8677 + Interview Questions in Maths in Class 14 Page 172 InterviewSolution

8551.	If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets ? 6 more. The cost price of the article is
Answer» ₹ 60 ₹ 66 ₹ 50 ₹ 36 Answer :C

Discussion

8552.	The ratio of speeds at which Anil and Mukesh walk is 3 : 4. Anil takes 30 minutes more than the time taken by Mukesh in reaching the destination. What is the total distance travelled by each of them, if the average of speeds of Anil and Mukesh is 28 km/h?
Answer» 49km 60km 17 km 70km Answer :A

Discussion

8553.	The ratio of speeds at which Anil and Mukesh walk is 3 : 4. Anil takes 30 minutes more than the time taken by Mukesh in reaching the destination. If Anil drives the car at twice the speed of his walking then the time required to reach his destination by car is :
Answer» 45 min 60 min 1.5 H 1 h 20 min Answer :B

Discussion

8554.	The sum of n terms of a series is 3n^2 + 5n. Find the value of n if nth term is 152.
Answer» A. 15 B. 18 C. 20 D. 25 Answer :D

Discussion

8555.	Subhash purchased a tape recorder at(9)/(10) th of its selling price and sold it at 8% more than its selling price. His gain is:
Answer» ANSWER :`20% RS`

Discussion

8556.	The set of real values of x satisfying the equation\|x-1\|^(log_3(x^2)-2log_x(9))=(x-1)^7
Answer» (2,9) (9,81) (2,81) NONE of theses Answer :C

Discussion

8557.	If a= 25, b= 15, c= - 10 then (a^(3) + b^(3) + c^(3) - 3abc)/((a-b)^(2) + (b-c)^(2) + (c-a)^(2))
Answer» ANSWER :15

Discussion

8558.	The value of 27^((log_3 81)) is :
Answer» 27381 531441 65631 none of these Answer :B

Discussion

8559.	A boat which sails at 10 km/h in still water starts chasing from 10 km behind another one which sails at 4 km/h in the upstream directions after how lonf will it catchup if the stream is flowing at 2 km/h:
Answer» 4 h 2.5 h 2h 3.5 h Answer :B

Discussion

8560.	A motorboat went downstream for 28 km and immediately returned. It took the boat twice time to make returned trip than to go. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow.
Answer» 3.5 km/h 4 km/h 6 km/h 8 km/h Answer :C

Discussion

8561.	A motor boat went downstream for 120 km and immediately returned it took the boat 15 hours to complete the round trip.if the speed of the river were twice as high the trip downstream and back would take 24 hours.What is the speed of the boat in still water?
Answer» 20 km/h 18 km/h 15 km/h 16 km/h Answer :B

Discussion

8562.	ABCD is square . BCE is equilateralDeltaoutside . Find angle DEC
Answer» ANSWER :`X = 15^(@)`

Discussion

8563.	If f(x)=x^2+2 then f^-1(x) is :
Answer» `SQRT(X-2)` `sqrt(x+2)` `sqrt(x)+2` x+4 Answer :A

Discussion

8564.	SBI lent Rs. 1331 lakh to the TATA group at compound interest and got Rs. 1728 lakh after 3 yr. What is the rate of interest charged, if compounded annually ?
Answer» 0.11 0.0909 0.12 0.0833 Answer :B

Discussion

8565.	If sin61^(@)=(a)/(sqrt(a^(2)+b^(2))), then find the value of tan61^(@)+tan29^(@).
Answer» `(a)/(B)` `((a+b)^(2))/(AB)` `(a)/(b)+1` `(a)/(b)+(b)/(a)` ANSWER :D

Discussion

8566.	The remainder when 888222888222888222… upto 9235 digits is divided by 5^3 is :
Answer» 103 38 can't be DETERMINED NONE of these ANSWER :A

Discussion

8567.	Ramesh bought a chair for Rs. 1540 and sold it to Suresh. If Ramesh earned a profit of 25%, find the selling price of chair.
Answer» Rs.1950 Rs.1925 Rs.1900 Rs.1875 Answer :D

Discussion

8568.	Find the value off(f(−3)), iff(x)=(x+1)/x
Answer» `7/3` `5/3` `5/2` `3/2` ANSWER :A

Discussion

8569.	find the value of f(5), if f ( x ) = 3 x^2 − 4x ?
Answer» 55 65 57 45 Answer :B

Discussion

8570.	Which of the following is a correct graph of a quadratic equation, where the vertical line represents the axis of symmetry?
Answer» only (III) (i) and (iii) (II) and (IV) NONE of the graphs Answer :D

