8677 + Interview Questions in Maths in Class 14 Page 94 InterviewSolution

4651.	When an article is sold for ₹ 703 loss incurred is25% less than the profit earned on selling it at ₹ 836. What is the selling price of the article when it earns a profit of 20%?
Answer» 912 1576 1532 1092 Answer :A

Discussion

4652.	If a= 5.431, b= 2.121 & c= -7.552 find a^(3) +b^(3) + c^(3) + 3abc= ?
Answer» 6ab 6ABC 1 0 Answer :6abc

Discussion

4653.	ABC is a triangleand D,E,F are the mid-points of the sides BC,CA, AB respectively . The ratio of the areas of DeltaABC and DeltaDEF is :
Answer» `4:1` `5:1` `3:1` can't be DETERMINED ANSWER :A

Discussion

4654.	When (55)_(10) represented in base 25 then the expression is
Answer» `(25)_(25)` `(35)_(25)` `(55)_(25)` NONE of these Answer :A

Discussion

4655.	P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B P(S(D(7, 3), P(2, 3)), P(6, 5))) is equal to:
Answer» 120 60 30 none of these Answer :A

Discussion

4656.	The number of days required by A, B and C to work individually is 6, 12 and 8 respectively. They started a work doing it alternatively. If A has started then followed by B and so on, how many days are needed to complete the whole work?In theabove question if the order of working days be as B,C,A,B,C,A…(starting with B and followed by C and A respectively), then in how many days the work will he completed?
Answer» `7 3/4` 8 `8 1/4` 9 Answer :C

Discussion

4657.	Shweta when increases her speed from 24km/h to 30 km/h she takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by shweta?
Answer» 160 km 240 km 120 km 90 km Answer :C

Discussion

4658.	if sides of triangle are givenas 3, 4, 5 respectively.Find circumradius of the triangle.
Answer»

Discussion

4659.	A sum was put at simple interest at a certain rate for 4 years. Had it been put at 2% higher rate, it would have fetched Rs. 56 more. Find the sum.
Answer» ANSWER :RS 700

Discussion

4660.	Study the following graph carefully and answer the questions given below In which of the following years, was the percentage production of B type to C type the maximum?
Answer» 2008 2009 2010 2007 Answer :B

Discussion

4661.	If x-(1)/(x)=1, then the value of (x^(4)-(1)/(x^(2)))/(3x^(2)+5x-3) is
Answer» `(1)/(4)` `(1)/(2)` `(3)/(4)` 0 Answer :B

Discussion

4662.	A clock is started at 12 o'clock noon. By 10 minutes past 5, the hour hand has turned through
Answer» a. 145 degree B. 150 degree c. 155 degree d. 160 degree Answer :B

Discussion

4663.	When 12 dozens of articles bought at 180 and are sold at 16.50 per doze, the gain percent is ?
Answer» ANSWER :0.1

Discussion

4664.	If alpha is in first quadrant such that tan^(2)alpha=(8)/(7), then the value of ((1+sinalpha)(1-sinalpha))/((1+cosalpha)(1-cosalpha))
Answer» `(7)/(8)` `(8)/(7)` `(7)/(4)` `(64)/(49)` Answer :A

Discussion

4665.	What is the sum of amount which gives Rs. 6300 as interest @7% per annum of simple interest is 7 1/2 years ?
Answer» 36000 24000 63000 12000 Answer :D

Discussion

4666.	Vinay and Varsha run a race with their speeds in the ratio of 5:3 they prefer to run on a circular track of circumfrence 1.5 km.what is the distance covered by Vinay when he passes Varsha for the seventh time?
Answer» 25.25 km 26.25 km 132 m none of these Answer :B

Discussion

4667.	Study the following graph carefully and answer the questions that follow The number of females passedout from collegeC is approximately what percentof the totalnumber of females passed out from all the colleges together ?
Answer» 28 30 36 25 Answer :B

Discussion

4668.	The value of theta(0le theta le pi//2) stisfying the equation sin^(2)theta-2costheta+(1)/(4)=0 is :
Answer» `(PI)/(2)` `(pi)/(3)` `(pi)/(4)` `(pi)/(6)` ANSWER :B

