8677 + Interview Questions in Maths in Class 14 Page 76 InterviewSolution

3751.	Find the area of the largest triangle that can be inscribed in a semi-circle of radius a cm.
Answer» `2a^2` SQ cm` `a^(2) sq cm` `1/2 a^(2) sq cm` `2a^(2) sq cm` ANSWER :B

Discussion

3752.	If 133 !Is exactly divisible by 6^(n)find the max value of n.
Answer» ANSWER :`=63`

Discussion

3753.	The total number of prime number between 120 and 140 is :
Answer» 7 6 5 4 Answer :D

Discussion

3754.	If , 0 < m < n < 1. Then the expression km < kn is true if :
Answer» `k lt 0` `k GT 0` k = 1 only all of a, B, c Answer :D

Discussion

3755.	A contractor undertook a work to complete in 60 days. But just after 20 days he observed that only (1)/(5)th of the project work had been completed. To complete the work in time in rest days minimum how many workers he had to increase, if there were initially 75 workers were deployed for the task?
Answer» 25 50 75 can’t be determined Answer :C

Discussion

3756.	The sum of all the real roots of the equation \|x-2\|^2+\|x-2\|-2=0 is
Answer» 2 3 4 none of these Answer :C

Discussion

3757.	What will be the present worth of X 3720 due 3 yr hence at 8% per annum? Also, find the true discount.
Answer» PW = ? 3000 and TD = ? 720 PW = X 15000 and TD = X 720 PW = X 3000 and TD = X 320 PW = X 1000 and TD = X 420 Answer :A

Discussion

3758.	ABCD is a parallelogram. E & F are centroid of triangles ABD and BDC respectively. Find the length of EF if length of diagonal AC = 12 cm.
Answer» ANSWER :4 CM

Discussion

3759.	If the area of a square be 22050 sq. cm . Find the length of diagonal :
Answer» 201 cm 220 cm 211 cm 210 cm Answer :D

Discussion

3760.	Check that whether 241 is prime.
Answer» Solution :When we take the square ROOT of 241 it is approximate 25, so we consider it 16. Now we divide 241 by all the prime NUMBERS below 16 viz, 2,3,5,7,11,13. Since 241 is not DIVISIBLE by any ONE of the prime numbers below

Discussion

3761.	If x+ (1)/(x)=1, find x^(12) + (1)/(x^(12))=
Answer» ANSWER :2

Discussion

3762.	If HCF and LCMof two numbers are 29 and 4147. Find the sum of both numbers if both numbers are greater than 29.
Answer» ANSWER :`=696`.

Discussion

3763.	I am three times as old as my son. 15 yr hence. I will be twice as old as my son. What is the sum of our present ages.
Answer» ANSWER :60 YR

Discussion

3764.	x^2-4x+3ge0
Answer» [1,3] `(oo,-3]uu]1,oo)` `(-oo,1)uu(3oo)` `R-(1,3)` ANSWER :D

Discussion

3765.	If alpha,beta,gamma are the roots of the equation x^3+a_0x^2+a_1x+a_2=0, then (1-alpha^2)(1-beta^2)(1-gamma^2) is eqyal to:
Answer» `(1-a_1)^2+(a_0-a_2)^2` `(1+a_1)^2-(a_0-a_2)^2` `(1+a_1)^2+(a_0+a_2)^2` NONE of these Answer :B

Discussion

3766.	A man is knownto speak the truth 3 out of 4 times. He throws a dice and reports that it is a six. Find the probability that it is actually a six.
Answer» `3/8` `5/8` `7/8` `1/12` ANSWER :A

Discussion

3767.	If x(x+y+z) =4, y(x+y+z)=16 and z (x+y+z)=29 and x, y & z are positive numbers. Find x, y & z=?
Answer» ANSWER :`X= (4)/(7) rArr y= (16)/(7) rArr Z= (29)/(7)`

Discussion

3768.	A room is half as long again as it is wide. The cost of carptingit at 62 paise per squre meter is ₹ 2916.48.Find the cost of white washing the ceilling at 30 paise per meter.
Answer» `₹2211.5` `₹1114.2` `₹1411.2` can't be dtmind Answer :C

Discussion

3769.	In the given figure, tangent "PT = 5 cm, PA = 4 cm", find AB:
Answer» `(7)/(4)CM` `(11)/(4)cm` `(9)/(4)cm` can't be determined Answer :C

