8677 + Interview Questions in Maths in Class 14 Page 115 InterviewSolution

5701.	The value of log_(-1//5) 625 is:
Answer» `1/4` `-5` `-4` `-3` ANSWER :C

Discussion

5702.	There are 16 executives including two brothers, Lehman and Mckinsey. In how many ways can they be arranged around the circular table if the two brothers can not be seated together?
Answer» (14!).13 `^14P_3` 14!/3! NONE of these Answer :A

Discussion

5703.	Nine friends have a dinner in a hotel. Eight of them spent X 12 each on their meals and the ninth spent X 16 more than the average expenditure of all the nine. Find out the total money spent by them.
Answer» X126 X135 X111 X141 Answer :A

Discussion

5704.	Three circle of equal radii touch each other as shown in figure . The radius of each circle is 1 cm. What is the area of shaded region ?
Answer» `((2 SQRT(3)-PI)/(2)) cm^(2) ` `((3sqrt(2)-pi)/(3)) cm^(2)` `(2 sqrt(3))/(pi) cm^(2) ` none of the above Answer :A

Discussion

5705.	Which of the following number is divisible by 999?
Answer» (A) 9999999 (B) 99999 (C) 987654321 (D) 145854 Answer :D

Discussion

5706.	Find the 10th term of the H.P. 1, 1/3 , 1/5 , 1/7 , 1/9 , 1/(11) ,….
Answer» ANSWER :C

Discussion

5707.	Find the dividend when divisor is 13, quotient is 30 and remainder is 12.
Answer» 402 543 436 154 Answer :B

Discussion

5708.	A shopping mall in Kashipur, a meditative and idyllic town near Nainital, has three food courts-Chinese, Thai and Italian, situated on its rooftop. Each food court is designed in such way that all the restaurant are situated in a circle. Chinese, Thai and Italian food courts have 20,15 and 10 restaurants, respectively. Having the change (coins and paper currency in smaller denomination) is usally a terrible job due to digital payments and rush in the food courts, so restaurants try to avoid giving the change to each other. Still it is found that each restaurant gives the change to any other restaurant at most three times a day and if the restaurants belong to the same food court then each restaurant gives the change to other restaurant at most two times a day. However, any two adjoining restaurents do not give change to each other at all. On a certain day at most how many times the change can be given to each other among all the restaurants on the roof top?
Answer» 3970 5080 4370 6750 Answer :B

Discussion

5709.	Earlier when I attended a close door meeting to discuss the outsourcing of CAT papers. Including the chairman there were n people viz. A, B, C, D, E, F,… etc. AS per the convention everyone got some chocolates in the following manner. As A,B,C,D,E,… etc. received 1, 2, 3, 4, 5, ... etc. chocolates respectively. Before anyone had eaten a bit of chocolate, due to some urgent call, the chairmam left the meeting with his chocolates. Later on the rest attendants recollected their chocolates in a box and then redistributed all the chocolates evenly among themselves and thus everyone received 13 chocolates. : Maximum how many chocolates were there to be received by all of them, initially?
Answer» 300 676 351 none of these Answer :C

Discussion

5710.	Earlier when I attended a close door meeting to discuss the outsourcing of CAT papers. Including the chairman there were n people viz. A, B, C, D, E, F,… etc. AS per the convention everyone got some chocolates in the following manner. As A,B,C,D,E,… etc. received 1, 2, 3, 4, 5, ... etc. chocolates respectively. Before anyone had eaten a bit of chocolate, due to some urgent call, the chairmam left the meeting with his chocolates. Later on the rest attendants recollected their chocolates in a box and then redistributed all the chocolates evenly among themselves and thus everyone received 13 chocolates. : Who is the chairman of meeting?
Answer» 18 15 24 can't be determined Answer :C

Discussion

5711.	A sum of money becomes 16 times of itself in 2 years if compounded half yearly. How much time it will take to becomes 27 times if compounded yearly.
Answer» ANSWER :3 YEARS

Discussion

5712.	Henry and Ford are two different persons, but when they work together, they complete it in 10 days. Had Henry worked at half of his efficient and Ford at five times of his efficiency it would have taken them to finish the job in 50% of the scheduled time. In how many days can Ford complete the job working alone?
Answer» 12 24 15 30 Answer :D

Discussion

5713.	Express the following in the lowest terms. ((x-3)(x^(2)-5x+4))/((x-4)(x^(2)-2x-3)):
Answer» x-1/x+1 x+1/x-1 x-1/x-2 x+1/x+3 Answer :A

