8677 + Interview Questions in Maths in Class 14 Page 119 InterviewSolution

5901.	A function f(x)=log(g(x)), where g(x) is any function of x. For what value of g(x), g(x)=g(f(x))?
Answer» E `e^x` LOG x none of these Answer :B

Discussion

5902.	Kailash wants to sell his television. There are two offers, one at RS 10000 cash and the other at a credit of RS 6440 to be paid after 8 months, money beiing at 18% per annum. Which one is better offer?
Answer» X 6440 at CREDIT X 6460 in CASH X 6440 at credit and X 1000 in cash both X 10000 in cash Answer :D

Discussion

5903.	Find the number of ways, in which 7 books can be selected out of 10 books available.
Answer» ANSWER :120

Discussion

5904.	There are six faces in a cube . Rajeev fix one cube on each of the faces . The dimensions of all the cubes are same. What is the ratio of total surface area of the newly formed solid to the area of a single cube ?
Answer» `7:1` `6:1` `5:1` `41:9` ANSWER :C

Discussion

5905.	At the time of marriage of a son the average of age ofmother, father and son is 42 yrs. After one year of marriage a baby is born when the baby turns 5 years old then the average age of whole family is 36 years. Find the age of their daughter-in-law at the time of her marriage.
Answer» ANSWER :25 YEARS

Discussion

5906.	A student appears for tests A, B and C. The student is successful if he passes either in tests A and B or tests A and C. The probabilities of the student passing in tests A, B, C are P ,q and 1/2 respectively. If the probability that the student is successful is1/2 then,
Answer» <P>`p=1,Q=0` `p=0,q=1` `(p)/(q)=1` infinitelymanysolutions Answer :D

Discussion

5907.	ABCD is a parallelogram. E is a point on extended side AB such that AB = BE. By joining D to E it intersects side BC at P. Find length of PC if BC = 15 cm.
Answer» ANSWER :7.5

Discussion

5908.	If the sides of a triangle are produced then the sum of the exterior angles i.e, angleDAB+angleEBC+angleFCA is equal to :
Answer» `180^(@)` `270^(@)` `360^(@)` `240^(@)` ANSWER :C

Discussion

5909.	Find the remainder when (22222 ……101 times) is divided by 11.
Answer» 2 3 4 9 Answer :a

Discussion

5910.	If a o+ b = a^3 + b^2+ 1 a © b = (a - b)^2+ 1 a b = a^3 - b^2 + 1 If P = (2 o+ 3)© (3 5), then the value of P is :
Answer» <P>225 226 256 none of these Solution :`P = (2oplus3) © (3*5) `rArr P = (2^3+3^3+1)©(3^3-5^2+1) rArr P = 18©3 = (18-3)^2 + 1` rArr P = 226`

Discussion

5911.	A train going from Delhi to Jaipur stops at 7 intermediate stations. Five persons enter the train in between the journey with different tickets of same class. How many different sets of tickets they could have had.
Answer» 98280 2898 7325 none of these Answer :A

Discussion

5912.	If the roots of a quadratic equation are rational, which of the following cannot be the value of discriminant D?
Answer» A)0.01 B)6.25 C)0.036 D)1.44 Answer :C

Discussion

5913.	If a/b=c/d=e/f, then the value of ((a^np+c^nq+e^nr)/(b^np+d^nq+f^nr))^(1/n)
Answer» `(AD)/(bc)` `(af)/(be)` `(ck)/(dk)` NONE of these Answer :C

Discussion

5914.	Find the sum of first n groups of (1) + (1+3) +(1+3+9) + (1+3+9 +27) + …
Answer» `1/2(3^N-1)` `3/(4(3^n-1)-n)/2` `n^2+1` NONE of these Answer :B

Discussion

5915.	The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). the value of R(17).R(19,62)is :
Answer» `99!` `100!` `270` NONE of these ANSWER :A

Discussion

5916.	The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). The H.C.F. of R 1(139, 2) and R (141):
Answer» `(81 !)/(18)` `(81 !) XX 18` `36!` `17 xx (19 + 62)` ANSWER :A

Discussion

5917.	The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). The L.C.M. of R (2,995) and R (996,1) is :
Answer» `141` `2743860` `32,16,839` `19599` ANSWER :B

Discussion

5918.	Answer these questions based on the following information. A shop has 10 mobile recharge coupons of Vodafone. Out of which 4 are identical of same value and remaining each coupons is of distinct value. Find the number of ways of selecting 3 coupons.
Answer» 6 21 22 42 Answer :D

Discussion

5919.	Answer these questions based on the following information. A shop has 10 mobile recharge coupons of Vodafone. Out of which 4 are identical of same value and remaining each coupons is of distinct value. Find the number of ways of selecting 7 coupons.
Answer» 3 21 42 22 Answer :C

