8677 + Interview Questions in Maths in Class 14 Page 141 InterviewSolution

7001.	If 3costheta=5sintheta, then ((5sintheta-2sec^(3)theta+2costheta)/(5sintheta+2sec^(3)theta-2costheta))=?
Answer» `(371)/(799)` `(171)/(979)` `(271)/(979)` `(979)/(271)` ANSWER :A::B

Discussion

7002.	David set his watch at 6:10 am on Sunday, which gains 12 minutes in a day. On Wednesday if this watch is showing 2:50 pm. What is the correct time?
Answer» `1:50` PM `2:10` pm `2:30` pm `3:30` pm Answer :B

Discussion

7003.	If (1)/(a+1) + (1)/(1+b) + (1)/(1 + c) =1 find (a)/(1+a) + (b)/(1+b) + (c )/(1+c)= ?
Answer» ANSWER :2

Discussion

7004.	Simplify (a^(4)b^(5//3))^(-3//4).
Answer» ANSWER :`a^(-3)B^(-3//4)`

Discussion

7005.	An article was sold at 10% profit. Had it purchased at 5% less and sold at Rs 110 less there would have been profit of 10%. Find C.P. of article?
Answer» ANSWER :RS. 2000

Discussion

7006.	The sum of the H.C.F. and L.C.M of two number is 680 and the L.C.M is 84 times the H.C.F. If one of the numbers is 56 , the other is :
Answer» 84 12 8 96 Answer :D

Discussion

7007.	Find the value of (b^2)^5log_bx:
Answer» `10^x` `x^4` 10X `x^10` ANSWER :D

Discussion

7008.	If (x+y+z)=6 and (xy+yz+zx)=11, then the value of (x^(3)+y^(3)+z^(3)-3xyz) is :
Answer» 81 54 18 none of these Answer :C

Discussion

7009.	Find the y-intercept of ((x+2)(x+1)(x-3))/(x^2(x-3)(3x+8)
Answer» SOLUTION :For y-intercept `F(0)=((0+2)(0+1)(0-3))/((0)^2(0-3)(3xx0+8))=-6/0` That means the given function is not DEFINED at `x=0`. Therefore there is no y-intercept for this RATIONAL function.

Discussion

7010.	Sharabi chand purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3:4 and in the second mixture it is 5:6. If he mixes the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol of water is 4:5, the quantity of first mixture (whose ratio is 3:4) is required to make the 18 litres of the third kind of mixture is :
Answer» 6 7 8 9 Answer :B

Discussion

7011.	A person calculates 33(1)/(3)% profit at S.P. find his profit at C.P.
Answer» 20% 40% 50% 60% ANSWER :50% PROFIT

Discussion

7012.	Satyam took loan from IDIDI Bank for his 2 years course of MBA at IMD. He took the loan of ₹ 6 lakh such that he would be charged at 8% per annum at CI during his course and at 10% CI after the completion of course. He returned half of the amount which he had to be paid on the completion of his studies and remaining after 2 years What is the total amount returned by Satyam ?
Answer» RS. 7.73323 lakh Rs. 7.58 lakh Rs. 736 lakh none of these Answer :A

Discussion

7013.	Four friends A, B, C and D have some money among them one day they decided to equate the money, so first A gave B what B had initially, then B gave C what C had initially. Again C gave D what D had initially and finally D gave A what A had now. Thus each of them had equal sum of ₹ 48. What was the initial amount of B?
Answer» a. RS. 3600 b. Rs. 54 C. Rs. 42 d. Rs. 36 Answer :C

Discussion

7014.	Find the critical numbers of the rational polynomial (x^2+1)/(x^2-x-6).
Answer» SOLUTION :`(x^2+1)/(x^2-x-6)=((x^2+1))/((x+2)(x-3))` Since the ROOTS of `x^2+1` are non-real, so these are not considerable. But the roots of `x^2-x-6` are (-2,3), which are real. Therefore the critical POINTS are -2 and 3.

