8677 + Interview Questions in Maths in Class 14 Page 46 InterviewSolution

2251.	Given x+ (1)/(y)=1 and y + (1)/(z)=1 find xyz= ?
Answer» ANSWER :`-1`

Discussion

2252.	A bus travels 700 km at a certain speed. If the bus driver reduces the speed of bus to 20 km/h then the bus will take four hours more to travel the same distance. Then find the initial speed of the bus ?
Answer» ANSWER : 70 km/h

Discussion

2253.	Which one of the following is correct about the given graph of f(x):
Answer» A. `\|xy\|=1` B. `\|x\|y=1` C. `x\|y\|=1` D. `\|x\|\|y\|=1` ANSWER :C

Discussion

2254.	35 boys can do a piece of work in 15 days. The work will completed in 25 days. How many boys did not turn up for the job?
Answer» 14 20 6 7 Answer :A

Discussion

2255.	A covered half of his journey at 20 km/h and rest at the x km/h then his average speed is 24 km/h.What is the value of x?
Answer» 30 32 36 40 Answer :A

Discussion

2256.	Let alpha,betabe the roots of the equation (x-a)(x-b)=c,c!=0 thenthe roots of the equation(x-alpha)(x-beta)+c=0 are :
Answer» a, C B, c a, b `a+c, b+c` ANSWER :C

Discussion

2257.	4cos20^@-sqrt3cot20^@
Answer» ANSWER :`-1`

Discussion

2258.	If the angle of elevation of a tower from two distant points a and b (a > b) from its foot and in the same straight line and on the same side of it are 30^@ and 60^@, then the height of the tower is
Answer» a )`SQRT(a/B)` `b ) sqrt(a+b)` C) `sqrt(AB)` d ) `sqrt(a-b)` ANSWER :C

Discussion

2259.	How many 5 digit numbers can be formed having the digits 0 three times and 3 two times?
Answer» 4 6 8 10 Answer :A

Discussion

2260.	A 12 cm long wire is bent to form a triangle with one of its angles as 60^(@). Find the sides of the triangle when its area is the largest.
Answer» 3, 4, 5 2, 4, 6 4, 4, 4 2.66, 3.66, 4.66 Answer :C

Discussion

2261.	What is the minimum distance between the vertex of the quadratic graph andX-axis when the roots are equal?
Answer» 0 1 2 data insufficient Answer :A

Discussion

2262.	If the two roots of a quadratic equation are7/2 and3/5 which one of the following is the concerned quadratic equation?
Answer» `10x^2-41x+21=0` `10x^2+41x-21=0` `5x^2-40x+24=0` `10x^2-24x+45=0` ANSWER :D

Discussion

2263.	A horse trots uniformly along a a circular track of radius 27 m. The angle substended at the centre of the track by the arc passed over by the horse in 3 seconds is 70^(@). What distance will the horse pass over in (1)/(2) minute.
Answer» ANSWER :330 m

Discussion

2264.	HDFC lends 1 million to HUDCO at 10% simple interest p.a. for 2 years and HUDCO lends the same amount to SAHARA STATES HOUSING corporation at 10% p.a. of compound interest for 2 years What is the earning, of HUDCO in this way ?
Answer» RS. 133100 Rs. 33100 Rs. 131000 no PROFIT no LOSS ANSWER :C

Discussion

2265.	(sqrt(3 + x) + sqrt(3 - x))/(sqrt( 3 + x) - sqrt( 3 - x)) = 2 thenx is equal to
Answer» `5/12` `(12)/5` `5/7` `7/5` ANSWER :A::B

Discussion

2266.	Distance between A and B is 600 km. When they start moving towards each other they meet in 12 hours. If A moved 5 hours after B then they meet in 10 hours. Find their speeds.
Answer» ANSWER :30 km/hr & 20 km/hr

Discussion

2267.	Find the total number of ways, in which 10 beads can be strung into a necklace?
Answer» ANSWER :181440

Discussion

2268.	(x^(2))/(by + cz) = (y^(2))/(ax + cz)= (z^(2))/(ax + by)=1 find (x)/(x+a) + (y)/(y+a) + (z)/(z+c)= ?
Answer» ANSWER :2

Discussion

2269.	An agent gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets rs. 12.50 as commission, the cloth sold through him on that day is worth ?
Answer» a. rs.250 b. rs.500 c. rs.750 d. rs.1250 Answer :A

