8677 + Interview Questions in Maths in Class 14 Page 63 InterviewSolution

3101.	p^q - q^r = (p + q)^(r - q), where 1 < q < r < p < 10 then the value of p + q + r is :
Answer» 31 21 15 12 Answer :C

Discussion

3102.	l_1, b_1 and l_2, b_2 are the lenghts and breadths of the two rectangles respectively, but the areas of the rectangles are same. l_1 is increased by 25% and b_1 is decreased by 25%. Similarly l_2 is decreased by 25% and b_2 is increased by 25%. If A_1 and A_2 is the new areas of the two rectangles respectively, then:
Answer» `A_1 GT A_2` `A_1 LT A_2` `A_1 = A_2` can't be determined Answer :C

Discussion

3103.	If cosA=acosB and sinA=bsinB, then (b^(2)-a^(2))sin^(2)B=?
Answer» `1+a^(2)` `2+a^(2)` `1-a^(2)` `2-a^(2)` ANSWER :A::B

Discussion

3104.	What wil be the minimum value of 12 + (x-2)^(2) ?
Answer» ANSWER :2

Discussion

3105.	Express 1:5 ratios as percentage:
Answer» SOLUTION :`1:5=1/5=1/5 XX 100 =20%`

Discussion

3106.	Solve the followingsystem of equations:(x+y)/(x y)=2,\ \ \ (x-y)/(x y)=6
Answer» (-1/2),1/4 1/2,(-1/4) 1/2,(-3/2) (-1/4),(-3/4) ANSWER :A

Discussion

3107.	If a child goes to his school at the speed of 40 km/h. He reaches 2 hours early and if the travels at the speed of 30 km/h then the reaches 1 hour early. Find out his actual speed and distance actual time taken in order to reach at time.
Answer» ANSWER :120 KM, 5HRS ,60 km/h

Discussion

3108.	30x^(2) + 11x + 1 = 0 42y^(2) + 13y + 1 = 0
Answer» `x GT y` ` x lt y` ` x ge y` ` x le y` Solution :` 30X^(2) +11x + 1 = 0` ` 30x^(2) + 6x + 5x + 1 = 0` ` x =- 0.16, -0.19` ` 42Y^(2) + 13Y + 1 = 0` ` 42y^(2) + 6Y + 7y + 1 = 0` ` y =- 0.14, - 0.16` Put on number line ` -0.19, -0.16, -0.16, - 0.14`

Discussion

3109.	A trader earns 40% profit by marking up his goods by 20%. Minimum how much per cent does his balance weigh less than that it should weigh?
Answer» 12 14.28 16.67 none of these Answer :B

Discussion

3110.	The speeds of two trains A and B are 42 km/h and 33 km/h, respectively. Length of train B is 3/2 times the length of A. Train A takes 50 s to cross train B, if they are moving in the same direction. How long will they take to cross each other if they are moving in opposite directions ?
Answer» 6s 17s 12 s 9s Answer :A

Discussion

3111.	3/4 xx ((-2)/3 + 3/5) is equal to :
Answer» `(-3)/20` `-(19)/20` `(-1)/20` `1/20` ANSWER :C

Discussion

3112.	Three bells in the bhootnath temple toll at the interval of 48, 72 and 108 second individually. If they have tolled all together at 6 : 00 AM then at what time will they toll together after 6 : 00 AM ?
Answer» Solution :The three balls toll together only at the LCM of the TIMES they toll individually. Thus the LCM of 48 , 72 , and 108 is 432 seconds. Therefore all the bells will tolltogether at 6 : 07 : 12 AM (`therefore` 432 seconds = 7 MINUTS 12 seconds)

Discussion

3113.	If 2[x^(2)+(1)/(x^(2))]-2[x-(1)/(x)]-8=0,what are the two values of (x-(1)/(x))?
Answer» `-1or2` `1or-2` `-1or-2` `1or2` ANSWER :A

Discussion

3114.	Find the remainder in expression– (660 xx 661 xx 662)/(17)
Answer» 11 6 9 12 Answer :a

Discussion

3115.	If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/(35) . What is the orginal fractional ?
Answer» `3/(10)` `2/(15)` `(3)/(14)` `3/7` ANSWER :C

Discussion

3116.	A rectangle with sides of lengths(2n-1) and (2m-1) units is divided into squares of unit length. The number of rectangles which can be formed with sides of odd length, is (a) m^2n^2 (b) mn(m+1)(n+1) (c) 4^(m+n-1) (d) non of these
Answer» `(m+n+1)^2` `4^((m+n-1))` `m^2n^2` MN(m+1)(n+1) ANSWER :C

