8677 + Interview Questions in Maths in Class 14 Page 18 InterviewSolution

851.	If the work done by (x – 1) men in (x + 1) days and the work done by (x + 2) men in (x – 1) days is in the ratioof 9 : 10, then x is equal to .
Answer» 5 6 7 8 Answer :D

Discussion

852.	If A+B=135^(@), then (1+cotA)(1+cotB)=?
Answer» (a)1 (B)2 (C)3 (d)4 Answer :B

Discussion

853.	The perimeter of the triangular base of a right prism is 15 cm and radius of the incircle of the triangular base is 3 cm. If the volume of the prism be 270cm^(3), then the height of the prism is –
Answer» 6 cm 7.5 cm 10 cm 12 cm Answer :D

Discussion

854.	Find the area of Delta whose length of median are 3,4,5
Answer» ANSWER :6 SQ. UNITS , 8 sq. units

Discussion

855.	Find the number of integral solutions of the equation x_1x_2x_3x_4 = 462.
Answer» A) 2048 B) 256 C) 24 D) 1024 Answer :A

Discussion

856.	Efficiency of Q is two times more than efficiency of P. Both started working alternatively, starting with Q and completed the work in total 35 days. If R alone complete the same work in 48 days then find in how many days P and R together will complete the work?
Answer» 24 days 28 days 36 days 27 days Solution :Lets dfficiency of P is X unit/ day and Q's efficiency is 3x unit/day So, Q WORK for 18 days and P work for 17 days ATQ- Total work `=18 XX 3x=17xx x=71x` Efficiency of `R = (71x)/48 = 1.47x =1.5 x ` unit/ day (P + R) together `=(71x)/(x+1.5x) = 28` days (approx)

Discussion

857.	Rahul borrowed some money at the rate of 6% p.a. for the first three years , 9% p.a. for the next years five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160 , the money borrowed by him ( in Rs. ) was
Answer» ANSWER :RS. 8000

Discussion

858.	Find the unit digit of the expression. 888^(9235!) + 222^(9235!) + 666^(2359!) + 999^(9999!).
Answer» ANSWER :9

Discussion

859.	Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, ... 10). Then the probability that \|x - y ।> 5 is:
Answer» `7/11` `40/121` `35/121` `30/121` ANSWER :D

Discussion

860.	40 men can build a wall 20 m high in 15 days. The number of men required to build a similar wall 25 m high in 6 days will be:
Answer» 100 125 150 200 Answer :B

Discussion

861.	Let ABCD be a quadrilateral with area 18, with side AB parallel to the side CD and AB = 2CD. Let AD be perpendicular to AB and CD. If a circle is drawn insude the quadrilateral ABCD touching all the four sides, then its radius is :
Answer» a. 8000 B. 8300 c. 8388.8 d. 8500.5 Answer :B

Discussion

862.	If the two roots are real, equal and irrational, then which of the following is the most appropriate one?
Answer» `DGT0` `DLT0` `Dle0` dosen't exist Answer :D

Discussion

863.	Mr. Bajaj invested 1/7of his total investment at 4% and 1/2at 5% and rest at 6% for the one year and received total interest of ₹ 730. What is the total sum invested?
Answer» ₹ 70000 ₹ 14000 ₹ 24000 ₹ 38000 Answer :B

Discussion

864.	If A+C=B, then tan A tan B tan C = ?
Answer» `tanAtanB-tanC` `tanB-tanC-tanA` `tanA+tanB-tanC` `-tanAtanB+tanC` ANSWER :A::C

Discussion

865.	If sin^(2)alpha+cos^(2)beta=2, then find sin((2alpha+beta)/(3)).
Answer» `SIN""(alpha)/(3)` `cos""(2ALPHA)/(3)` `cos""(alpha)/(3)` none of these Answer :A::C

Discussion

866.	Consider the sets T(n)={n, n+3, n+5, n+7, n+9} where n=1,2,3,.....,99. How many of these sets contain 5 or any integral multiple there of (i.e. any one of the numbers 5, 10, 15, 20, 25, ...) ?
Answer» 81 79 80 none Answer :B

Discussion

867.	What is the sum of all the angles of a 9 pointed star ("i.e., "angle1 + angle2 + angle3 + ….. angle8 + angle9)
Answer» `909^@` `900^@` `720^@` `540^@` ANSWER :B

Discussion

868.	The smallest number which when divided by 5 , 10 , 12 and 15 leaves remainder 2 in each case , but when divided by 7 leaves no remainder , is
Answer» 189 182 175 91 Answer :B