Discussion

2270.	Find the value of 734856xx9999.
Answer» SOLUTION :`734856xx9999=734856xx(10000-1)` `=7348560000-734856=7347825144`

Discussion

2271.	Rs 1200 was divided into two parts and first was lentout at 8% per annum rate of simple interest for 5 years and the other part was lent out at 10% per annum years rate of simple interest for 4 years. If the interest on the first part is thricethat of second part, find the difference between two parts.
Answer» RS 5000 Rs 4800 Rs 6000 Rs 4200 Answer :Rs. 14000

Discussion

2272.	A car running at a speed of 140 km/hr reached its destination in 2 hours. If the car wants to reach at its destination in 1 hour, at what speed it needs to travel?
Answer» 300 km/hr 280 km/hr 250 km/hr 240 km/hr Answer :C

Discussion

2273.	Ifcos theta + sec theta = 2 " then "( cos^(117) theta + sec^(117) theta )is equal to :
Answer» `234` `2` `2^(117)` 117 Answer :B

Discussion

2274.	A largestposible cone is cut out from a cube of volume1000 cm^(3) . The volume of the cone is :
Answer» `280 cm^3` `261.9 cm^3` `269.1 cm^3` `296.1 cm^3` ANSWER :B

Discussion

2275.	A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of , A gets Rs. 500 and B gets Rs300, c gets Rs. 200. then C's capital is :
Answer» A) 4000 B) 5000 C) 6000 D) 7000 Answer :13%, RS. 600

Discussion

2276.	If ""^(10)P_(r) = 720, find r.
Answer» a) 2 b) 3 c) 5 d ) 4 Answer :3

Discussion

2277.	Find the number of positive integral solutions of the equation x_1x_2x_3x_4 = 462.
Answer» 128 1024 256 64 Answer :C

Discussion

2278.	A container contains 40 L of milk .fromthiscontainer, 4 Lof milk was takenout and replacedby water . This process was furtherrepeated two times.How much milk is now there in the container ?
Answer» ANSWER :20.16 L

Discussion

2279.	The numbers 2,4,6,8,.. 98, 100 are multipliedtogether. The number of zeros at the end of the product must be10 (b)11 (c) 12 (d) 13
Answer» 13 12 11 10 Answer :C

Discussion

2280.	Two numbers are in the ratio 5:4. The difference between their squares is 36. Find the greater number
Answer» 12 8 20 10 Answer :D

Discussion

2281.	If cos A = tan B, cos B = tan C and cos C = tan Athen show thatsin A = sin B = sin C = 2sin 18^circ.
Answer» `(SQRT(5)-1)/(4)` `(sqrt(5)-1)/(2)` `(sqrt(3)-1)/(4)` `(sqrt(3)-1)/(2)` ANSWER :A::B

Discussion

2282.	If a= 297, b= 298, c= 299 and find a^(2) + b^(2) + c^(2) - ab - bc - ca ?
Answer» ANSWER :3

Discussion

2283.	If sectheta=x+(1)/(4x), then find the value of sectheta+tantheta.
Answer» x 2x 4x 5x Answer :B

Discussion

2284.	If the simple interest on Rs. 800 be more than the interest on Rs. 400 by Rs. 40 in 2 years, then the rate of interest per annum is :
Answer» `5%` `5(1)/(2)%` `6%` None of these Answer :A

Discussion

2285.	Last Diwali Chhota Bheem got 10 distinct coloured candles placed in a row. Then he asked his friend to lit 3 candles. Find the number of ways of selection of candles so that all the at least 2 candles are consecutive.
Answer» 66 33 17 64 Answer :D

Discussion

2286.	Answer these questions based on the following information. Last Diwali Chhota Bheem got 10 distinct coloured candles placed in a row. Then he asked his friend to lit 3 candles. Find the number of ways of selection of candles so that all the 3 candles are consecutive.
Answer» 19 20 8 66 Answer :C

Discussion

2287.	Answer these questions based on the following information. Last Diwali Chhota Bheem got 10 distinct coloured candles placed in a row. Then he asked his friend to lit 3 candles. Find the number of ways of selection of candles so that all the 3 candles are not consecutive.
Answer» 112 12 132 66 Answer :A