Discussion

3117.	Which one of following is not correct ?
Answer» `sqrt0.4096 = 0.64` `sqrt40.96 = 6.4` `sqrt0.04096 = 0.064` `sqrt4096 = 64` ANSWER :C

Discussion

3118.	A four digit number is formed using the digits 1, 2, 3, 5 with norepetitions. Write the probability that the number is divisible by 5.
Answer» `3/4` `1/4` `9/16` `1/16` ANSWER :B

Discussion

3119.	If 8 women collect 200 kg of tea leaves in 10 hours. How many more (in kg) of tea leaves will 12 .women .collect in 8 hours?
Answer» 120 kg 40 kg 5 kg 100 kg Answer :B

Discussion

3120.	A man buys an article for Rs 300 and sells it for Rs 900. Find profit/loss.
Answer» ANSWER :600

Discussion

3121.	A train travelling with uniform speed crosses two bridges of lengths 300 m and 240 min 21 s and 18 s, respectively. Find the speed of the train.
Answer» 72 km/h 68 km/h 65 km/h 60 km/h Answer :A

Discussion

3122.	A hemispherical bowl of internal diameter 54cm contains a liquid. The liquid is to be filled in cylinder bottles of radius 3cm and height 9cm, then number of bottles that can be filled?
Answer» a. 160 b. 162 c. 155 d. 150 Answer :A

Discussion

3123.	A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is 3315. Find share of C?
Answer» a. 1500rs b. 1520rs C. 1400rs d. 1530rs Answer :C

Discussion

3124.	The total number of runs scored If n matches is (n+1)/4(2^(n+1)-n-2),where ngt1 and the runs scored in k^(th) match are given by k.2^(n+1-k), where 1leqkleqn. Find n
Answer» 9 6 7 3 Answer :C

Discussion

3125.	Find the total number of squares in a rectangle having 8 rows and 15 columns.
Answer» 345 456 567 606 Answer :B

Discussion

3126.	If a,b,c gt 0, then (a )/(2a + b +c ) = (b)/(a + 2b +c)= (c )/(a +b + 2c) = ?
Answer» `2` 1/4 `-1` 0 Answer :B

Discussion

3127.	Divide Rs. 15494 between A and B so that A's share at the end of 9 years may be equal to B's share at the end of 11 years, compound interest being 20% per annum. Then A's share is :
Answer» (a)RS 9000 (B)rs 9244 (C)rs 9144 (d)rs 10000 Answer :Rs. 9144

Discussion

3128.	In the given diagram AB\|\|CD, then which one of the following is true ?
Answer» `(AB)/(CD)=(AO)/(OC)` `(AB)/(CD)=(BO)/(OD)` `DeltaAOB~DeltaCOD` all of these Answer :D

Discussion

3129.	Study the following graph carefully and answer the questions given below What was the difference between the number of B type tyres manufactured in 2008 and 2009?
Answer» 100000 2000000 1000000 none to these Answer :D

Discussion

3130.	In a class of 60 students, each student got sweets that are 15% the total number of students. How many sweets were there?
Answer» 540 520 550 none of these ANSWER :C

Discussion

3131.	Three times the cube of a number is seven times the other number. What is the ratio of the first number to the second number ?
Answer» 6 49 144 can't be determined Answer :D

Discussion

3132.	Find a fraction which shall bear the same ratio to 1/27 that 3/5 does to 3/40.
Answer» 5/27 13/27 8/27 can't be determined Answer :D

Discussion

3133.	40% of a number is equal to three fourth's of another number. What is the ratio between the first number and the second number ?
Answer» 15 : 8 12 : 19 14 : 17 can't be determined Answer :C

Discussion

3134.	The value of [3 log (81/80) + 5 log (25/24) + 7 log (16/15)] is:
Answer» LOG 3 log 5 log 7 log 2 Answer :D

Discussion

3135.	A point P is 25 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 24 cm. Find the radius of the circle.
Answer» 5 CM 7 cm 6 cm 8 cm Answer :B

Discussion

3136.	35kg of a type of milk powder (type A) which costs ₹ 614 per kg was mixed with certain amount of another type of milk powder (type B), which costs ₹ 695 per kg. Then the mixture was sold at ₹767 per kg and 18% profit was gained. What was the amount of type B milk powder in the mixture ?
Answer» 25KG 28kg 32KG 36kg Solution :ACCORDINGTO QUESTION, So, answeris 28 kg .