Discussion

869.	Given x+y= 2z, then (x)/(x-z) + (z)/(y-z) =?
Answer» 1 2 3 4 Answer :A

Discussion

870.	If (x+k) is a common factor of (x^(2)+px+q) are (x^(2)+lx+m), then the value of k is :
Answer» `l+p` `m-q` `(l-p)/(m-q)` `(m-q)/(l-p)` ANSWER :D

Discussion

871.	A 110 m long train is running at a speed of 60 km/h. How many seconds, does it take to cross an another train of length 170 m, which is standing on parallel track?
Answer» 15.6s 16.8s 17.2s 18s Answer :B

Discussion

872.	A trader has a faulty balance that displays 25% more weight than what it should weigh. If he sells his goods at the cost price using his faulty balance, what is his profit per cent?
Answer» 25 20 33.33 none Answer :A

Discussion

873.	Solve the following expressions. (36)^(1/6)
Answer» SOLUTION :`6^(2 XX 1/6) = 6^(1/3)`

Discussion

874.	If x^y = y^x and y = 2x , then x is equal to :
Answer» 2 -2 1 -1 Answer :A

Discussion

875.	A number is such that when it is multiplied by 8, it gives another number which is as much above from 270 as the original number itself is below 270. The average of the original numberand 270 is : ?
Answer» 165 185 135 none of these Answer :A

Discussion

876.	If the roots of ax^(2)+bx+c=0 are of the form (m)/(m-1) and (m+1)/(m), then the value of (a+b+c)^(2) is
Answer» `B^2-2ab` `b^2-4ac` `2b^2-ac` `4b^22ac` ANSWER :B

Discussion

877.	Let alpha, beta be two real numbers satisfying the following relations alpha^(2)+beta^(2)=5,3(alpha^(5)+beta^(5))=11(alpha^(3)+beta^(3)) Quadratic equation having roots alpha and beta is
Answer» `(p^3+q)X^2-(p^3+2q)x+(p^3+q)=0` `(p^3+q)x^2-(p^3-2q)x+(p^3+q)=0` `(p^3-q)x^2-(5p^3-2q)x+(p^3-q)=0` `(p^3-q)x^2-(5p^3+2q)x+(p^3-q)=0` ANSWER :B

Discussion

878.	There are two quadratic equations E_1 and E_2 Each root ofE_1 is four times to that ofE_2, and the minimum of E_1 will be m times to-that of E_2Then m is
Answer» 0 2 16 Cannot be DETERMINED uniquely Answer :D

Discussion

879.	What is the mean proportional between(15 + V200) and (27 - V648)?
Answer» 4 14 V 7 3 V 5 3 V 5 Answer :C

Discussion

880.	If the length of a chord of a circle , which makes a angle 45^@ with the tangent drawn at one end point of the chord , is 6 cm , then the radius of the circle is :
Answer» `6 sqrt2` CM 5 cm `3 sqrt2` cm 6 cm ANSWER :C

Discussion

881.	The following sequence is given below: 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,…. etc. The sum of the 1st, 2nd , 4th , 7th , 11th , 16th , ..211 th term is :
Answer» 221 400 231 211 Answer :C

Discussion

882.	A group of men decided to do a work in 10 days, but 5 of them become absent. if the rest of the group did the work in 12 days, find the original number of men?
Answer» 20 25 30 35 Answer :30

Discussion

883.	0.08bar9 xx 100
Answer»

Discussion

884.	In what ratio should freely available water be mixed with the wine worth rs 60 per litre so that after selling the mixture at rs 50 per litre, the profit will be 25%?
Answer» 1:2 2:3 3:4 4:5 Answer :A

Discussion

885.	A salesman gets commission on total sales at 9% . If the sale is exceeded ₹ 10000 he gets an additional commission as bonus of 3% on the excess sales over ₹10,000. If he gets total commission of ₹ 1380 , then the bonus he received is :
Answer» ₹ 180 ₹120 ₹480 DATA insufficient Answer :B

Discussion

886.	Directions (Q. Nos. 6-10) Items Study the two figures given below and answer the five items that follow. If the number of female Physics professors in the age group 25-34equals 25%of all the Physics pro- fessors in that age group, then what is the number of male Physics professors in the age group 25-34 ?
Answer» a.9 b.6 c.3 d.2 Answer :A

