8677 + Interview Questions in Maths in Class 14 Page 52 InterviewSolution

2551.	In the IGNOU (Indira Gandhi National Open University) there are total 16,000 students pursuing MBA, which offers the specialization only in Finance, HR and Marketing IGNOU accepts only Science, Commerce and Engineering Students for the two years course of MBA. The number of science. students is 166.66% of the Commerce students. Number of Engineering students is equal to the number of Science and Commerce students together. Each student can specialize in only one of the marketing , HR and Finance, 20% of Science students opted the Finance, which is 16.66% less than the no. of commerce students who opted Finance. The total Finance students is equal to 18% the total strength of the MBA students. 32% of Science students opted HR. Commerce students who opted HR is equal to 25% of total students specializing in Finance and Engineering students equal to 6.5% of the total strength of the MBA students opted HR. The number of Engineering students who opted marketing is :
Answer» 7850 7500 8850 none of these Answer :D

Discussion

2552.	In the IGNOU (Indira Gandhi National Open University) there are total 16,000 students pursuing MBA, which offers the specialization only in Finance, HR and Marketing IGNOU accepts only Science, Commerce and Engineering Students for the two years course of MBA. The number of science. students is 166.66% of the Commerce students. Number of Engineering students is equal to the number of Science and Commerce students together. Each student can specialize in only one of the marketing , HR and Finance, 20% of Science students opted the Finance, which is 16.66% less than the no. of commerce students who opted Finance. The total Finance students is equal to 18% the total strength of the MBA students. 32% of Science students opted HR. Commerce students who opted HR is equal to 25% of total students specializing in Finance and Engineering students equal to 6.5% of the total strength of the MBA students opted HR. The most preferable course among the MBA students is :
Answer» Finance HR marketing I.T. and systems Answer :C

Discussion

2553.	In the IGNOU (Indira Gandhi National Open University) there are total 16,000 students pursuing MBA, which offers the specialization only in Finance, HR and Marketing IGNOU accepts only Science, Commerce and Engineering Students for the two years course of MBA. The number of science. students is 166.66% of the Commerce students. Number of Engineering students is equal to the number of Science and Commerce students together. Each student can specialize in only one of the marketing , HR and Finance, 20% of Science students opted the Finance, which is 16.66% less than the no. of commerce students who opted Finance. The total Finance students is equal to 18% the total strength of the MBA students. 32% of Science students opted HR. Commerce students who opted HR is equal to 25% of total students specializing in Finance and Engineering students equal to 6.5% of the total strength of the MBA students opted HR. The percentage of Commerce students who opted HR over the total strength of the MBA students is :
Answer» `6.6%` `42.5%` `4.5%` `62.5%` ANSWER :C

Discussion

2554.	How many natural numbers not exceeding 4321 can be formed with the digits 1,2,3,4 if repetition is allowed?
Answer» 123 113 222 313 Answer :D

Discussion

2555.	If the area of a circle is144π sq. cm then its circumference (in cm) is
Answer» 72 75.4 76 78 Answer :C

Discussion

2556.	20 girls, among whom are A and B sit down at a round table. The probability that there are 4 girls between A and B is:
Answer» `17/19` `2/19` `13/19` `6/19` ANSWER :B

Discussion

2557.	Among the expression (1 - 3p), [1 - (3P)^(2)], [1 - (3P)^(3)] and [1 - (3P)^(4)] the number of factors of (1 - 81 P^4) is :
Answer» ONE TWO FOUR THREE ANSWER :D

Discussion

2558.	If a number 'n' can exactly, divide (5^14-1) then 'n' can necessarily divide:
Answer» `(5^(28) - 1)` `(5^(42) - 1)` `(5^(21)+1)` both (a) and (B) Answer :D

Discussion

2559.	A couple got married 9 years ago when the age of wife was 20% less than her husband. 6 years from no the age of wife will be only 12.5% less than her husband. Now they have six children including single, twins and triplets and the ratio of their ages is 2:3:4 respectively. What can be the sum of the present age of the couple?
Answer» a.65 years B.63 years c.56 years d.83 years Answer :B

Discussion

2560.	If n is a whole number greater than 1, then n^2(n^2-1)is always divisible by8(b) 10 (c) 12 (d) 16
Answer» 16 12 10 8 Answer :B

Discussion

2561.	Which one of the following is correct ? (i) 13^31gt31^13 (ii) 10^100lt100^10 (iii) 23^2lt32^2
Answer» (i) and (II) (i) and (III) (ii) and (iii) (i) only Answer :D

Discussion

2562.	A seller buys a watch for ₹ 2000 and marks it up to ₹ 3120. Further, he gives three successive discounts of x%, y% and z% in such a way that x + y + z = 37.5. If his overall profit/loss percentage is p, what could be the possible value of p?
Answer» `62.5ltplt87.5` `60ltplt62.5` `-2.5ltplt4.5` `60ltplt71.5` ANSWER :D

Discussion

2563.	From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everything he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosene 4th time, the total amount of kerosene in the mixture is :
Answer» 81.92 l 96 l 118.08 l none of these Solution :The AMOUNT of PETROL left after 4 operations =`200xx(1-(40)/(200))^4 = 200xx(4/5)^4` =`200xx(256)/(625) = 81.92 LITRES` Hence the amount of kerosene = 200-81.92 = 118.08 litres.