Discussion

5920.	What is the greatest number that will divide 307 and 330 leaving remainder 3 and 7 respectively ?
Answer» 19 16 17 23 Answer :A

Discussion

5921.	A boat takes 9 h to travel a distance upstream and takes 3 h to travel the same distance downstream. If the speed of the boat in still water is 4 km/h, then what is the velocity of the stream?
Answer» a. 4 km/h b. 3 km/h c. 6 km/h d. 2 km/h Answer :D

Discussion

5922.	A boat takes 5 hours more while going back in upstream than in downstream if the distance between two places is 24 km and the speed of boat in still water be 5.5 km/h what must be the speed of boat in still water so that it can row downstream 24 km in 4 hours?
Answer» 1.5 km/h 3.5 km/h 4.5 km/h 3 km/h Answer :B

Discussion

5923.	If 2^(x) 3^(2x) =100 then the value of x is (log 2 = 0.3010, log 3 = 0.4771)
Answer» 2.3 1.59 1.8 1.41 Answer :B

Discussion

5924.	Virendra and Gurindra purchased one camera each at the same prices. Later on Amrendra purchased both cameras at equal prices from Virendra and Gurindra. But the profit percentage of Virendra was P while the same of Gurindra was Q, since Gurindra calculated his profit on the selling price. Thus Q=41 2/3%Amrendra sells one of the camera to Dholakiya at P% profit, then what is die cost price for Dholakiya, while Amrendra purchased each of die camera at ₹ 240?
Answer» RS. 676 Rs. 500 Rs. 576 none of these ANSWER :C

Discussion

5925.	If the breadth and perimeter of a rectangle are in the ratio 1 : 8 and the area of rectangle is 363 cm""^2, then the breadth of the rectangle is:
Answer» `2:1` `(sqrt(3) -1) : 1` `(sqrt(3) + 1) : 1` `2 : sqrt(3) ` ANSWER :C

Discussion

5926.	Find (1+tan2^(@))(1+tan43^(@)).
Answer» ANSWER :2

Discussion

5927.	1,2,3,4,10,11,12,13,14,20,21,22,23,24,… are the consecutive numbes written in base 5. The twenty fifth number in the above sequence would be :
Answer» 52 100 25 none of these Answer :B

Discussion

5928.	A person purchased 3 cows and 8 goats for Rs 47200 If he had purchased 8 cows and 3 gots then he would have to give Rs 53000 more . Find cost price of each cow.
Answer» ANSWER :RS. 12000

Discussion

5929.	A naturalnumberis chosenat randomfromamongstthefirst300. whatis theprobabilitythatthe number, sochosenisdivisibleby 3or 5 ?
Answer» `48/515` `4/150` `1//2` NONE of these Answer :C

Discussion

5930.	cos7^(@)cos23^(@)cos45^(@)cosec83^(@)cosec67^(@)=?
Answer» 0 1 `(1)/(2)` `(1)/(SQRT(2))` Answer :A::B

Discussion

5931.	In triangle ABC,BC=8 cm, AC=15 cm and AB=17 cm. The length of the altitude drawn from B on AC is :
Answer» 6 cm 7 cm 8 cm 10 cm ANSWER :C

Discussion

5932.	If the pth, qth and rth terms of a G.P. be respectively , a,b and c then the value of a^(q-r).b^(r-p).c^(p-q) is :
Answer» 0 1 3 abc//pqr Answer :B

Discussion

5933.	How many days are therer in x weeks x days
Answer» ANSWER :8X DAYS

Discussion

5934.	A shopkeeper uses a weight of 460 g instead of 500 g and sells the articles at the cost price. What is the profit percentage?
Answer» `40%` `23%` `8(16)/23%` `20%` Answer :C

Discussion

5935.	In the following division problem some digits are replaced by letters a,b,c…….etc. The value of f is :
Answer» 4 6 0 can't be determined Answer :B

Discussion

5936.	If x= sqrt((sqrt5+1)/(sqrt5-1)), then x^(2)-x -1 is equal to
Answer» 0 1 2 5 Answer :A

Discussion

5937.	Ice is lighter than water due to
Answer» `25%` `20%` `33.33%` NONE of these Answer :B

Discussion

5938.	Anjali, Bhoomika and Chawla went to market to purchase the rings whose costs were same. But each ring was available with two successive discounts. Alkali availed two successive discounts of5% and 20%. Bhoomika availed two successive discounts 10% and 15% while Chawla availed two successive discounts of12% and 13%. Who gets the maximum possible discount?
Answer» Anjali Bhoomika Chawla all of these Answer :A

