8677 + Interview Questions in Maths in Class 14 Page 81 InterviewSolution

4001.	Distance covered by a train is directly proportional to the time taken and also it varies directly as the square root of fuel used and varies inversely as the no. of wagons attached to it. A train coveres 192 km journey in 20 hours when there are 10 wagons attached to it and total fuel consumption was 256 litre of diesel. Find the consumption of fuel per km when a train goes 200 km in 25 hours with 15 wagons attached to it :
Answer» `1.5 l//km` `2 l//km` `2.8 l//km` `20 l//km` ANSWER :B

Discussion

4002.	A figure consistsof a squareof side 'a' m with semicircle drawn on the outside of the square. The area ( in m^2) of the figure so formed will be :
Answer» `a^2(pi+1)` `a^2(pi+1/4)` `a^2 + (pia^2)/2` NONE of these Answer :C

Discussion

4003.	Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriageRaju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is?
Answer» a. 40 b. 38 c. 42 d. 44 Answer :`11 " LT "`

Discussion

4004.	The total cost of 8 buckets and 5 mugs is Rs. 92 and the total cost of 5 buckets and 8 mugs is Rs. 77. Find the cost of 2 mugs and 3 buckets.
Answer» 35 70 30 38 Answer :A

Discussion

4005.	A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days they can complete the work, working together?
Answer» 6 4 5 10 Answer :B

Discussion

4006.	If A#B=A+B+AB. If for any A there is a number C such that A#C=A, then C=?
Answer» SOLUTION :A#C=A, we GET A+C+AC=A`RARR`C(1+A)=0 C=0 or A=-1

Discussion

4007.	A can do a piece of work in 4 hours. (B + C) can do the same work in 3 hours. (A + C) can do the same work in 2 hours. In how many hours will B do this work alone ?
Answer» ANSWER :12 HOURS

Discussion

4008.	A gym opens twice a day - morning and evening. But I don't work out twice a day. I attend it only 4 times a week. In how many ways can I attend the gym in a week?
Answer» 560 350 280 none of these Answer :A

Discussion

4009.	If a tan theta=b, then acos2theta+bsin2theta=?
Answer» a B `-a` `-b` ANSWER :A

Discussion

4010.	A dishonest dealer prefers to sell his goods at lost pnce but uses less weight for a kg weight and gains 4.(1)/(4)%.
Answer» 950gm 950gm 960gm 840gm Solution :`100 XX (1000)/(x) - 100 = (25)/(6) RARR x = 960gm`

Discussion

4011.	If the circumference of a circle is increased by 20% then the area will be increased by
Answer» 44 50 60 42 Answer :D

Discussion

4012.	A vendor buys oranges @ ₹ 2 for 3 oranges and sells them at a rupee each. To make a profit of ₹ 10, he must sell:
Answer» 10 oranges 20 oranges 30 oranges 40 oranges Answer :C

Discussion

4013.	A shopkeeper calculated his profit per cent on the selling price which comes out to be 30%. If it had been calculated as usual on the cost price, then what is the required percentage profit?
Answer» `42(6)/7%` `4(7)/27%` `7(6)/42%` none of these Answer :A

Discussion

4014.	Which one of the following polygon has as many diagonals as the number of sides in it?
Answer» 4 6 5 7 Answer :C

Discussion

4015.	If the curved surface area of a cylinder is 1320 cm^(2) and its base radius is 21 cm, then its total surface area is :
Answer» `4092 cm^2` `2409 cm^2` `4920 cm^2` NONE of these Answer :A

Discussion

4016.	Anne, Benne and Cenne are three friends. Anne and Benne are twins. Benne takes 2 days more than Cenne to complete the work. If Anne starts a work and 3 days later Benne joins him, then .the work gets completed in 3 more days. Working together Anne, Benne and Cenne can complete thrice the original work in 6 days. In how many days Benne can complete twice the original work with double the efficiency working alone?
Answer» 2 3 4 6 Answer :D

Discussion

4017.	Solve 3456 xx 89
Answer» SOLUTION :

Discussion

4018.	There are 5 letters and 5 addressed envelopes.The number of ways in which the letters can be placed in the envelopes so that none of them goes into the right envelope is
Answer» a. 44 B. 144 c. 48 d. 60 Answer :B

