8677 + Interview Questions in Maths in Class 14 Page 1 InterviewSolution

1.	Three years ago, the average age of Anita, Priya, and Varsha was 27 years. If five years ago, the average age of Priya and Varsha was 20 years, find the present age of Anita.
Answer» 25 60 40 30 Answer :D

Discussion

2.	In the evergreen movie Sholay, the villain of the movie was
Answer» Only (III) Only (IV) All, EXCEPT (iii) Only (i) and (II) ANSWER :A

Discussion

3.	If x=cot75^(@), then find the value of sqrt(x)+(1)/(sqrt(x)).
Answer» `SQRT(6)` `sqrt(7)` `sqrt(5)` `sqrt(3)` Answer :A

Discussion

4.	p @ q = p^2 - 20 if p > q , p < q = p^2 + 20 if p le q, then for a = 5 and b = 4 the value of [(a @ b) @ (a @ b)] - [(b @ a) @ (b @ a)] is :
Answer» a. `416` B. `-461` c. `-1271` d. None of these ANSWER :C

Discussion

5.	If a,b,c belong to R,ane0, and the quadratic equation ax^2+bx+c=0 has no real roots. Then , which one of the following is correct?
Answer» `(a+b+c)AGT0` `(a+b+c)clt0` `(a+b+c)c=0` `(a+b+c)cle0` ANSWER :A

Discussion

6.	A,B and C enter into a partnership.A invests some amount at the beginning , B invests doublethe amount of A after 6 months and C invests thrice the amount of A after 8 months. If the annualprofit be X 54000, find the Cs share
Answer» X 3000 X 18000 X 15000 X 21000 Answer :B

Discussion

7.	P, Q and R are employed to do a job in 15 days for a total remuneratuion of rs. 12,000. P alone can do the work in 40 days and Q alone in 60days. If all of them work together and complete the work on time what is R's share?
Answer» a. 4000 b. 4500 c. 5000 d. 5250 Answer :D

Discussion

8.	A tap can fill a tank in 16 hhours whereas another tap can empty the tank it in 8 hours. If in a three fourth filled tank both the taps are opened, then how long will it take to empty the tank in this scenario?
Answer» 6 hours 8 hours 10 hours 12 hours Solution :LET the capacity of the tank be C Speed of inlet tap `= C//16` Speed of outlet tap `= C//8` DIFFERENCE in speed ` =C/8 - C/16 = C/16 ` hours Time to EMPTY `3//4^(th)` of the tank ` = (3c//4)// C//16` `=3C//4 xx 16//C=12` hours

Discussion

9.	Are the points (1, 7), (4, 2), (-1, -1) and (-4, 4) vertices of a square ? If yes, what is the length of the side of square ?
Answer» `34` `sqrt34` `-34` `68` ANSWER :B

Discussion

10.	Find the next term in the series 15,14,19,11,23,8,"………….".
Answer» ANSWER :27

Discussion

11.	If a 250m long train crosses a platform of the same length as that of the train in 25 seconds the the speed of the train is:
Answer» 150 m/s 200 m/s 20 km/h 72 km/h Answer :D

Discussion

12.	Find (a-b)^(3) + (b-c)^(3) + (c-a)^(3)= ?
Answer» ANSWER :`3(a-b) (b-c) (c-a)`

Discussion

13.	20 men complete one-third of a work in 20 days. How may more men should be employed to finish the rest of th ework in 25 more days ?
Answer» 10 12 15 20 Answer :B

Discussion

14.	The remainder when('(2)^(54)' -1) is divided by 9 is :
Answer» A)0 B)8 C)7 D)NONE of these Answer :A

Discussion

15.	Find the value of :10% of 1 hour
Answer» A) 2 minutes B) 4 minutes C) 6 minutes D) 8 minutes Solution :6MINUTES

Discussion

16.	If n distinct things are arranged in a circle, find the number of ways of selecting three of these things so that no two of them are next to each other.
Answer» N(n-2)(n-3) 1/6n(n-4)(n-5) `1/3 (n^2+3n-5)` NONE of these Answer :B

Discussion

17.	Eleven years earlier the average age of a family of 4 members was 28 years. Now the age of the same family with six members is yet the same, even when 2 children were born in this period. If they belong to the same parents and the age of the first child at the time of the birth of the younger child was same as there were total family members just after the birth of the youngest members of this family, then the present age of the youngest member of the family is :
Answer» 3 years 5 years 6 years none of these Answer :A

Discussion

18.	If x+ (1)/(x)= -1 findx^(27) + (1)/(x^(27)) = ?
Answer» ANSWER :2

Discussion

19.	If sintheta+sin^(2)theta+sin^(3)theta=1, then find the value of cos^(6)theta-4cos^(4)theta+8cos^(2)theta.
Answer» 0 3 1 4 Answer :D

