8677 + Interview Questions in Maths in Class 14 Page 88 InterviewSolution

4351.	The sum of three numbers in G.P. is 70, if the two extremes be multipled each by 4 and the mean by 5, the new numbers so formed are in A.P. Find the product of original numbers :
Answer» 8000 6000 7000 none of these Answer :A

Discussion

4352.	A dealer by selling 12 oranges gets the cost price of 15 oragnes. What is the percentage profit ?
Answer» Solution :PROFIT `(%)("GOODS" "LEFT")/("goods""sold")XX100=(15-12)/12xx100=25%`

Discussion

4353.	If in any triagnle a=13cm, b= 14 cm and c = 15cm, find the inradius of the circle :
Answer» 2 cm 6.5 cm 4 cm 7 cm Answer :C

Discussion

4354.	What is the percentage change in the result when we add 50 to a certain number x, instead of subtracting 50 from the same number x?
Answer» `50%` `100%` `300%` can't be determined Answer :D

Discussion

4355.	Which one of the following is not a factor of this polynomial x^(8) + x^(4) + 1 ?
Answer» `(X^(2) + 1 + x)` `(x^(2) +1-x)` `(x^(4)+ 1-x^(2))` `x^(2)-1+x`

Discussion

4356.	11.699997 + 18.0011 + 7.0009 xx 4.9898= sqrt(?)
Answer» a. 4300 b. 9000 c. 100 d. 10000 Answer :D

Discussion

4357.	If (x+1/x)=2 then the value of (x^5+1/x^5) is:
Answer» 2 4 8 none of these Answer :A

Discussion

4358.	A customer asks for the production of x number of goods. The company produces y number of goods daily. Out of which z% are unfit for sale. The order will be completed in :
Answer» `X/(100Y(1-z))"days"` `(100yz)/x "days"` `(100X)/(y(100-z)) "days"` `100/(y(z-1)) "days` Answer :C

Discussion

4359.	The maximum value of the function f(x)=2x^3-15x^2+36x-48on the set A={x\|x^2+20le9x}is
Answer» 7 6 8 none Answer :A

Discussion

4360.	If 3a=4b=6c and a+b+c=27sqrt(29) then sqrt(a^(2)+b^(2)+c^(2)) is equal to
Answer» `3sqrt(29)` 81 87 89 Answer :C

Discussion

4361.	A person spends 80%of his income . If hisincome increase by 35% and hisexpenditureincreasesby 37 (1)/(2)% . Byhow muchpercentof hissavingwill increaseor decreases ?
Answer» ANSWER :`25%`

Discussion

4362.	Ravi obtained 325 marks out of a maximum of 400 marks. Find the percentage of marks obtained by him.
Answer» SOLUTION :REQUIRED PERCENTAGE of MARKS` = 325/400 xx100=81.25%`

Discussion

4363.	There are 3 books of mathematics, 4 of science and 5 of literature. How many different collections can be made such that each collection consists of.if atleastone bookon eachsubjects is taken ?
Answer» a. 2365 B. 3255 c. 4224 d. 1236 Answer :B

Discussion

4364.	Three persons Amar, Akbar and Anthony agree to pay their hotel bills in the ratio of 3:4:5 Amar pays the first day’s bill which amounts to Rs. 26.65, Akhar pays the second days bill which amounts to Rs. 42.75 and C pays the third day’s bill which amounts to Rs. 53.00. When they settle their accounts. Which of the following happens?
Answer» a. AMAR gives Rs. 3 to C b. Akbar gives Rs. 2 to Amar c. Amar gives Akbar Rs. 1.95 and Rs. 2 to Anthony d. None of these Answer :C

Discussion

4365.	Find the value of sin(22 1/2)^@ :
Answer» `sqrt((2-sqrt2))/2` `sqrt((2-sqrt3))/3` `sqrt(2-sqrt2)/4` NONE of these Answer :A

Discussion

4366.	Which one of the following is a factor of x^4-5x^3+5x^2-10x+24?
Answer» `(x+2)` `(x+4)` `(x-2)` NONE of these Answer :C

Discussion

4367.	cos15^(@)cos7""(1)/(2)""^(@).cos82""(1)/(2)""^(@)=?
Answer» `(1)/(2)` `(1)/(8)` `(1)/(4)` `(1)/(16)` ANSWER :A

Discussion

4368.	Given that (1+tan1^@)(1+tan2^@)+...........+(1+tan45^@)= 2^n find n .
Answer» ANSWER :`n=23`

Discussion

4369.	Find B and C of a triangle ABC, if b = 2 cm, c = 1 cm and A=60^(@).
Answer» `90^@` and `45^@` `90^@` and `30^@` `60^@` and `30^@` NONE of these Answer :B

