8677 + Interview Questions in Maths in Class 14 Page 134 InterviewSolution

6651.	A ball is dropped from a height of 96 feet and it rebounds 2/3 of the heights it falls. If it continues to fall and rebound, find the total distance that the ball can travel before coming to rest
Answer» 240ft 360ft 480ft none of these Answer :D

Discussion

6652.	How many liters of pure acid are there in 8 liters of a 20% solution?
Answer» a. 1.4 b. 1.5 c. 1.6 d. 2.4 Answer :A

Discussion

6653.	What is thethe sum of the infinite geometric series 1/4 - 3/(16) + 9/(64) - (27)/(256) + …
Answer» (1/3) (1/4) (1/7) NONE of these Answer :C

Discussion

6654.	A sum of money becomes 13/5 times of itself in 32 years at r% of SI. What is the value of r?
Answer» `6%` `7%` `5%` `18%` ANSWER :C

Discussion

6655.	x^(2) + 4x + k is divided by (x-2) leaves remainder 2x, find k
Answer» ANSWER :`-8`

Discussion

6656.	Which one of the following among the numbers -3/7, 2/3 and (-1)/3 is in descending order?
Answer» `(-1)/3, (-3)/7, 2/3` ` 2/3, (-1)/3, (-3)/7` `(-3)/7, 2/3, (-1)/3` `2/3, (-3)/7, (-1)/3` ANSWER :B

Discussion

6657.	(661xx662xx660)/(17) find R.
Answer» ANSWER :`=11`REMAINDER

Discussion

6658.	Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages as 5:3:2. When 90 men are employed, total daily wages of all amounts to ? 10350. Find the daily wages of a man.
Answer» 1) 45` 2) 57.50` 3)115` 4) 75` ANSWER :D

Discussion

6659.	Find HCF of 3^(3^(333))+1 and 3^(3^(334))+1.
Answer» ANSWER :`+1`

Discussion

6660.	A shopkeeper cheats to the extent of 20% while buying as well as selling, by using false weights. His total gain is
Answer» 20 25 44 34 Answer :C

Discussion

6661.	7^12-4^12 is exactly divisible by which of the following number?
Answer» 34 33 36 35 Answer :B

Discussion

6662.	A is twice as good a workman as B and together they finish a piece of work in 14 days. In how many days can A alone finish the work?
Answer» 18 20 21 24 Answer :C

Discussion

6663.	If sintheta+costheta=x then sintheta-costheta=?
Answer» `pmsqrt(2-x^(2))` `pmsqrt(2+x^(2))` `pmsqrt(4-x^(2))` `pmsqrt(4+x^(2))` ANSWER :B

Discussion

6664.	A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe enpties the tank completely in 6 hours when the inlet pipe is plugged. If both pipes are opened simultaneously at a time when the was one-third filled, when will the tank fill thereafter?
Answer» `(3)/(2)` HOURS `(2)/(3)` HOUR 2 hours `1(2)/(3)` hours . ANSWER :C

Discussion

6665.	A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe enpties the tank completely in 6 hours when the inlet pipe is plugged. If there is a leakage also which is capable of draining out the liquid from the tank at half of the rate of outlet pipe, then bat is the time taken to fill the empty tank when both the pipes are opened?
Answer» 3 hours `3(2)/(3)` hours 4 hours none of these Answer :C

Discussion

6666.	A bath tub can be filled with the cold water pipe in 10 minutes and by hot water pipe in 15 minutes (independently each). A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been opened he now closes it. In 4 minutes more, the bath is full. In what time would be the waste pipe empty it?
Answer» 6 minutes 9 minutes 3 minutes 15 minutes Solution :LET 180 units be the CAPACITY of tub P and Q together can fill tank in `180/(18+12)=6 `min `therefore` we can say, Work done by 'R' in 6 min = work dons by (P&Q) Together in 4 minutes `rArr 6 cdot x = 4 xx (18+12)` `rArr x= 20` `therefore` R is doing 20 units of work in 1 minute `therefore` requires `180/20=9` minutes to empty tank