Discussion

20.	Pawan can row 24 km/h in still water . When the river is running at 4.8 km/h,it takes him 1h to row to a place and to come back. How far is the place?
Answer» 11.52 KM 14 km 12.52 km 15 km Answer :A

Discussion

21.	The sum of 4+16-5+12 is.
Answer» 27 26 29 none of these Answer :A

Discussion

22.	If 5 and-6are the roots of the quadratic equation, then what will be the factors of the quadratic equation?
Answer» `(x-5)` and `(x-6)` `(x-5)` and `(x+6)` `(x+5)` and `(x-6)` `(x+5)` and `(x+6)` ANSWER :D

Discussion

23.	If theta and phi are acute angle. If costheta=(3)/(5) and cosphi=(4)/(5) then cos(2theta+3phi)=?
Answer» `(4)/(5)` `-(4)/(5)` `(3)/(5)` `-(3)/(5)` ANSWER :B

Discussion

24.	(23.1)^(2)+(48.6)^(2)-(39.8)^(2)=? + 1147.69
Answer» `(13.6)^(2)` `SQRT(12.8)` 163.84 12.8 Solution :`?+1147.69=(23.1)^(2)+(48.6)^(2)-(39.8)^(2)` `:. ?=533.61+2361.96-1584.04-1147.69=163.84`

Discussion

25.	A fruit vendor purchased 90 dozens of bananas at Rs. 20 per dozen. Out of this, 18 dozens gotrotten and he sold them at Rs 16 per dozen. Remaining bananas were sold by him at Rs. 24 perdozen. What profit did the make in this transaction?
Answer» `12%` `15%` `20%` `28%` ANSWER :A

Discussion

26.	A sum of money in 3 years become 1344 and in 7 years it become Rs 1536 . What is the principal sum where simple. rate of interest is to be charged ?
Answer» 4000 1500 1200 2800 Answer :A::B

Discussion

27.	The year, in which the percentage increase in export was maximum from its preceding year, is
Answer» 2009 2007 2008 None of the above Answer :B

Discussion

28.	A can do a piece of work in 8 days, B can do it in 16 days, while C can do it in 80 days. In how many days they can complete the whole work, working together?
Answer» 5 6 `8!` 201 Answer :A

Discussion

29.	Find the number of combinations that can be formed with 5 oranges, 4 mangoes and 3 bananas, when one fruit of each kind is taken.
Answer» 60 120 110 75 Answer :A

Discussion

30.	If a + b + c = 11, a^2 + b^2 + c^2 = 51, what is the value of ab + bc + ac ?
Answer» 24 28 32 35 Answer :D

Discussion

31.	A man Deposit a sum of money in starting of every year till 4 years. After four years Rs. 10800 were deposited in his account . Find the sum of money deposite by the man every year if the rate of interest is 5%.
Answer» ANSWER :RS 2400

Discussion

32.	A milkman mixes 10% water in pure milk but he is not content with it so, he again mixes 10% more water in the previous mixture. What is the profit percentage of milkman if he sells it at cost price:
Answer» `11.11%` `20%` `21%` `12.1%` ANSWER :C

Discussion

33.	sin12^(@)sin24^(@)sin48^(@)sin84^(@)=?
Answer» `cos20^(@)cos40^(@)COS60^(@)cos80^(@)` `sin20^(@)sin40^(@)sin60^(@)SIN80^(@)` `(3)/(16)` `(1)/(16)` ANSWER :A

Discussion

34.	The perimeter of a non-square rhombus is 20 cm. One of its diagonal is 8 cm. The area of the rhombus is
Answer» `R GT s gt H` `s gt h gt r` `h gt s gt r` DATA insufficient Answer :C

Discussion

35.	The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes a round in 8 minutes, then the area of the park is
Answer» `15.360m^(2)` `1,53,600m^(2)` `1,53,060 m^(2)` `15,306m^(2)` ANSWER :B

Discussion

36.	There is a 20 litre mixture of water and spirit. It consists of 25% spirit. Another mixture of 30 litre consists water and spirit in the ratio 3 : 7. If both are poured into single vessel. Find the final ratio of sprit in the new mixture.
Answer» ANSWER :0.28

Discussion

37.	The present worth of bill due 7 months, hence is Rs. 1200. if the bill were due at the end of 2.5 years, its present worth would be Rs1016. Find the rate of interest of the bill.
Answer» 8% 9% 10% 11% ANSWER :0.1