Discussion

4669.	Solve: 6x^(2)+40=31x.
Answer» `3/8,2/5` `3/8,3/2` `0,8/3` `8/3,5/2` ANSWER :D

Discussion

4670.	Find max^(m)&min^(m) value of sin^(3)theta.cos^(3)theta
Answer» ANSWER :`(-1)/(8)`

Discussion

4671.	Simplify: (x^2)^(n-1) + (y^2)^(n-1) (x^2)^(n-1) - (y^2)^(n-1)
Answer» `(x^2)^N - (y^2)^n` `x^2n - y^2n` `(x^n - y^n)+(x^ny^n)` `(x^2 - y^2)^(n-1)` ANSWER :A

Discussion

4672.	Consider four circles (x+-1)^2+(y+-1)^2=1. Find the equation of larger circle touching these four circles.
Answer» `x^2+y^2=(sqrt2+1)^2` `x^2+y^2=(sqrt2-1)^2` `x^2+y^2=(2-sqrt2)^2` NONE of these Answer :A

Discussion

4673.	For any natural number p and q(i)p#q=p3+q3+3andp∗q=p2+q2+2 andp$q=\|p−q\|(ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q) .The value of [Max (2,4)$ "Min" (6,8)] # [ "Min" (10,12) $ Max (14,16)]
Answer» a.`227` B. `225` c. `224` d. None of these ANSWER :A

Discussion

4674.	2 men or 3 women or 4 boys can do a work in 52 days. Then in how many days will 1 man, 1 women and 1 boy do the work?
Answer» ANSWER :48

Discussion

4675.	Let p be a prime number such that 3 lt p lt 50, then p^2-1 is:
Answer» `p=q/r` `p=q^(1//3)NER^(2//3)` `p=q=r=0` NONE of these Answer :C

Discussion

4676.	2x^2+5x-3gt0
Answer» `(-oo,-3]UU(1/2,oo)` `(-oo,-3[uu[2,oo]` `R-[-3,1/2]` `R-(-3,1/2)` ANSWER :C

Discussion

4677.	A started a work and left after working for 4 days, then B was called and he finished the work in 18 days. If A left the work after working for 6 days then B would have finished the remaining work in 12 days. In how many days can each of them, working alone finish the whole work?
Answer» Answer :`A to 20 ` DAYS, `B to 30` day

Discussion

4678.	If cos e ctheta-sintheta=ma n dsectheta-costheta=n ,prove that (m^(2n))^(2/3)+(m m^2)^(2/3)=1
Answer» `-1` 0 1 2 Answer :C

Discussion

4679.	In a Business school we have found that every two student share the book of 'Organisation Behaviour' between them. Every 3 student shared among them the book of Financial Management and every four students used to share Operation Research's book from the library. But it is well known that there were only 91 books of the above mentioned topics. The number of students in the school was:
Answer» 81 84 48 Can't be DETERMINED ANSWER :B

Discussion

4680.	If a^(3-x) . b^(5x) = a^(x+5)b^(3x), then the value of x log (b/a) is:
Answer» LOG a log b log x 1 Answer :A

Discussion

4681.	If n^2 = 123454321, then the value of n is :
Answer» 1001 not a NATURAL number 111111 none of these Answer :D

Discussion

4682.	The point in the plane of a triangle which is at equal perpendicular distance from the sides of the triangle is :
Answer» centroid incentre circumcenre orthocentre Answer :B

Discussion

4683.	A large solid sphere is melted and moulded to form identical right circular cones with base radius and height same as the radius of the sphere. One of these cones is melted and moulded to form a smaller solid sphere. Find the ratio of the surface area of the smaller sphere to the surface are of the larger sphere.
Answer» `1:3^(4//3)` `1:2^(3//2)` `1:3^(2//3)` `1:2^(4//3)` ANSWER :D

Discussion

4684.	Time period (T) of pendulum is directly proportional to the square root of length of string by which bob is attached to a fixed point and inversely proportional to the square root of gravitational constant 'g'. Time period of a bob is 3 seconds when the gravitational constant g is 4 m/sec^2 and length of string is 9 metre, what is the time period of a bob having a string length of 64 metre and gravitational constant g is 16 m/sec^2?
Answer» 4 seconds 12 seconds 16 seconds 10 seconds Answer :A

Discussion

4685.	Ify = a^(1/(1-log_(a) x)) and z = a^(1/(1-log_(a)y))",then prove that "x=a^(1/(1-log_(a)z))
Answer» `1+logyz` `1/(1-log_az)` `a^((1/(1-log_ax))` `y/z` ANSWER :C

