8677 + Interview Questions in Maths in Class 14 Page 23 InterviewSolution

1101.	A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold itself at the same rate of interest?
Answer» ANSWER :20 YEARS

Discussion

1102.	Find the 15th term of the G.P -2,2,-2,….
Answer» -22 2 -2 none of these Answer :C

Discussion

1103.	The remainder when 1^3+2^3+3^3+…+999^3+1000^3 is divided by 13 is :
Answer» 7 11 12 none of these Answer :D

Discussion

1104.	f(x) = 1 - h(x), g(x) = 1 - k(x), h(x) = f(x) + 1 f(x) = g(x) + 1, k(x) = j(x) + 1 (h(f(k(x)))+j(g(h(x)))+k(j(f(x))))/[f(x)+j(x)+k(x)][f(x).j(x)k(x)] is equal to :
Answer» 0 3 `3//2` NONE of these Answer :D

Discussion

1105.	A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. The number of days taken by B to finish the work is :
Answer» 9 18 15 12 Answer :C

Discussion

1106.	What is the least possible number which must besubstracted form 16, 19 and 23 so that the resulting numbers are in continued proportion?
Answer» 2 4 6 7 Solution :Going through potions, we find option (d) is correct. Alternatively (16 - x) : (19 - x) :: (19 - x) : (23 - x) `implies (19 - x)^2 = (16 - x)(23 - x)` By SOLVING the above equation, we GET x = 7b

Discussion

1107.	The number of zeros at the end of ( 3^(123) -3^(122) - 3^(121) )(2^(122) - 2^(121) - 2^(120))
Answer» 1 2 3 0 Answer :a

Discussion

1108.	Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are written in random order. The probability that this seven digit number is divisible by 9 is :
Answer» a. `7/9` B. `1/9` C. `2/(9!)` d. `4/9` ANSWER :B

Discussion

1109.	Two trains start from the same point simultaneously and in the same direction. The first train travels at 40 km/h, and the speed of the second train is 25 percent more than the speed of the first train. Thirty minutes later, a third train starts from the same point and in the same direction. It overtakes the second train 90 minutes later than it overtook the first train. What is the speed of the third train?
Answer» ANSWER : 60 km/h

Discussion

1110.	If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent?
Answer» a. `57%` b. `20%` C. `60%` d. can't be determined Answer :A

Discussion

1111.	Three friends A,B and C decided to share the soda water with d, who had no soda water. A contributed2 tumbler more than that of B and B contributed 1 tumbler more than that of C and then all of them had equal amount of soda water. In turn D paid money, which was divided amont A,B and C in the ratio of their contribution to D. Thus A had gottenn thrice as much money as B had gotten. The price off each tumbler of soda water was Rs. 15 and each transaction was integral in numbers either the sharing of money or contribution of soda water. What was the sum of money that B had gotten?
Answer» RS. 15 Rs. 18 Rs. 22.5 None of these Answer :A

Discussion

1112.	Findthe numberof waysin which12 students may be equallydivided into threegroups .
Answer» 3355 5775 7755 8822 Answer :B

Discussion

1113.	No of factors of 240
Answer» ANSWER :`=20`

Discussion

1114.	Three partners started a business with 80000. At the end of the year, they receive 1800, 3000, 4800 as profit. Find the investment of the second person.
Answer» 20000 25000 27000 32000 Answer :C

Discussion

1115.	Find the number of co-prime numbers of 336.
Answer» Solution :`336 = 2^4xx3xx7` NUMBER of COPRIME NUMBERS of 336 is GIVEN by `varphi(336) = 336(1-1/2)(1-1/3)(1-1/7) = 96` These numbers are 1,3,7,9.