Discussion

3137.	In the given diagram MN\|\|PR and angleLBN=70^(@),AB=BC, Find angleABC:
Answer» `40^(@)` `30^(@)` `35^(@)` `55^(@)` ANSWER :A

Discussion

3138.	By selling an article for Rs 77 a person gained (1)/(10) of his outlay. What would he have gained orlost percent by selling it for Rs 63?
Answer» ANSWER :RS. 10% LOSS

Discussion

3139.	The value of 'a' when 3^a = 9^b and 4^((a+b+2)b) = 16^(ab) is :
Answer» 2 1 4 none of these Answer :C

Discussion

3140.	Praveen gets 40 marks out of 50 in Computer Science, 70 out of 100 in Manufacturing science and 142 out of 150 in proffessional communication. The marks of Praveen in percent in all the three subjects is :
Answer» `84%` `76%` `71%` `60%` ANSWER :A

Discussion

3141.	Find the number of diagonals in a decagon.
Answer» 25 35 45 `""^(N)C_2 -n` ANSWER :B

Discussion

3142.	if A ,B and Care threemutuallyexclusiveand exhaustiveevents. Find P(A), ifP (B )= 3/2P(A )and P(C )= 1/2P(B)
Answer» `8/13` `5/13` `4/13` `9/13` ANSWER :C

Discussion

3143.	The sum of four numbers is 64. If you add 3 to first number , 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results become equal. What is the difference between the largest and the smallest of the original numbers ?
Answer» 32 27 21 None of these Answer :A

Discussion

3144.	Find the cube root of 216.
Answer»

Discussion

3145.	On a certain sum of money, the simple interest for 2 years is Rs. 200 at the rate of 7% per annum. Find the difference in CI and SI.
Answer» ANSWER :RS. 7

Discussion

3146.	A bagcontains8 redand 4greenballs. Findthe probabiltythat threeballsare drawnand noneof themis red .
Answer» `68/99` `7/99` `4/495` NONE of these Answer :C

Discussion

3147.	Pankaj and Sushil invested some amount of money in the ratio of 3: 5for the same period in a business. They decided that at the end of year 20% profit was to be given to AIDS Control Society of India as a donation. Out of the remaining, 75% was to be reinvested and the rest of die profit was to be divided as interest on their capitals. If the difference in their shares is ₹ 1200. Find the total profit?
Answer» ₹ 18000 ₹ 24000 ₹ 20000 none of these Answer :B

Discussion

3148.	Find minimum value of (9-x) (2-x)
Answer» ANSWER :`(-49)/(2)`

Discussion

3149.	Speed ofboat in still water is 19 km/h and speed of stream is 11 km/h. The boat takes total 9(1)/(2)hours to go and come back. Find the length of the river.
Answer» SOLUTION :N/A

Discussion

3150.	Point A and B are 90 km apart from each other on a highway. A carstarts from A and another from B at the same time.If they go in the same direction they meet in 9 hours and if they go inopposite directions they meet in 9/7 hours. Find their speeds.
Answer» 25,45 20,50 30,40 35,65 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

p^q - q^r = (p + q)^(r - q), where 1 < q < r < p < 10 then the value of p + q + r is :

If cosA=acosB and sinA=bsinB, then (b^(2)-a^(2))sin^(2)B=?

What wil be the minimum value of 12 + (x-2)^(2) ?

Express 1:5 ratios as percentage:

Solve the followingsystem of equations:(x+y)/(x y)=2,\ \ \ (x-y)/(x y)=6

If a child goes to his school at the speed of 40 km/h. He reaches 2 hours early and if the travels at the speed of 30 km/h then the reaches 1 hour early. Find out his actual speed and distance actual time taken in order to reach at time.

30x^(2) + 11x + 1 = 0 42y^(2) + 13y + 1 = 0

A trader earns 40% profit by marking up his goods by 20%. Minimum how much per cent does his balance weigh less than that it should weigh?

The speeds of two trains A and B are 42 km/h and 33 km/h, respectively. Length of train B is 3/2 times the length of A. Train A takes 50 s to cross train B, if they are moving in the same direction. How long will they take to cross each other if they are moving in opposite directions ?

3/4 xx ((-2)/3 + 3/5) is equal to :

Three bells in the bhootnath temple toll at the interval of 48, 72 and 108 second individually. If they have tolled all together at 6 : 00 AM then at what time will they toll together after 6 : 00 AM ?

