8677 + Interview Questions in Maths in Class 14 Page 2 InterviewSolution

51.	The value ofcos 10^@ - sin 10^@ is
Answer» `+ve` `-ve` 0 1 Answer :A::C

Discussion

52.	Rajni invested ₹15000 at simple interest for 2 years at the rate of R% and gets an interest of ₹2100.He invested total amount (Principal+Interest) in a scheme.which offered compound interest at the rate of (R%+x%) for two years.→What are the possible integral values of 'x%' so that obtained compound interest is less than ₹3000. (i) 1% (ii) 2% (iii) 3% (iv) 4% (v) 5%
Answer» only (i) only (i).(ii) only (i).(ii)and(III) only (i).(ii).(iii) and (iv) Solution :`(2R)/100 xx 15000 = 2100` R = 7% Now for x =1 R = 8%for CI EquivalentCI at rate of 8%for 2 yrs = 8+ 8+ ` 64/100` = 16.64% CI at 8%for 2 yr ` = ( 16.64)/100 xx 12100 = 16.64 xx 121` APPROXIMATELY=` 16.64 xx 121 = 2013` For9% ` Cl = ( 20 .13)/100 xx 12100 = 20.13 xx 121` Approx =` 20 xx 121 = 2420` For `10 % = 24/100 xx 12100 = 2904` So, 3 values of x are possible i.e, 1,2, and 3 .

Discussion

53.	Find the value of cos1^(@).cos2^(@).cos3^(@).cos90^(@)
Answer» `-1` 0 1 `ALPHA` ANSWER :B

Discussion

54.	Find the amount of Rs. 8000 in 1 year at 5% per annum compound interest payable half-yearly
Answer» ANSWER :RS. 615.125

Discussion

55.	A cricket team of 11 players is to be formed 20 players including 6 bowlers and 3 wicket keepers. In how many different ways can a team be formed so that the team contain exactly 2 wicket keepers and atleast 4 bowlers ?
Answer» 22725 27225 22275 NONE (A), (B), ( C ) ANSWER :B

Discussion

56.	If requires 90 g paint for painting a door12 cm xx 9 cm , how much paint is required for painting a similar door4 cm xx 3 cm?
Answer» 30 G 27 g 10 g 45 g Answer :C

Discussion

57.	If 1lexle3 and 2leyle4, what is the maximum value of ((x)/(y))?
Answer» (2/3) 4 (3/2) 2 Answer :C

Discussion

58.	Find the number of ways in which 21 balls can be distributed among 3 persons such that each person does not receive less than 5 balls.
Answer» 28 14 21 7 Answer :A

Discussion

59.	If sintheta+costheta=(17)/(13), then sintheta.costheta.
Answer» ANSWER :`(60)/(169)`

Discussion

60.	In which year was the difference between the exports from companies X and Y the minimum?
Answer» 1994 1995 1996 1997 Answer :C

Discussion

61.	A die is thrown twice, what is the probability that atleastone of the two numbers is 6 ?
Answer» `11/12` `11/36` `1/6` `7/16` ANSWER :B

Discussion

62.	The sum of two numbers is 18. The greatest product of these two numbers can be :
Answer» 17 81 80 can't be determined Answer :B

Discussion

63.	A journey of 800 km is done in a total of 10 hours . If 320 km is travel by train and remaining by bus . The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus . Find the ratio of the speed of the speed of train to bus .
Answer» `2:11` `3:11` `1:11` `4:11` Solution :`{:("Case"1 : , 320 T + 480 B , to , 10 "hours") , ("Case" 2 : , 240 T + 560 B , to , 8 "hours"):}` In case 1 , 80 km journey extra is done by train , which increases TIME by 2 hours . If remaining journey of 480 is ALSO done by train only then time will increase by `6 xx 2` hours = 12 hour `THEREFORE` Train will take (10 + 12) hours to complete 800 km Similarly , in case 2 , 80 km journey extra is done by bus , which decreases time by 2 hours . If previously 240 kms were also covered by bus , then time would be REDUCED by `( 2 xx 3)` hours= 6 hours `therefore` Bus will take (8-6) hours to complete 800 km `therefore` Ratio of speed = `((800)/(22))/((800)/(2)) = 1 : 11`