Discussion

1116.	In triangle ABC, angleAis equal to 120^@ . There is a point D inside the triangle such that angleDBC = 2 angleABD and angleDCB = 2angleACD. What is the measure of angleBDC?
Answer» ANSWER :140

Discussion

1117.	A man can hit a target once in 4 shots. if he fires 4 shot in succession what is probability, atleast he will hit target once.
Answer» ANSWER :`45((4)^(2)(3)^(8))/(7^(10))`

Discussion

1118.	The product cos1^(@)cos2^(@)cos3^(@)cos4^(@)......cos100^(@). Is equal to
Answer» `-1` `(1)/(4)` 1 0 Answer :D

Discussion

1119.	Find the values of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.
Answer» `7,-12` `-8//3,-15//4` `-3//8,-4//15` DATA insufficient Answer :B

Discussion

1120.	If (sinA-sinC)/(cosC-cosA)=cotB, then A, B, C are in
Answer» A.P. GP. H.P. NONE of these Answer :A

Discussion

1121.	Solve the following expression : 9 3/5 + 5 3/9
Answer»

Discussion

1122.	If (cos^(2)theta)/(1-tantheta)+(sin^(3)theta)/(sintheta-costheta)=K+sinthetacostheta, then K = ?
Answer» 1 2 3 4 Answer :A

Discussion

1123.	A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives 25/2% of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?
Answer» ANSWER :RS 3850

Discussion

1124.	A school hall has the dimensions 30 m , 12 m by 6m . Find the number of children who can be accommodated, if each child should get 8 m^(3) of space :
Answer» 240 270 250 150 Answer :B

Discussion

1125.	A sum of 430 has been distributed among 45 peopleconsisting of men, women and children. The total amounts given to men, women and children are in the ratio 12 :15 :16. But the amounts received by each man, woman and child are in the ratio 6 :5 4 . Find what each man, woman and child receives (in %).
Answer» `12,10,8` `18,15,12` `120,150,160` `60,75,80` ANSWER :A

Discussion

1126.	If (x-a) (x-b)=1 " & " a-b + 5= 0 find (x-a)^(3) - (1)/((x-a)^(3))= ?
Answer» 125 `-125` 0 140 Answer :A::D

Discussion

1127.	(5sin^(2)30^(@)+cos^(2)45^(@)-4tan^(2)30^(@))/(2sin30^(@).cos30^(@)+tan45^(@))=?
Answer» `(5)/(6)(2-sqrt(3))` `(5)/(6)(2+sqrt(3))` `2-sqrt(3)` `(1)/(6)(2-sqrt(3))` ANSWER :A

Discussion

1128.	A motor boat takes 12 hours to go downstreams and it takes 24 hours to returns the same distance.what is the time taken by boat in still water?
Answer» 15 h 16 h 8 h 20 h Answer :B

Discussion

1129.	How many subsets containing at most n elements from the set of (2n+1) elements can be selected?
Answer» (A) `2^n` (B) `2^(n-1)` (C) `2^(n+1)` (D) `2^(2N)` ANSWER :D

Discussion

1130.	A alone can do a piece of work in 3 days, while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed225. Find the share of A.
Answer» 90 75 95 65 Answer :A

Discussion

1131.	The product of n positive numbers is unity. Then their sum is:
Answer» a POSITIVE integer divisible by n equal to (n+1/n) NEVER LESS than n Answer :D

Discussion

1132.	A man divided his property so that his son's share to his wife's and wife's share to his wife's and wife's share to his daughter's are both as in the ratio 3: 1. If the daughters get Rs 10,000 less than son, the value (in rupees) of the whole property is :
Answer» RS 16,250 Rs 16,000 Rs 18,200 Rs 17,000 Answer :A

Discussion

1133.	In the given diagram O is the centre of the circle and CD is a tangent. angleCAB and angleACD are supplementary to each other angleQAC=30^@. Find the value of angleOCB.
Answer» `30^@` `20^@` `60^@` NONE of these Answer :A

Discussion

1134.	If 2 cos theta=x+(1)/(x), find the value of 2cos 3 theta
Answer» `x^3+1/x^3` `x^2+1/x^2` `x^3-1/x^3` `SQRT(x+1/x)` ANSWER :A

Discussion

1135.	On selling 17 articles for Rs 720 a person incurred loss equal to cost price of 5 articles. Find the C.P. of each article ?
Answer» ANSWER :RS. 60

Discussion

1136.	25% of a solution containing20% petrol, 50% diesel and30% kerosene was replaced with kerosene. Now, 2/3 of the solution obtained in the previous step was replaced with petrol. What is the percentage of diesel in this new solution ?
Answer» ANSWER :`12.5` %