Discussion

5714.	If m^2-4m+1=0 then the value of (m^3+1/m^3) is:
Answer» 48 52 64 none of these Answer :B

Discussion

5715.	An isosceles right trianglehas area 112.5 m^(2). The length of its hypotenuse ( in cm ) is :
Answer» 21.213 21.013 21.113 21.313 Answer :A

Discussion

5716.	A train met with an accident 60 km away from Anantpur station . It completed the remaining hourney at 5/6 th of the previous speed and reached the baramula station 1 hour 12 min late. Had the accident taken place 60 km further it would have been only 1 hour late.what is the normal speed of the train?
Answer» ANSWER :420 KM

Discussion

5717.	If""^n C_x=56and""^(n)P_x= 336findn andx .
Answer» 7, 3 8, 4 8, 3 9, 6 Answer :C

Discussion

5718.	Gold is 19 times heavier than water. Copper is 9 times heavier than water. In which ratio gold and coppershould be mixed so that mixture is 15 times heavier than water ?
Answer» ANSWER :`3:2`

Discussion

5719.	O and O' are the centres of two circles which touch each other externally at P. AB is a common tangent. FindangleAPO
Answer» `90^(@)` `120^(@)` `60^(@)` DATA insufficient Answer :A

Discussion

5720.	Let a function is defined as f(x)=(a^(x)+a^(-x))/(2), a gt 0, what is the value of f(x+y)+f(x-y)?
Answer» `f(x)+f(y)` `f(x)f(y)` `2F(x)f(y)` `4f(x)f(y)` Answer :C

Discussion

5721.	If the radius of the circle is decreased by 20%, then the percentage decrease in its area is?
Answer» a. 26% b. 32% C. 36% d. 53% ANSWER :`(2279)/(7290)" GRADE."`

Discussion

5722.	150 m long train running with the speed of 90 km/h to cross a bridge in 26s. What is the length of the bridge?
Answer» 659 M 550M 659 M 550 M Answer :A

Discussion

5723.	The radius of a cone is sqrt(2) times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube?
Answer» `3.18 PI` `2.25 pi` 2.35 can't be determined Answer :B

Discussion

5724.	A seven digit number divisible by 9 is to be formed by using 7 out of number{1,2,3,4,5,6,7,8,9}. The number of ways in which this can be done is
Answer» A. 74! B. 7! C. 27! D. 4*7! ANSWER :D

Discussion

5725.	If 5th jauary 1991 was Saturday wlhat day of the week was it on 4th march 1992 ?
Answer» ANSWER :the REQUIRED DAY will be WEDNESDAY

Discussion

5726.	Aprajita multiplies a number by 72 insted of 27, then her new answer will increased by than the actual result :
Answer» `7/2` `8/3` `5/3` NON of these Answer :C

Discussion

5727.	An acute angle made by a side of parallelogram with other pair of parallel side is 60^(@) . If the distance between these parallel sides is6 sqrt(3) , the other side is :
Answer» 12 CM `12sqrt3 cm` `15sqrt3 cm` NONE of these Answer :A

Discussion

5728.	What will be anlgle between the two hands of a clock at 9:50 ?
Answer» ANSWER :`=5^(@)`

Discussion

5729.	If x+ (1)/(x) = sqrt3 find x^(48)+ (1)/(x^(48))
Answer» ANSWER :2

Discussion

5730.	ABCD is a square of side 10 cm . BC is the tangent . Find the radius of circle .
Answer» ANSWER :6 . 25 CM

Discussion

5731.	A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs 387. The marked price of the article is
Answer» RS. 450 Rs. 427 Rs. 500 Rs. 440 Answer :A

Discussion

5732.	A runs 7/4 times as fast as B.if A gives B a start of 300 m how far must the winning post be if both A and B have to end the race at same time?
Answer» 1400 m 700 m 350 m 210 m Answer :B

Discussion

5733.	A man bought 9 mangoes for a rupee and sold them at 6 mangoes for a rupee. What is the ratio of profit to the cost price?
Answer» `3/10` `3/2` `1//2` NONE of these Answer :C

Discussion

5734.	If x , y, z are in G.P. and a^x = b^y = c^z , then log_b a* log_b cis equal to:
Answer» 0 1 ac NONE of these Answer :B