Discussion

4019.	ABCD is a trapezium in which AB\|\|CD and AB=2CD. If its diagonals intersect each other at O, then ratio of areas of trianlges AOB and COD is :
Answer» `1:4` `1:2` `4:1` `2:1` ANSWER :C

Discussion

4020.	ABCD is a rectangle and there are four equilateral triangles . Area of DeltaASD equals to area of DeltaBQCand area of DeltaDRC equals to area of DeltaAPB. The perimeter of the rectangle is 12 cm. Also the sum of the areas of the four triangles is10 sqrt(3) cm^(2) then the total area of the figures thus formed :
Answer» `2( 4+ 5sqrt(3)) CM^(2) ` `5(4+2sqrt(3)) cm^(2) ` `42 sqrt(3) ` none of these Answer :A

Discussion

4021.	Find the remainder when 7^7 is divided by 4.
Answer» SOLUTION :`7^7/4=7xx7xx7xx7xx7xx7xx7/4` =`3xx3xx3xx3xx3xx3xx3/4=9xx9xx9xx3/4` =`1xx1xx1xx3/4`=3/4 THUS the requried REMAINDER is 3.

Discussion

4022.	How many bullets can be made from a sphereof 8 cm radius . The radius of each bullet must be 0.2 cm.
Answer» Solution :Number of bullets = (VOLUME of sphere)/(volume of 1 BULLET) =`(4/3 PI xx8xx8xx8)/(4/3 pixx0.2xx0.2xx0.2) = 64000`

Discussion

4023.	If (x+1/x)=2 then (x^3+1/x^3) is equal to:
Answer» 2 4 5 6 Answer :A

Discussion

4024.	If a sequence is a given below: 1,1,2,3,5,8,13,21,34, .... In the above sequence the 55th term will be :
Answer» an EVEN number an ODD number either even or odd can't be determined Answer :B

Discussion

4025.	Solve the following problems independently of each other If a plane is divided into 22 distinct regions, find the minimum number of coplanar lines which divide this plane in such a way that neither two lines are parallel nor any three lines are concurrent.
Answer» 3 4 8 6 Answer :D

Discussion

4026.	How many planes can pass through any three arbitary points ?
Answer» 1 2 3 0 Answer :A

Discussion

4027.	The unit digit of (316^3)^(4n) + 1 is
Answer» 4 5 1 7 Answer :D

Discussion

4028.	A sum put out at 4% compound interest payable half yearly amounts to Rs. 6632.55 in 1(1)/(2)years. The sum is
Answer» ANSWER :RS. 6250

Discussion

4029.	What is the perentagincrease in percent rise in profit of Company M in the year 2009 from the previous year?
Answer» 25 15 50 Ib Answer :D

Discussion

4030.	If a_1 , a_2 , a_3, …."" a_n are in A.P. where a_i gt 0 for all i , then the value of(1)/(sqrt(a_1) + sqrt(a_2)) + (1)/(sqrt(a_2) + sqrt(a_3)) + … + (1)/(sqrt(a_(n-1)) + sqrt(a_n)) :
Answer» `(N-1)/(sqrta_1+sqrta_2)` `(n+1)/(sqrta_1+sqrta_2)` `n/(sqrta_1-sqrta_2)` none Answer :A

Discussion

4031.	If 100! divisible by 3^n then find the maximum value of n.
Answer» 4 9 16 10 Answer :B

Discussion

4032.	What term of the AP 2,5,8,…..is 62?
Answer» 20 19 21 15 Answer :C

Discussion

4033.	If A+B+C=180^(@), then tan^(2)""(A)/(2)+tan^(2)""(B)/(2)+tan^(2)""(C)/(2)=?
Answer» 1 0 2 0 Answer :A

Discussion

4034.	A trader has 50 kg of pulses, part of which he sells at 8% profit and rest at 18%profit. He gains 14% on the whole.What is the quantity soldat 18% profit?
Answer» 30 kg 35 kg 40 kg 60 kg Answer :A

