8677 + Interview Questions in Maths in Class 14 Page 29 InterviewSolution

1401.	The population of a town is decreasing at a rate of 10% per annum. If the population two years ago was 20,000, what is the present population?
Answer» 16200 16000 15200 15000 Answer :B

Discussion

1402.	The population of a town is increased from 54500 to 58500 in one year. What is the percentage increase in the population?
Answer» 4.34% 7.34% 5.34% 6.34% ANSWER :A

Discussion

1403.	1200 boys and 800 girls appeared in an examination. If 60% of the boys and 40% of the girls passed the examination, what is the percentage of candidates who failed in the examination?
Answer» 42 % 52 % 48 % 45 % ANSWER :A

Discussion

1404.	Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. If 58 votes were declared invalid, find the total number of votes polled in the election?
Answer» 1188 1158 1100 1042 Answer :A

Discussion

1405.	A sum of Rs. 12000 deposited at compound interest becomes double after 5 years. How much will it be after 20 years?
Answer» ANSWER :192000

Discussion

1406.	For which model the percentage rise/ fall in production from 2012 to 2013 was minimum?
Answer» Q R S T

Discussion

1407.	Which of the following ig not a graph of a quadratic equation?
Answer» only (III) (i) and (iii) (II) and (IV) only (iv) ANSWER :D

Discussion

1408.	A, B and C are situated at the bank of river which is flowing at a constant rate. B is at an equal distance with A and C.A swimmer Avinash takes 10 h to swim from A to B and B to A .Also ,he takes 4 h to swim from A to C. What is the ratio of speed of Avinash in still water and speed of stream?
Answer» `5 :3` `3 :5` `2:5` `1 :2` ANSWER :A

Discussion

1409.	At a dinner party 5 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?
Answer» a. 18 b. 50 c. 24 d. 36 Answer :D

Discussion

1410.	From IIT Roorkee to IIM Kashipur in Uttarakhand, there are total 325 railway stations falling on a straight railway line. A local train stops at every 3rd station, an express train stops at every 5th station and a bullet train stops at every 8th railway station. How many pairs of stations are connected by exactly two different types of trains?
Answer» 25 35 36 42 Answer :C

Discussion

1411.	Find the value of ^10C_1 + ^10C_2 + ^10C_3 + ... + ^10C_10
Answer» 100 `10^2` `2^10` `2^10 - 1` ANSWER :D

Discussion

1412.	ABC is right angle triangle , (right angled at B ) incircle touches the sides AB, BC & AC at F, E, & D respectively . If BD is prependicular to AC then , find the ratio of AF to FB .
Answer» ANSWER :`(sqrt2+1)/(1)`

Discussion

1413.	If (x)/(a)costheta+(y)/(b)sintheta=1&(x)/(a)sintheta-(y)/(b)costheta=1. Then
Answer» `(x^(2))/(a^(2))+(y^(2))/(B^(2))=0` `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` `(x^(2))/(a^(2))+(y^(2))/(b^(2))=-1` `(x^(2))/(a^(2))+(y^(2))/(b^(2))=2` ANSWER :B

Discussion

1414.	threefaircoinsare tossedsimultaneously. Findthe propability of gettingone head .
Answer» 0 `3//4` `5/8` `3/8` ANSWER :D

Discussion

1415.	A sum of money placed at compound interest doubles itself in 6 years. In how many years will it amount to 16 times itself?
Answer» ANSWER :24 YEARS

Discussion

1416.	The slant height of a conical tent made of canvas is (14)/(3) m . The radius of tent is 2.5 m. The width of the canvas is 1.25 m . If the rate of canvas per metres is Rs. 33, then the total cost of the canvas required for the tent ( in Rs.) is :
Answer» a. 726 b. 950 c. 960 d. 968 Answer :D

Discussion

1417.	Find the values of the following expression. tantheta+cottheta is
Answer» 1 `TANTHETA` `cosectheta COTTHETA` `sectheta cosectheta` Answer :D

Discussion

1418.	There is one number which is formed by writing one digit 6 times (e.g. 111111, 444444 etc.). Such number is always divisible by
Answer» 7 11 13 All of these Answer :D