Discussion

3770.	log_(2)sqrt(x)+log_(2)sqrt(x)=4
Answer» `1,2^(-5//6)` `1,2^(-6//5)` `4,-2` NONE of these ANSWER :B

Discussion

3771.	If p & q are relatively prime number in such a way p + q = 10 & p ltq . How many pair are possible of p,q.
Answer» 2 3 1 0 Answer :a

Discussion

3772.	A person travelled 61 km in 9 hours partly by cycle and partly on foot. Speed of cycle is 9 km/h and speedon foot is 4 km/hr. Find the distance travelled by cycle and travelled on foot .
Answer» ANSWER :`C to 45 ` km `F to 16` km

Discussion

3773.	The number which when divided by 33 is perfectly divisible and closer to 1000 is :
Answer» 990 999 1023 can't be determined Answer :A

Discussion

3774.	An engine can move at the speed of 20/3 m/s without any wagon attached. Reduction in the speed of the train is directly proportional to the square root of the no. of wagons attached . When there are only 4 engines attached its speed is (50/9) m/s. The greatest no. of wagons with which the engine can move is :
Answer» 144 143 12 none of these Answer :B

Discussion

3775.	When product of r consecutive positive integers is divided by r! then the quotient is:
Answer» any NATURAL number a PERFECT number a PROPER fraction either (b) or (a) ANSWER :A

Discussion

3776.	Two number aa n dbaer chosen at random from the set of first 30 naturalnumbers. Find the probability that a^2-b^2is divisible by 3.
Answer» `37/87` `47/87` `17/29` NONE of these Answer :B

Discussion

3777.	The perimeter of a parallelogram with one internal angle 150^@ in 64 cm. Find the length of its sides when its area is maximum.
Answer» 16, 16 15, 17 14, 18 can't be determined Answer :A

Discussion

3778.	Find the number of ways of expressing 49 as a product of co-prime factors.
Answer» Solution :`49 = 7^2` The required numbr of WAYS = `2^(1-1) = 1` `(1xx49)`, is the only WAY to express 49 as a product of co-prime FACTORS.

Discussion

3779.	A train goes with a speed of 20 m/s what is the speed of train in km/h?
Answer» 1.2 12 1200 120 Answer :A

Discussion

3780.	Table sugar is
Answer» (i) (II) (III) (IV) ANSWER :B

Discussion

3781.	Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for ₹ 16. What is original price of an orange?
Answer» RS. 1 Rs. 1.33 Rs. 1.5 Rs. 1.6 Answer :B

Discussion

3782.	450 man-days of work can be completed by a certain number of men in some days. If the number of people (men) are increased by 27, then the. number of day required to complete the same work is decreased- by 15. The number of days are required to complete the" three times work (than the previous/actual work) by 27 men?
Answer» 50 60 54 45 Answer :A

Discussion

3783.	The total surface area of a hemisphere is 462 cm^2. Find its diameter (in cm).
Answer» `3358(2)/3 cm^3` `3528(2)/3cm^3` `2359(2)/3cm^3` `9335(2)/3cm^3` ANSWER :A

Discussion

3784.	A cube of metal , whose edge is 10 cm, is wholly immersed in water contained in cylindrical tube whose diameter is 20 cm, by how much will the waterlevel rise in the tube ?
Answer» 3.3 cm 6 3/(11) cm 3 2/(11) cm none of these Answer :C

Discussion

3785.	A man buys a television set which lists for Rs 5000 at 10% discount . He gets an additional 2% discount (after the first discount) for paying cash. What does he actually pay for the set?
Answer» ANSWER :RS. 4410

Discussion

3786.	If m and n are positive integers and (m – n) is an even number, then (m^(2) - n^(2))will be always divisible by
Answer» odd EVEN `(N - 1)` none of these ANSWER :B

Discussion

3787.	Four bells rings after on interval 9,12,15,18 sec. In 36 min how many times will they ring together .
Answer» ANSWER :`=13` TIMES

Discussion

3788.	Two lines intersect at O. points A_(1),A_(2), . . .A_(n) are taken on one of them and B_(1),B_(2), . . .,B_(n) on the other, the number of triangle that can be drawn with the help of these (2n+1) points are:
Answer» N `n^2` `n^3` `n^4` ANSWER :C