Discussion

4035.	sqrt(12+sqrt(12+sqrt(12+….))) is equal to
Answer» ANSWER :4

Discussion

4036.	If A+B+C=pi, then cos2A+cos2B+cos2C=?
Answer» `1+4cosAcosBcosC` `-1+4sinAsinBsinC` `-1-4cosAcosBcosC` `1+4sinAsinBsinC` ANSWER :A

Discussion

4037.	Which one of the following is the greatest one?
Answer» `3^(3322)` `33^(322)` `333^(22)` `22^(333)` ANSWER :A

Discussion

4038.	Evaluate 123456 xx 789
Answer» SOLUTION :

Discussion

4039.	A regular dodecagon (a polygon with 12 sides) is inscribes in a circle. How many diagonals of this dodecagon would not pass through the centre of the circumscribing circle?
Answer» 24 36 42 none of these Answer :D

Discussion

4040.	An article is sold at a profit of 20%. If both the cost price and selling price are Rs 100 less, the profit would be 4% more. Find the cost price.
Answer» ANSWER :600 RS

Discussion

4041.	six digit number which is consisting of only one digits either 1,2,3,4,5,6,7,8 or 9, e.g. 111111, 222222.. etc. This number is always divisible by:
Answer» 7 11 13 all of these Answer :D

Discussion

4042.	If ((2^(n+4)-2.2^(n))/(2.2^(n+3))+ 2^(-3) )=x, then the value of x is
Answer» a. `-2^(N+1)+1/8` B. 1 c. `2^(n+1)` d. `n/8-2^(n)` ANSWER :B

Discussion

4043.	A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1 cm and base radius 1 mm. The value of n is
Answer» Solution :n = (VOLUME of cylinder)/(volume of one cone) =`(PI xx 3 xx 3 XX5)/(1/3 pi xx 1/(10) xx 1/(10) xx 1)`= 13500

Discussion

4044.	What percent is :875 m of 2 km?
Answer» A) 41% B) 43.75% C) 44.25% D) 45% SOLUTION :`43.75%`

Discussion

4045.	The probabilities of A, B and C solving a problem are 1/3, 2/7 and 3/8respectively. If all the thee try to solve theproblem simultaneously, find the probability that exactly one of them cansolve it.
Answer» `1/4` `1/2` `3/4` `7/12` ANSWER :C

Discussion

4046.	If DeltaABC and DeltaDEF are so related the (AB)/(FD)=(BC)/(DE)=(CA)/(EF), then which of the following is true?
Answer» `angleA=angleF and angleB=angleD` `angleC=angleL and angleA=angleD` `angleB=angleF and angleC=angleD` `angleA=angleE and angleB=angleD` ANSWER :A

Discussion

4047.	(x-a):(x-b):(x-c)=11 :9 : 5, where x=(a+b+c)/2. What is the ratio of a, b, c ?
Answer» `10:8:7` `3:5:9` `7:8:10` `6:5:3` ANSWER :C

Discussion

4048.	Solve the following expressions . (32)^(-1//5)
Answer» ANSWER :`1/2`

Discussion

4049.	If a regular hexagon is inscribed in a circle of radius r , then its perimeter is :
Answer» `6 sqrt3r` 6r 3r 12r Answer :B

Discussion

4050.	Find max^(m)&min^(m) value of 10+tan^(2)alpha.
Answer» ANSWER :10

Discussion

Explore topic-wise InterviewSolutions in .

A figure consistsof a squareof side 'a' m with semicircle drawn on the outside of the square. The area ( in m^2) of the figure so formed will be :

Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriageRaju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is?

The total cost of 8 buckets and 5 mugs is Rs. 92 and the total cost of 5 buckets and 8 mugs is Rs. 77. Find the cost of 2 mugs and 3 buckets.

A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days they can complete the work, working together?

If A#B=A+B+AB. If for any A there is a number C such that A#C=A, then C=?

A can do a piece of work in 4 hours. (B + C) can do the same work in 3 hours. (A + C) can do the same work in 2 hours. In how many hours will B do this work alone ?

A gym opens twice a day - morning and evening. But I don't work out twice a day. I attend it only 4 times a week. In how many ways can I attend the gym in a week?