Discussion

1137.	One cubic metre piece of copper is melted and recast into a square cross- section bar , 36 m long. An exact cube is cut off from this bar. If cubic metre of copper cost Rs. 108 , then the costof this cube is :
Answer» 50 paise 75 paise 1 rupee 1.50 rupee Answer :A

Discussion

1138.	As per the question (no. 37) what is the speed of train in km/min?
Answer» 1.2 12 1200 120 Answer :A

Discussion

1139.	Simplify:- 25% of 48 + 50% of 120 = ?% of 1200
Answer» a. 4 b. 5 C. 6 d. 8 Answer :C

Discussion

1140.	A 2 digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. The sum of digits of the number is
Answer» 11 9 7 5 Answer :B

Discussion

1141.	Ifthe average of 7 consecutiveeven number is 44. Find the difference between first and last number
Answer» ANSWER :12

Discussion

1142.	The true discount on a certain sum of money due 16 yr hence is 300 and the simple interest on the same sum for the same time and at the same rate of interest is900, find the rate per cent.
Answer» ANSWER :`12.5%`

Discussion

1143.	A watch dealer pays 10% custom duty on a watch that costs Rs. 250 abroad. For how much should he mark it, if he desires to make a profit of 20% after giving a discount of 25% to the buyer?
Answer» RS. 400 Rs. 440 Rs.275 Rs.330 ANSWER :B

Discussion

1144.	How many words can be made from the word TING TING TRINGin which vowels occupy even positions?
Answer» 336000 85360 113600 none of these Answer :A

Discussion

1145.	(3 + 2i)^(3) = ?
Answer» 9-46i 9+46i -9+46i none of these Answer :C

Discussion

1146.	Akbar and Birbal who purchased the shares for the cost of their basic salaries which are in the ratio of 5 :6. later on company gave them 40 additional shares to each, due to which the ratio changed to 7 : 8. If the worth of each share is ₹ 75, what is the basic salary of the person who got less shares?
Answer» ₹ 10500 ₹ 7500 ₹ 8800 ₹ 9000 Answer :B

Discussion

1147.	What is the speed of train ? I Length of train is 120 m. II It crosses an another train of length 180 m, in 4 s .
Answer» the statement I ALONE is sufficient to answer the question but the statement II alone is not sufficient the statement II alone is sufficient to answer the question but the statement I alone is not sufficient both STATEMENTS I and II TOGETHER are needed to answer the question cannot get the answer from the statements I and II together and need even more data Answer :D

Discussion

1148.	threefaircoinsare tossedsimultaneously. Findthe propability of gettingmoreheads thanthe number of tails.
Answer» 2 `7//8` `5/8` `1/2` ANSWER :D

Discussion

1149.	A cylinder circumscribes a sphere . The ratio of their volumes is :
Answer» `1:2` `3:2` `4:3` `5:6` ANSWER :B

Discussion

1150.	The S = {(1,3,5,7,9,…..99)(102,104,106,…,200)} i.e., in the first part there are odd integers less than 100 and in the second part there are even integers greater than 100, but upto 200. The highest power of 5 that can exactly divide the product is :
Answer» 25 24 30 26 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

A sum borrowed under compound interest doubles itself in 10 years. When will it become fourfold itself at the same rate of interest?

Find the 15th term of the G.P -2,2,-2,….

The remainder when 1^3+2^3+3^3+…+999^3+1000^3 is divided by 13 is :

f(x) = 1 - h(x), g(x) = 1 - k(x), h(x) = f(x) + 1 f(x) = g(x) + 1, k(x) = j(x) + 1 (h(f(k(x)))+j(g(h(x)))+k(j(f(x))))/[f(x)+j(x)+k(x)][f(x).j(x)k(x)] is equal to :

A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. The number of days taken by B to finish the work is :

What is the least possible number which must besubstracted form 16, 19 and 23 so that the resulting numbers are in continued proportion?