Discussion

2564.	If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together construct 40 km road in how many days?
Answer» 10 20 40 can’t be determined Answer :B

Discussion

2565.	There is a rebate of 15%if electric bills are paid in time. A man got a rebate of Rs. 54 by paying the bill in time. His electric bill was:
Answer» ANSWER :RS. 360

Discussion

2566.	If (a+b):(a-b)=15:1 then the value of a^(2)-b^(2) is:
Answer» 56 15 112 8 Solution :`((a + B))/((a - b)) = 15/1 implies a/b = 8/7` (by componendo and dividendo) THEREFORE `a^2 - b^2 = 64 -49 = 15

Discussion

2567.	For what value of k, the following equations have no solutions? 9x+4y=9 7x+ky=5
Answer» 3 4.7 28//9 9//28 Answer :C

Discussion

2568.	D is a point on side BC of a TriangleABC such thatAD bot BCand E is a point on AD for which (Ae)/(ED) = (5)/(1)If angle BAD = 30^(@) tan angle ACB = 6 tan angle DBE. find angle ACB
Answer» ANSWER :`60^(@)`

Discussion

2569.	Find unit digit of 1!+2!+3!+-------+100!
Answer» ANSWER :`=3`

Discussion

2570.	There is a set of 10 integers {0,1,2,3,...,9}. In how many ways you can permute this set of integers such that either 3 and 6 or 5 and 4 or 6 and 5 appear consecutively? (For example, we do not count (4,5,0,6,9,2,3,7,8,1), as we want 5 and 4 to appear consecutively in that order. But we count (7,2,0,1,4,3,6,5,8,9), both 3 and 6 and 5 appear consecutively in it.)
Answer» 962640 960049 368460 313200 Answer :A

Discussion

2571.	x varies directly as y and x varies inversely as the square of z. When y = 75 and x = 6, then z = 5. Find the value of x when y = 24 and z = 4 :
Answer» 1 2 3 4 Answer :C

Discussion

2572.	There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities, is
Answer» 92 90 91 93 Answer :B

Discussion

2573.	If U_m be defined as the sum of m terms of the series V, where V=S_m+S_(m+1)+S_(m+2)+....Find U_(34):
Answer» `2^(33)-1` `2^(33)+1` `2^(34)-1` none Answer :A

Discussion

2574.	If (y )/(x -z) = (y +x)/(z) = (x)/(y) then x :: y :z = ?
Answer» `3:2:4` `4:3:2` `4:2:3` `1:2:3` ANSWER :C

Discussion

2575.	Stephen's birthday, this year falls on 2nd April, Wednesday. But coincidently his marriage anniversary is 2 days before the 23rd of the same month. On which day he will celebrate his marriage anniversary?
Answer» Wednesday Thursday Friday datainsufficient Answer :B

Discussion

2576.	Which is prime number ?
Answer» 1001 100001 1027 1009 Answer :d

Discussion

2577.	A trader has a faulty balance that weighs 20% less than what it should weigh. What should be the minimum mark up per cent, if he wants to earn 50% profit?
Answer» 12.5 16.67 20 25 Answer :C

Discussion

2578.	If aDeltab = a^b + ab +a/b, then (9Delta3) is equal to :
Answer» 729 927 759 none of these Answer :C

Discussion

2579.	A can do a picec of work in 10 days and B is 25% more efficient than A. In what time will the work be finished if A and B work together ?
Answer» `4 4/9` days `5 5/7` days 5 days `6 2/3` days Solution :Time TAKEN by `B= 10xx 100/125 = 8 ` days Required days = ` (8xx10)/18 = 4 4/9` days `= 10 DIV (1+1.25)= 10/2.25 = 40/9=4 4/9`

Discussion

2580.	Two trains start at the same time from points x and y towards each other and after crossing , they take 9 h and 4 h in reaching points y and x ,respectively. Find the ratio of speeds of the 1st train to that of the 2ndtrain.
Answer» a. `2:3` B. `3:2` C. `2:5` d. `5:3` ANSWER :A

Discussion

2581.	Two trains starting at the same time from two stations 300 km apart and going opposite directions cross each other at a distance of 160 km from one of them the ratio of their speeds is:
Answer» `7:9` `16:20` `8:7` `8:12` ANSWER :C