Discussion

887.	If m+ (1)/(m-2)=4, find (m-2)^(111) + (1)/((m-2)^(111))=?
Answer» ANSWER :2

Discussion

888.	Study the following table carefully and answer the questions given below:Number (N) of Candidates (In lakhs) Appearing for An Entrance Examination from six different States and The percentage (P) of candidates clearing the Same over the years.STATE → A B C D E FYEAR ↓ N P N P N P N P N P N P2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 312005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 242006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 262007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 292008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 342009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37
Answer» 2008 2006 2009 2007 Answer :C

Discussion

889.	Two pipes A and B can fill a cistern in 15 hours and ’10 hours respectively. A tape can empty the full cistern in 30 hours. All the three taps were open for 2 hours, when it was remembered that the emptying tap had been left open. It was then closed. How many hours more would it take for the cistern to be filled?
Answer» 4 HR 30 min 1.2 hours 4 hr 24 min 3 hr 35 min Answer :C

Discussion

890.	The sum of the squares of two consecutive positive odd numbers is 290. Find the sum of the numbers :
Answer» 14 24 28 none Answer :B

Discussion

891.	Which of the following function is an even function ?
Answer» `f(x)=(a^(x)+1)/(a^(x)-1)` `f(x)=(a^(x)-a^(-x))/(a^(x)+a^(-x))` `f(x)=x(a^(x)+1)/(a^(x)-1)` `f(x)=SINX` ANSWER :C

Discussion

892.	Find the x, if x^2 + x = x^3 - x :
Answer» 1 2 3 4 Answer :B

Discussion

893.	If (sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b))=sqrt(3), then a : b is equal to
Answer» `2 : SQRT(3)` `sqrt(3) : 4` `sqrt(3) : 2` `4 : sqrt(3)` ANSWER :D

Discussion

894.	For any real numbers a, b and c the equationsax^2+bx+c=0 andbx^2+cx+a=0 have a common root,
Answer» ABC = 1 `a+B+C=0` a = b = c `a^3+b^3+c^3=3` abc Answer :A

Discussion

895.	The real numbers x_1, x_2, x_3satisfying the equation x^3-x^2+b x+gamma=0ar ein A.P. Find the intervals in which betaa n dgammalie.
Answer» `(-OO,1//3][-1//27,oo)` `(-oo,3)` `(-1//3,1//3)(-1//27,1//27)` NONE of these Answer :A

Discussion

896.	Find the number of numbers lying between 1 and 1000 which are divisible by each of 6,7 and 15.
Answer» Solution :The LEAST possible number which is divisible by 6, 7, and 15 = LCM of 6, 7 , 15 = 210 So, the first such number is 210 and the other numbers are the multiples of 210 i.e. , 210, 420, 630, 840. THUS there are total4 numbers LYING between 1 and 1000 which are divisible by 6, 7 and 15 .

Discussion

897.	If f(x)=root3(1-x^2)+root3(1+x^2), then f(x) is :
Answer» an EVEN function an ODD function constant function none of these Answer :A

Discussion

898.	Two trains, of same length are running in parallel tracks in opposite directions with speeds 65 km/h and 85 km/h respectively. They cross each other in 6 s. The length of each train is
Answer» 100m 115m 125m 150m Answer :C

Discussion

899.	((37)^(100))/(7)find R.
Answer» ANSWER :`=2`

Discussion

900.	If (a +b) : (b +c) : (c +a) ::6:7:8 & a+b+c= 14 then find c=?
Answer» 4 6 8 7 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

If the work done by (x – 1) men in (x + 1) days and the work done by (x + 2) men in (x – 1) days is in the ratioof 9 : 10, then x is equal to .

If A+B=135^(@), then (1+cotA)(1+cotB)=?

The perimeter of the triangular base of a right prism is 15 cm and radius of the incircle of the triangular base is 3 cm. If the volume of the prism be 270cm^(3), then the height of the prism is –

Find the area of Delta whose length of median are 3,4,5

Find the number of integral solutions of the equation x_1x_2x_3x_4 = 462.

Efficiency of Q is two times more than efficiency of P. Both started working alternatively, starting with Q and completed the work in total 35 days. If R alone complete the same work in 48 days then find in how many days P and R together will complete the work?

Rahul borrowed some money at the rate of 6% p.a. for the first three years , 9% p.a. for the next years five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160 , the money borrowed by him ( in Rs. ) was

Find the unit digit of the expression. 888^(9235!) + 222^(9235!) + 666^(2359!) + 999^(9999!).

