8677 + Interview Questions in Maths in Class 14 Page 111 InterviewSolution

5501.	The volume of a cylinder is 48.125 cm^3, which is formed by rolling a rectangular paper sheet along the length of the paper. If a cuboidal box without any lid i.e., open at the top is made from the same sheet of paper by cutting out the square of side 0.5 cm from each of the four corners of the paper sheet, then what is the volume of this box?
Answer» `20 cm^3` `38 cm^3` `19 cm^3` NONE of these Answer :A

Discussion

5502.	Average of 6 consecutiveodd number is 40. Find the largest number.
Answer» ANSWER :45

Discussion

5503.	(137 + 17xx3.99)/(4.02xx3.98)= ?
Answer» a. 13.2 b. 12.5 c. 2.5 d. 2 Answer :D

Discussion

5504.	In the quadratic equation3x^2+5x-2=0 then sum of roots is
Answer» `5/3` `-5/3` `2/3` `-2/3` ANSWER :D

Discussion

5505.	Find the sum of the three numbersin G.P. whose productsis 216 and the sum of the products if taken in pairs is 156 :
Answer» A. 28 B. 21 C. `35//4` D. NONE of these Answer :B

Discussion

5506.	If Aand B are two events such that P(A) = 0.4, P(B) = 0.8and P(B/A)=0.6, find P(A uu B):
Answer» `0.24` `0.96` `0.04` NONE of these Answer :B

Discussion

5507.	The sum of two natural numbers is 64. Which of the following can not be the ratio of these two numbers.
Answer» 3:5 1:3 7:9 3:4 Answer :D

Discussion

5508.	Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...
Answer» `N(8n^3+11n^2-n+3)` `n(2n^3+8n^2+7n-2)` `8n^3+12n^2-2n-3` none Answer :B

Discussion

5509.	Two circles of radii 13 cm and 5 cm touch internally each other. Find the distance between their centres:
Answer» 18 cm 12 cm 9 cm 8 cm Answer :D

Discussion

5510.	If m men can do a work in r days, then the number of days taken by (m+n) men to do it is :
Answer» `(m+n)/(MN)` `(m+n)/(MR)` `(mr)/(m+n)` `((m+n)R)/(mn)` ANSWER :C

Discussion

5511.	A car agency has 108 cars. He sold some cars at 9% profit and rest at 36% profit. Thus he gains 17% on the sale of all his cars. The no. of cars sold at 36% profit is:
Answer» 25 32 35 75 Answer :B

Discussion

5512.	The set {x:(x-3)(x-5)gt0} is equal to :
Answer» `{x: 3 LT x lt 5}` `{x: x lt 3)uu{x:x lt 5}` `{x:xlt 3} uu {x: x GT 5}` NONE of these Answer :c

Discussion

5513.	A shopkeeper buys a number of books for Rs 80. If the had bought 4 more books for the same amount, each book would have cost Rs 1 less. How many books did he buy?
Answer» 8 16 24 28 Answer :B

Discussion

5514.	A father picks his child at 3:30 pm from school. One day the child left at 2:30 pm and started to walk at the speed of 6 km/h and meets his father on the way and they each home 24 minutes early. Find the speed of father.
Answer» ANSWER :24 km/h

Discussion

5515.	Profit on selling 10 candle equals selling price of 3 bulbs. While loss on selling 10 bulbs equals selling price of 4 candles. Also profit percentage equals to the loss percentage and cost of a candle is half of the cost of a bulb. What is the ratio of selling price of candle to the selling price of a bulb ?
Answer» `5:4` `3:2` `4:5` `3:4` ANSWER :B

Discussion

5516.	If A has 4 elements and B has 7 elements, then the minimum number of elements inA∪B is :
Answer» 4 7 6 5 Answer :A

Discussion

5517.	Two pipes A and B can fill a tank in 24 hours and (120)/7 hours respectively. Harihar opened the pipes A and B to fill an empty tank and some times later he closed the taps A and B, when the tank was supposed to be full. After that it was found that the tank was emptied in 2.5 hours because an outlet pipe C connected to the tank was open from the beginning. If Harihar closed the pipe C instead of closing pipes A and B the remaining tank would have been filled in:
Answer» 2 hours 8 hours 6 hours 4 hours Answer :B