Discussion

5939.	The ratio of prices of Cello and Rotomac pens in 2000 were in the ratio of 3: 5. In 2005 the price of Cello pen tebles itself and the price of Rotomac pen is increased by ₹ 100, then the new ratio of prices of the same pens becomes 4 : 5. What was the original price of the Rotomac pen in 2000?
Answer» ₹ 60 ₹ 80 ₹ 100 ₹ 120 Answer :B

Discussion

5940.	How many numbers between 1 and 1000 are divisible by 5?
Answer» 777 200 143 none of these Answer :B

Discussion

5941.	Three circles each of units radius intersects each other at P, Q and R. P, Q and R are the centres of the three circles. What is the sum of length of the arcs PQ, QR and PR ?
Answer» `sqrt3pi` `2sqrt2pi` `PI` NONE of these Answer :C

Discussion

5942.	A number 1 lt N lt 100 is such that it is a perfect square and perfect cube both, then the sum of digits of N is :
Answer» 1 10 20 can't be determined Answer :B

Discussion

5943.	IF n is a three digit number and last two digits of square of n are 54(n^(2) = …. 54), then how many values of n are possible ?
Answer» 2 20 1 0 Answer :d

Discussion

5944.	Find the total number of rectangles when 8 vertical lines intersect 15 horizontal lines such that all the vertical lines are parallel and equidistant to each other, and all the horizontal lines are also parallel and equidistant to each other.
Answer» 3996 6040 2940 6734 Answer :C

Discussion

5945.	Three typists A, B and C working together 8 hours per a can type 900 pages in 20 days. In a day B types as many pages more than A as C types as many pages more than R number of pages typed by A in 4 hours equal to the number of pages typed by C in 1 hour. How many pages C types in each hour?
Answer» 1 2 3 4 Answer :C

Discussion

5946.	When a two digit number is subtracted from the other two digit number which consists of the same digits but in reverse order, then the difference comes out to be a two digit perfect square. The number is :
Answer» 59 73 36 not UNIQUE ANSWER :D

Discussion

5947.	If 2costheta=x+(1)/(x), then find the value of 2cos^(2)theta.
Answer» a) `(1)/(2)(X^(2)+(1)/(x^(2)))+1` b) `(x^(2)+(1)/(x^(2)))-1` C) `(3)/(x^(3))` d) 1 Answer :A

Discussion

5948.	If (sqrta+sqrtb)=17 and (sqrta-sqrtb)=1, then the value of sqrtab is :
Answer» 72 27 35 none of these Answer :A

Discussion

5949.	Mutiply 76 by 96.
Answer» Solution :Step 1: 96 - 76 = 20(here 20 is an EVEN number) Step 2:`20/2=10` Step 3: 76 +10 = 96 - 10 = 86 Step 4:`(86)^2`=7396 Step 5:`(10)^2` = 100 Step 6: 7396 - 7296

Discussion

5950.	In the given expression pq = p - q + 9, q is a fraction and p is any positive integer. The value of p, which is inadmissible is :
Answer» 5 4 8 2 Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

A function f(x)=log(g(x)), where g(x) is any function of x. For what value of g(x), g(x)=g(f(x))?

Kailash wants to sell his television. There are two offers, one at RS 10000 cash and the other at a credit of RS 6440 to be paid after 8 months, money beiing at 18% per annum. Which one is better offer?

Find the number of ways, in which 7 books can be selected out of 10 books available.

There are six faces in a cube . Rajeev fix one cube on each of the faces . The dimensions of all the cubes are same. What is the ratio of total surface area of the newly formed solid to the area of a single cube ?

At the time of marriage of a son the average of age ofmother, father and son is 42 yrs. After one year of marriage a baby is born when the baby turns 5 years old then the average age of whole family is 36 years. Find the age of their daughter-in-law at the time of her marriage.

A student appears for tests A, B and C. The student is successful if he passes either in tests A and B or tests A and C. The probabilities of the student passing in tests A, B, C are P ,q and 1/2 respectively. If the probability that the student is successful is1/2 then,

ABCD is a parallelogram. E is a point on extended side AB such that AB = BE. By joining D to E it intersects side BC at P. Find length of PC if BC = 15 cm.

If the sides of a triangle are produced then the sum of the exterior angles i.e, angleDAB+angleEBC+angleFCA is equal to :

Find the remainder when (22222 ……101 times) is divided by 11.

If a o+ b = a^3 + b^2+ 1 a © b = (a - b)^2+ 1 a ** b = a^3 - b^2 + 1 If P = (2 o+ 3)© (3 ** 5), then the value of P is :

A train going from Delhi to Jaipur stops at 7 intermediate stations. Five persons enter the train in between the journey with different tickets of same class. How many different sets of tickets they could have had.

If the roots of a quadratic equation are rational, which of the following cannot be the value of discriminant D?