If 2[x^(2)+(1)/(x^(2))]-2[x-(1)/(x)]-8=0,what are the two values of (x-(1)/(x))?

Find the remainder in expression– (660 xx 661 xx 662)/(17)

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 9/(35) . What is the orginal fractional ?

A rectangle with sides of lengths(2n-1) and (2m-1) units is divided into squares of unit length. The number of rectangles which can be formed with sides of odd length, is (a) m^2n^2 (b) mn(m+1)(n+1) (c) 4^(m+n-1) (d) non of these

Which one of following is not correct ?

A four digit number is formed using the digits 1, 2, 3, 5 with norepetitions. Write the probability that the number is divisible by 5.

If 8 women collect 200 kg of tea leaves in 10 hours. How many more (in kg) of tea leaves will 12 .women .collect in 8 hours?

A man buys an article for Rs 300 and sells it for Rs 900. Find profit/loss.

A train travelling with uniform speed crosses two bridges of lengths 300 m and 240 min 21 s and 18 s, respectively. Find the speed of the train.

A hemispherical bowl of internal diameter 54cm contains a liquid. The liquid is to be filled in cylinder bottles of radius 3cm and height 9cm, then number of bottles that can be filled?

A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is 3315. Find share of C?

The total number of runs scored If n matches is (n+1)/4(2^(n+1)-n-2),where ngt1 and the runs scored in k^(th) match are given by k.2^(n+1-k), where 1leqkleqn. Find n

Find the total number of squares in a rectangle having 8 rows and 15 columns.

If a,b,c gt 0, then (a )/(2a + b +c ) = (b)/(a + 2b +c)= (c )/(a +b + 2c) = ?

Divide Rs. 15494 between A and B so that A's share at the end of 9 years may be equal to B's share at the end of 11 years, compound interest being 20% per annum. Then A's share is :

In the given diagram AB||CD, then which one of the following is true ?

Study the following graph carefully and answer the questions given below What was the difference between the number of B type tyres manufactured in 2008 and 2009?

In a class of 60 students, each student got sweets that are 15% the total number of students. How many sweets were there?

Three times the cube of a number is seven times the other number. What is the ratio of the first number to the second number ?

Find a fraction which shall bear the same ratio to 1/27 that 3/5 does to 3/40.

40% of a number is equal to three fourth's of another number. What is the ratio between the first number and the second number ?

The value of [3 log (81/80) + 5 log (25/24) + 7 log (16/15)] is:

A point P is 25 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 24 cm. Find the radius of the circle.

35kg of a type of milk powder (type A) which costs ₹ 614 per kg was mixed with certain amount of another type of milk powder (type B), which costs ₹ 695 per kg. Then the mixture was sold at ₹767 per kg and 18% profit was gained. What was the amount of type B milk powder in the mixture ?

In the given diagram MN||PR and angleLBN=70^(@),AB=BC, Find angleABC:

By selling an article for Rs 77 a person gained (1)/(10) of his outlay. What would he have gained orlost percent by selling it for Rs 63?

The value of 'a' when 3^a = 9^b and 4^((a+b+2)b) = 16^(ab) is :

Praveen gets 40 marks out of 50 in Computer Science, 70 out of 100 in Manufacturing science and 142 out of 150 in proffessional communication. The marks of Praveen in percent in all the three subjects is :

Find the number of diagonals in a decagon.

if A ,B and Care threemutuallyexclusiveand exhaustiveevents. Find P(A), ifP (B )= 3/2P(A )and P(C )= 1/2P(B)

The sum of four numbers is 64. If you add 3 to first number , 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results become equal. What is the difference between the largest and the smallest of the original numbers ?

Find the cube root of 216.

On a certain sum of money, the simple interest for 2 years is Rs. 200 at the rate of 7% per annum. Find the difference in CI and SI.

A bagcontains8 redand 4greenballs. Findthe probabiltythat threeballsare drawnand noneof themis red .

Find minimum value of (9-x) (2-x)

Speed ofboat in still water is 19 km/h and speed of stream is 11 km/h. The boat takes total 9(1)/(2)hours to go and come back. Find the length of the river.

Point A and B are 90 km apart from each other on a highway. A carstarts from A and another from B at the same time.If they go in the same direction they meet in 9 hours and if they go inopposite directions they meet in 9/7 hours. Find their speeds.