Discussion

1419.	Given x+ (1)/(y)=1 and y + (1)/(z)=1 find (x+y+z) + ((1)/(x) + (1)/(y) + (1)/(z))=?
Answer» ANSWER :3

Discussion

1420.	If the events A and B are mutually exclusive events such that P(A) = (3x + 1)/(3) and P(B) = (1 - x)/(4), then the set ofpossible real values of x lies in the interval
Answer» `(-1//4,0)` `(-11,-3//4)` `(-3//4,-1//2)` `(0,1//4)` ANSWER :C

Discussion

1421.	The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+)is4b. log4c. log2d. none of these
Answer» 2 44228 4 none Answer :C

Discussion

1422.	Simplify sqrt(25.4016)
Answer» 401/607 104/706 41/76 None of these Answer :A

Discussion

1423.	solve the following expression25.6bar32 xx 55
Answer» SOLUTION :`(25 + 0.6bar32) xx 55 = 25 (632 - 6)/990 xx 55 = 25 626/990 xx 55 = 12688/9 = 1409.7777 = 1409.bar7`

Discussion

1424.	The ratio of milk and water in two vessels are 3 : 5 and 4 : 7,The capacity of both vessels are in the ratio1 : 2. Both are poured into a third vessel, then find the ratio of milk and water in third vessel
Answer» ANSWER :`97 : 167`

Discussion

1425.	If tanA-tanB=x and cotB-cotA=y, then cot(A-B)=?
Answer» `(1)/(X)+y` `(1)/(XY)` `(1)/(x)-(1)/(y)` `(1)/(x)+(1)/(y)` ANSWER :D

Discussion

1426.	If the ratio of total surface area to the curved surface area of a cylinder be 4:1, whatis the ratio of radius to the height ?
Answer» 4:1 2:3 3:2 3:1 Answer :D

Discussion

1427.	Find max^(m)&min^(m) value of 23sec^(2)theta+20tan^(2)theta
Answer» ANSWER :23

Discussion

1428.	The sum of all two digit numbers which when divided by 4 , yield unity as remainder is
Answer» ANSWER :A

Discussion

1429.	The sum of 100 terms of the series 1 - 3 + 5 - 7 + 9 - 11 + 13 - 15 + … is :
Answer» 100 50 200 none of these Answer :D

Discussion

1430.	A man riding a bicycle from his house at 10km/h and reaches his office late by 6min. He increases his speed by 2 km/h and reaches 6 min before. How far is the office from his house?
Answer» 6 KM 7 km 12 km 16 km Answer :C

Discussion

1431.	If a,b,c are in GP then 1/(log_(a)x), 1/(log_(b)x), 1/(log_( c)x) are in:
Answer» AP GP HP none of these Answer :A

Discussion

1432.	A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit?
Answer» A) RS. 8,640 B) Rs. 9,850 C) Rs. 10,000 D) Rs. 11,220 Answer :Rs. 15360

Discussion

1433.	If sin theta=(21)/(29), find the value of sec theta+tan theta, if theta lies between 0 and pi//2:
Answer» 1 `pi/2` 44232 none of these Answer :C

Discussion

1434.	A gives both B and C a start of 60 m in a 1500 m race. However, while B finishes with him, C is 15 m behind them when A and B cross the finishing line. How much start can B give C for the 1500 m race course?
Answer» 7(6/23)m 15(5/8)m 7(11/16)m 5(5/24)m Answer :B

Discussion

1435.	I.4x^(2) - 19x + 12 = 0 II.3y^(2) + 8y + 4 = 0
Answer» if` x gt y` if ` x lt y` if ` x LE y` if ` x ge y` SOLUTION :` (x -4) (4x-3) = 0` ` X = 4, 3/4` ` (y+2)(3y+2) = 0` ` y = -2, - 2/3` ` 4 , - 3/4 , - 2/3 , - 2` ` x gt y`

Discussion

1436.	A does half as much work as B, and C does half as much work as A and B together. If C alone can finish the work in 40 days, then all together will finish the work in (B) 15 days (A) 13(1/3) days (D) 30 days (C) 20 days
Answer» ANSWER :`13(1)/(3)` DAYS

Discussion

1437.	By what %must the cost of goods be marked up so that even after a discount of 20% the same amount is recovered as before the discount?
Answer» 20 25 40 10 Answer :B

Discussion

1438.	Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum.He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is
Answer» 10 15 20 25 Answer :C

Discussion

1439.	If n is an integer, how many values of n will give an integral value of (51n^2 + 17n + 6)/n ?
Answer» 4 3 2 none of these ANSWER :A