Discussion

38.	The ratio of A:B=1:3,B:C=2:5,C:D=2:3. Find the value ofA:B:C:D
Answer» SOLUTION :A:B=1:3 B:C=2:5 C:D=2:3 A:B:C:D=(1xx2xx2):(3xx2xx2):(3xx5xx2):(3xx5xx3) A:B:C:D=4:12:30:45

Discussion

39.	Find the ratio of 50 to 80.
Answer»

Discussion

40.	For a journey the cost of a child ticket is 1/3 rd of the cost of an adult ticket. If the cost of the tickets for 4 adults and 5 children is Rs. 85, the cost of a child ticket is :
Answer» RS. 5 Rs. 6 Rs. 10 Rs. 15 Answer :A

Discussion

41.	Find the ratio of circumcantreto insadius if the ratioof sides is 4 : 5 : 7
Answer» ANSWER :`(35)/(12)`

Discussion

42.	The square root of 32 137/484 is :
Answer» `5 15/22` `15 5/32` `5 15/28` NONE of the above ANSWER :A

Discussion

43.	A boys was asked to find the value of (3)/(8) of a sum of money.Instead of multiplying the sum by (3)/(8) he divided it by (3)/(8) and then his answer exceeded by Rs.55. Find the correct answer?
Answer» RS. 9 Rs. 24 Rs. 64 Rs. 1,320 Answer :B

Discussion

44.	Which one of the following numbers belong to the given series 18,26, 34,42, 50 ?
Answer» 68 58 74 132 Answer :B

Discussion

45.	Two trains are moving in the opposite directions at speeds of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metre) of the slower train?
Answer» 235 338.4 470 940 Answer :A

Discussion

46.	The volume a pyramid of base area 25 cm^(2) and height 12 cm is :
Answer» `200 cm^3` `100 cm^3` `400 cm^3` `800 cm^3` Answer :B

Discussion

47.	If p^(2) + q ^(2) = 7 pq, then the value of (p)/(q) + (q)/(p) is equal to
Answer» 0 `2(p^2+q^2)` `2(p^2-q^2)` NONE of these Answer :C

Discussion

48.	For a cubic poltnomial a_3x^3+a_2x^2+a_1x+a_0 the roots r_1,r_2,r_3 come in three symmetric combinations: C_1=r_1+r_2+r_3,C_2=r_1r_2+r_2r_3+r_3r_1,C_3=r_1r_2r_3 The sum of the k^(th) powers of the roots is defined as S_k=r_1^k+r_2^k+r_3^k Then a_3S_1+a_2=0 a_3S_2+a_2S_1+2a_1=0
Answer» only (i) is true only (II) is true both are true none are true Answer :C

Discussion

49.	If a fraction is divided by its reciprocal and then mltiplied by itself then the fraction becomes (512)/125. The difference between the actual fraction and its reciprocal fraction is :
Answer» `29/30` `39/40` DATA insufficient none of these Answer :B

Discussion

50.	If x=acos^(3)theta,y=bsin^(3)theta then ((x)/(a))^((2)/(3))+((y)/(b))^((2)/(3))=?
Answer» 1 0 2 4 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

Three years ago, the average age of Anita, Priya, and Varsha was 27 years. If five years ago, the average age of Priya and Varsha was 20 years, find the present age of Anita.

In the evergreen movie Sholay, the villain of the movie was

If x=cot75^(@), then find the value of sqrt(x)+(1)/(sqrt(x)).

p @ q = p^2 - 20 if p > q , p < q = p^2 + 20 if p le q, then for a = 5 and b = 4 the value of [(a @ b) @ (a @ b)] - [(b @ a) @ (b @ a)] is :

If a,b,c belong to R,ane0, and the quadratic equation ax^2+bx+c=0 has no real roots. Then , which one of the following is correct?

A,B and C enter into a partnership.A invests some amount at the beginning , B invests doublethe amount of A after 6 months and C invests thrice the amount of A after 8 months. If the annualprofit be X 54000, find the Cs share

P, Q and R are employed to do a job in 15 days for a total remuneratuion of rs. 12,000. P alone can do the work in 40 days and Q alone in 60days. If all of them work together and complete the work on time what is R's share?

A tap can fill a tank in 16 hhours whereas another tap can empty the tank it in 8 hours. If in a three fourth filled tank both the taps are opened, then how long will it take to empty the tank in this scenario?

Are the points (1, 7), (4, 2), (-1, -1) and (-4, 4) vertices of a square ? If yes, what is the length of the side of square ?

Find the next term in the series 15,14,19,11,23,8,"………….".

If a 250m long train crosses a platform of the same length as that of the train in 25 seconds the the speed of the train is:

Find (a-b)^(3) + (b-c)^(3) + (c-a)^(3)= ?