Discussion

8571.	Loss incurred by selling an article for Rs 600 is equal to profit gained by selling same article for Rs 1000 Find the cost price of this article?
Answer» ANSWER :800 RS

Discussion

8572.	Given f(x)=(1)/((1-x)).g(x)=f(f(x)) and h(x)=f(f(f(x))), then the value of f(x).g(x).h(x) is :
Answer» 0 `-1` 1 2 Answer :B

Discussion

8573.	A square and rhombus have the same base . If the rhombus is inclined at60^(@), find the ratio of areaof square to the area of the rhombus :
Answer» `2 sqrt(3) : 3` `1 : sqrt(3) ` `sqrt(3):2` none of these Answer :A

Discussion

8574.	The angles of a triangle are in the ratio 4:1:1. Then the ratio of the largest side to the perimeter is
Answer» `SQRT3:(2+sqrt3)` `1:6` `1:(2+sqrt3)` `2:3` ANSWER :A

Discussion

8575.	A person sells T.V. at 20% profit. If he gets profit equal to 20% S.P. then he would gain (3% of C.P. + 83 Rs) more. Find C.P. of T.V.?
Answer» ANSWER :8300 RS

Discussion

8576.	If f(x)=(x)/(sqrt(1+x^(2)), then f(f(f(x))) is :
Answer» `3x/sqrt(1+x^2)` `x/sqrt(1+3x^2)` `x^3/sqrt(1+x^2)` `x/sqrt(3+3x^2)` ANSWER :B

Discussion

8577.	Maximumnumber of pointsof intersection of 6 circles is
Answer» 30 28 15 none of these Answer :A

Discussion

8578.	If the cone is cut along its axis from the middle , the new shape we obtain after opening the paper is :
Answer» a. ISOSCELES TRIANGLE B. equilateral triangle c. right angle triangle d. NONE of these Answer :C

Discussion

8579.	If the height and the radius of a cone are doubled, the volume of the cone becomes
Answer» 2 times 8 times 16 times 4 times Answer :B

Discussion

8580.	The C.I. and S.I. on a sum of money for 2 years is Rs. 210 and Rs. 200 respectively. If the rate of the interest is same, then sum will be
Answer» a. RS 2200 B. Rs. 500 C. Rs . 1000 d. Rs. 2000 Answer :C

Discussion

8581.	Evaluate or simplify the following expression . 9 - {7 - 24 div (8 + 6 xx 2 - 16)}
Answer» SOLUTION :`9-{7-24div(8+6xx2-16)}]` = `9-[7-24div(8+12-16)]=9-[7-24div4]` =` 9-{7-6}=9-{1}=8`

Discussion

8582.	Which one is greatest out of root(3)(5), root(4)(3), root(5)(4) ?
Answer» ANSWER :`ROOT(3)(5)`

Discussion

8583.	The value of (x,y) if x^y = y^x and x^2 = y^3 is :
Answer» `27/8, 9/4` `9/8, 27/4` `8/27, 4/9` `8/9, 4/27` ANSWER :A

Discussion

8584.	If cosec^(2)theta+cot^(2)theta=7 find sintheta&costheta
Answer» ANSWER :`(SQRT(3))/(2)`

Discussion

8585.	A king calls 11 masseurs for his queen, as she wants the body massage from Monday to Friday, while on weekends shen wants to go on the long trips with the king. She wants everyday a new masseur, so basically 5 masseurs are required. But a confidant of the king tells him that out of 11 masseurs 5 are familiar with the queen before her marriage and she used to get very close to them. But the king has no idea of these 5 people who are familiar with the queen. In spite of knowing this very odd fact he takes the risk of teling the masseurs that they can start giving massage to his lovely queen, as she doesn't want to make any fuss over it. However, he wants to identify the 5 masseurs who are close to the queen. based on the queen's personal behaviour with him the wise king gets an idea that if in any week out of the 5 familiar masseurs any 3 masseurs give the massage to the beautiful queen he will certainly identify who all these 5 people familiar with the queen are. Minimum how many weeks are required to identify these 5 masserus familiar with the queen?
Answer» 3 4 5 7 Answer :C

Discussion

8586.	A die is thrown twice. What is the probabilitythat at least one of the two throws comes up with the number 4?
Answer» `11/36` `5/6` `15/36` none Answer :A

Discussion

8587.	In every 40 minutes the time of a watch increases by 5 minutes. After setting the correct time at 7 a.m. what time will the watch show after 4 hours ?
Answer» 11:40 a.m. 11:25 a.m. 11:30 a.m. 11:35 a.m. Answer :A