The number of zeros at the end of ( 3^(123) -3^(122) - 3^(121) )(2^(122) - 2^(121) - 2^(120))

Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are written in random order. The probability that this seven digit number is divisible by 9 is :

Findthe numberof waysin which12 students may be equallydivided into threegroups .

No of factors of 240

Three partners started a business with 80000. At the end of the year, they receive 1800, 3000, 4800 as profit. Find the investment of the second person.

Find the number of co-prime numbers of 336.

In triangle ABC, angleAis equal to 120^@ . There is a point D inside the triangle such that angleDBC = 2 angleABD and angleDCB = 2angleACD. What is the measure of angleBDC?

A man can hit a target once in 4 shots. if he fires 4 shot in succession what is probability, atleast he will hit target once.

The product cos1^(@)cos2^(@)cos3^(@)cos4^(@)......cos100^(@). Is equal to

Find the values of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.

If (sinA-sinC)/(cosC-cosA)=cotB, then A, B, C are in

Solve the following expression : 9 3/5 + 5 3/9

If (cos^(2)theta)/(1-tantheta)+(sin^(3)theta)/(sintheta-costheta)=K+sinthetacostheta, then K = ?

A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives 25/2% of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?

A school hall has the dimensions 30 m , 12 m by 6m . Find the number of children who can be accommodated, if each child should get 8 m^(3) of space :

If (x-a) (x-b)=1 " & " a-b + 5= 0 find (x-a)^(3) - (1)/((x-a)^(3))= ?

(5sin^(2)30^(@)+cos^(2)45^(@)-4tan^(2)30^(@))/(2sin30^(@).cos30^(@)+tan45^(@))=?

A motor boat takes 12 hours to go downstreams and it takes 24 hours to returns the same distance.what is the time taken by boat in still water?

How many subsets containing at most n elements from the set of (2n+1) elements can be selected?

A alone can do a piece of work in 3 days, while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed225. Find the share of A.

The product of n positive numbers is unity. Then their sum is:

A man divided his property so that his son's share to his wife's and wife's share to his wife's and wife's share to his daughter's are both as in the ratio 3: 1. If the daughters get Rs 10,000 less than son, the value (in rupees) of the whole property is :

In the given diagram O is the centre of the circle and CD is a tangent. angleCAB and angleACD are supplementary to each other angleQAC=30^@. Find the value of angleOCB.

If 2 cos theta=x+(1)/(x), find the value of 2cos 3 theta

On selling 17 articles for Rs 720 a person incurred loss equal to cost price of 5 articles. Find the C.P. of each article ?

25% of a solution containing20% petrol, 50% diesel and30% kerosene was replaced with kerosene. Now, 2/3 of the solution obtained in the previous step was replaced with petrol. What is the percentage of diesel in this new solution ?

One cubic metre piece of copper is melted and recast into a square cross- section bar , 36 m long. An exact cube is cut off from this bar. If cubic metre of copper cost Rs. 108 , then the costof this cube is :

As per the question (no. 37) what is the speed of train in km/min?

Simplify:- 25% of 48 + 50% of 120 = ?% of 1200

A 2 digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. The sum of digits of the number is

Ifthe average of 7 consecutiveeven number is 44. Find the difference between first and last number

The true discount on a certain sum of money due 16 yr hence is 300 and the simple interest on the same sum for the same time and at the same rate of interest is900, find the rate per cent.

A watch dealer pays 10% custom duty on a watch that costs Rs. 250 abroad. For how much should he mark it, if he desires to make a profit of 20% after giving a discount of 25% to the buyer?

How many words can be made from the word TING TING TRINGin which vowels occupy even positions?

(3 + 2i)^(3) = ?

What is the speed of train ? I Length of train is 120 m. II It crosses an another train of length 180 m, in 4 s .

threefaircoinsare tossedsimultaneously. Findthe propability of gettingmoreheads thanthe number of tails.

A cylinder circumscribes a sphere . The ratio of their volumes is :

The S = {(1,3,5,7,9,…..99)(102,104,106,…,200)} i.e., in the first part there are odd integers less than 100 and in the second part there are even integers greater than 100, but upto 200. The highest power of 5 that can exactly divide the product is :