Discussion

4370.	B is 20% more efficient than A. B started the work & do it for x days. And then B is replaced by A, A completed the remaining work in x+8 days. Ratio of work done by A & B is 3:2 IN how many days A & B working together complete the whole work?
Answer» ` 13 11/17 DAYS` ` 12 7/11 days` ` 13 7/11 days` ` 12 8/13 days ` Solution :Efficiency ratio A and ` B = 5:6` And time ratio A and `B = 6 : 5` i.e. in 1 day A and B TOGETHER do 6 + 5 = 11 units work Now, `("Work done by B")/("Work done by A") = (6xx x)/ (5xx(x+8) = 2/3` `x=10` B does ` 10 xx 6 = 60` units work A does `(10 + 8)xx 5 = 90` units work So, TOTAL work i.e. `60+90 = 150` units will be COMPLETED by A and B together inn `150/11 i.e. 13 7/11` days

Discussion

4371.	At what time between 7 o clock and 8 o clock will the handsof a clock be in the same straight line but not together
Answer» Answer :`5(5)/(11)` MIN PAST 7

Discussion

4372.	If x^(4) + y^(4)=19 and x+y=1 find x^(2)y^(2)-2xy
Answer» ANSWER :9

Discussion

4373.	When a shirt was sold at discount of 20% a person gets profit of 87.5% due to some reason C.P. was increased by 25% and M.P. by Rs 500 and discount offered also increased 25% and person gains the same profit . Find final S.P. ?
Answer» ANSWER :RS. 1500

Discussion

4374.	a +b+c= 3, (1)/(a) + (1)/(b) + (1)/(c )=2 a^(2) + b^(2) + c^(2)=6 find abc=?
Answer» ANSWER :`(3)/(4)`

Discussion

4375.	If x=3 and y=4 , find the value of 18xy
Answer» SOLUTION :`18xy=18xx3xx4=216`

Discussion

4376.	If f(x)=2x+3 and g(x)=9x+6, then find g[f(x)]-f[g(x)]
Answer» 18 22 20 none of these Answer :A

Discussion

4377.	Radha and Shyam start travelling from Delhi to Goa at the speed of 15 km/h and 12 km/h respectively. After half an hour Meera also leaves from Delhi to Goa. After same time Meera crosses Shyam and 90 minutes further on Meera crosses Radha. Find the speed of Meera.
Answer» ANSWER : 18 km/h

Discussion

4378.	If (x+ y)^(2) = 21 + z^(2), (y+z)^(2)= 32 + x^(2) and (z+ x)^(2) = 28+ y^(2), find x+ y+ z=?
Answer» ANSWER :`+- 9`

Discussion

4379.	When each side of a cube is increased by 2cm, the volume is increased by1016 cm^(3) . Find the side of the cube. If each side of it is decreased by 2 cm, by how much will the volume decrease ?
Answer» `12 cm,729 cm^3` `8 cm, 512 cm^3` `9 cm, 729 cm^3` `12 cm, 728 cm^3` Answer :D

Discussion

4380.	Even after a discount of q% on marked price a trader gains by p% What is the markup percentage over the cost price?
Answer» `(p+q)/((q-p))XX100` `(p+q)/((100-p))xx100` `(p+q)/((100-p))xx100` not possible Answer :C

Discussion

4381.	A sum of money becomes 3 times of itself in 6 years at compound interest. In how many years will it become 81 times?
Answer» ANSWER :24 YEARS

Discussion

4382.	A persons P starts his journey from A and another person Q starts his journey from B, towards each other. The speeds of P and Q are 16 km/h and 25 km/h respectivley and they meet at point M somewhere between A and B when they start their journey simultaneously. What is the ratio of time taken by P and Q after meeting each other at M to reach B and A respectively?
Answer» 0.68402777777778 0.042361111111111 1.0527777777778 0.17013888888889 Answer :C

Discussion

4383.	If f(A, B)=A#B=A^(4)-B^(3)+A^(2)-B+AB then find the value of f(3, 4)
Answer» SOLUTION :F(3,4)=3#4=`3^4-4^3+3^2-4+(3xx4)`

Discussion

4384.	7p^2+4sqrt7p-5=0 sqrt77q^2-(10sqrt7+sqrt11)q+10=0
Answer» `pltq` `pgtq` `pleqq` can't be determined Answer :C

Discussion

4385.	The value of 1/(log_(100)n) + 1/(log_(99)n) + 1/(log_(98)n) +……..+1/(log_(2)n) is,
Answer» 1 `1/(log_(1001)N)` `1/(log_(n)991)` `1/(log_(n)1001)` ANSWER :B

