8677 + Interview Questions in Maths in Class 14 Page 90 InterviewSolution

4451.	A and B can do a work in 20 and 30 days respectively. They start the work together and work for 7 days then both left and C complete the remaining work in 10 days, how much time shall be taken by C to do whole work?
Answer» ANSWER :24 DAYS

Discussion

4452.	Find the value of log_(8)25, given that log_(10)2= 0.3010
Answer» ANSWER :`1.5482`

Discussion

4453.	How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming that repetition of the digits is not allowed?
Answer» a. 68 b. 130 c. 60 d. NONE of these Answer :A

Discussion

4454.	If x^(xsqrtx) = (xsqrtx)^x then the value of x is :
Answer» A)`9/4` B)`4/9` C)8 D)4 Answer :A

Discussion

4455.	The remainder left out when 82n −(62)2n+1is divided by 9 is
Answer» a. 1 b. `a - 1` c. `N` d. none of these ANSWER :D

Discussion

4456.	A girl was asked to multiply a number by(7)/(8) , instead she divided the number by 7/ 8 and got the result 15 more than the correct result. The sum of the digits of the number was :
Answer» 4 8 6 11 Answer :D

Discussion

4457.	a, b, c and d are four consecutive numbers. If the sum of a and d is 103, what is the product of b and c?
Answer» 2652 2562 2970 2550 Answer :C

Discussion

4458.	Four horsesare tethered at four corners of a square plot of 42 m so that they just cannotreach one another . The area left ungrazed is :
Answer» `378 m^2` `438 m^2` `786 m^2` NONE of these Answer :A

Discussion

4459.	At what time are the hands of clock together between 7 pm and 8 pm?
Answer» `7:45:54` `7:36:27` `7:37:49` 7:38:18 Answer :D

Discussion

4460.	There are 10 lamps in a hall. Each one of them can be switched onindependently. Find the number of ways in which the hall can be illuminated.
Answer» 1022 1023 1024 none ofthese Answer :B

Discussion

4461.	The perimeter of an isosceles triangle is 20 cm and if b is the length of the third side which is distinct from the other two equal sides, find b.
Answer» `((1,20/3))cup((20/3,10))` `((0,20/3))cup((20/3,10))` `0 LT b lt 10` `5 lt b lt 10` ANSWER :B

Discussion

4462.	If two times of the daughter’s age in years is included to the mother’s age, the total is 70 and if two times of the mother’s age is included to the daughter’s age, the total is 95. So the Mother’s age is,
Answer» A. 38 B. 41 C. 42 D. 40 Answer :RS. 370000

Discussion

4463.	Solve the following expressions. (-4)^3 xx 5^2 xx 7^0
Answer» Solution :`-64 XX 25 xx 1 = -1600`

Discussion

4464.	A number consists of two digits such that thedigit in the tens place is less by 2 than the digit in the units place.Three times the number added to 6/7times the number obtained by reversing the digitsequal 108. The sum of the digits in the number isa. 6b. 7 c. 8 d. 9
Answer» 8 9 6 7 Answer :D

Discussion

4465.	There are two quadratic equations. Solve these equations and find the relation between p and q. p^2-7p+10=0 q^2-10q+24=0
Answer» `pltq` `pgtq` `pleq` can't be determined Answer :D

Discussion

4466.	If a_1 , a_2 , a_3, … is an A.P. such that a_1 , a_5 , a_(10) , a_(15) , a_(20) , a_(24) = 225 then a_1 + a_2 + a_3 + … + a_(23) + a_(24) is equal to :
Answer» a. 999 B. 900 c. 1225 d. NONE of these Answer :B

Discussion

4467.	A circle is drawn on AB as diameter. The centre of the circle is O andthe length AB = 13 cm. P is a point on the circumference of the cirlces such that the chord AP = 12 cm. Calculate the value of the angles PAB and POB in radians :
Answer» 0.395,0.789 0.786, 0.735 0.398, 0.689 0.786, 0.753 Answer :A

Discussion

4468.	A man buys a scooter on making a cash down payment of Rs. 16224 and promises to pay two more yearly installments of equivalent amount in next two years. If the rate of interest is 4% per annum, compounded yearly, the cash value of the scooter, is:
Answer» ANSWER :RS. 43680

Discussion

4469.	If x^(2)(x+y+z)=36,y^(2)(x+y+z)=46,z^(2)(x+y+z)=63,xy(x+y+z)=111,yz(x+y+z)=99 zx(x+y+z)=82 then x=?
Answer» 6 7 2 4 Answer :C