Discussion

5735.	Two bombs blast at an interval of 10 minutes. A person running away from that place hears the two blasts at an interval of 12 minutes. If speed of sound is 330 m/s find the speed of the person and the distance he covered by running away from the blast.
Answer» ANSWER : 55 m/s, 39600 m

Discussion

5736.	In a badminton tournament each player played one game with all the other players. How many players participated in the touinament if they played 105 games in all?
Answer» 35 12 15 none of these Answer :C

Discussion

5737.	The ratio in which a man must mix rice at rs. 10.20 per kg and rs. 14.40 per kg so as to make a mixture worth rs. 12.60 per kg.
Answer» a.4:3 b.2:5 c. 1.8:24 d. 3:4 Answer :A

Discussion

5738.	Find the C.I of Rs. 7500 at 4% for 1 year. If the interest compounded half yearly
Answer» ANSWER :RS. 303

Discussion

5739.	Find the number of numbers lying between 1 and 1,00,000 which are divisible by each of 15,35 and 77 and are even also .
Answer» ANSWER :43

Discussion

5740.	What are the roots of the quadratic equations a^2b^2x^2-(a^2+b^2) x+1=0
Answer» 13 15 47 23 Answer :A

Discussion

5741.	Area of quadrilateral ACDE is 36 cm^(2), B is the mid-point of AC. Find the area of DeltaABE if AC \|\| DE andBE \|\|DC :
Answer» `10CM^(2)` `9CM^(2)` `12cm^(2)` can't be determined Answer :C

Discussion

5742.	Simplify:- 69.69 - 51.54 + 73.64 = ? + 32.42
Answer» a. 47.44 b. 53.88 c. 58.38 d. NONE of these Answer :A

Discussion

5743.	In the given diagram XY\|\|PQ. Find anglex^(@) and angley^(@) :
Answer» `75^(@) and 40^(@)` `45^(@), 60^(@)` `75^(@),45^(@)` `60^(@) and 45^(@)` ANSWER :A

Discussion

5744.	The sum of Rs. 600 is divided in A, B and C such that Rs. 40 is more than 2/5 of A's, Rs. 20 is more than 2/7 of B's and Rs. 10 is more than 9/17 of C's share, they are equal. Then what is the share of A, B, C respectively.
Answer» `140, 240, 190` `170, 260, 170` `150, 280, 170` `100, 330, 170` ANSWER :C

Discussion

5745.	Five tailors A, B, C, D and E stich 1800 shirts in 90 days working alternatively. Find the minimum possible number of shirts that can be stiched in a single day by working together:
Answer» 100 20 50 4 Answer :A

Discussion

5746.	If sum of diagonals of arhombus is m, and parameter is 2P . Find area
Answer» <P> ANSWER :`(1)/(4) (m^(2)-p^(2))`

Discussion

5747.	If 64 is divided into the ratio of 2: 4: x and smallest part is 10 (2)/(3).Find x.
Answer» `5 (1)/(3)` `6` `10 (2)/(3)` `20` ANSWER :B

Discussion

5748.	Let S_1 , S_2 , …. Be squares such that for each n ge 1the length of a side of S_n equals the lengths of a diagonal of S_(n+1) . If the length of a sides of S_1 is 10 cm, then for which of the following values of n is the area of S_n less than 1 square cm ?
Answer» 4 8 6 7 Answer :B

Discussion

5749.	A is 40 % more efficient than B. If B can complete this work in 24 days. In how many days will both A and B complete this work ?
Answer» ANSWER :10 DAYS

Discussion

5750.	If cosectheta-cottheta=q, then cosectheta=?
Answer» `(1)/(Q)` `q+(1)/(q)` `(1)/(2Q)` `(1)/(2)(q+(1)/(q))` ANSWER :A::B

Discussion

Explore topic-wise InterviewSolutions in .

The value of log_(-1//5) 625 is:

There are 16 executives including two brothers, Lehman and Mckinsey. In how many ways can they be arranged around the circular table if the two brothers can not be seated together?

Nine friends have a dinner in a hotel. Eight of them spent X 12 each on their meals and the ninth spent X 16 more than the average expenditure of all the nine. Find out the total money spent by them.

Three circle of equal radii touch each other as shown in figure . The radius of each circle is 1 cm. What is the area of shaded region ?

Which of the following number is divisible by 999?

Find the 10th term of the H.P. 1, 1/3 , 1/5 , 1/7 , 1/9 , 1/(11) ,….