Discussion

6667.	The product of the digits of a three digit number which is a perfect square and perfect cube both is :
Answer» 126 256 18 None of these ANSWER :A

Discussion

6668.	p^3-9p^2+18p=0 q^3-q^2=0
Answer» `pltq` `pgtq` `pleq` `p=qorp_gt^ltq`

Discussion

6669.	The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........
Answer» `(1)/(2)` 0 `-(1)/(2)` 1 Answer :A::B

Discussion

6670.	A vessel contains some litre of pure milk. 12 litre of milk taken out from it and replaced by water. This process is repeated three times more. Then the ratio of milkand water in the resultant mixture becomes16 : 65. Find the initial quantity of milk.
Answer» ANSWER :36lt

Discussion

6671.	If one root of a quadratic equation is -2. Atx= -5,y=27 andx = 7, y = 27.Then what's the minimum value of the equation?
Answer» 5 0 `-9` NONE of these Answer :C

Discussion

6672.	A two digit number ab is added to another number ba, which is obtained by reversing the digits then we get a three digit number. Thus a + b equals to :
Answer» at LEAST 18 2ab `2(a + B)` `(a + b) ge 10` ANSWER :D

Discussion

6673.	Consider the followingstatements : 1. Any set A is comparable with itself . 2. {0} is a singleton set. 3. {phi}is a n empty set. Of these statements,the correct ones are :
Answer» 1 and 2 2 and 3 1 and 3 1,2 and 3 Answer :a

Discussion

6674.	If a^3+b^3:a^3-b^3=133:117, then find the value of a:b
Answer» 0.085416666666667 0.21111111111111 0.20972222222222 none of these Answer :C

Discussion

6675.	The radius of a coppershpereis 12 cm. The sphere is meltedand drawn into a long wire of uniform circular cross-section. If the length of the wireis 144 cm , the radius of wire is :
Answer» 1 cm 2 cm 4 cm none of these Answer :C

Discussion

6676.	For what value of k, will the equations 2x+3y-5=0, 6x+ky-15=0 have an infinite number of solutions?
Answer» 0 9 2 3 Answer :B

Discussion

6677.	Find the remainder in expression– (4851 xx 1869 xx 4871)/(9)
Answer» 3 6 9 12 Answer :C

Discussion

6678.	What is the least number of terms of the G.P. 5+10 + 20 + …. Whose sum would surely exceed 10^6 ?
Answer» 17 18 19 21 Answer :B

Discussion

6679.	If A+B+C=180^(@), then (tanA+tanB+tanC)/(tanAtanBtanC)=?
Answer» 0 2 1 `-1` ANSWER :A

Discussion

6680.	A manstarted 20 minlateandtravelingat a speedof1 (1)/(2)timesofhisusualspeedreacheshisofficein timesthetimetakenby themanto reaches hisofficein timethe timetakenby themanto reachhisofficeat hisusualspeedis
Answer» 40 MIN 1 h 20 min 1 h 30 min Answer :C

Discussion

6681.	Find the values of the following expression. (cotA+tanB)/(cotB+tanA) is
Answer» TANA cotB cotA tanB 1 none of these Answer :B

Discussion

6682.	In the previous question, if the lock opens in only one arrangement of 4 digits, how many unsuccessful attempts are possible in which lock can not be opened?
Answer» `4^9-1` `9^4-1` `^9C_4` NONE of these Answer :B

Discussion

6683.	In a 1 km race A wins over B by 80 m or 20 sec.B can give a start of 100 m to C in 1 km race find the ratio of speeds of B and C.
Answer» ANSWER :`10/9`

Discussion

6684.	The quadrilateral formed by the bisectors of the angles of a parallelogram is a
Answer» rectangle square parallelogram cyclic quadrilateral Answer :D

Discussion

6685.	Two vessels A and B contains acid of different concentration. The capacity of A and B are 6 lt and 3 lt respectively. We take out same quantity from bothvessels and put into one another , Now the concentrationin both vessels are same. Find the taken out quantity.
Answer» ANSWER :2LT

Discussion

6686.	Around a circular garden a circular road is to be repair which costs ₹22176 at the rate of ₹1 per sq m. If the inner radius is 112 m, find the width of the circular road.
Answer» 18 m 28 m 14 m none of these Answer :B