Discussion

4470.	A builder decided to build a farmhouse in 45 days. He employed 150 men in the beginning and120 more after 30 days and completed the construction in stipulated time. If he had not employed the additional men, how many days behind schedule would it have been finished?
Answer» ANSWER :12

Discussion

4471.	Which of the following function is even function?
Answer» f(X)=LOG`(1-x)/(1+x)` f(x)=`x.(a^x+1)/(a^x-1)` f(x)=`log[x+sqrt(1+x^2)]` f(x)=`sqrt(1+x+x^2)-sqrt(1-x+x^2)` Answer :B

Discussion

4472.	cos^6A+sin^6A is equal to:
Answer» `1-3sin^2Acos^2A` 1-3sinAcosA `1+3sin^2Acos^2A` 1 Answer :A

Discussion

4473.	Find the value of 1/(1^(123)).
Answer» SOLUTION :`1/i^123=1/(i^120xxi^3)=1/(1xxi^3=1/i^3=1/i^3xx1/i=i/i^4=i`

Discussion

4474.	Find the value of (sinx+cosecx)^(2)+(cos+secx)^(2)-(tanx+cotx)^(2),
Answer» 7 5 9 4 Answer :B

Discussion

4475.	Find the value of (sinx+cosecx)^(2)+(cosx-secx)^(2)-(tanx+cotx)^(2),
Answer» `-7` 5 1 4 Answer :C

Discussion

4476.	An ice-cream parlour offers only family packs of ice-cream with 11 different flavour s. If each member of a family loves different flavours, then maximum how many such families can purchase the ice-cream if each family contains equal number of persons ?
Answer» 246 462 123 C(11,N) ANSWER :B

Discussion

4477.	The captain of a cricket team of 11 members is 26 years old, and the wicket-keeper is three years older than the captain. If the ages of captain and wicketkeeper are excluded, the average age of the remaining players of the team is one year less than the average age of the whole team. What is the average age of the team?
Answer» 23 17 49 19 Answer :C

Discussion

4478.	A, B, C, D, E are the five electronic shops in the Naza market, which have 20, 30, 60, 80 and 50. T.V. sets with them respectively, then the average number of T.V. sets in each shop is :
Answer» 24 48 50 60 Solution :AVERAGE NUMBER of T.V. SETS=(20+30+60+80+50)/5=48

Discussion

4479.	A thief is spotted by a policeman from a distance of 200 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief be16km/h and that of the policeman be 20km/h, how far the thief will have run before he is overtaken?
Answer» 800 m 850 m 700 m 650 m Answer :A

Discussion

4480.	Raju has 64 small cube of1 cm^(3). He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum . What is the diagonal of this larger cuboid ?
Answer» `8sqrt2 CM` `sqrt273` `4sqrt3 cm` `sqrt129 cm` ANSWER :C

Discussion

4481.	If Rs 150.0 is divided among A, B and C in the ratio of2:3:5, the share of C exceeds that of B by
Answer» ₹ 15 ₹ 22 ₹ 30 none of these Answer :A

Discussion

4482.	A person after paying 10%tax, spend 20%of the remaining on education, 25%of the remaining on food. After all this expenditure he is left with Rs. 2700. Find his income.
Answer» ANSWER :RS. 5000

Discussion

4483.	Two trains start at the same time from points A and B towards each other and after crossing each other, they take 25 h and 9 h in reaching points B and A, respectively. Find the ratio of speeds of 1st train to that of 2nd train.
Answer» ANSWER :`=3 :5`

Discussion

4484.	Two dice are rolled simultaneously . Find the probability of getting a sum greater than 9.
Answer» `10/11` `5/6` `1/6` `8/9` ANSWER :C

Discussion

4485.	A vessel contains a mixture of O_(2 )and N_(2). The quantity of O_(2) is 16% of total mixture. Some quantity of mixture taken out from it and replaced by N_(2). Thisprocess is repeated once more. Now the quantity of O_(2) is 9% of total mixture. If total quantity of mixturewas 8lt , then find the quantity of mixture which is taken out.
Answer» ANSWER :2LT

Discussion

4486.	There are 4 filling pipes and 3 emptying pipes capable of filling and emptying in 12 minutes and 15 minutes respectively. If all the pipes are opened thogether and as a result they fill 10 litres of water per minute. Find the capacity of the tank.
Answer» 65 ltr 70 ltr 75 ltr 80 ltr Solution :`(4/12 - 3/15) xx t=1` `t = 15/2` MINUTE - in this time the tank will be filled. So the CAPACITY `= (15/2)xx 10 = 75` litre