Discussion

3789.	Solve the following system of equations : x-y=0.9,(11)/(2(x+y))=1:
Answer» 3.2,3.5 3.2,2.3 2.3,2.5 4,3.1 Answer :B

Discussion

3790.	Last year Sahara, Tata, Singhania and Birla each has 250 industries. This iyear everyone has sold out 10 factories due to the recession of the economy and poor turnout. The average number of industries which each of the now has :
Answer» 260 240 25 none of these Solution :REQUIRED AVERAGE =OLD average -NEW average =250-10=240

Discussion

3791.	In a 400 m race ,A runs at a speed of 16m/s. If A gives B a start of 16 m and still beats him by 40 s,what will be the speed of B?
Answer» 6 m/s 8 m/s 15 m/s 5.9 m/s Answer :D

Discussion

3792.	There are two fertility clinics in Chandigarh-Chaddha clinic and Chopra clinic, and Vicky arora is the only suitable semen donor availabe in this city. In the morning he donates only to Chaddha clinic and in the evening he donates only to Chopra clinic. In a couple of weeks, after he started donating, he married his fiancee, so he had to discontinue his donation, but in all such weeks he had donated exactly 6 times a week and not more than once in a day. In each donation the amount of semon was exactly the same unit. In all these weeks, out of the total semen donated by Vicky to these two clinics, Chaddha clinic had received one-sixth of the semen in the last week while Chopra clinic had received one-ninth of the semen in the last week. For how many weeks he had donated his semen to these clinics?
Answer» 6 7 8 cannot be DETERMINED uniquely Answer :D

Discussion

3793.	There are two fertility clinics in Chandigarh-Chaddha clinic and Chopra clinic, and Vicky arora is the only suitable semen donor availabe in this city. In the morning he donates only to Chaddha clinic and in the evening he donates only to Chopra clinic. In a couple of weeks, after he started donating, he married his fiancee, so he had to discontinue his donation, but in all such weeks he had donated exactly 6 times a week and not more than once in a day. In each donation the amount of semon was exactly the same unit. In all these weeks, out of the total semen donated by Vicky to these two clinics, Chaddha clinic had received one-sixth of the semen in the last week while Chopra clinic had received one-ninth of the semen in the last week. What could be the possible ratio of the amount of semen received by these two clinics in the last week?
Answer» 5:1 3:2 2:1 1:1 Answer :C

Discussion

3794.	If the side of a square is 24 cm, then the circumference of its circumscribed circle ( in cm ) is :
Answer» `24 sqrt3 pi` `24 SQRT2 pi` `12 sqrt2 pi` `24 pi` Answer :B

Discussion

3795.	In a 25 litre mixture of milk and water, the water is only 20%. How many litres of water is required to increase the percentage of water to 90%?
Answer» 45 litre 70 litre 115 litre 175 litre Answer :D

Discussion

3796.	A child while going to school reduces his speed to 4/5th of his actual speed and reaches 15 minutes late. Find his actual time.
Answer» ANSWER :5 km/h

Discussion

3797.	What is the radius of circularfield whose area is equal to the sum of the areas of three smaller circular fields of radii 8 m ,9m and 12 m respectively ?
Answer» 17 m 20 min 21 min 29 m Answer :A

Discussion

3798.	If A and B are independent events such that P(A)=0.4 and P(B)=0.5, then find P(AnnB).
Answer» 0.76 0.54 0.36 0.24 Answer :D

Discussion

3799.	One day my friend Dorsey told me from LA, that he gets the same salary in each month but when he adds up his six figure salary of two months, three months, four months, five months, or six months each time the figures (or digits) of his salary remains the same, but not in a fix order. Later, he told me that when he add up his salary of 7 months his total salary become(10^6 - 1). What is the salary of Dorsey?
Answer» 123456 285614 142857 can't be determined Answer :C

Discussion

3800.	For any natural number p and q(i)p#q=p3+q3+3andp∗q=p2+q2+2 andp$q=\|p−q\|(ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q)The value of [(1 $ 2) # (3$ 4)]*[(5 $ 6) # (7 $ 8)] is :
Answer» a. 25 b. 52 c. 36 d. NONE of these Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Find the area of the largest triangle that can be inscribed in a semi-circle of radius a cm.

If 133 !Is exactly divisible by 6^(n)find the max value of n.

The total number of prime number between 120 and 140 is :

If , 0 < m < n < 1. Then the expression km < kn is true if :

A contractor undertook a work to complete in 60 days. But just after 20 days he observed that only (1)/(5)th of the project work had been completed. To complete the work in time in rest days minimum how many workers he had to increase, if there were initially 75 workers were deployed for the task?