Discussion

6687.	If three lines 3x+4y=12," "5x+8y=40 and x axis form a triangle. Find its area
Answer» ANSWER :`d=\|(ax_(1)+by_(1)+C)/(sqrt(a^(2)+B^(2)))\|`

Discussion

6688.	If no student failed in all three subjects, what is the total number of students who passed in QA only, DI only and English only?
Answer» 50 30 25 can’t be determined Answer :B

Discussion

6689.	Three cities Fatehpur, Barabanki and Lucknow are famous. Fatehpur is 42 km, away from Barakanki and the distance betweén Fatehpur and Lucknow is 66 km. Which of the following cannot be the distance between Barabanki and Lucknow?
Answer» 28 km 98 km 32 km 24 km Answer :D

Discussion

6690.	Maximum numberof points of intersection of four lines on a plane is :
Answer» 4 6 8 5 Answer :B

Discussion

6691.	From a pack of 52 cards, two are drawn one by one without replacement.Find the probability that both of themare kings.
Answer» `11/21` `13/121` `1/221` `1/121` ANSWER :C

Discussion

6692.	Pepsi and Coke, there are two companies selling the packs of cold-drinks. For the same selling price Pepsi gives two successive discounts of 10% and 25%. While Coke sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?
Answer» `143:144` `19:11` `136:135` `73:77` ANSWER :C

Discussion

6693.	If xcostheta-sintheta=1, then x^(2)+(1+x^(2))sintheta equals-
Answer» `-1` 0 1 2 Answer :A

Discussion

6694.	Find the value of(67)^3
Answer» SOLUTION : `THEREFORE (67)^3 = 300763`

Discussion

6695.	Multiply 23857 by 9999.
Answer» SOLUTION :`23857 XX 9999 xx = 23857 xx (10000 - 1) = 238570000 - 32857 = 238546143`

Discussion

6696.	The smallest number which must be added to 803642 in order to obtain a multiple of 9 is :
Answer» 1 2 3 4 Answer :D

Discussion

6697.	Points A(4,-1) , B(6,0) ,C(7,2) and D(5,1) are the vertices of the following quadrilateral which is a:
Answer» Square Rectangle Rhombus none of (a), (B), ( C) ANSWER :C

Discussion

6698.	Find Unit digit of (823)^(123!)xx(237)^(234!)
Answer» ANSWER :`=1`

Discussion

6699.	If sintheta+sinphi=aandcostheta+cosphi=b, then tan((theta-phi)/(2))=?
Answer» `SQRT((a^(2)+B^(2))/(4-a^(2)-b^(2)))` `sqrt((4-a^(2)-b^(2))/(a^(2)+b^(2)))` `sqrt((a^(2)+b^(2))/(4+a^(2)+b^(2)))` `sqrt((4+a^(2)+b^(2))/(a^(2)+b^(2)))` ANSWER :B

Discussion

6700.	If a,b in R and equalityax^2 - bx + c =0 has complex roots which are reciprocal of each other, then one has :
Answer» a=c `\|b\|le\|c\|` `\|b\|le\|a\|` all of these Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

A ball is dropped from a height of 96 feet and it rebounds 2/3 of the heights it falls. If it continues to fall and rebound, find the total distance that the ball can travel before coming to rest

How many liters of pure acid are there in 8 liters of a 20% solution?

What is thethe sum of the infinite geometric series 1/4 - 3/(16) + 9/(64) - (27)/(256) + …

A sum of money becomes 13/5 times of itself in 32 years at r% of SI. What is the value of r?

x^(2) + 4x + k is divided by (x-2) leaves remainder 2x, find k

Which one of the following among the numbers -3/7, 2/3 and (-1)/3 is in descending order?

(661xx662xx660)/(17) find R.

Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages as 5:3:2. When 90 men are employed, total daily wages of all amounts to ? 10350. Find the daily wages of a man.

Find HCF of 3^(3^(333))+1 and 3^(3^(334))+1.