Discussion

8588.	?%of 800=293-22% "of" 750
Answer» 14 18 12 16 Solution :`(800xx?)/(100)=293-(750xx22)/(100)` `rArr 8xx?=293 - 165=128` `rArr ?=(128)/(8)=16`

Discussion

8589.	The ratio of income of A, B and C is 2 : 3:4 and the ratio of expenditure is 3 : 4:5. Savings of A is (1)/(5)of its income then find the ratio of their savings.
Answer» `6:13:20` `7:14:22` `13:6:20` `20:13:6` ANSWER :A

Discussion

8590.	(A + B) can do a piece of work in 5 days. If A works with twice of his efficiency and B works with half of his efficiency, then work will be completed in 4 days. In how many days will A and B do this work alone ?
Answer» ANSWER :10 DAYS, 10 days

Discussion

8591.	Train X starts from point A for point B at the point A and B are 300 km apart. The trains are moving at a constant speed atleast at 25km/h. The trains meet each other 3 hours after they start. If the faster train takes atleast 2 more hours to reach the destination. By which time will the slower train have definitely reached its destination? (Ignoring te length of trains in crossing?
Answer» 4 HOURS after the start 7.5 hours after the start 6 hours after the start none of these Answer :B

Discussion

8592.	Eldeco Housing Pvt. Ltd purchased a circular plot of land for Rs. 158400 at the rate of 1400 per sq. metre. The radius of the plotis :
Answer» 5m 6M 7 m 14 m Answer :B

Discussion

8593.	If sintheta+sin^2theta+sin^3theta=1 then value of cos^6theta-4cos^4theta+8cos^2theta is
Answer» ANSWER :4

Discussion

8594.	I.15x^(2) - 29x - 14 = 0""II.6y^(2) - 5y - 25 = 0
Answer» ` x gt y` ` x ge y` ` x lt y` Relationship between x and y cannot be determined SOLUTION :I. ` 15x^(2) - 29x - 14 = 0` ` x_(1) = (29+sqrt(841+60xx14))/30` ` = (29+41)/30 = 70/30` ` x _(2) = (29-sqrt(1681))/30` `x_(2) = (29-41)/30 = (-12)/30` ` x = 7/3*(-2)/5` II. ` 6Y^(2)-5y-15 = 0` ` y_(1) =(5+sqrt(25-4xx6xx - 25))/12 = (5+sqrt(625))/12 = 30/12 ` ` y_(2)=(5-sqrt(25-4xx6xx - 25))/12 rArr y_(2) = (5-sqrt(625))/12 = (-20)/20` ` y = 5/2, (-5)/3` So, relationship between x and y can't be determined.

Discussion

8595.	Find the remainder when (27)^(35)is divided by 26
Answer» 0 1 25 24 Answer :B

Discussion

8596.	Two parallel lines AB and CD are intersected by a transversal EF at M and N respectively. The lines MP and NP are the bisectors of interior angles angle BMN and angle DNM on the same side of the transversal. Then angle MPN is equal to :
Answer» `60^@` `90^@` `45^@` `120^@` Answer :B

Discussion

8597.	If 35% of a number is 12 less than 50% of that number, then the number is:
Answer» a. 40 b. 50 c. 60 d. 80 Answer :D

Discussion

8598.	The diagonal of the square field measures 50m. The area of square field is?
Answer» a. 1250m^2 b. 1200m^2 C. 1205m^2 d. 1025m^2 Answer :C

Discussion

8599.	If 1^(3) + 2^(3) + 3^(3) + 4^(3) + ……….. + 10^(3) =
Answer» 2875 3025 3080 39400 Answer :B

Discussion

8600.	What is the greater angle between hour hand and minute hand at 9:20 pm?
Answer» 200 180 220 150 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

If an article is sold at a gain of 6% instead of at a loss of 6%, then the seller gets ? 6 more. The cost price of the article is

The ratio of speeds at which Anil and Mukesh walk is 3 : 4. Anil takes 30 minutes more than the time taken by Mukesh in reaching the destination. What is the total distance travelled by each of them, if the average of speeds of Anil and Mukesh is 28 km/h?

The ratio of speeds at which Anil and Mukesh walk is 3 : 4. Anil takes 30 minutes more than the time taken by Mukesh in reaching the destination. If Anil drives the car at twice the speed of his walking then the time required to reach his destination by car is :

The sum of n terms of a series is 3n^2 + 5n. Find the value of n if nth term is 152.