The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

What will be the present worth of X 3720 due 3 yr hence at 8% per annum? Also, find the true discount.

ABCD is a parallelogram. E & F are centroid of triangles ABD and BDC respectively. Find the length of EF if length of diagonal AC = 12 cm.

If the area of a square be 22050 sq. cm . Find the length of diagonal :

Check that whether 241 is prime.

If x+ (1)/(x)=1, find x^(12) + (1)/(x^(12))=

If HCF and LCMof two numbers are 29 and 4147. Find the sum of both numbers if both numbers are greater than 29.

I am three times as old as my son. 15 yr hence. I will be twice as old as my son. What is the sum of our present ages.

x^2-4x+3ge0

If alpha,beta,gamma are the roots of the equation x^3+a_0x^2+a_1x+a_2=0, then (1-alpha^2)(1-beta^2)(1-gamma^2) is eqyal to:

A man is knownto speak the truth 3 out of 4 times. He throws a dice and reports that it is a six. Find the probability that it is actually a six.

If x(x+y+z) =4, y(x+y+z)=16 and z (x+y+z)=29 and x, y & z are positive numbers. Find x, y & z=?

A room is half as long again as it is wide. The cost of carptingit at 62 paise per squre meter is ₹ 2916.48.Find the cost of white washing the ceilling at 30 paise per meter.

In the given figure, tangent "PT = 5 cm, PA = 4 cm", find AB:

log_(2)sqrt(x)+log_(2)sqrt(x)=4

If p & q are relatively prime number in such a way p + q = 10 & p ltq . How many pair are possible of p,q.

A person travelled 61 km in 9 hours partly by cycle and partly on foot. Speed of cycle is 9 km/h and speedon foot is 4 km/hr. Find the distance travelled by cycle and travelled on foot .

The number which when divided by 33 is perfectly divisible and closer to 1000 is :

When product of r consecutive positive integers is divided by r! then the quotient is:

Two number aa n dbaer chosen at random from the set of first 30 naturalnumbers. Find the probability that a^2-b^2is divisible by 3.

The perimeter of a parallelogram with one internal angle 150^@ in 64 cm. Find the length of its sides when its area is maximum.

Find the number of ways of expressing 49 as a product of co-prime factors.

A train goes with a speed of 20 m/s what is the speed of train in km/h?

Table sugar is

Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for ₹ 16. What is original price of an orange?

The total surface area of a hemisphere is 462 cm^2. Find its diameter (in cm).

A cube of metal , whose edge is 10 cm, is wholly immersed in water contained in cylindrical tube whose diameter is 20 cm, by how much will the waterlevel rise in the tube ?

A man buys a television set which lists for Rs 5000 at 10% discount . He gets an additional 2% discount (after the first discount) for paying cash. What does he actually pay for the set?

If m and n are positive integers and (m – n) is an even number, then (m^(2) - n^(2))will be always divisible by

Four bells rings after on interval 9,12,15,18 sec. In 36 min how many times will they ring together .

Two lines intersect at O. points A_(1),A_(2), . . .A_(n) are taken on one of them and B_(1),B_(2), . . .,B_(n) on the other, the number of triangle that can be drawn with the help of these (2n+1) points are:

Solve the following system of equations : x-y=0.9,(11)/(2(x+y))=1:

Last year Sahara, Tata, Singhania and Birla each has 250 industries. This iyear everyone has sold out 10 factories due to the recession of the economy and poor turnout. The average number of industries which each of the now has :

In a 400 m race ,A runs at a speed of 16m/s. If A gives B a start of 16 m and still beats him by 40 s,what will be the speed of B?

If the side of a square is 24 cm, then the circumference of its circumscribed circle ( in cm ) is :

In a 25 litre mixture of milk and water, the water is only 20%. How many litres of water is required to increase the percentage of water to 90%?

A child while going to school reduces his speed to 4/5th of his actual speed and reaches 15 minutes late. Find his actual time.

What is the radius of circularfield whose area is equal to the sum of the areas of three smaller circular fields of radii 8 m ,9m and 12 m respectively ?

If A and B are independent events such that P(A)=0.4 and P(B)=0.5, then find P(AnnB).

For any natural number p and q(i)p#q=p3+q3+3andp∗q=p2+q2+2 andp$q=|p−q|(ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q)The value of [(1 $ 2) # (3$ 4)]*[(5 $ 6) # (7 $ 8)] is :