Discussion

5518.	Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/8=3/2
Answer» `(3)/(2)` `(-2)/(3)` 1 `-1` ANSWER :B::C

Discussion

5519.	The odd positive intergers are arranged in a triangle as follows: Find the sum of the numbers in the nth row of this arrangement:
Answer» `n^2+n` `2n^2-2+n` `n^3` none Answer :C

Discussion

5520.	Two trains of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 s. The length of each train is
Answer» 82m 50m 80m 72m Answer :B

Discussion

5521.	If perimeter of rectangle & Parallelogram is equal with same base. Find the ratio of area of rectangle and area of parallelogram.
Answer» `=1` `GT1` `lt1` NONE of these Answer :B

Discussion

5522.	In a Delta ABC, angle A=65^(@), angle C=75^(@), where O is circumcentre , find angle OAC.
Answer» ANSWER :`R = (ABC)/( 4 DELTA)`

Discussion

5523.	If n_1, n_2, n_3, ....., n_k in I such that -5 le n_k le 25, then the least possible product of any 3 numbers can be :
Answer» -60 0 -3000 none of these Answer :C

Discussion

5524.	The sum of the radii of the two circle is 140 cm and the difference between theircircumferenceis 88 cm. The radius of the larger circle is :
Answer» 60 cm 70 cm 63 cm 77 cm Answer :D

Discussion

5525.	Let ABC be an acute angled triangle and CD be the altitude through C. If AB = 8 cm and CD = 6 cm, then the distance between the midpoints AD and BC is :
Answer» ANSWER :PQ = 5 CM

Discussion

5526.	26.003 - 15.4001 + 6.995 = ?
Answer» a. 4 b. 18 c. 9 d. 10 Answer :A

Discussion

5527.	The ratio of the cost price to the profit for commodity is 7 : 4. If the cost price is 35 find the profit earned.
Answer» ANSWER :0.2

Discussion

5528.	There are two chords AB and CD of length 10 cm and 24 cm vespectivelybothchords are opposed to centre If the distance between chords is 17 cm find radius
Answer» ANSWER :13 CM

Discussion

5529.	Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
Answer» A) 10110 B) 10500 C) 12000 D) 13000 Answer :RS 6400

Discussion

5530.	A tank is connected with four pipes A, B, C and D of which two are filling the tank and other two are emptying it. The time taken by A, B, C and D to finish their jobs are 10 hours, 15 hours, 20 hours and 30 hours respectively. All four pipes are opened. When the tank was empty, it took 12 hours to fill it completely. Which two are the outlet pipes?
Answer» A and B C and D A and C B and D Answer :B

Discussion

5531.	The sum of money that yields a compound interest of Rs. 420 during the second year at 5% per annum is
Answer» ANSWER :RS. 8000

Discussion

5532.	If 20 articles cost ₹180, the cost of 15 articles is:
Answer» ₹180 ₹ 136 ₹ 135 ₹ 40.5 Answer :C

Discussion

5533.	Distance between A & B is 550 km. Both start walking towards each other with the speed of 60 km/h and 50 km/h respectively. Find the time taken by them to meet each other.
Answer» ANSWER : 5 HRS.

Discussion

5534.	Mutiply 431 by 439.
Answer» Solution :STEP 1: `1 XX 9 = 09` Steps`43 xx (43 + 1) = 1892` `431 xx 439 = 189209`

Discussion

5535.	A cone whose height is 15 cm and radius of base is 6 cm is trimmed suficiently to reduce it to a pyramid whose base is an quilateral triangle . The volume of the portion removed is :
Answer» `330 CM^3` `328 cm^(3) ` `325 cm^(3) ` `331 cm^(3)` Answer :D

Discussion

5536.	The lengths of two parallel sides of a trapezium are 12 cm and 16 cm. If the height of the trapezium be 8 cm, then its area is
Answer» 189 SQ. cm 146 sq. cm 112 sq. cm 120 sq. cm Answer :B