Find the dividend when divisor is 13, quotient is 30 and remainder is 12.

A sum of money becomes 16 times of itself in 2 years if compounded half yearly. How much time it will take to becomes 27 times if compounded yearly.

Express the following in the lowest terms. ((x-3)(x^(2)-5x+4))/((x-4)(x^(2)-2x-3)):

If m^2-4m+1=0 then the value of (m^3+1/m^3) is:

An isosceles right trianglehas area 112.5 m^(2). The length of its hypotenuse ( in cm ) is :

If""^n C_x=56and""^(n)P_x= 336findn andx .

Gold is 19 times heavier than water. Copper is 9 times heavier than water. In which ratio gold and coppershould be mixed so that mixture is 15 times heavier than water ?

O and O' are the centres of two circles which touch each other externally at P. AB is a common tangent. FindangleAPO

Let a function is defined as f(x)=(a^(x)+a^(-x))/(2), a gt 0, what is the value of f(x+y)+f(x-y)?

If the radius of the circle is decreased by 20%, then the percentage decrease in its area is?

150 m long train running with the speed of 90 km/h to cross a bridge in 26s. What is the length of the bridge?

The radius of a cone is sqrt(2) times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube?

A seven digit number divisible by 9 is to be formed by using 7 out of number{1,2,3,4,5,6,7,8,9}. The number of ways in which this can be done is

If 5th jauary 1991 was Saturday wlhat day of the week was it on 4th march 1992 ?

Aprajita multiplies a number by 72 insted of 27, then her new answer will increased by than the actual result :

An acute angle made by a side of parallelogram with other pair of parallel side is 60^(@) . If the distance between these parallel sides is6 sqrt(3) , the other side is :

What will be anlgle between the two hands of a clock at 9:50 ?

If x+ (1)/(x) = sqrt3 find x^(48)+ (1)/(x^(48))

ABCD is a square of side 10 cm . BC is the tangent . Find the radius of circle .

A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs 387. The marked price of the article is

A runs 7/4 times as fast as B.if A gives B a start of 300 m how far must the winning post be if both A and B have to end the race at same time?

A man bought 9 mangoes for a rupee and sold them at 6 mangoes for a rupee. What is the ratio of profit to the cost price?

If x , y, z are in G.P. and a^x = b^y = c^z , then log_b a* log_b cis equal to:

Two bombs blast at an interval of 10 minutes. A person running away from that place hears the two blasts at an interval of 12 minutes. If speed of sound is 330 m/s find the speed of the person and the distance he covered by running away from the blast.

In a badminton tournament each player played one game with all the other players. How many players participated in the touinament if they played 105 games in all?

The ratio in which a man must mix rice at rs. 10.20 per kg and rs. 14.40 per kg so as to make a mixture worth rs. 12.60 per kg.

Find the C.I of Rs. 7500 at 4% for 1 year. If the interest compounded half yearly

Find the number of numbers lying between 1 and 1,00,000 which are divisible by each of 15,35 and 77 and are even also .

What are the roots of the quadratic equations a^2b^2x^2-(a^2+b^2) x+1=0

Area of quadrilateral ACDE is 36 cm^(2), B is the mid-point of AC. Find the area of DeltaABE if AC || DE andBE ||DC :

Simplify:- 69.69 - 51.54 + 73.64 = ? + 32.42

In the given diagram XY||PQ. Find anglex^(@) and angley^(@) :

The sum of Rs. 600 is divided in A, B and C such that Rs. 40 is more than 2/5 of A's, Rs. 20 is more than 2/7 of B's and Rs. 10 is more than 9/17 of C's share, they are equal. Then what is the share of A, B, C respectively.

Five tailors A, B, C, D and E stich 1800 shirts in 90 days working alternatively. Find the minimum possible number of shirts that can be stiched in a single day by working together:

If sum of diagonals of arhombus is m, and parameter is 2P . Find area

If 64 is divided into the ratio of 2: 4: x and smallest part is 10 (2)/(3).Find x.

Let S_1 , S_2 , …. Be squares such that for each n ge 1the length of a side of S_n equals the lengths of a diagonal of S_(n+1) . If the length of a sides of S_1 is 10 cm, then for which of the following values of n is the area of S_n less than 1 square cm ?

A is 40 % more efficient than B. If B can complete this work in 24 days. In how many days will both A and B complete this work ?

If cosectheta-cottheta=q, then cosectheta=?