If a tan theta=b, then acos2theta+bsin2theta=?

A dishonest dealer prefers to sell his goods at lost pnce but uses less weight for a kg weight and gains 4.(1)/(4)%.

If the circumference of a circle is increased by 20% then the area will be increased by

A vendor buys oranges @ ₹ 2 for 3 oranges and sells them at a rupee each. To make a profit of ₹ 10, he must sell:

A shopkeeper calculated his profit per cent on the selling price which comes out to be 30%. If it had been calculated as usual on the cost price, then what is the required percentage profit?

Which one of the following polygon has as many diagonals as the number of sides in it?

If the curved surface area of a cylinder is 1320 cm^(2) and its base radius is 21 cm, then its total surface area is :

Solve 3456 xx 89

There are 5 letters and 5 addressed envelopes.The number of ways in which the letters can be placed in the envelopes so that none of them goes into the right envelope is

ABCD is a trapezium in which AB||CD and AB=2CD. If its diagonals intersect each other at O, then ratio of areas of trianlges AOB and COD is :

Find the remainder when 7^7 is divided by 4.

How many bullets can be made from a sphereof 8 cm radius . The radius of each bullet must be 0.2 cm.

If (x+1/x)=2 then (x^3+1/x^3) is equal to:

If a sequence is a given below: 1,1,2,3,5,8,13,21,34, .... In the above sequence the 55th term will be :

Solve the following problems independently of each other If a plane is divided into 22 distinct regions, find the minimum number of coplanar lines which divide this plane in such a way that neither two lines are parallel nor any three lines are concurrent.

How many planes can pass through any three arbitary points ?

The unit digit of (316^3)^(4n) + 1 is

A sum put out at 4% compound interest payable half yearly amounts to Rs. 6632.55 in 1(1)/(2)years. The sum is

What is the perentagincrease in percent rise in profit of Company M in the year 2009 from the previous year?

If a_1 , a_2 , a_3, …."" a_n are in A.P. where a_i gt 0 for all i , then the value of(1)/(sqrt(a_1) + sqrt(a_2)) + (1)/(sqrt(a_2) + sqrt(a_3)) + … + (1)/(sqrt(a_(n-1)) + sqrt(a_n)) :

If 100! divisible by 3^n then find the maximum value of n.

What term of the AP 2,5,8,…..is 62?

If A+B+C=180^(@), then tan^(2)""(A)/(2)+tan^(2)""(B)/(2)+tan^(2)""(C)/(2)=?

A trader has 50 kg of pulses, part of which he sells at 8% profit and rest at 18%profit. He gains 14% on the whole.What is the quantity soldat 18% profit?

sqrt(12+sqrt(12+sqrt(12+….))) is equal to

If A+B+C=pi, then cos2A+cos2B+cos2C=?

Which one of the following is the greatest one?

Evaluate 123456 xx 789

A regular dodecagon (a polygon with 12 sides) is inscribes in a circle. How many diagonals of this dodecagon would not pass through the centre of the circumscribing circle?

An article is sold at a profit of 20%. If both the cost price and selling price are Rs 100 less, the profit would be 4% more. Find the cost price.

six digit number which is consisting of only one digits either 1,2,3,4,5,6,7,8 or 9, e.g. 111111, 222222.. etc. This number is always divisible by:

If ((2^(n+4)-2.2^(n))/(2.2^(n+3))+ 2^(-3) )=x, then the value of x is

A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1 cm and base radius 1 mm. The value of n is

What percent is :875 m of 2 km?

The probabilities of A, B and C solving a problem are 1/3, 2/7 and 3/8respectively. If all the thee try to solve theproblem simultaneously, find the probability that exactly one of them cansolve it.

If DeltaABC and DeltaDEF are so related the (AB)/(FD)=(BC)/(DE)=(CA)/(EF), then which of the following is true?

(x-a):(x-b):(x-c)=11 :9 : 5, where x=(a+b+c)/2. What is the ratio of a, b, c ?

Solve the following expressions . (32)^(-1//5)

If a regular hexagon is inscribed in a circle of radius r , then its perimeter is :

Find max^(m)&min^(m) value of 10+tan^(2)alpha.