Discussion

1440.	The unit digit of (12345k)^(72) is 6. The value of k is :
Answer» 6 8 2 all of these Answer :D

Discussion

1441.	A man wants to invest Rs. 140000 in bond A & B. If the rate of interest in bond A is 5% and in B is 8% per annum . And the sum invested in B should not be more than 40% of the money invested in A. Find the maximum Amount Received by the man in 1 year.
Answer» ANSWER :RS. 148000

Discussion

1442.	What is the least number of square tiles required to pave the floor of a room 15 m 17 c, long and 9 m 2 m broad ?
Answer» 840 841 820 814 Answer :D

Discussion

1443.	Water flows atthe rate of 10 m per minute from a cylindrical pipe 5 mm in diameter . A conical vessel whose diameter is 40 cm and depth 24 cm is filled. The time taken to fill the conical vesselis :
Answer» 50 MIN 50 min. 12 sec. 51 min. 12 sec. 51 min. 15 sec Answer :C

Discussion

1444.	Profit earned by an organisation is distributed among offers is 45 and the number of clerks is 80 and the amount received by each officer is ₹ 25,000 what was the total amount of profit earned ?
Answer» `₹22` lakh `₹18.25` lakh `₹18` lakkh `₹23.25` lakh Solution :Amount received by all the OFFICERS `45xx25000 =11,25,000` Amount recived by each CLERK `=(3)/(5) xx 25000= 15000` Amount recived by all the CLERKS `=80xx15000=12,00,000` Total amount of profit earned `=11, 25,000+12,00,000=₹23.25 lakh`.

Discussion

1445.	Anupam sells a painting to Bhargava at 4/5th the rate of profit at which Bhargava sells it to Chaudhary. Further Chaudhary sells it to Dara Singh at half the rate of profit at which Anupam sold it to Bhargava. If Chaudhary earns a profit of 10% by selling it to Dara Singh for ₹ 2805. What is the cost price of painting for Bhargava?
Answer» 1896 2040 1680 2000 Answer :B

Discussion

1446.	Let ABC and ABC' be two non-congruent triangles with sides AB = 4, AC = AC' = 2 sqrt2 and angle B= 30^(@). The absolute value of the differnce between the area of these triangle is _______
Answer» 2 `root(2)(2)` 4 `root(3)(2)` ANSWER :C

Discussion

1447.	The relative speed of a train in respect of a car is 90 km/h when train and car are moving opposite to each other. Find the actual speed of train, if car is moving with a speed of 15 km/h.
Answer» a. 80 km/h B. 105 km/h C. 75 km/h d. 100 km/h Answer :C

Discussion

1448.	(5^(500))/(500) . Find R.
Answer» ANSWER :`=125`

Discussion

1449.	If 3sintheta+5costheta=3, then 5sintheta-3costheta=?
Answer» `PM5` `PM3` `PM4` `pm16` ANSWER :B

Discussion

1450.	If the base of a parallelogram is (x + 4), altitude to the base (x-3)and the area is (x^(2)-4) , then the actual area is equal to .
Answer» 64 SQ units 48 sq units 60 sq units None of these Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

The population of a town is decreasing at a rate of 10% per annum. If the population two years ago was 20,000, what is the present population?

The population of a town is increased from 54500 to 58500 in one year. What is the percentage increase in the population?

1200 boys and 800 girls appeared in an examination. If 60% of the boys and 40% of the girls passed the examination, what is the percentage of candidates who failed in the examination?

Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. If 58 votes were declared invalid, find the total number of votes polled in the election?

A sum of Rs. 12000 deposited at compound interest becomes double after 5 years. How much will it be after 20 years?

For which model the percentage rise/ fall in production from 2012 to 2013 was minimum?

Which of the following ig not a graph of a quadratic equation?

A, B and C are situated at the bank of river which is flowing at a constant rate. B is at an equal distance with A and C.A swimmer Avinash takes 10 h to swim from A to B and B to A .Also ,he takes 4 h to swim from A to C. What is the ratio of speed of Avinash in still water and speed of stream?

At a dinner party 5 people are to be seated around a circular table. Two sitting arrangements are considered different only when the positions of the people are different relative to each other.What is the total number of possible sitting arrangements or the group?