Subhash purchased a tape recorder at(9)/(10) th of its selling price and sold it at 8% more than its selling price. His gain is:

The set of real values of x satisfying the equation|x-1|^(log_3(x^2)-2log_x(9))=(x-1)^7

If a= 25, b= 15, c= - 10 then (a^(3) + b^(3) + c^(3) - 3abc)/((a-b)^(2) + (b-c)^(2) + (c-a)^(2))

The value of 27^((log_3 81)) is :

A boat which sails at 10 km/h in still water starts chasing from 10 km behind another one which sails at 4 km/h in the upstream directions after how lonf will it catchup if the stream is flowing at 2 km/h:

A motor boat went downstream for 120 km and immediately returned it took the boat 15 hours to complete the round trip.if the speed of the river were twice as high the trip downstream and back would take 24 hours.What is the speed of the boat in still water?

ABCD is square . BCE is equilateralDeltaoutside . Find angle DEC

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

SBI lent Rs. 1331 lakh to the TATA group at compound interest and got Rs. 1728 lakh after 3 yr. What is the rate of interest charged, if compounded annually ?

If sin61^(@)=(a)/(sqrt(a^(2)+b^(2))), then find the value of tan61^(@)+tan29^(@).

The remainder when 888222888222888222… upto 9235 digits is divided by 5^3 is :

Ramesh bought a chair for Rs. 1540 and sold it to Suresh. If Ramesh earned a profit of 25%, find the selling price of chair.

Find the value off(f(−3)), iff(x)=(x+1)/x

find the value of f(5), if f ( x ) = 3 x^2 − 4x ?

Which of the following is a correct graph of a quadratic equation, where the vertical line represents the axis of symmetry?

Loss incurred by selling an article for Rs 600 is equal to profit gained by selling same article for Rs 1000 Find the cost price of this article?

Given f(x)=(1)/((1-x)).g(x)=f(f(x)) and h(x)=f(f(f(x))), then the value of f(x).g(x).h(x) is :

A square and rhombus have the same base . If the rhombus is inclined at60^(@), find the ratio of areaof square to the area of the rhombus :

The angles of a triangle are in the ratio 4:1:1. Then the ratio of the largest side to the perimeter is

A person sells T.V. at 20% profit. If he gets profit equal to 20% S.P. then he would gain (3% of C.P. + 83 Rs) more. Find C.P. of T.V.?

If f(x)=(x)/(sqrt(1+x^(2)), then f(f(f(x))) is :

Maximumnumber of pointsof intersection of 6 circles is

If the cone is cut along its axis from the middle , the new shape we obtain after opening the paper is :

If the height and the radius of a cone are doubled, the volume of the cone becomes

The C.I. and S.I. on a sum of money for 2 years is Rs. 210 and Rs. 200 respectively. If the rate of the interest is same, then sum will be

Evaluate or simplify the following expression . 9 - {7 - 24 div (8 + 6 xx 2 - 16)}

Which one is greatest out of root(3)(5), root(4)(3), root(5)(4) ?

The value of (x,y) if x^y = y^x and x^2 = y^3 is :

If cosec^(2)theta+cot^(2)theta=7 find sintheta&costheta

A die is thrown twice. What is the probabilitythat at least one of the two throws comes up with the number 4?

In every 40 minutes the time of a watch increases by 5 minutes. After setting the correct time at 7 a.m. what time will the watch show after 4 hours ?

?%of 800=293-22% "of" 750

The ratio of income of A, B and C is 2 : 3:4 and the ratio of expenditure is 3 : 4:5. Savings of A is (1)/(5)of its income then find the ratio of their savings.

(A + B) can do a piece of work in 5 days. If A works with twice of his efficiency and B works with half of his efficiency, then work will be completed in 4 days. In how many days will A and B do this work alone ?

Eldeco Housing Pvt. Ltd purchased a circular plot of land for Rs. 158400 at the rate of 1400 per sq. metre. The radius of the plotis :

If sintheta+sin^2theta+sin^3theta=1 then value of cos^6theta-4cos^4theta+8cos^2theta is

I.15x^(2) - 29x - 14 = 0""II.6y^(2) - 5y - 25 = 0

Find the remainder when (27)^(35)is divided by 26

Two parallel lines AB and CD are intersected by a transversal EF at M and N respectively. The lines MP and NP are the bisectors of interior angles angle BMN and angle DNM on the same side of the transversal. Then angle MPN is equal to :

If 35% of a number is 12 less than 50% of that number, then the number is:

The diagonal of the square field measures 50m. The area of square field is?

If 1^(3) + 2^(3) + 3^(3) + 4^(3) + ……….. + 10^(3) =

What is the greater angle between hour hand and minute hand at 9:20 pm?