Two integers x and y are chosen with replacement out of the set {0, 1, 2, 3, ... 10). Then the probability that |x - y ।> 5 is:

40 men can build a wall 20 m high in 15 days. The number of men required to build a similar wall 25 m high in 6 days will be:

Let ABCD be a quadrilateral with area 18, with side AB parallel to the side CD and AB = 2CD. Let AD be perpendicular to AB and CD. If a circle is drawn insude the quadrilateral ABCD touching all the four sides, then its radius is :

If the two roots are real, equal and irrational, then which of the following is the most appropriate one?

Mr. Bajaj invested 1/7of his total investment at 4% and 1/2at 5% and rest at 6% for the one year and received total interest of ₹ 730. What is the total sum invested?

If A+C=B, then tan A tan B tan C = ?

If sin^(2)alpha+cos^(2)beta=2, then find sin((2alpha+beta)/(3)).

Consider the sets T(n)={n, n+3, n+5, n+7, n+9} where n=1,2,3,.....,99. How many of these sets contain 5 or any integral multiple there of (i.e. any one of the numbers 5, 10, 15, 20, 25, ...) ?

What is the sum of all the angles of a 9 pointed star ("i.e., "angle1 + angle2 + angle3 + ….. angle8 + angle9)

The smallest number which when divided by 5 , 10 , 12 and 15 leaves remainder 2 in each case , but when divided by 7 leaves no remainder , is

Given x+y= 2z, then (x)/(x-z) + (z)/(y-z) =?

If (x+k) is a common factor of (x^(2)+px+q) are (x^(2)+lx+m), then the value of k is :

A 110 m long train is running at a speed of 60 km/h. How many seconds, does it take to cross an another train of length 170 m, which is standing on parallel track?

A trader has a faulty balance that displays 25% more weight than what it should weigh. If he sells his goods at the cost price using his faulty balance, what is his profit per cent?

Solve the following expressions. (36)^(1/6)

If x^y = y^x and y = 2x , then x is equal to :

A number is such that when it is multiplied by 8, it gives another number which is as much above from 270 as the original number itself is below 270. The average of the original numberand 270 is : ?

If the roots of ax^(2)+bx+c=0 are of the form (m)/(m-1) and (m+1)/(m), then the value of (a+b+c)^(2) is

Let alpha, beta be two real numbers satisfying the following relations alpha^(2)+beta^(2)=5,3(alpha^(5)+beta^(5))=11(alpha^(3)+beta^(3)) Quadratic equation having roots alpha and beta is

There are two quadratic equations E_1 and E_2 Each root ofE_1 is four times to that ofE_2, and the minimum of E_1 will be m times to-that of E_2Then m is

What is the mean proportional between(15 + V200) and (27 - V648)?

If the length of a chord of a circle , which makes a angle 45^@ with the tangent drawn at one end point of the chord , is 6 cm , then the radius of the circle is :

The following sequence is given below: 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,…. etc. The sum of the 1st, 2nd , 4th , 7th , 11th , 16th , ..211 th term is :

A group of men decided to do a work in 10 days, but 5 of them become absent. if the rest of the group did the work in 12 days, find the original number of men?

0.08bar9 xx 100

In what ratio should freely available water be mixed with the wine worth rs 60 per litre so that after selling the mixture at rs 50 per litre, the profit will be 25%?

A salesman gets commission on total sales at 9% . If the sale is exceeded ₹ 10000 he gets an additional commission as bonus of 3% on the excess sales over ₹10,000. If he gets total commission of ₹ 1380 , then the bonus he received is :

If m+ (1)/(m-2)=4, find (m-2)^(111) + (1)/((m-2)^(111))=?

The sum of the squares of two consecutive positive odd numbers is 290. Find the sum of the numbers :

Which of the following function is an even function ?

Find the x, if x^2 + x = x^3 - x :

If (sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b))=sqrt(3), then a : b is equal to

For any real numbers a, b and c the equationsax^2+bx+c=0 andbx^2+cx+a=0 have a common root,

The real numbers x_1, x_2, x_3satisfying the equation x^3-x^2+b x+gamma=0ar ein A.P. Find the intervals in which betaa n dgammalie.

Find the number of numbers lying between 1 and 1000 which are divisible by each of 6,7 and 15.

If f(x)=root3(1-x^2)+root3(1+x^2), then f(x) is :

Two trains, of same length are running in parallel tracks in opposite directions with speeds 65 km/h and 85 km/h respectively. They cross each other in 6 s. The length of each train is

((37)^(100))/(7)find R.

If (a +b) : (b +c) : (c +a) ::6:7:8 & a+b+c= 14 then find c=?