If a/b=c/d=e/f, then the value of ((a^np+c^nq+e^nr)/(b^np+d^nq+f^nr))^(1/n)

Find the sum of first n groups of (1) + (1+3) +(1+3+9) + (1+3+9 +27) + …

The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). the value of R(17).R(19,62)is :

The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). The H.C.F. of R 1(139, 2) and R (141):

The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). The L.C.M. of R (2,995) and R (996,1) is :

Answer these questions based on the following information. A shop has 10 mobile recharge coupons of Vodafone. Out of which 4 are identical of same value and remaining each coupons is of distinct value. Find the number of ways of selecting 3 coupons.

Answer these questions based on the following information. A shop has 10 mobile recharge coupons of Vodafone. Out of which 4 are identical of same value and remaining each coupons is of distinct value. Find the number of ways of selecting 7 coupons.

What is the greatest number that will divide 307 and 330 leaving remainder 3 and 7 respectively ?

A boat takes 9 h to travel a distance upstream and takes 3 h to travel the same distance downstream. If the speed of the boat in still water is 4 km/h, then what is the velocity of the stream?

A boat takes 5 hours more while going back in upstream than in downstream if the distance between two places is 24 km and the speed of boat in still water be 5.5 km/h what must be the speed of boat in still water so that it can row downstream 24 km in 4 hours?

If 2^(x) 3^(2x) =100 then the value of x is (log 2 = 0.3010, log 3 = 0.4771)

If the breadth and perimeter of a rectangle are in the ratio 1 : 8 and the area of rectangle is 363 cm""^2, then the breadth of the rectangle is:

Find (1+tan2^(@))(1+tan43^(@)).

1,2,3,4,10,11,12,13,14,20,21,22,23,24,… are the consecutive numbes written in base 5. The twenty fifth number in the above sequence would be :

A person purchased 3 cows and 8 goats for Rs 47200 If he had purchased 8 cows and 3 gots then he would have to give Rs 53000 more . Find cost price of each cow.

A naturalnumberis chosenat randomfromamongstthefirst300. whatis theprobabilitythatthe number, sochosenisdivisibleby 3or 5 ?

cos7^(@)cos23^(@)cos45^(@)cosec83^(@)cosec67^(@)=?

In triangle ABC,BC=8 cm, AC=15 cm and AB=17 cm. The length of the altitude drawn from B on AC is :

If the pth, qth and rth terms of a G.P. be respectively , a,b and c then the value of a^(q-r).b^(r-p).c^(p-q) is :

How many days are therer in x weeks x days

A shopkeeper uses a weight of 460 g instead of 500 g and sells the articles at the cost price. What is the profit percentage?

In the following division problem some digits are replaced by letters a,b,c…….etc. The value of f is :

If x= sqrt((sqrt5+1)/(sqrt5-1)), then x^(2)-x -1 is equal to

Ice is lighter than water due to

The ratio of prices of Cello and Rotomac pens in 2000 were in the ratio of 3: 5. In 2005 the price of Cello pen tebles itself and the price of Rotomac pen is increased by ₹ 100, then the new ratio of prices of the same pens becomes 4 : 5. What was the original price of the Rotomac pen in 2000?

How many numbers between 1 and 1000 are divisible by 5?

Three circles each of units radius intersects each other at P, Q and R. P, Q and R are the centres of the three circles. What is the sum of length of the arcs PQ, QR and PR ?

A number 1 lt N lt 100 is such that it is a perfect square and perfect cube both, then the sum of digits of N is :

IF n is a three digit number and last two digits of square of n are 54(n^(2) = …. 54), then how many values of n are possible ?

Find the total number of rectangles when 8 vertical lines intersect 15 horizontal lines such that all the vertical lines are parallel and equidistant to each other, and all the horizontal lines are also parallel and equidistant to each other.

Three typists A, B and C working together 8 hours per a can type 900 pages in 20 days. In a day B types as many pages more than A as C types as many pages more than R number of pages typed by A in 4 hours equal to the number of pages typed by C in 1 hour. How many pages C types in each hour?

When a two digit number is subtracted from the other two digit number which consists of the same digits but in reverse order, then the difference comes out to be a two digit perfect square. The number is :

If 2costheta=x+(1)/(x), then find the value of 2cos^(2)theta.

If (sqrta+sqrtb)=17 and (sqrta-sqrtb)=1, then the value of sqrtab is :

Mutiply 76 by 96.

In the given expression pq = p - q + 9, q is a fraction and p is any positive integer. The value of p, which is inadmissible is :

If a o+ b = a^3 + b^2+ 1 a © b = (a - b)^2+ 1 a b = a^3 - b^2 + 1 If P = (2 o+ 3)© (3 5), then the value of P is :