Discussion

4686.	The average marks of 140 students are 45 . If the average of passed students was 42 and failed students was 20 , then find the number of students who have passed .
Answer» 124.5 159.09 1600/11 cannot be determined Answer :D

Discussion

4687.	cos^(2)(A-B)+cos^(2)B-2cos(A-B).cosA.cosB=?
Answer» `cos^(2)A` `sin^(2)A` `TAN^(2)A` `COT^(2)A` Answer :B

Discussion

4688.	Answer the following questions based on the information given below. In a medical college examination, where Munnabhai is pursuing an MBBS degree, a group of students are found cheating in the exam hall. The ticket numbers of the students who are found cheating are the consecutive positive integers and their sum is 600. Out of the students who are found cheating in the exam, if Munnabhai and his best friend Curkit are siting closely such that their ticket numbers are consecutive numbers and half of the remaining students ticket numbers are below the ticket numbers of Munnabhai and Curkit and half of that are above the ticket numbers of Munnabhai and Curkit, what could be the possible ticket number of Munnabhai?
Answer» (a) 41 years (B) 45 years (c) 48 years (d) 53 years Answer :A

Discussion

4689.	Find the value of sin75^(@).
Answer» `(2-sqrt(3))/(2)` `(sqrt(3)+1)/(2sqrt(2))` `(sqrt(3)-1)/(-2sqrt(2))` `(sqrt(3)-1)/(2sqrt(2))` ANSWER :A::B::C

Discussion

4690.	The value of a^3+b^3+c^3-3abc, when a =87, b = -126 and c=39 is :
Answer» 0 1259 -48 none of these Solution :a+b+c=0 `THEREFORE a^3+b^3+c^3-3abc=0`

Discussion

4691.	Check whether 377910 is divisible by 13.
Answer»

Discussion

4692.	The table shows the number of students from different schools playing different games. Study the table carefully and answer the questions.{:("GamesSchools"),("ABCD"),("Cricket125250150 175"),("Football175200 250125"),("Hockey75125200 150"):}If the data about the number of students who play hockey from different school is represented by a pir-chart, what is the central angle of the sector representing students who play hockey from school C to the nearest whole number ?
Answer» `80^(@)` `131^(@)` `102^(@)` `95^(@)`

Discussion

4693.	A trader uses a weight of 920 g instead of 1 kg and sells the articles at the marked price which is 15% above the cost price. Find the profit percentage,
Answer» `20%` `23%` `25%` can't be determined Answer :C

Discussion

4694.	The table shows the number of students from different schools playing different games. Study the table carefully and answer the questions.{:("GamesSchools"),("ABCD"),("Cricket125250150 175"),("Football175200 250125"),("Hockey75125200 150"):}The number of students who play football in school A is approximately what percent of the football playing students from all schools ?
Answer» `19.4` `19.7` `19.9` 23.33

Discussion

4695.	What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7?
Answer» a) 37 b) 36 C) 39 d) 30 Answer :C

Discussion

4696.	A quadratic equation has double root, then
Answer» the two ROOTS LIE on the different sides of the axis the quadratic equation cannot be expressed in the form of a PERFECT square. the PRODUCT of the roots is ALWAYS negative. the sum of the roots may be positive or negative. Answer :D

Discussion

4697.	Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?
Answer» a. 4:8 b. 3:9 C. 7:9 d. 5:6 Answer :C

Discussion

4698.	The table shows the number of students from different schools playing different games. Study the table carefully and answer the questions.{:("GamesSchools"),("ABCD"),("Cricket125250150 175"),("Football175200 250125"),("Hockey75125200 150"):}What is the ratio of the total students who play cricket in schools A and B together to the total students who play hockey in schools D and B together ?
Answer» `15:13` `15:11` `16:11` `16:13`

Discussion

4699.	If the integers m and n are chosen at random between 1 and 100, then atmost distinct numbers of the form 7^m + 7^n is divisible by 5 equals to :
Answer» 1250 10000 2500 none of these Answer :A

Discussion

4700.	A circular wire of radius 4.2 m is cut and bent in the form of a rectangle whose longer side is 20% more than itsshorter side . The longerside of the rectangle is :
Answer» 7.2 m 72 m 8 m none of these Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

When an article is sold for ₹ 703 loss incurred is25% less than the profit earned on selling it at ₹ 836. What is the selling price of the article when it earns a profit of 20%?