Discussion

5537.	Solve the following expressions. (32)^(-1/5)
Answer» SOLUTION :`(2^5)^(-1/5) = 2^(5 XX -1/5) = 2^-1 = 1/2 `

Discussion

5538.	Find the distance between the points (-5, 3) and (3, 1) :
Answer» `2 SQRT 7` `3 sqrt (14)` `5 sqrt (17)` `2 sqrt (17)` Answer :D

Discussion

5539.	There are officer and Assistant in an office. If 15 Assistant went on leave then every Assistant has two officers, after that 45 officers went on leave now every officer has 5 Assistants. Then find out how many Assistant were there initially.
Answer» 30 40 25 35 Answer :B

Discussion

5540.	A hollow cylindrical tube open at both ends is made of iron 2 cm thick. If the external diameter be 50 cmand the length of the tube is 210 cm, find the volume
Answer» a.63360 b.500000 c.379500 d. none Answer :`=63360 CM^(3)`

Discussion

5541.	A took 15 s to cross a rectangular field diagonally walking at the rate of 52m//minand B took the same time to cross the same field along its sides walking at the rate of 68 m//min. Find the area of the field.
Answer» `45 SQ m` `25 sq m` `51 sq m` `60sq m` ANSWER :D

Discussion

5542.	The value of ((e^x + e^(-x))/(2))^(2) - ((e^x - e^(-x))/(2))^(2) is :
Answer» 0 1 4 16 Answer :B

Discussion

5543.	The marks obtained by E in Geography are what per cent of the marks obtained by E in Hindi?
Answer» `45 %` ` 55 %` ` 59 %` ` 60 %` Answer :C

Discussion

5544.	If a fraction is multiple by itself and then divided by the reciprocal of the same fraction, the result is 18 ( 26)/( 27) . Find the fraction.
Answer» ` ( 8 )/( 27)` `1(1)/( 3)` `2( 2)/( 3)` `3( 2)/( 3)` ANSWER :C

Discussion

5545.	Which one of the following numbers belongs to the given series 18, 26, 34, 42, 50?
Answer» 438 338 232 132 Answer :B

Discussion

5546.	Findirrational number between a and b .
Answer» ANSWER :`=SQRT(AB), =ROOT(N)(ab)`.

Discussion

5547.	In the given figure AB\|\|CD\|\|EF and GH\|\|KL Find m angle HKL.
Answer» `85^(@)` `145^(@)` `120^(@)` `95^(@)` ANSWER :B

Discussion

5548.	I.2x^(2) + 9x + 7 = 0""II. Y^(2) + 4y+4 = 0
Answer» if`x gt y` if`x GE y` if `x LT y` if x = y or no relationchip can be established. Solution :I. ` 2X^(2) + 9x + 7 = 0` ` 2x^(2) + 7x + 2x + 7 - 0` ` x(2x+7)+1(2x + 7) = 0` ` (x+1) (2x + 7) = 0` ` x = - 1, - 7/ 2` II. ` y^(2)+ 4y + 4 = 0` ` y^(2) + 2y + 2y + 4 = 0` ` y (y+2) +2(y+2) = 0` ` (y + 2) (y+2) = 0` ` y =- 2, -2` ` :. ` Norelation.

Discussion

5549.	Income of a man is increased by Rs 1800 and payable tax is decreased from 18%t o15%.In both cases 29.95 income tax is free. Find initial income.
Answer» ANSWER :Rs.9000

Discussion

5550.	log_3 2 ,log_3(2^x-5) , log_3(2^x-7/2) are in A.P. then the value of x =?
Answer» 2 3 4 5 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Average of 6 consecutiveodd number is 40. Find the largest number.

(137 + 17xx3.99)/(4.02xx3.98)= ?

In the quadratic equation3x^2+5x-2=0 then sum of roots is

Find the sum of the three numbersin G.P. whose productsis 216 and the sum of the products if taken in pairs is 156 :

If Aand B are two events such that P(A) = 0.4, P(B) = 0.8and P(B/A)=0.6, find P(A uu B):

The sum of two natural numbers is 64. Which of the following can not be the ratio of these two numbers.

Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

Two circles of radii 13 cm and 5 cm touch internally each other. Find the distance between their centres:

If m men can do a work in r days, then the number of days taken by (m+n) men to do it is :

A car agency has 108 cars. He sold some cars at 9% profit and rest at 36% profit. Thus he gains 17% on the sale of all his cars. The no. of cars sold at 36% profit is:

The set {x:(x-3)(x-5)gt0} is equal to :

A shopkeeper buys a number of books for Rs 80. If the had bought 4 more books for the same amount, each book would have cost Rs 1 less. How many books did he buy?

A father picks his child at 3:30 pm from school. One day the child left at 2:30 pm and started to walk at the speed of 6 km/h and meets his father on the way and they each home 24 minutes early. Find the speed of father.

If A has 4 elements and B has 7 elements, then the minimum number of elements inA∪B is :

Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/8=3/2

The odd positive intergers are arranged in a triangle as follows: Find the sum of the numbers in the nth row of this arrangement:

Two trains of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 s. The length of each train is

If perimeter of rectangle & Parallelogram is equal with same base. Find the ratio of area of rectangle and area of parallelogram.

In a Delta ABC, angle A=65^(@), angle C=75^(@), where O is circumcentre , find angle OAC.

If n_1, n_2, n_3, ....., n_k in I such that -5 le n_k le 25, then the least possible product of any 3 numbers can be :

The sum of the radii of the two circle is 140 cm and the difference between theircircumferenceis 88 cm. The radius of the larger circle is :

Let ABC be an acute angled triangle and CD be the altitude through C. If AB = 8 cm and CD = 6 cm, then the distance between the midpoints AD and BC is :

26.003 - 15.4001 + 6.995 = ?

The ratio of the cost price to the profit for commodity is 7 : 4. If the cost price is 35 find the profit earned.

There are two chords AB and CD of length 10 cm and 24 cm vespectivelybothchords are opposed to centre If the distance between chords is 17 cm find radius

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

The sum of money that yields a compound interest of Rs. 420 during the second year at 5% per annum is

If 20 articles cost ₹180, the cost of 15 articles is:

Distance between A & B is 550 km. Both start walking towards each other with the speed of 60 km/h and 50 km/h respectively. Find the time taken by them to meet each other.

Mutiply 431 by 439.

A cone whose height is 15 cm and radius of base is 6 cm is trimmed suficiently to reduce it to a pyramid whose base is an quilateral triangle . The volume of the portion removed is :

The lengths of two parallel sides of a trapezium are 12 cm and 16 cm. If the height of the trapezium be 8 cm, then its area is

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

Find the distance between the points (-5, 3) and (3, 1) :

There are officer and Assistant in an office. If 15 Assistant went on leave then every Assistant has two officers, after that 45 officers went on leave now every officer has 5 Assistants. Then find out how many Assistant were there initially.

A hollow cylindrical tube open at both ends is made of iron 2 cm thick. If the external diameter be 50 cmand the length of the tube is 210 cm, find the volume

A took 15 s to cross a rectangular field diagonally walking at the rate of 52m//minand B took the same time to cross the same field along its sides walking at the rate of 68 m//min. Find the area of the field.

The value of ((e^x + e^(-x))/(2))^(2) - ((e^x - e^(-x))/(2))^(2) is :

The marks obtained by E in Geography are what per cent of the marks obtained by E in Hindi?

If a fraction is multiple by itself and then divided by the reciprocal of the same fraction, the result is 18 ( 26)/( 27) . Find the fraction.

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

Findirrational number between a and b .

In the given figure AB||CD||EF and GH||KL Find m angle HKL.

I.2x^(2) + 9x + 7 = 0""II. Y^(2) + 4y+4 = 0

Income of a man is increased by Rs 1800 and payable tax is decreased from 18%t o15%.In both cases 29.95 income tax is free. Find initial income.

log_3 2 ,log_3(2^x-5) , log_3(2^x-7/2) are in A.P. then the value of x =?