20 men complete one-third of a work in 20 days. How may more men should be employed to finish the rest of th ework in 25 more days ?

The remainder when('(2)^(54)' -1) is divided by 9 is :

Find the value of :10% of 1 hour

If n distinct things are arranged in a circle, find the number of ways of selecting three of these things so that no two of them are next to each other.

If x+ (1)/(x)= -1 findx^(27) + (1)/(x^(27)) = ?

If sintheta+sin^(2)theta+sin^(3)theta=1, then find the value of cos^(6)theta-4cos^(4)theta+8cos^(2)theta.

Pawan can row 24 km/h in still water . When the river is running at 4.8 km/h,it takes him 1h to row to a place and to come back. How far is the place?

The sum of 4+16-5+12 is.

If 5 and-6are the roots of the quadratic equation, then what will be the factors of the quadratic equation?

If theta and phi are acute angle. If costheta=(3)/(5) and cosphi=(4)/(5) then cos(2theta+3phi)=?

(23.1)^(2)+(48.6)^(2)-(39.8)^(2)=? + 1147.69

A fruit vendor purchased 90 dozens of bananas at Rs. 20 per dozen. Out of this, 18 dozens gotrotten and he sold them at Rs 16 per dozen. Remaining bananas were sold by him at Rs. 24 perdozen. What profit did the make in this transaction?

A sum of money in 3 years become 1344 and in 7 years it become Rs 1536 . What is the principal sum where simple. rate of interest is to be charged ?

The year, in which the percentage increase in export was maximum from its preceding year, is

A can do a piece of work in 8 days, B can do it in 16 days, while C can do it in 80 days. In how many days they can complete the whole work, working together?

Find the number of combinations that can be formed with 5 oranges, 4 mangoes and 3 bananas, when one fruit of each kind is taken.

If a + b + c = 11, a^2 + b^2 + c^2 = 51, what is the value of ab + bc + ac ?

A man Deposit a sum of money in starting of every year till 4 years. After four years Rs. 10800 were deposited in his account . Find the sum of money deposite by the man every year if the rate of interest is 5%.

A milkman mixes 10% water in pure milk but he is not content with it so, he again mixes 10% more water in the previous mixture. What is the profit percentage of milkman if he sells it at cost price:

sin12^(@)sin24^(@)sin48^(@)sin84^(@)=?

The perimeter of a non-square rhombus is 20 cm. One of its diagonal is 8 cm. The area of the rhombus is

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes a round in 8 minutes, then the area of the park is

There is a 20 litre mixture of water and spirit. It consists of 25% spirit. Another mixture of 30 litre consists water and spirit in the ratio 3 : 7. If both are poured into single vessel. Find the final ratio of sprit in the new mixture.

The present worth of bill due 7 months, hence is Rs. 1200. if the bill were due at the end of 2.5 years, its present worth would be Rs1016. Find the rate of interest of the bill.

The ratio of A:B=1:3,B:C=2:5,C:D=2:3. Find the value ofA:B:C:D

Find the ratio of 50 to 80.

For a journey the cost of a child ticket is 1/3 rd of the cost of an adult ticket. If the cost of the tickets for 4 adults and 5 children is Rs. 85, the cost of a child ticket is :

Find the ratio of circumcantreto insadius if the ratioof sides is 4 : 5 : 7

The square root of 32 137/484 is :

A boys was asked to find the value of (3)/(8) of a sum of money.Instead of multiplying the sum by (3)/(8) he divided it by (3)/(8) and then his answer exceeded by Rs.55. Find the correct answer?

Which one of the following numbers belong to the given series 18,26, 34,42, 50 ?

Two trains are moving in the opposite directions at speeds of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metre) of the slower train?

The volume a pyramid of base area 25 cm^(2) and height 12 cm is :

If p^(2) + q ^(2) = 7 pq, then the value of (p)/(q) + (q)/(p) is equal to

For a cubic poltnomial a_3x^3+a_2x^2+a_1x+a_0 the roots r_1,r_2,r_3 come in three symmetric combinations: C_1=r_1+r_2+r_3,C_2=r_1r_2+r_2r_3+r_3r_1,C_3=r_1r_2r_3 The sum of the k^(th) powers of the roots is defined as S_k=r_1^k+r_2^k+r_3^k Then a_3S_1+a_2=0 a_3S_2+a_2S_1+2a_1=0

If a fraction is divided by its reciprocal and then mltiplied by itself then the fraction becomes (512)/125. The difference between the actual fraction and its reciprocal fraction is :

If x=acos^(3)theta,y=bsin^(3)theta then ((x)/(a))^((2)/(3))+((y)/(b))^((2)/(3))=?