Discussion

2288.	On an average 300 people watch the movie in Sahu Cinema hall on Monday, Tuesday and Wednesday and the average number of visitors on Thrusday and Friday is 250. If the average number of visitors per day in the week be 400, then the average number of people who watch the movie in weekends (i.e., on Saturday and Sunday) is :
Answer» 500 600 700 none of these Answer :C

Discussion

2289.	Hari Ram’s present age is three times his son’s present age and two fifth of his father’s present age. The average of the present age of all of them is 46 years. What is the difference between Hari Ram’s son’s present age and Hari Ram’s father’s present age?
Answer» A.44 yrs B.56 yrs C.67 yrs D.78 yrs Answer :RS. 35000

Discussion

2290.	A lends Rs. 2500 to B and a certain sum to C at the same time at 7% per annum,simple interest .If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then find the sum lent to C.
Answer» ANSWER :RS. 15000

Discussion

2291.	PQ and RS are two parallel tangents to a circle with centre O and another tangent AB wih point of contact C intersect PQ at A and RS at B. then find angle AOB
Answer» `60^(@)` `120^(@)` `90^(@)` `180^(@)` ANSWER :C

Discussion

2292.	Train A crosses a pole in 25 sec. and train B crosses a pole in 1 min 15 sec. Length of train A is half of the length of train B. Find out the ratio of speed of A & B ?
Answer» `3 :2` `3 :4` `4 :3` Couldn't be determined Answer :A

Discussion

2293.	A shopkeeper shopkeeper marks his goods at 39% more than CP. (1)/(3) rd stock is sold at 15% discount, (1)/(4) th on 20% discount and remaining at 24% discount. Find overall profit %.
Answer» ANSWER :11.2% PROFIT

Discussion

2294.	No offactors in 420 (odd factors).
Answer» ANSWER :`=8`

Discussion

2295.	Find a cubic equation in which each root is greater by unity than a root of the equation x^3-5x^2+6x-3=0. Which of the following could be the required equation?
Answer» `p^3-8p^2+19p-15=0` `p^3-19p^2+8p-15=0` `p^3-8p^2+19p-15=0` `p^3-19-8p+15=0` ANSWER :A

Discussion

2296.	The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?
Answer» ANSWER :RS. 1200

Discussion

2297.	If (x-2) is a factor of polynomial x^(2) + kx+4. Find the value of k
Answer» ANSWER :`-4`

Discussion

2298.	A conical vessel has a capacity of 15L of milk . Its height is 50 cm and base radius is 25 cm. How much milk can be contained in a vessel in cylindrical form having the same dimensions as that of the cone ?
Answer» 15 L 30 L 45 L none of these Answer :C

Discussion

2299.	If sintheta-costheta=0 and 0ltthetalepi//2, then theta is equal to :
Answer» `pi/2` `pi/4` `pi/6` 0 Answer :B

Discussion

2300.	783+9+0.75=?
Answer» 792.75 724 118 116 Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

Given x+ (1)/(y)=1 and y + (1)/(z)=1 find xyz= ?

A bus travels 700 km at a certain speed. If the bus driver reduces the speed of bus to 20 km/h then the bus will take four hours more to travel the same distance. Then find the initial speed of the bus ?

Which one of the following is correct about the given graph of f(x):

35 boys can do a piece of work in 15 days. The work will completed in 25 days. How many boys did not turn up for the job?

A covered half of his journey at 20 km/h and rest at the x km/h then his average speed is 24 km/h.What is the value of x?

Let alpha,betabe the roots of the equation (x-a)(x-b)=c,c!=0 thenthe roots of the equation(x-alpha)(x-beta)+c=0 are :

4cos20^@-sqrt3cot20^@

If the angle of elevation of a tower from two distant points a and b (a > b) from its foot and in the same straight line and on the same side of it are 30^@ and 60^@, then the height of the tower is

How many 5 digit numbers can be formed having the digits 0 three times and 3 two times?

A 12 cm long wire is bent to form a triangle with one of its angles as 60^(@). Find the sides of the triangle when its area is the largest.

What is the minimum distance between the vertex of the quadratic graph andX-axis when the roots are equal?

If the two roots of a quadratic equation are7/2 and3/5 which one of the following is the concerned quadratic equation?

A horse trots uniformly along a a circular track of radius 27 m. The angle substended at the centre of the track by the arc passed over by the horse in 3 seconds is 70^(@). What distance will the horse pass over in (1)/(2) minute.