Discussion

4487.	(9.5)^2 = ?
Answer» 75 90 90.25 110 Answer :B

Discussion

4488.	if n=3, then the value of 'l' which is incorrect
Answer» `5 lt N lt 12` `3n^2 le 150` `4n + 5 le 23` `4n^2 + 3 gt 200` Answer :C

Discussion

4489.	Two numbers are in the ratio 3 : 4. If their HCF is 4, then their LCM is:
Answer» 48 42 36 24 Answer :A

Discussion

4490.	Let f(x)=x/(x+3), then f(x+1)=?
Answer» `(3x+2)/(x+2)` `(x+1)/(x+4)` `(x+1)/(x+3)` `(2x+3)/(x+3)` ANSWER :B

Discussion

4491.	What would be the C.I. obtained on an amount of rs. 12000 at the rate of 9% p.a. for 3 years?
Answer» a. rs.3840 B. rs.3740.75 c. rs.3540 d. rs.3640 Answer :B

Discussion

4492.	If (x^(2))/(by+cz) = (y^(2))/(ax+ cz) = (z^(2))/(ax + by)=2 (a)/(x+2a) + (b)/(y+2b) + (c )/(z+2c)= ?
Answer» ANSWER :`(1)/(2)`

Discussion

4493.	Find the slope of the line joining the points (6, 3) and (8, 7) :
Answer» 1 2 `1/2` 3 Answer :B

Discussion

4494.	Average marks of maths of 5 students is 50. Later it was found that 48 was mistakenly reworded as 84. Find the actual average
Answer» ANSWER :42.8

Discussion

4495.	The owner of an art shop conducts his business in the following manner : every once in a while he rises his prices by X% , then a while later he reduces all the new prices by X%. After one such up down cycle, the price of a painting decreased by Rs.441. After second updown cycle, the paintaing was sold for Rs. 1944.81. What was the original price of the painting ?
Answer» ₹ 5,00,000 ₹6,00,625 ₹5,25,625 ₹ 5,26,000 Answer :C

Discussion

4496.	Sum of three consecutive terms in a G.P. is 42 their product is 512 . Find the largest of these numbers. :
Answer» 28 16 32 none of these Answer :C

Discussion

4497.	If {x} is the least integer greater than or equal to x, then find the value of the following series: {sqrt1}+{sqrt2}+{sqrt3}+{sqrt4}+...+{sqrt(99)}+{sqrt(100)}
Answer» 715 55 157 835 Answer :A

Discussion

4498.	If a,b,c,d,e,f, g are in contiued proportion, then the value of a.b.c.e.f.g is
Answer» `d^3` `d^7` `d^6` NONE of these ANSWER :B

Discussion

4499.	A survey of film watching habits of people living in five cities P, Q, R, S and T is summarised below in a table. The column I in five table gives percentage of film-watchers in each city who see only one film a week. The column II gives the total number of film-watchers who see two or more films per week. The maximum number of film-watchers in any given city is
Answer» Q R S T Answer :D

Discussion

4500.	Capt.Manoj Panday once decided to distribute 180 bullets among his 36 soldiers. But he gave n bullets to a soldier of nth row and there were same number of soldiers in each row. Thus he distributed all his 180 bullets among his soldiers. The number of soldiers in (n - 1)th row was:
Answer» 3 8 9 none of these Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

A and B can do a work in 20 and 30 days respectively. They start the work together and work for 7 days then both left and C complete the remaining work in 10 days, how much time shall be taken by C to do whole work?

Find the value of log_(8)25, given that log_(10)2= 0.3010

How many 3-digit numbers can be formed from the digits 1,2,3,4 and 5 assuming that repetition of the digits is not allowed?

If x^(xsqrtx) = (xsqrtx)^x then the value of x is :

The remainder left out when 82n −(62)2n+1is divided by 9 is

A girl was asked to multiply a number by(7)/(8) , instead she divided the number by 7/ 8 and got the result 15 more than the correct result. The sum of the digits of the number was :

a, b, c and d are four consecutive numbers. If the sum of a and d is 103, what is the product of b and c?

Four horsesare tethered at four corners of a square plot of 42 m so that they just cannotreach one another . The area left ungrazed is :

At what time are the hands of clock together between 7 pm and 8 pm?

There are 10 lamps in a hall. Each one of them can be switched onindependently. Find the number of ways in which the hall can be illuminated.

The perimeter of an isosceles triangle is 20 cm and if b is the length of the third side which is distinct from the other two equal sides, find b.