Discussion

7015.	Radhey can walk along the boundary of a rectangular field and also along the diagonals of the field. His speed is 53 km/h. The length of the field is 45 km. Radhey started from one corner and reached to the diagonally opposite corner in 1 hour. What is the area of the field?
Answer» `860 km^2` `1260 km^2` `1060 km^2` can't be determined Answer :B

Discussion

7016.	A, B and C participated in a race. A covers the same distance in 49 steps, as B covers in 50 steps and C in 51 steps. A takes 10 steps in the same time as B takes 9 steps and C takes 8 steps. Who is the winner of the rece?
Answer» a)A b)B c)C d)can't be determined Answer :A

Discussion

7017.	If a^b = b^a, (a != b) > 1, then the value of (a div b) is :
Answer» 5 6 7 does not exist Answer :B

Discussion

7018.	A spherical ball of lead 6 cm in radius is melted and recast into three spherical balls. The radii of two of these balls are 3cm and 4 cm. What is the radius of the third sphere ?
Answer» 4.5 cm 5 cm 6 cm 7 cm Answer :B

Discussion

7019.	If log_(3)2, log_(3)(2^(x)-5) and log_(3)(2^(x)-7//2) are in AP then x is equal to:
Answer» 2 3 4 5 Answer :B

Discussion

7020.	A person wanted to buy some chairs whose costwas Rs.300 each. Seller offer him a discount suchthat after buying 15 chairs. the person have topay the cost of 12 chairs and rest 3 chairs are at Rs.90 each. Find the discount percentage
Answer» `5%` `20%` `14%` `10%` ANSWER :A

Discussion

7021.	A leak in the bottom of tank can empty the full tank in 6 hours, An inlet pipe fills water at the rate of 4 litres a minute, When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours Find the capactiy of the tank.
Answer» a) 5760 litres b) 96 litres c) 10 litres d) 24 litres Answer :A

Discussion

7022.	On selling 80 articles for Rs 140 a person incurred loss of 30%. How many articles he should sell for Rs 104 to earn profit of 30%.
Answer» ANSWER :32

Discussion

7023.	If psectheta-qtantheta=10&ptantheta-qsectheta=8. Find p^(2)-q^(2)+4
Answer» ANSWER :40

Discussion

7024.	If log_(x)(0.2) =-1/4, then the value of x is:
Answer» `4^(-5)` 0.016 `5^4` NONE of these Answer :C

Discussion

7025.	I12x^(2) - x -1 = 0 ""II. 20y^(2) - 41y+20 = 0
Answer» ` x gt y` ` x GE y` ` x lt y` Relationship between x and y cannot be determined SOLUTION :I. ` 12x^(2) - x - 1 = 0` `x_(1) =(-b+sqrtD)/(2a) =(1+sqrt(1-4 xx12xx-1))/24` ` =(1+7)/24 = 8/24 = 1/3` ` x_(2) = (-b-sqrtD)/(2a) ` ` x_(2) = (1-7)/24 = (-6)/24 = (-1)/4` ` x = 1/3, -1/4` II` 20y^(2)-41y+20=0` ` y_(1) = (41-sqrt(1681-1600))/40` ` y_(2) = (41-sqrt(1681-1600))/40` ` y_(1) = (41+9)/40 = 50/40,y_(2) = 32/40` ` y = 5/4,4/5 RARRX lt y`

Discussion

7026.	For real x,y such that f(x) ne 0, if f(x+y) = f(x).f(y), what's the value of f(100x)?
Answer» `(F(X))^100` `(f(x))^99` `99(f(x))^100` `((f(x))^99)/100` ANSWER :A

Discussion

7027.	sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+ .....+sin^(2)85^(@)+sin^(2)90^(@) is equal to
Answer» `7(1)/(2)` `8(1)/(2)` 9 `9(1)/(2)` Answer :D

Discussion

7028.	If tantheta-cottheta=a and costheta+sintheta=b, then (b^(2)-1)^(2)(a^(2)+4)=?
Answer» 2 `-4` `PM4` 4 Answer :D

Discussion

7029.	What is the value of (2.75xx2.75xx2.75-2.25xx2.25xx2.25)/(2.75xx2.75+2.75xx2.25+2.25xx2.25)
Answer» SOLUTION :`THEREFORE a^3-b^3=(a-b)(a^2+b^2+ab)` `therefore (a^3-b^3)/(a^2+b^2+ab)=((a-b)(a^2+b^2+ab))/((a^2+b^2+ab))=(a-b)` `therefore` The VALUE of the EXPRESSION = 2.75-2.25=0.50

Discussion

7030.	I. 12x^(2)- x - 1 = 0 II.20y^(2) - 41y + 20 = 0
Answer» `X gt y` ` x GE y` ` x LT y` Relationship between x and y cannot be determined Solution :I. ` 12x^(2) -x -1 = 0` ` rArr12x^(2) -4X + 3x -1` ` rArr(4x+1) (3x-1) = 0` ` rArr(4x+1) (3x-1) = 0` ` rArr: . X =- 1//4, 1//3`

Discussion

7031.	Thereare 3 red ,4 greenand 5 pinkmarblesin a bag . They aredrawnoneby oneand arrangedin a row . Assuming thatall the12 marblesaredrawndeterminethe number ofdifferent arrangements
Answer» a. 22770 B. 27720 c. 22077 d. 27270 Answer :B

Discussion

7032.	Railneer is packaged in a water bottling plant, with die help of two machines andM_1. and M_2. M_1 and M_2 produces 400 and 600 bottles per minute. One day’s production can be processed by M_1 operating alone for 9 hours, by M_2 operating alone for 6 hours or by both and M_1 and M_2 operating simultaneously for 3 hours and 36 minutes. If one days production is processed by M_1 operating alone for 1/3of the time and M_1 and M_2 simultaneously operating for 2/3 of the time, then in how many hours total production of one day will be completed?
Answer» 2 3 4.5 4.8 Answer :C

Discussion

7033.	If the diagonals of a cyclic quadrilateral are equal, then the quadrilateral is:
Answer» rhomubs square rectangle none of these Answer :C

Discussion

7034.	Find the number of ways, in which 10 boys can form a ring?
Answer» ANSWER :362880

Discussion

7035.	Find the differentiation of the function: f(x)=x/(1−x^2) at x=2
Answer» `5/7` `2/3` `5/9` NONE of the above Answer :A

Discussion

7036.	Solve the following expressions . (36)^(1//2)
Answer» ANSWER :`6^(1/3)`

Discussion

7037.	If 15% of A is equal to 20% of B, then 25% of A is equal to what per cent of B ?
Answer» `30%` `33.33%` `41%` `52%` ANSWER :B

Discussion

7038.	A vessel contains 500 litre of milk. 50 litre of milk taken out from it and replaced by water. Then again from mixture 100 litre taken out and replaced by water. mixture 100 litre taken out and replaced by water.Then again from mixture 125 litre taken out andreplaced by water. Find the ratio of milk and water in the resultant mixture.
Answer» ANSWER :`27: 23`

Discussion

7039.	Sachin bought 1.5 kg fresh grapes. The ratio of water is to pulp was 4 : 1. When his naughty child crushed these grapes, then some water get wasted. Now the ratio of water is to pulp is 3 : 2. What is the total amount of the crushed grapes?
Answer» 0.5 kg 1 kg 0.75 kg None of these Answer :C

Discussion

7040.	How many 6 digit numbers can be formed out of the digits of the number 113113?
Answer» 15 180 888 222 Answer :A

Discussion

7041.	A straight line L is perpendicular to the line 5x -y =1 . The area of the triangle formed by the line L and coordinate axes is 5. Find the equation to the line :
Answer» a. `x+5y = PM 5sqrt2` B. `x-3y=0` C. `2x+y=0` d. `x+4y=5sqrt2` ANSWER :D

Discussion

7042.	If log_(10 ) x - log_(10) sqrt(x) = (2)/(log_(10 )x). The value of x is
Answer» ANSWER :`x=100, 1/100`

Discussion

7043.	The total distance covered by the carriers in providing the tiffins from centre 'O' to the last point in one way only is :
Answer» 30 km 28 km 35 km none of these Answer :A

Discussion

7044.	factorize the following numbers into the prime factors 3315
Answer» SOLUTION :`3xx5xx13xx17`

Discussion

7045.	The average age of a couple was 26 years at the time of marriage. After 11 years of marriage, the average age of the family with 3 children become 19 years. The average age of the children is
Answer» a. 8 b. 7 c. 9 d. 10 Answer : Rs. 60000

Discussion

7046.	If (x-1) is a factor of (x^(3)-m), then the value of m is :
Answer» -6 -5 1 3 Answer :C

Discussion

7047.	The sum of the following series (1^2 +1) + (2^2 + 2) + (3^2 + 3) + (4^2 + 4) + …..+(n^2 + n) is :
Answer» `a)N^3` B)`((n^2 + n)5)/(3)` c)`(n(n + 1)(n+2))/(3)` d)can't be determined Answer :C

Discussion

7048.	There are 3 pots and 4 coins. All these coins are to be distributed into these pots where any pot can contain any number of coins. In how many ways all these coins can be distributed if out of 4 coins 2 coins are identical and all pots are different?
Answer» 45 27 54 none of these Answer :C

Discussion

7049.	The radius of a circle is twice the side of a square, whose area is 196sq m. The length of rectangle is twice the diameter of circle. What is the perimeter of a rectangle, if its breadth is half the length.
Answer» a. 330cm b. 300cm C. 336cm d. NONE of these Answer :C

Discussion

7050.	There are 3 pots and 4 coins. All these coins are to be distributed into these pots where any pot can contain any number of coins. In how many ways all these coins can be distributed such that no pot is empty if all coins are identical but all pots are different?
Answer» 6 3 9 27 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

If 3costheta=5sintheta, then ((5sintheta-2sec^(3)theta+2costheta)/(5sintheta+2sec^(3)theta-2costheta))=?

David set his watch at 6:10 am on Sunday, which gains 12 minutes in a day. On Wednesday if this watch is showing 2:50 pm. What is the correct time?

If (1)/(a+1) + (1)/(1+b) + (1)/(1 + c) =1 find (a)/(1+a) + (b)/(1+b) + (c )/(1+c)= ?

Simplify (a^(4)b^(5//3))^(-3//4).

An article was sold at 10% profit. Had it purchased at 5% less and sold at Rs 110 less there would have been profit of 10%. Find C.P. of article?

The sum of the H.C.F. and L.C.M of two number is 680 and the L.C.M is 84 times the H.C.F. If one of the numbers is 56 , the other is :

Find the value of (b^2)^5log_bx:

If (x+y+z)=6 and (xy+yz+zx)=11, then the value of (x^(3)+y^(3)+z^(3)-3xyz) is :

Find the y-intercept of ((x+2)(x+1)(x-3))/(x^2(x-3)(3x+8)

A person calculates 33(1)/(3)% profit at S.P. find his profit at C.P.

Find the critical numbers of the rational polynomial (x^2+1)/(x^2-x-6).

Radhey can walk along the boundary of a rectangular field and also along the diagonals of the field. His speed is 53 km/h. The length of the field is 45 km. Radhey started from one corner and reached to the diagonally opposite corner in 1 hour. What is the area of the field?

A, B and C participated in a race. A covers the same distance in 49 steps, as B covers in 50 steps and C in 51 steps. A takes 10 steps in the same time as B takes 9 steps and C takes 8 steps. Who is the winner of the rece?

If a^b = b^a, (a != b) > 1, then the value of (a div b) is :

A spherical ball of lead 6 cm in radius is melted and recast into three spherical balls. The radii of two of these balls are 3cm and 4 cm. What is the radius of the third sphere ?

If log_(3)2, log_(3)(2^(x)-5) and log_(3)(2^(x)-7//2) are in AP then x is equal to:

A person wanted to buy some chairs whose costwas Rs.300 each. Seller offer him a discount suchthat after buying 15 chairs. the person have topay the cost of 12 chairs and rest 3 chairs are at Rs.90 each. Find the discount percentage

A leak in the bottom of tank can empty the full tank in 6 hours, An inlet pipe fills water at the rate of 4 litres a minute, When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours Find the capactiy of the tank.

On selling 80 articles for Rs 140 a person incurred loss of 30%. How many articles he should sell for Rs 104 to earn profit of 30%.

If psectheta-qtantheta=10&ptantheta-qsectheta=8. Find p^(2)-q^(2)+4

If log_(x)(0.2) =-1/4, then the value of x is:

I12x^(2) - x -1 = 0 ""II. 20y^(2) - 41y+20 = 0

For real x,y such that f(x) ne 0, if f(x+y) = f(x).f(y), what's the value of f(100x)?

sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+ .....+sin^(2)85^(@)+sin^(2)90^(@) is equal to

If tantheta-cottheta=a and costheta+sintheta=b, then (b^(2)-1)^(2)(a^(2)+4)=?

What is the value of (2.75xx2.75xx2.75-2.25xx2.25xx2.25)/(2.75xx2.75+2.75xx2.25+2.25xx2.25)

I. 12x^(2)- x - 1 = 0 II.20y^(2) - 41y + 20 = 0

Thereare 3 red ,4 greenand 5 pinkmarblesin a bag . They aredrawnoneby oneand arrangedin a row . Assuming thatall the12 marblesaredrawndeterminethe number ofdifferent arrangements

If the diagonals of a cyclic quadrilateral are equal, then the quadrilateral is:

Find the number of ways, in which 10 boys can form a ring?

Find the differentiation of the function: f(x)=x/(1−x^2) at x=2

Solve the following expressions . (36)^(1//2)

If 15% of A is equal to 20% of B, then 25% of A is equal to what per cent of B ?

Sachin bought 1.5 kg fresh grapes. The ratio of water is to pulp was 4 : 1. When his naughty child crushed these grapes, then some water get wasted. Now the ratio of water is to pulp is 3 : 2. What is the total amount of the crushed grapes?

How many 6 digit numbers can be formed out of the digits of the number 113113?

A straight line L is perpendicular to the line 5x -y =1 . The area of the triangle formed by the line L and coordinate axes is 5. Find the equation to the line :

If log_(10 ) x - log_(10) sqrt(x) = (2)/(log_(10 )x). The value of x is

The total distance covered by the carriers in providing the tiffins from centre 'O' to the last point in one way only is :

factorize the following numbers into the prime factors 3315

The average age of a couple was 26 years at the time of marriage. After 11 years of marriage, the average age of the family with 3 children become 19 years. The average age of the children is

If (x-1) is a factor of (x^(3)-m), then the value of m is :

The sum of the following series (1^2 +1) + (2^2 + 2) + (3^2 + 3) + (4^2 + 4) + …..+(n^2 + n) is :

There are 3 pots and 4 coins. All these coins are to be distributed into these pots where any pot can contain any number of coins. In how many ways all these coins can be distributed if out of 4 coins 2 coins are identical and all pots are different?

The radius of a circle is twice the side of a square, whose area is 196sq m. The length of rectangle is twice the diameter of circle. What is the perimeter of a rectangle, if its breadth is half the length.

There are 3 pots and 4 coins. All these coins are to be distributed into these pots where any pot can contain any number of coins. In how many ways all these coins can be distributed such that no pot is empty if all coins are identical but all pots are different?