HDFC lends 1 million to HUDCO at 10% simple interest p.a. for 2 years and HUDCO lends the same amount to SAHARA STATES HOUSING corporation at 10% p.a. of compound interest for 2 years What is the earning, of HUDCO in this way ?

(sqrt(3 + x) + sqrt(3 - x))/(sqrt( 3 + x) - sqrt( 3 - x)) = 2 thenx is equal to

Distance between A and B is 600 km. When they start moving towards each other they meet in 12 hours. If A moved 5 hours after B then they meet in 10 hours. Find their speeds.

Find the total number of ways, in which 10 beads can be strung into a necklace?

(x^(2))/(by + cz) = (y^(2))/(ax + cz)= (z^(2))/(ax + by)=1 find (x)/(x+a) + (y)/(y+a) + (z)/(z+c)= ?

An agent gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets rs. 12.50 as commission, the cloth sold through him on that day is worth ?

Find the value of 734856xx9999.

A car running at a speed of 140 km/hr reached its destination in 2 hours. If the car wants to reach at its destination in 1 hour, at what speed it needs to travel?

Ifcos theta + sec theta = 2 " then "( cos^(117) theta + sec^(117) theta )is equal to :

A largestposible cone is cut out from a cube of volume1000 cm^(3) . The volume of the cone is :

A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of , A gets Rs. 500 and B gets Rs300, c gets Rs. 200. then C's capital is :

If ""^(10)P_(r) = 720, find r.

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

A container contains 40 L of milk .fromthiscontainer, 4 Lof milk was takenout and replacedby water . This process was furtherrepeated two times.How much milk is now there in the container ?

The numbers 2,4,6,8,.. 98, 100 are multipliedtogether. The number of zeros at the end of the product must be10 (b)11 (c) 12 (d) 13

Two numbers are in the ratio 5:4. The difference between their squares is 36. Find the greater number

If cos A = tan B, cos B = tan C and cos C = tan Athen show thatsin A = sin B = sin C = 2sin 18^circ.

If a= 297, b= 298, c= 299 and find a^(2) + b^(2) + c^(2) - ab - bc - ca ?

If sectheta=x+(1)/(4x), then find the value of sectheta+tantheta.

If the simple interest on Rs. 800 be more than the interest on Rs. 400 by Rs. 40 in 2 years, then the rate of interest per annum is :

Last Diwali Chhota Bheem got 10 distinct coloured candles placed in a row. Then he asked his friend to lit 3 candles. Find the number of ways of selection of candles so that all the at least 2 candles are consecutive.

Answer these questions based on the following information. Last Diwali Chhota Bheem got 10 distinct coloured candles placed in a row. Then he asked his friend to lit 3 candles. Find the number of ways of selection of candles so that all the 3 candles are consecutive.

Answer these questions based on the following information. Last Diwali Chhota Bheem got 10 distinct coloured candles placed in a row. Then he asked his friend to lit 3 candles. Find the number of ways of selection of candles so that all the 3 candles are not consecutive.

Hari Ram’s present age is three times his son’s present age and two fifth of his father’s present age. The average of the present age of all of them is 46 years. What is the difference between Hari Ram’s son’s present age and Hari Ram’s father’s present age?

A lends Rs. 2500 to B and a certain sum to C at the same time at 7% per annum,simple interest .If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then find the sum lent to C.

PQ and RS are two parallel tangents to a circle with centre O and another tangent AB wih point of contact C intersect PQ at A and RS at B. then find angle AOB

Train A crosses a pole in 25 sec. and train B crosses a pole in 1 min 15 sec. Length of train A is half of the length of train B. Find out the ratio of speed of A & B ?

A shopkeeper shopkeeper marks his goods at 39% more than CP. (1)/(3) rd stock is sold at 15% discount, (1)/(4) th on 20% discount and remaining at 24% discount. Find overall profit %.

No offactors in 420 (odd factors).

Find a cubic equation in which each root is greater by unity than a root of the equation x^3-5x^2+6x-3=0. Which of the following could be the required equation?

The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?

If (x-2) is a factor of polynomial x^(2) + kx+4. Find the value of k

A conical vessel has a capacity of 15L of milk . Its height is 50 cm and base radius is 25 cm. How much milk can be contained in a vessel in cylindrical form having the same dimensions as that of the cone ?

If sintheta-costheta=0 and 0ltthetalepi//2, then theta is equal to :

783+9+0.75=?