Discussion

2582.	If T_(n)=sin^(n)theta+cos^(n)theta then (T_(3)-T_(5))/(T_(1))=?
Answer» `sintheta.costheta` `SIN^(2)THETA.cos^(2)theta` `sin^(2)theta.costheta` `sintheta.cos^(2)theta` ANSWER :B

Discussion

2583.	5 yr ago, age of Sachin was 4 times the age of Vineet and after 10 yr, Sachin will be twice as ld as Vineet. Find the present age of Sachin and Vineet.
Answer» ANSWER :`12 ( 1)/(2) y R `

Discussion

2584.	If a sum of money at compound interest amounts to thrice itself in 3 years then in how many years will it be 9 times itself?
Answer» ANSWER :6 YEARS

Discussion

2585.	cos51^(@)-sin39^(@)+sin37^(@)-cos53^(@)=?
Answer» 0 1 `cos104^(@)` `sin39^(@)` ANSWER :A

Discussion

2586.	If f(x + 1/x) = x^2 + 1/(x^2) , then f(t) equals to :
Answer» `t^2-1/t^2` `t^2+1/t^2` `t^2+2` `(t-1)^2` Solution :SINCE `F(x-1.x) = x^2 + 1/x^2` `rArr f(x-1/x) = (x-1/x) + 2` HENCE `f(t) = t^2 + 2`

Discussion

2587.	If (x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)/((a-b)(a+b-2c)) then the value of (x+y+z) is :
Answer» a+B+c 0 `a^2+b^2+c^2` can't be determined Answer :B

Discussion

2588.	The ratio of two numbers is 4 : 5 and their LCM is 120. The numbers are
Answer» 30,40 40,32 24,30 36,20 Answer :C

Discussion

2589.	how many different words can be formed with the letters RAINBOW so that the vowels occupy odd places ?
Answer» a)676 b)625 c)343 d)576 Answer :D

Discussion

2590.	How many different words can be formed with the letters of the word REGURGITATE so that the two T's are always together?
Answer» 453600 543600 183600 5040 Answer :A

Discussion

2591.	5 kg of butter was bought by a shopkeeper for Rs. 300. One kg become unsaleable. He sells the remaining in such a way that on the whole he occurs a loss of 10%. At what per kg was the butter sold?
Answer» RS . 67.50 Rs . 52.50 Rs . 60 Rs . 72.50 Answer :A

Discussion

2592.	Two bottles A and B are filled with dilute sulphuric acid (sulphuric acid + water). In bottle A, water is 40% of the acid and in bottle B, acid is 60% of the water. How much mixture should we take from each bottle respectively to make 190 lt dilute sulphuric acid containing half acid and half water?
Answer» ANSWER :70 LT, 120lt

Discussion

2593.	A man buys 5 horses and 7 oxen for Rs 5850. He sells the horses at a profit of 10% and oxen at a profit of 16% and his whole gain is Rs 711. What price does he pay for a horse?
Answer» ANSWER :RS. 750

Discussion

2594.	The maximum value of absz when z satisfies the condition abs(z+2/z)=2 is :
Answer» `SQRT3-1` `sqrt3` `sqrt3+1` 1 Answer :C

Discussion

2595.	P Qis a chordof length 8 cm of a circle of radius 5 cm. The tangents at Pand Qintersectat a point T. Find thelength T P.
Answer» `(10)/(3)` `(20)/(3)` `(23)/(3)` `(13)/(3)` Answer :B

Discussion

2596.	Find the minimum and maximum value of 7cosalpha+24sinbeta.
Answer» `-7and7` `-25and25` `-24and24` `-31and31` ANSWER :A::C

Discussion

2597.	The smallest number to be added to 1000, so that 45 divides the sum exactly, is :
Answer» 35 80 20 10 Answer :A

Discussion

2598.	The value of log_(0.001) (10000) is:
Answer» `1//2` `-2` `1//4` `-4` ANSWER :B

Discussion

2599.	A person X starts from lucknow and another person Y starts from Kanpur to meet each other.Speed of X is 25 km/h while speed of Y is 35 km/h.if he distance between lucknow and kanpur be 120 km and both X and Y start their journey at the same time,When will they meet?
Answer» 50 km 60 km 100 km 80 km Answer :A

Discussion

2600.	Consider a random experiment in which a coin is tossed and if the coinshows head it is tossed again but ifit shows a tail then a die is tossed. If 8 possible outcomes areequally likely. Find the probability that the die shows a number greater than4 if it is known that the first throw of the coin results in a tail.
Answer» `1/3` `2/3` `2/5` `4/15` ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

How many natural numbers not exceeding 4321 can be formed with the digits 1,2,3,4 if repetition is allowed?

