than (A + B) together to complete a work. In how many days will (A + B) complete this work ?

If a_(1),a_(2),a_(3)(a_(1)gt0) are three successive terms of a GP with common ratio r, the value of r for which a_(3)gt4a_(2)-3a_(1) holds is given by

If two persons, with equal abilities, can do two jobs in two days, then 100 persons with equal abilities can do 100 similar Jobs in

If log_(2)x + log_(4)x + log_(64)x =5, find x:

Thetotal numberof elementsin the powerset of a set Acontainingn elements is :

The probabilityof occurrenceof twoeventsA and Bare1//4 and 1//2respectively. Theprobabilityoftheirsimultaneousoccurrenceis 7/50.Find theprobabilitythateitherA or Bmustoccur.

If the ratio of angles of a quadrilateral is 2 : 7 : 2 : 7 then, quadrilateral will be.

How many different words can be formed with the letters of the word NAINITAL such that each of the word begin with L and end with T?

There is 4 volume encyclopaedia among 40 books arranged on a shelf in a random order. If the volumes are not necessarily kept side by side, the probability that they occur in increasing order from left to right is :

Nishith is now 20 years old. Some years later his age will increase by 50% of himself. What will be the new age at that time ?

The value of (log tan 1^(@) + log tan 2^(@)+……. + log tan 89^(@)) is

On selling an article for Rs. 1470 a man gets profit of 22.5%. Find the cost price of the aricle.

If x=2^(1//3)+2^(-1//3) then the value of 2x^3-6x will be :

A child has three different kinds of chocolates costing ₹ 2, ₹ 5 and ₹ 10. He spends total ₹ 120 on the chocolates. What is the minimum possible number of chocolates, he can buy, if there must be atleast one chocolate of each kind?

If from a circular sheet of paper of radius 15 c, a sector of 144^(@) is removed and the remaining is used to make a conical surface, then the angle at the vertex will be :

What will be the true discount for the present worth of X 600 for a period of 4 yr at 4% per annum rate of interest?

The three sides of a triangles are given which one of the following is not a right angle :

Loss incurred by selling an article for Rs 600 is equal to profit gained by selling same article for Rs 1000 Find the cost price of this article

A boat moves downstream at 1 km in 5 min and upstream at 1 km in 12 min what is the speed of the current?

Average marks of 40 students is 72. Three numbers 64, 62 & 84 were mistakenly read as 68, 65, 73 respectively. Find the actual average.

Find the remainder when (3)^(555) is divided by 7.

Which one is incorrect?

The remainder when (3)^81 is divided by 28 is :

X can beat Y by 200 m in a race of 2000 mY can beat Z by 100 m in a race of 2500 m.By how many metres can X beat Z in a race of 1000 m.

The ratio of the volumeof a right circular cylinderand a right circular cone of the same base and height willbe :

There were two candidates in an election. One got 41% of total votes and lost by 5580 votes. Find the total votes.

A takes 6 days less than B to do a certain job and 2 days more than C. A and B together can do the work in the same time as C. In how many days B alone can do the complete work?

The give expression n^4 - n^2 is divisible by for n in I^+ and n > 2:

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A bouncing tennis ball rebounds each time to a height equal to one half the height of the previous bounce. If it is dropped from a height of 16 m , find the total distance it has travelled when it hits ground for the 10th time :

If x= (4sqrt(15))/(sqrt5+sqrt3), then (x+sqrt(20))/(x-sqrt(20))+(x+sqrt(12))/(x-sqrt(12))=?

If 1 is added to the denominator of a fraction it becomes (1)/(2) . If 1 is added to the numerator it becomes 1. The product of numerator and denominator of the fraction is

The ratio of milk and water in a pot is 1:3. If we added 9 litre milk and 9 litre water then the ratio becomes 2: 3. How much quantity of total mixture was present initially?

If (p/q)^(n-1)=(q/p)^(n-3), then the value of n is

If alpha and beta are the roots of the equation x^(2)-2x-1=0. Find the value of alpha^(2)beta+alphabeta^(2):

By selling a wrist watch at ₹ 405 the shopkeeper incurs a loss of 10%. What is the gain or loss percentage if he sells same watch at ₹ 465?

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

If the quadratic equation is x^2-34x+93=0

A rationalising factor of (root3(9)-root3(3)+1) is

(1001xx1002xx1003)/(27)find R.

The value of cot(180+theta)cot(90-theta) is:

If A = {1,2,3……..9} , B= {2,4,6,7,8} andC = {3,4,5,8,9,10} then (A - B) uu C is .