If a= 5.431, b= 2.121 & c= -7.552 find a^(3) +b^(3) + c^(3) + 3abc= ?

ABC is a triangleand D,E,F are the mid-points of the sides BC,CA, AB respectively . The ratio of the areas of DeltaABC and DeltaDEF is :

When (55)_(10) represented in base 25 then the expression is

P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B P(S(D(7, 3), P(2, 3)), P(6, 5))) is equal to:

Shweta when increases her speed from 24km/h to 30 km/h she takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by shweta?

if sides of triangle are givenas 3, 4, 5 respectively.Find circumradius of the triangle.

A sum was put at simple interest at a certain rate for 4 years. Had it been put at 2% higher rate, it would have fetched Rs. 56 more. Find the sum.

Study the following graph carefully and answer the questions given below In which of the following years, was the percentage production of B type to C type the maximum?

If x-(1)/(x)=1, then the value of (x^(4)-(1)/(x^(2)))/(3x^(2)+5x-3) is

A clock is started at 12 o'clock noon. By 10 minutes past 5, the hour hand has turned through

When 12 dozens of articles bought at 180 and are sold at 16.50 per doze, the gain percent is ?

If alpha is in first quadrant such that tan^(2)alpha=(8)/(7), then the value of ((1+sinalpha)(1-sinalpha))/((1+cosalpha)(1-cosalpha))

What is the sum of amount which gives Rs. 6300 as interest @7% per annum of simple interest is 7 1/2 years ?

Vinay and Varsha run a race with their speeds in the ratio of 5:3 they prefer to run on a circular track of circumfrence 1.5 km.what is the distance covered by Vinay when he passes Varsha for the seventh time?

Study the following graph carefully and answer the questions that follow The number of females passedout from collegeC is approximately what percentof the totalnumber of females passed out from all the colleges together ?

The value of theta(0le theta le pi//2) stisfying the equation sin^(2)theta-2costheta+(1)/(4)=0 is :

Solve: 6x^(2)+40=31x.

Find max^(m)&min^(m) value of sin^(3)theta.cos^(3)theta

Simplify: (x^2)^(n-1) + (y^2)^(n-1) (x^2)^(n-1) - (y^2)^(n-1)

Consider four circles (x+-1)^2+(y+-1)^2=1. Find the equation of larger circle touching these four circles.

For any natural number p and q(i)p#q=p3+q3+3andp∗q=p2+q2+2 andp$q=|p−q|(ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q) .The value of [Max (2,4)$ "Min" (6,8)] # [ "Min" (10,12) $ Max (14,16)]

2 men or 3 women or 4 boys can do a work in 52 days. Then in how many days will 1 man, 1 women and 1 boy do the work?

Let p be a prime number such that 3 lt p lt 50, then p^2-1 is:

2x^2+5x-3gt0

A started a work and left after working for 4 days, then B was called and he finished the work in 18 days. If A left the work after working for 6 days then B would have finished the remaining work in 12 days. In how many days can each of them, working alone finish the whole work?

If cos e ctheta-sintheta=ma n dsectheta-costheta=n ,prove that (m^(2n))^(2/3)+(m m^2)^(2/3)=1

If a^(3-x) . b^(5x) = a^(x+5)b^(3x), then the value of x log (b/a) is:

If n^2 = 123454321, then the value of n is :

The point in the plane of a triangle which is at equal perpendicular distance from the sides of the triangle is :

Ify = a^(1/(1-log_(a) x)) and z = a^(1/(1-log_(a)y))",then prove that "x=a^(1/(1-log_(a)z))

The average marks of 140 students are 45 . If the average of passed students was 42 and failed students was 20 , then find the number of students who have passed .

cos^(2)(A-B)+cos^(2)B-2cos(A-B).cosA.cosB=?

Find the value of sin75^(@).

The value of a^3+b^3+c^3-3abc, when a =87, b = -126 and c=39 is :

Check whether 377910 is divisible by 13.

A trader uses a weight of 920 g instead of 1 kg and sells the articles at the marked price which is 15% above the cost price. Find the profit percentage,

What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7?

A quadratic equation has double root, then

Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?

If the integers m and n are chosen at random between 1 and 100, then atmost distinct numbers of the form 7^m + 7^n is divisible by 5 equals to :

A circular wire of radius 4.2 m is cut and bent in the form of a rectangle whose longer side is 20% more than itsshorter side . The longerside of the rectangle is :