A shopkeeper cheats to the extent of 20% while buying as well as selling, by using false weights. His total gain is

7^12-4^12 is exactly divisible by which of the following number?

A is twice as good a workman as B and together they finish a piece of work in 14 days. In how many days can A alone finish the work?

If sintheta+costheta=x then sintheta-costheta=?

The product of the digits of a three digit number which is a perfect square and perfect cube both is :

p^3-9p^2+18p=0 q^3-q^2=0

The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........

A vessel contains some litre of pure milk. 12 litre of milk taken out from it and replaced by water. This process is repeated three times more. Then the ratio of milkand water in the resultant mixture becomes16 : 65. Find the initial quantity of milk.

If one root of a quadratic equation is -2. Atx= -5,y=27 andx = 7, y = 27.Then what's the minimum value of the equation?

A two digit number ab is added to another number ba, which is obtained by reversing the digits then we get a three digit number. Thus a + b equals to :

Consider the followingstatements : 1. Any set A is comparable with itself . 2. {0} is a singleton set. 3. {phi}is a n empty set. Of these statements,the correct ones are :

If a^3+b^3:a^3-b^3=133:117, then find the value of a:b

The radius of a coppershpereis 12 cm. The sphere is meltedand drawn into a long wire of uniform circular cross-section. If the length of the wireis 144 cm , the radius of wire is :

For what value of k, will the equations 2x+3y-5=0, 6x+ky-15=0 have an infinite number of solutions?

Find the remainder in expression– (4851 xx 1869 xx 4871)/(9)

What is the least number of terms of the G.P. 5+10 + 20 + …. Whose sum would surely exceed 10^6 ?

If A+B+C=180^(@), then (tanA+tanB+tanC)/(tanAtanBtanC)=?

A manstarted 20 minlateandtravelingat a speedof1 (1)/(2)timesofhisusualspeedreacheshisofficein timesthetimetakenby themanto reaches hisofficein timethe timetakenby themanto reachhisofficeat hisusualspeedis

Find the values of the following expression. (cotA+tanB)/(cotB+tanA) is

In the previous question, if the lock opens in only one arrangement of 4 digits, how many unsuccessful attempts are possible in which lock can not be opened?

In a 1 km race A wins over B by 80 m or 20 sec.B can give a start of 100 m to C in 1 km race find the ratio of speeds of B and C.

The quadrilateral formed by the bisectors of the angles of a parallelogram is a

Two vessels A and B contains acid of different concentration. The capacity of A and B are 6 lt and 3 lt respectively. We take out same quantity from bothvessels and put into one another , Now the concentrationin both vessels are same. Find the taken out quantity.

Around a circular garden a circular road is to be repair which costs ₹22176 at the rate of ₹1 per sq m. If the inner radius is 112 m, find the width of the circular road.

If three lines 3x+4y=12," "5x+8y=40 and x axis form a triangle. Find its area

If no student failed in all three subjects, what is the total number of students who passed in QA only, DI only and English only?

Three cities Fatehpur, Barabanki and Lucknow are famous. Fatehpur is 42 km, away from Barakanki and the distance betweén Fatehpur and Lucknow is 66 km. Which of the following cannot be the distance between Barabanki and Lucknow?

Maximum numberof points of intersection of four lines on a plane is :

From a pack of 52 cards, two are drawn one by one without replacement.Find the probability that both of themare kings.

Pepsi and Coke, there are two companies selling the packs of cold-drinks. For the same selling price Pepsi gives two successive discounts of 10% and 25%. While Coke sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?

If xcostheta-sintheta=1, then x^(2)+(1+x^(2))sintheta equals-

Find the value of(67)^3

Multiply 23857 by 9999.

The smallest number which must be added to 803642 in order to obtain a multiple of 9 is :

Points A(4,-1) , B(6,0) ,C(7,2) and D(5,1) are the vertices of the following quadrilateral which is a:

Find Unit digit of (823)^(123!)xx(237)^(234!)

If sintheta+sinphi=aandcostheta+cosphi=b, then tan((theta-phi)/(2))=?

If a,b in R and equalityax^2 - bx + c =0 has complex roots which are reciprocal of each other, then one has :