Discussion

4386.	Compound Interest on a sum of money is Rs. 350 in 4 years at33(1)/(3) %per annum. Find that sum.
Answer» ANSWER :RS. 162

Discussion

4387.	If alpha+beta=90^(@),alpha=2beta, then find the value of cos^(2)alpha+sin^(2)beta.
Answer» `(1)/(2)` `(3)/(4)` `(3)/(2)` `(4)/(3)` ANSWER :A

Discussion

4388.	What is the percentage increase in profit of shopkeeper S in the month of December 2009 over the previous month?
Answer» `3.15 %` `2.67 %` `2.18 %` `3.33 %` ANSWER :D

Discussion

4389.	The number of numbers from 1000 to 9999 (both inclusive) that do not have all 4 different digits, is:
Answer» 4446 4664 4464 6444 Answer :C

Discussion

4390.	Chris windener had a servent who was determined to be paid $ 250, a wrist watch and a ration for whole year? But after 9 months Widener migrated to India and he has just paid him $270 and the ration for the 9 months. What is the cost of wrist watch?
Answer» 20 120 110 data insufficient. Answer :C

Discussion

4391.	If a=2b and A=3B, find the angles A, B, C of DeltaABC :
Answer» `90^@, 30^@, 60^@` `30^@, 60^@, 90^@` `45^@, 45^@, 90^@` DATA insufficient Answer :A

Discussion

4392.	Find the simple interest on Rs. 5000 at 8% per annum in 3 years
Answer» ANSWER :RS. 1200

Discussion

4393.	A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minute to the deer's 4. if the tiger and the deer cover 8 m and 5 m per leap respectively what distance will the tiger have to run before it catches the deer?
Answer» 600 m 700 m 800 m 1000 m Answer :C

Discussion

4394.	For what value of p, the equation (p-1)(2p+1)xx^2+(p^2-1)xx+(p-1)(p-3)=0 is an identity (or hs more than two solutions)?
Answer» `-1` `-1//2` 1 `1//3` ANSWER :C

Discussion

4395.	Let ABC be an equilateral triangle. Let BE bot CA meeting CA at E, then (AB^2+BC^2+CA^2) is equal to :
Answer» `2BE^2` `3BE^2` `4BE^2` `6BE^2` ANSWER :C

Discussion

4396.	If income of Vandana is 25% more than that of Aarti, then income of Aarti is how much per cent less than that of Vandana?
Answer» `42%` `45%` `35%` none of these Answer :C

Discussion

4397.	Solve the following questions on the basis of given data in the following table : Out of the given years which year has shown least increase (in amount) over the previous year :
Answer» 1940-41 1960-61 1920-21 2000-01 Answer :C

Discussion

4398.	Two circles touch each other externally at point P. A common tangent AB is drawn touching the circles at A and B. Find angleAPB.
Answer» `90^(@)` `120^(@)` `60^(@)` NONE of these ANSWER :A

Discussion

4399.	Vertical angles of two isoceles triangles are equal. Then corresponding altitudes are in the ratio 4:9. Find the ratio of their areas :
Answer» 16:49 16:81 16:65 none of these Answer :B

Discussion

4400.	A person's salary has increased from rs. 14400 to rs. 16200. What is the percentage increase in his salary?
Answer» a. 25% B. 12.5% C. 20% d. 35% Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

The sum of three numbers in G.P. is 70, if the two extremes be multipled each by 4 and the mean by 5, the new numbers so formed are in A.P. Find the product of original numbers :

A dealer by selling 12 oranges gets the cost price of 15 oragnes. What is the percentage profit ?

If in any triagnle a=13cm, b= 14 cm and c = 15cm, find the inradius of the circle :

What is the percentage change in the result when we add 50 to a certain number x, instead of subtracting 50 from the same number x?

Which one of the following is not a factor of this polynomial x^(8) + x^(4) + 1 ?

11.699997 + 18.0011 + 7.0009 xx 4.9898= sqrt(?)

If (x+1/x)=2 then the value of (x^5+1/x^5) is:

A customer asks for the production of x number of goods. The company produces y number of goods daily. Out of which z% are unfit for sale. The order will be completed in :

The maximum value of the function f(x)=2x^3-15x^2+36x-48on the set A={x|x^2+20le9x}is

If 3a=4b=6c and a+b+c=27sqrt(29) then sqrt(a^(2)+b^(2)+c^(2)) is equal to

A person spends 80%of his income . If hisincome increase by 35% and hisexpenditureincreasesby 37 (1)/(2)% . Byhow muchpercentof hissavingwill increaseor decreases ?