If the area of a circle is144π sq. cm then its circumference (in cm) is

20 girls, among whom are A and B sit down at a round table. The probability that there are 4 girls between A and B is:

Among the expression (1 - 3p), [1 - (3P)^(2)], [1 - (3P)^(3)] and [1 - (3P)^(4)] the number of factors of (1 - 81 P^4) is :

If a number 'n' can exactly, divide (5^14-1) then 'n' can necessarily divide:

If n is a whole number greater than 1, then n^2(n^2-1)is always divisible by8(b) 10 (c) 12 (d) 16

Which one of the following is correct ? (i) 13^31gt31^13 (ii) 10^100lt100^10 (iii) 23^2lt32^2

A seller buys a watch for ₹ 2000 and marks it up to ₹ 3120. Further, he gives three successive discounts of x%, y% and z% in such a way that x + y + z = 37.5. If his overall profit/loss percentage is p, what could be the possible value of p?

If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together construct 40 km road in how many days?

There is a rebate of 15%if electric bills are paid in time. A man got a rebate of Rs. 54 by paying the bill in time. His electric bill was:

If (a+b):(a-b)=15:1 then the value of a^(2)-b^(2) is:

For what value of k, the following equations have no solutions? 9x+4y=9 7x+ky=5

D is a point on side BC of a TriangleABC such thatAD bot BCand E is a point on AD for which (Ae)/(ED) = (5)/(1)If angle BAD = 30^(@) tan angle ACB = 6 tan angle DBE. find angle ACB

Find unit digit of 1!+2!+3!+-------+100!

x varies directly as y and x varies inversely as the square of z. When y = 75 and x = 6, then z = 5. Find the value of x when y = 24 and z = 4 :

There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities, is

If U_m be defined as the sum of m terms of the series V, where V=S_m+S_(m+1)+S_(m+2)+....Find U_(34):

If (y )/(x -z) = (y +x)/(z) = (x)/(y) then x :: y :z = ?

Stephen's birthday, this year falls on 2nd April, Wednesday. But coincidently his marriage anniversary is 2 days before the 23rd of the same month. On which day he will celebrate his marriage anniversary?

Which is prime number ?

A trader has a faulty balance that weighs 20% less than what it should weigh. What should be the minimum mark up per cent, if he wants to earn 50% profit?

If aDeltab = a^b + ab +a/b, then (9Delta3) is equal to :

A can do a picec of work in 10 days and B is 25% more efficient than A. In what time will the work be finished if A and B work together ?

Two trains start at the same time from points x and y towards each other and after crossing , they take 9 h and 4 h in reaching points y and x ,respectively. Find the ratio of speeds of the 1st train to that of the 2ndtrain.

Two trains starting at the same time from two stations 300 km apart and going opposite directions cross each other at a distance of 160 km from one of them the ratio of their speeds is:

If T_(n)=sin^(n)theta+cos^(n)theta then (T_(3)-T_(5))/(T_(1))=?

5 yr ago, age of Sachin was 4 times the age of Vineet and after 10 yr, Sachin will be twice as ld as Vineet. Find the present age of Sachin and Vineet.

If a sum of money at compound interest amounts to thrice itself in 3 years then in how many years will it be 9 times itself?

cos51^(@)-sin39^(@)+sin37^(@)-cos53^(@)=?

If f(x + 1/x) = x^2 + 1/(x^2) , then f(t) equals to :

If (x)/((b-c)(b+c-2a))=(y)/((c-a)(c+a-2b))=(z)/((a-b)(a+b-2c)) then the value of (x+y+z) is :

The ratio of two numbers is 4 : 5 and their LCM is 120. The numbers are

how many different words can be formed with the letters RAINBOW so that the vowels occupy odd places ?

How many different words can be formed with the letters of the word REGURGITATE so that the two T's are always together?

5 kg of butter was bought by a shopkeeper for Rs. 300. One kg become unsaleable. He sells the remaining in such a way that on the whole he occurs a loss of 10%. At what per kg was the butter sold?

A man buys 5 horses and 7 oxen for Rs 5850. He sells the horses at a profit of 10% and oxen at a profit of 16% and his whole gain is Rs 711. What price does he pay for a horse?

The maximum value of absz when z satisfies the condition abs(z+2/z)=2 is :

P Qis a chordof length 8 cm of a circle of radius 5 cm. The tangents at Pand Qintersectat a point T. Find thelength T P.

Find the minimum and maximum value of 7cosalpha+24sinbeta.

The smallest number to be added to 1000, so that 45 divides the sum exactly, is :

The value of log_(0.001) (10000) is:

A person X starts from lucknow and another person Y starts from Kanpur to meet each other.Speed of X is 25 km/h while speed of Y is 35 km/h.if he distance between lucknow and kanpur be 120 km and both X and Y start their journey at the same time,When will they meet?