Find the value of ^10C_1 + ^10C_2 + ^10C_3 + ... + ^10C_10

ABC is right angle triangle , (right angled at B ) incircle touches the sides AB, BC & AC at F, E, & D respectively . If BD is prependicular to AC then , find the ratio of AF to FB .

If (x)/(a)costheta+(y)/(b)sintheta=1&(x)/(a)sintheta-(y)/(b)costheta=1. Then

threefaircoinsare tossedsimultaneously. Findthe propability of gettingone head .

A sum of money placed at compound interest doubles itself in 6 years. In how many years will it amount to 16 times itself?

The slant height of a conical tent made of canvas is (14)/(3) m . The radius of tent is 2.5 m. The width of the canvas is 1.25 m . If the rate of canvas per metres is Rs. 33, then the total cost of the canvas required for the tent ( in Rs.) is :

Find the values of the following expression. tantheta+cottheta is

There is one number which is formed by writing one digit 6 times (e.g. 111111, 444444 etc.). Such number is always divisible by

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

If the events A and B are mutually exclusive events such that P(A) = (3x + 1)/(3) and P(B) = (1 - x)/(4), then the set ofpossible real values of x lies in the interval

The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+)is4b. log4c. log2d. none of these

Simplify sqrt(25.4016)

solve the following expression25.6bar32 xx 55

The ratio of milk and water in two vessels are 3 : 5 and 4 : 7,The capacity of both vessels are in the ratio1 : 2. Both are poured into a third vessel, then find the ratio of milk and water in third vessel

If tanA-tanB=x and cotB-cotA=y, then cot(A-B)=?

If the ratio of total surface area to the curved surface area of a cylinder be 4:1, whatis the ratio of radius to the height ?

Find max^(m)&min^(m) value of 23sec^(2)theta+20tan^(2)theta

The sum of all two digit numbers which when divided by 4 , yield unity as remainder is

The sum of 100 terms of the series 1 - 3 + 5 - 7 + 9 - 11 + 13 - 15 + … is :

A man riding a bicycle from his house at 10km/h and reaches his office late by 6min. He increases his speed by 2 km/h and reaches 6 min before. How far is the office from his house?

If a,b,c are in GP then 1/(log_(a)x), 1/(log_(b)x), 1/(log_( c)x) are in:

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit?

If sin theta=(21)/(29), find the value of sec theta+tan theta, if theta lies between 0 and pi//2:

A gives both B and C a start of 60 m in a 1500 m race. However, while B finishes with him, C is 15 m behind them when A and B cross the finishing line. How much start can B give C for the 1500 m race course?

I.4x^(2) - 19x + 12 = 0 II.3y^(2) + 8y + 4 = 0

A does half as much work as B, and C does half as much work as A and B together. If C alone can finish the work in 40 days, then all together will finish the work in (B) 15 days (A) 13(1/3) days (D) 30 days (C) 20 days

By what %must the cost of goods be marked up so that even after a discount of 20% the same amount is recovered as before the discount?

Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum.He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

If n is an integer, how many values of n will give an integral value of (51n^2 + 17n + 6)/n ?

The unit digit of (12345k)^(72) is 6. The value of k is :

A man wants to invest Rs. 140000 in bond A & B. If the rate of interest in bond A is 5% and in B is 8% per annum . And the sum invested in B should not be more than 40% of the money invested in A. Find the maximum Amount Received by the man in 1 year.

What is the least number of square tiles required to pave the floor of a room 15 m 17 c, long and 9 m 2 m broad ?

Water flows atthe rate of 10 m per minute from a cylindrical pipe 5 mm in diameter . A conical vessel whose diameter is 40 cm and depth 24 cm is filled. The time taken to fill the conical vesselis :

Profit earned by an organisation is distributed among offers is 45 and the number of clerks is 80 and the amount received by each officer is ₹ 25,000 what was the total amount of profit earned ?

Let ABC and ABC' be two non-congruent triangles with sides AB = 4, AC = AC' = 2 sqrt2 and angle B= 30^(@). The absolute value of the differnce between the area of these triangle is _______

The relative speed of a train in respect of a car is 90 km/h when train and car are moving opposite to each other. Find the actual speed of train, if car is moving with a speed of 15 km/h.

(5^(500))/(500) . Find R.

If 3sintheta+5costheta=3, then 5sintheta-3costheta=?

If the base of a parallelogram is (x + 4), altitude to the base (x-3)and the area is (x^(2)-4) , then the actual area is equal to .