Ravi obtained 325 marks out of a maximum of 400 marks. Find the percentage of marks obtained by him.

There are 3 books of mathematics, 4 of science and 5 of literature. How many different collections can be made such that each collection consists of.if atleastone bookon eachsubjects is taken ?

Find the value of sin(22 1/2)^@ :

Which one of the following is a factor of x^4-5x^3+5x^2-10x+24?

cos15^(@)cos7""(1)/(2)""^(@).cos82""(1)/(2)""^(@)=?

Given that (1+tan1^@)(1+tan2^@)+...........+(1+tan45^@)= 2^n find n .

Find B and C of a triangle ABC, if b = 2 cm, c = 1 cm and A=60^(@).

B is 20% more efficient than A. B started the work & do it for x days. And then B is replaced by A, A completed the remaining work in x+8 days. Ratio of work done by A & B is 3:2 IN how many days A & B working together complete the whole work?

At what time between 7 o clock and 8 o clock will the handsof a clock be in the same straight line but not together

If x^(4) + y^(4)=19 and x+y=1 find x^(2)y^(2)-2xy

When a shirt was sold at discount of 20% a person gets profit of 87.5% due to some reason C.P. was increased by 25% and M.P. by Rs 500 and discount offered also increased 25% and person gains the same profit . Find final S.P. ?

a +b+c= 3, (1)/(a) + (1)/(b) + (1)/(c )=2 a^(2) + b^(2) + c^(2)=6 find abc=?

If x=3 and y=4 , find the value of 18xy

If f(x)=2x+3 and g(x)=9x+6, then find g[f(x)]-f[g(x)]

Radha and Shyam start travelling from Delhi to Goa at the speed of 15 km/h and 12 km/h respectively. After half an hour Meera also leaves from Delhi to Goa. After same time Meera crosses Shyam and 90 minutes further on Meera crosses Radha. Find the speed of Meera.

If (x+ y)^(2) = 21 + z^(2), (y+z)^(2)= 32 + x^(2) and (z+ x)^(2) = 28+ y^(2), find x+ y+ z=?

When each side of a cube is increased by 2cm, the volume is increased by1016 cm^(3) . Find the side of the cube. If each side of it is decreased by 2 cm, by how much will the volume decrease ?

Even after a discount of q% on marked price a trader gains by p% What is the markup percentage over the cost price?

A sum of money becomes 3 times of itself in 6 years at compound interest. In how many years will it become 81 times?

If f(A, B)=A#B=A^(4)-B^(3)+A^(2)-B+AB then find the value of f(3, 4)

7p^2+4sqrt7p-5=0 sqrt77q^2-(10sqrt7+sqrt11)q+10=0

The value of 1/(log_(100)n) + 1/(log_(99)n) + 1/(log_(98)n) +……..+1/(log_(2)n) is,

Compound Interest on a sum of money is Rs. 350 in 4 years at33(1)/(3) %per annum. Find that sum.

If alpha+beta=90^(@),alpha=2beta, then find the value of cos^(2)alpha+sin^(2)beta.

What is the percentage increase in profit of shopkeeper S in the month of December 2009 over the previous month?

The number of numbers from 1000 to 9999 (both inclusive) that do not have all 4 different digits, is:

Chris windener had a servent who was determined to be paid $ 250, a wrist watch and a ration for whole year? But after 9 months Widener migrated to India and he has just paid him $270 and the ration for the 9 months. What is the cost of wrist watch?

If a=2b and A=3B, find the angles A, B, C of DeltaABC :

Find the simple interest on Rs. 5000 at 8% per annum in 3 years

A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minute to the deer's 4. if the tiger and the deer cover 8 m and 5 m per leap respectively what distance will the tiger have to run before it catches the deer?

For what value of p, the equation (p-1)(2p+1)xx^2+(p^2-1)xx+(p-1)(p-3)=0 is an identity (or hs more than two solutions)?

Let ABC be an equilateral triangle. Let BE bot CA meeting CA at E, then (AB^2+BC^2+CA^2) is equal to :

If income of Vandana is 25% more than that of Aarti, then income of Aarti is how much per cent less than that of Vandana?

Solve the following questions on the basis of given data in the following table : Out of the given years which year has shown least increase (in amount) over the previous year :

Two circles touch each other externally at point P. A common tangent AB is drawn touching the circles at A and B. Find angleAPB.

Vertical angles of two isoceles triangles are equal. Then corresponding altitudes are in the ratio 4:9. Find the ratio of their areas :

A person's salary has increased from rs. 14400 to rs. 16200. What is the percentage increase in his salary?