If two times of the daughter’s age in years is included to the mother’s age, the total is 70 and if two times of the mother’s age is included to the daughter’s age, the total is 95. So the Mother’s age is,

Solve the following expressions. (-4)^3 xx 5^2 xx 7^0

A number consists of two digits such that thedigit in the tens place is less by 2 than the digit in the units place.Three times the number added to 6/7times the number obtained by reversing the digitsequal 108. The sum of the digits in the number isa. 6b. 7 c. 8 d. 9

There are two quadratic equations. Solve these equations and find the relation between p and q. p^2-7p+10=0 q^2-10q+24=0

If a_1 , a_2 , a_3, … is an A.P. such that a_1 , a_5 , a_(10) , a_(15) , a_(20) , a_(24) = 225 then a_1 + a_2 + a_3 + … + a_(23) + a_(24) is equal to :

A circle is drawn on AB as diameter. The centre of the circle is O andthe length AB = 13 cm. P is a point on the circumference of the cirlces such that the chord AP = 12 cm. Calculate the value of the angles PAB and POB in radians :

A man buys a scooter on making a cash down payment of Rs. 16224 and promises to pay two more yearly installments of equivalent amount in next two years. If the rate of interest is 4% per annum, compounded yearly, the cash value of the scooter, is:

If x^(2)(x+y+z)=36,y^(2)(x+y+z)=46,z^(2)(x+y+z)=63,xy(x+y+z)=111,yz(x+y+z)=99 zx(x+y+z)=82 then x=?

A builder decided to build a farmhouse in 45 days. He employed 150 men in the beginning and120 more after 30 days and completed the construction in stipulated time. If he had not employed the additional men, how many days behind schedule would it have been finished?

Which of the following function is even function?

cos^6A+sin^6A is equal to:

Find the value of 1/(1^(123)).

Find the value of (sinx+cosecx)^(2)+(cos+secx)^(2)-(tanx+cotx)^(2),

Find the value of (sinx+cosecx)^(2)+(cosx-secx)^(2)-(tanx+cotx)^(2),

An ice-cream parlour offers only family packs of ice-cream with 11 different flavour s. If each member of a family loves different flavours, then maximum how many such families can purchase the ice-cream if each family contains equal number of persons ?

A, B, C, D, E are the five electronic shops in the Naza market, which have 20, 30, 60, 80 and 50. T.V. sets with them respectively, then the average number of T.V. sets in each shop is :

A thief is spotted by a policeman from a distance of 200 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief be16km/h and that of the policeman be 20km/h, how far the thief will have run before he is overtaken?

Raju has 64 small cube of1 cm^(3). He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum . What is the diagonal of this larger cuboid ?

If Rs 150.0 is divided among A, B and C in the ratio of2:3:5, the share of C exceeds that of B by

A person after paying 10%tax, spend 20%of the remaining on education, 25%of the remaining on food. After all this expenditure he is left with Rs. 2700. Find his income.

Two trains start at the same time from points A and B towards each other and after crossing each other, they take 25 h and 9 h in reaching points B and A, respectively. Find the ratio of speeds of 1st train to that of 2nd train.

Two dice are rolled simultaneously . Find the probability of getting a sum greater than 9.

There are 4 filling pipes and 3 emptying pipes capable of filling and emptying in 12 minutes and 15 minutes respectively. If all the pipes are opened thogether and as a result they fill 10 litres of water per minute. Find the capacity of the tank.

(9.5)^2 = ?

if n=3, then the value of 'l' which is incorrect

Two numbers are in the ratio 3 : 4. If their HCF is 4, then their LCM is:

Let f(x)=x/(x+3), then f(x+1)=?

What would be the C.I. obtained on an amount of rs. 12000 at the rate of 9% p.a. for 3 years?

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

Find the slope of the line joining the points (6, 3) and (8, 7) :

Average marks of maths of 5 students is 50. Later it was found that 48 was mistakenly reworded as 84. Find the actual average

Sum of three consecutive terms in a G.P. is 42 their product is 512 . Find the largest of these numbers. :

If {x} is the least integer greater than or equal to x, then find the value of the following series: {sqrt1}+{sqrt2}+{sqrt3}+{sqrt4}+...+{sqrt(99)}+{sqrt(100)}

If a,b,c,d,e,f, g are in contiued proportion, then the value of a.b.c.e.f.g is

Capt.Manoj Panday once decided to distribute 180 bullets among his 36 soldiers. But he gave n bullets to a soldier of nth row and there were same number of soldiers in each row. Thus he distributed all his 180 bullets among his soldiers. The number of soldiers in (n - 1)th row was: