8677 + Interview Questions in Maths in Class 14 Page 37 InterviewSolution

1801.	A person travelled 2560 km partly by aeroplane, partly by ship and rest by car. The time taken by aeroplane, ship and car are in the ratio 1: 4:5 and the ratio of average speed by all three means is 20:1 : 8. If average speed in whole trip is 64 km/hr then find the speed of ship, time taken by ship and distance travelled by ship.
Answer» 10 km/hr, 16 hr, 160 km 20 km/hr, 12 hr, 150 km 30 km/hr, 18 hr, 140 km 23 km/hr, 17 hr, 120 km Answer :A

Discussion

1802.	Solve (x+3)^(2)-(x-1)^(5)ge244.
Answer» `(-OO,-1)UU(1,oo)` `(-oo,-2)uu(0,oo)` `(-oo,-2)uu(0,oo)` NONE of these Answer :B

Discussion

1803.	Find the C.I. of Rs. 7500 at 4% per annum for 2 years.
Answer» ANSWER :RS. 612

Discussion

1804.	A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price. one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is
Answer» ANSWER :2% PROFIT

Discussion

1805.	If x^(1//3) + y^(1//3) + z^(1//3) = 0 then the value of( x+y+z)^ 3is :
Answer» 27 27 XYZ 81 `(xyz)^3` ANSWER :B

Discussion

1806.	A wholesaler sells toys at a profit of 20% to a retailer and retailer sells these toys to its customer at a profit of 25%. What is the profit percentage of the retailer at orignal cp?
Answer» `5%` `80%` `20 %` `25%` ANSWER :D

Discussion

1807.	Find max^(m)&min^(m) value of sin^(2)theta+cos^(4)theta
Answer» ANSWER :`(3)/(4)`

Discussion

1808.	Consider n points in a plane no three of which are collinear and the ratio of number of hexagon and octagon that can be formed from these n points is 4:13 then find the value of n.
Answer» A. 33 B. 41 C. 20 D. none of these ANSWER :B

Discussion

1809.	What was the day of the week on 5th june 2002 ?
Answer» a) Wednesday b) SATURDAY C) FRIDAY d) MONDAY ANSWER :A

Discussion

1810.	What is the sum of n terms of the series -1 + 1^2 - 2 + 2^2 - 3 + 3^2 … ?
Answer» `(N(n^2+1))/3` `n^2+n` `(n(n^2-1))/3` none Answer :D

Discussion

1811.	Find the number of diagonals in an n-sided polygon.
Answer» `N^2` `(n(n-3))/(2)` `n!` `2^n` ANSWER :B

Discussion

1812.	If log_(10)x, log_(10)y, log_(10)z are in AP, then x,y,z are in:
Answer» AP GP HP none of these Answer :B

Discussion

1813.	What is the value of 0.007 + 0.00bar( 7 ) + 17. bar( 83) + 310.020bar(2) ?
Answer» 327.86638 328.644 327.86683 `327.866bar(8)` ANSWER :B

Discussion

1814.	There were five sections in MAT paper. The average score of Pooja in first 3 sections was 83 and the average in the last 3 sections was 96 and the average of all the sections (i.e., whole paper) was 92, then her score in the third section was :
Answer» 85 92 88 none of these Answer :D

Discussion

1815.	30 men can do a piece of work in 14 days. After how many days 10 men left the work that work should be done in 16 days?
Answer» 10 5 16 can’t be determined Answer :D

Discussion

1816.	A sum of Rs. 2400 amounts to Rs 3350 in 4 years at simple interest. If the ratio of interest in increased by 1% it would amount to how much ?
Answer» ANSWER :RS 3446

Discussion

1817.	x"@"y=xy-1, if x gty =0," otherwise" and x#y=(x+y)/(x-y) if x ge0, y ge 0 =1," otherwise." The value of ((4#2)"@"(9#(-1)))/((2"@"3)#(5"@"2)):
Answer» 1 -2 0 none of these Answer :B

Discussion

1818.	Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3 . Find the products of the first and fourth term of the A.P. :
Answer» 12 16 20 25 Answer :B

Discussion

1819.	Renuka got married 8 years ago. Today her age is 11/3 times her age at the time of marriage. Her daughter's age is 1/8 times her age. Her daughter's age is:
Answer» 3 years 4 years 6 years 8 years Answer :B

Discussion

1820.	HCF and LCM of a^(2)b^(3)c^(4) and a^(5)b^(4)c^(3) are :
Answer» `a^2b^3c^4, a^5b^4c^3` `a^2b^3c^3, a^2b^3c^4` `a^2b^3c^3, a^5b^4c^4` `a^5b^3c^3, a^5b^4c^3` ANSWER :C

Discussion

1821.	A dealer buys a product at ₹ 1920, he sells at a discount of 20% still he gets the profit of 20%. What is the selling price of that product?
Answer» ₹ 2304 ₹ 1536 ₹ 2200 it is not possible Answer :A

Discussion

1822.	Per cent Profit =("Income-Expenditure")/("Expenditure")xx100 What is the average percent profit earned by Company B over all the years together?
Answer» `16 (1)/(3)` `25 (1)/(3)` `18 (5)/(6)` None of the above Answer :D

Discussion

1823.	A and B can do a pieceof work in 45 and 40 days respectively. They began the work together butA leaves after some das and B finishedthe remaining work in 23 days. After how many days did A leave?
Answer» ANSWER :9 DAYS

Discussion

1824.	Let (x_0,y_0) be the solution of the following equations (2x)^(In2)=(3y)^(In3) 3^(Inx)=2^(Iny), then x_0 is
Answer» `1//6` `1//3` `1//2` 6 Answer :C

Discussion

1825.	Find the total number of squares when 8 vertical lines intersect 15 horizontal lines such that all the vertical lines are parallel and equidistant to each other, and all the horizontal lines are also parallel and equidistant to each other.
Answer» 336 456 1096 376 Answer :A

Discussion

1826.	Checkout that 12716 is divisible by 17 or not.
Answer» SOLUTION :Step 1: `1271 6 RARR 1271 - 6 xx 5 = 1241` `12411 rArr 124 - 1 xx 5 = 119` `119 rArr 11 - 9 xx 5 = - 34`

Discussion

1827.	Multiply 734 by 99.
Answer» SOLUTION :`743 XX 99 = 743 xx (100 - 1) = 74300 - 743 = 73557`

Discussion

1828.	Maximumnumberof pointsintowhich3 circlesand 3 lines intersect is :
Answer» 21 9 27 `3!` ANSWER :C

Discussion

1829.	A sphere of radius 9 cm is dropped into a cylindrical vessel partly filledwith water . The radius of the vessel is 12 cm. If the sphere is submerged completely , then the surface of the water rises by :
Answer» 27.5 cm 27 cm 12 cm 6.75 cm Answer :D

Discussion

1830.	The value of(1)/(15) + (1)/(35) + (1)/(63) + (1)/(99) + (1)/(143) is
Answer» `(5)/(39)` `(4)/(39)` `(2)/(39)` `(7)/(39)` ANSWER :A

Discussion

1831.	How long will it take C to finish the work alone?
Answer» 30 DAYS 22 days `(45)/(2)`days 25 days Answer :C

Discussion

1832.	Chords AB and CD of a circle interest at E and are perpendicular to each other. Segments AE, EB and ED are of lengths 2 cm, 6 cm and 3 cm respectively. Then the length of the diameter the circle in cm is :
Answer» ANSWER :`D = SQRT( 65) CM`

Discussion

1833.	12345/12346+12346/12347+12347/12345 is equal to :
Answer» 2.67 6.27 3 5 Answer :C

Discussion

1834.	A, B and C are start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they next meet at the starting point again?
Answer» SOLUTION :N/A

Discussion

1835.	If D is such a point on the side, BC of DeltaABC that (AB)/(AC)=(BD)/(CD), then AD must be a/an:
Answer» altitude of `DeltaABC` median of `DeltaABC` ANGLE BISECTOR of `DeltaABC` perpendicular bisector of `DeltaABC` ANSWER :C

Discussion

1836.	5x^(2) - 18x+9 =0 3y^(2) + 5y - 2 = 0
Answer» `x gt y` ` x lt y` ` x GE y` ` x le y` Solution :` 5x^(2) - 18X + 9 = 0` `x = 0.6, 3` ` 3y^(2) + 5Y - 2 = 0` ` y = 0.33, -2`

Discussion

1837.	If the sum of three consecutive integers is 21, then the sum of the two smaller integers is :
Answer» 11 5 12 13 Answer :D

Discussion

1838.	-x^2+2x+8ge0
Answer» `(-2,6) `(2,-4)` `[-2,4] `(-OO,-2]uu(-2,4)uu[4,oo)` ANSWER :C

Discussion

1839.	Find the logarithm of 144 to the base 2sqrt3:
Answer» a) 8 B) 4 c) `2SQRT3` d) none of these Answer :B

Discussion

1840.	Find two consecutive odd positive integers, sum of whose squares is 290
Answer» ANSWER :11 and 13

Discussion

1841.	If A takes 4//5 days as B-takes and working together they require (20)/3 days to complete the whole work. What is the efficiency of B ?
Answer» 6`2/3%` `16%` `5.55%` 8`1/3%`

Discussion

1842.	The sum of two numbers is 45. Their difference is 1/9 of their sum. Their LCM is:
Answer» 200 250 100 150 Answer :C

Discussion

1843.	Fourdice arethrownsimultaneously. Findthe probabilitythat : All of them show the sameface .
Answer» `1/216` `5/16` `15/36` `1/2` ANSWER :A

Discussion

1844.	Two dice are tossed once. Find the probability of getting an even number on the first die or a total of 8.
Answer» `4/9` `2/3` `5/9` `1/3` ANSWER :C

Discussion

1845.	A (-1, 4) and B(5, 4) are the end points of a line segment, find the coordinates of the mid points of the line segment :
Answer» (2, 4) (2, 3) (3, 2) (4, 3) ANSWER :A

Discussion

1846.	What is the area of the largest semicircle that can be inscribed in the square whose diagonal is asqrt2 units?
Answer» `0.12pia^2` `0.125pia^2` `0.22pia^2` `1.25pia^2` ANSWER :A

Discussion

1847.	The number of ways in which a team of 11 players can be selected from 22 players .including 2 of them and excluding 4 of them is
Answer» `"^(15)C_(10)` `"^(16)C_(10)` `"^(16)C_9` NONE of these Answer :C

Discussion

1848.	sec^(6)theta-tan^(6)theta-3tan^(2)theta.sec^(2)theta=?
Answer» 1 3 2 `-1` ANSWER :A

Discussion

1849.	By which smallest number should 5808 be multiplied so that it becomes a perfect square?
Answer» 2 7 11 3 Answer :D

Discussion

1850.	It is given that 16men working 18hr per day can build a wall 36m long, 4m broad and 24m high in 20 days . How many men will be required to build a wall 64 m long 6m broad and 18m high working12hr per day in 16 days ?
Answer» 60 20 30 35 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

Solve (x+3)^(2)-(x-1)^(5)ge244.

Find the C.I. of Rs. 7500 at 4% per annum for 2 years.

A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price. one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is

If x^(1//3) + y^(1//3) + z^(1//3) = 0 then the value of( x+y+z)^ 3is :

A wholesaler sells toys at a profit of 20% to a retailer and retailer sells these toys to its customer at a profit of 25%. What is the profit percentage of the retailer at orignal cp?

Find max^(m)&min^(m) value of sin^(2)theta+cos^(4)theta

Consider n points in a plane no three of which are collinear and the ratio of number of hexagon and octagon that can be formed from these n points is 4:13 then find the value of n.

What was the day of the week on 5th june 2002 ?

What is the sum of n terms of the series -1 + 1^2 - 2 + 2^2 - 3 + 3^2 … ?

Find the number of diagonals in an n-sided polygon.

If log_(10)x, log_(10)y, log_(10)z are in AP, then x,y,z are in:

What is the value of 0.007 + 0.00bar( 7 ) + 17. bar( 83) + 310.020bar(2) ?

There were five sections in MAT paper. The average score of Pooja in first 3 sections was 83 and the average in the last 3 sections was 96 and the average of all the sections (i.e., whole paper) was 92, then her score in the third section was :

30 men can do a piece of work in 14 days. After how many days 10 men left the work that work should be done in 16 days?

A sum of Rs. 2400 amounts to Rs 3350 in 4 years at simple interest. If the ratio of interest in increased by 1% it would amount to how much ?

x"@"y=xy-1, if x gty =0," otherwise" and x#y=(x+y)/(x-y) if x ge0, y ge 0 =1," otherwise." The value of ((4#2)"@"(9#(-1)))/((2"@"3)#(5"@"2)):

Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3 . Find the products of the first and fourth term of the A.P. :

Renuka got married 8 years ago. Today her age is 11/3 times her age at the time of marriage. Her daughter's age is 1/8 times her age. Her daughter's age is:

HCF and LCM of a^(2)b^(3)c^(4) and a^(5)b^(4)c^(3) are :

A dealer buys a product at ₹ 1920, he sells at a discount of 20% still he gets the profit of 20%. What is the selling price of that product?

Per cent Profit =("Income-Expenditure")/("Expenditure")xx100 What is the average percent profit earned by Company B over all the years together?

A and B can do a pieceof work in 45 and 40 days respectively. They began the work together butA leaves after some das and B finishedthe remaining work in 23 days. After how many days did A leave?

Let (x_0,y_0) be the solution of the following equations (2x)^(In2)=(3y)^(In3) 3^(Inx)=2^(Iny), then x_0 is

Find the total number of squares when 8 vertical lines intersect 15 horizontal lines such that all the vertical lines are parallel and equidistant to each other, and all the horizontal lines are also parallel and equidistant to each other.

Checkout that 12716 is divisible by 17 or not.

Multiply 734 by 99.

Maximumnumberof pointsintowhich3 circlesand 3 lines intersect is :

A sphere of radius 9 cm is dropped into a cylindrical vessel partly filledwith water . The radius of the vessel is 12 cm. If the sphere is submerged completely , then the surface of the water rises by :

The value of(1)/(15) + (1)/(35) + (1)/(63) + (1)/(99) + (1)/(143) is

How long will it take C to finish the work alone?

Chords AB and CD of a circle interest at E and are perpendicular to each other. Segments AE, EB and ED are of lengths 2 cm, 6 cm and 3 cm respectively. Then the length of the diameter the circle in cm is :

12345/12346+12346/12347+12347/12345 is equal to :

A, B and C are start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they next meet at the starting point again?

If D is such a point on the side, BC of DeltaABC that (AB)/(AC)=(BD)/(CD), then AD must be a/an:

5x^(2) - 18x+9 =0 3y^(2) + 5y - 2 = 0

If the sum of three consecutive integers is 21, then the sum of the two smaller integers is :

-x^2+2x+8ge0

Find the logarithm of 144 to the base 2sqrt3:

Find two consecutive odd positive integers, sum of whose squares is 290

If A takes 4//5 days as B-takes and working together they require (20)/3 days to complete the whole work. What is the efficiency of B ?

The sum of two numbers is 45. Their difference is 1/9 of their sum. Their LCM is:

Fourdice arethrownsimultaneously. Findthe probabilitythat : All of them show the sameface .

Two dice are tossed once. Find the probability of getting an even number on the first die or a total of 8.

A (-1, 4) and B(5, 4) are the end points of a line segment, find the coordinates of the mid points of the line segment :

What is the area of the largest semicircle that can be inscribed in the square whose diagonal is asqrt2 units?

The number of ways in which a team of 11 players can be selected from 22 players .including 2 of them and excluding 4 of them is

sec^(6)theta-tan^(6)theta-3tan^(2)theta.sec^(2)theta=?

By which smallest number should 5808 be multiplied so that it becomes a perfect square?

It is given that 16men working 18hr per day can build a wall 36m long, 4m broad and 24m high in 20 days . How many men will be required to build a wall 64 m long 6m broad and 18m high working12hr per day in 16 days ?