Discussion

64.	If the medians of a triangle are equal, then the triangle is :
Answer» RIGHT angled isoscles equilateral scalene Answer :C

Discussion

65.	How many arrangements can be made out of the letters of the word COMMITTEE , taken all at a time , such that the four vowels do not come together ?
Answer» 5400 360 2160 14400 Answer :A

Discussion

66.	Find the sum of factors of 24.
Answer» SOLUTION :`THEREFORE 24 = 2^3xx3^1` `therefore` SUM of factors of 24 `((2^4-1)(3^2-1))/(2-1)(3-1) = (15xx8)/1xx2 = 60`

Discussion

67.	The ratio of the first and second class fares between two railway stations is 4 : 1 and that of the number of passengers travelling by first and second classes is 1 : 40. If on a specific day Rs1,100 is collected as total fare, the amount collected from the first class passengers is :
Answer» RS 315 Rs 275 Rs `137.50` RS100 ANSWER :D

Discussion

68.	The following table gives the sales details of the books for CAT written by Sarvesh : What is the growth rate of sales of Quantitative Aptitude from 2000 to 2005 ?
Answer» `8%` `25%` `20%` `40%` ANSWER :C

Discussion

69.	In the previous question if Zahira starts first, then in how many days will the work gets completed ?
Answer» (a) 39 (B) 41 (C) 43 (d) 45 Answer :D

Discussion

70.	Bill Gates personally announced that he would be building 49 toilets in 3 select Indian villages A,B and C, as part of the pilot project. In how many ways these toilets can be built in 3 villages such that village A gets more toilets than that of village B and village B gets more toilets than that of village C?
Answer» 98 196 188 none of these Answer :D

Discussion

71.	If the roots of a quadratic equation are real and rational, which one of the following best describes the value of the discriminant D ?
Answer» `DGT0` `D=0` `DLT0` `Dge0` ANSWER :D

Discussion

72.	The cost of fencing a circular field at the rate of Rs 25 per meter is Rs 5,275 . Find the diameter of the field.
Answer» 18 m 28 m 14 m none of these Answer :B

Discussion

73.	If sinA=sinBandcosA=cosB then
Answer» `SIN((A-B)/(2))=0` `sin((A+B)/(2))=0` `COS((A-B)/(2))=0` `cos((A+B)/(2))=0` ANSWER :A

Discussion

74.	log 12900 is equal to
Answer» 2 log 129 `log129+log2` `4+log1.29` none of these Answer :C

Discussion

75.	The set of solution for all x satisfying the equation x^(log 3 x^(2) + (log _(3)x^(2) -10)) = 1/x^(2) is:
Answer» (1,9) (1,4,16) (1,9,81) `{9,1/81,1}` ANSWER :D

Discussion

76.	Which one of the following is polynomial?
Answer» `X^(3) + y^(2)` `x^(2) + (1)/(x^(2))` `x+sqrtx` `x^(3) + x^(2) + x`

Discussion

77.	How many even integers n, 13 le n le 313 are of the from 3k + 4, where k is any natural number?
Answer» A)101 B)51 C)50 D)NONE of these Answer :C

Discussion

78.	Show that 2"sin"^(2)beta+4 cos(alpha+beta)"sin" alpha sin beta+cos2(alpha+beta)=cos 2alpha.
Answer» `sin2alpha` `COS2BETA` `COS2ALPHA` `sin2beta` ANSWER :C

Discussion

79.	Pipe A can fill the tank in 4 hours, while pipe B can fill it in 6 hours working separately. Pipe C can empty whole the tank in 4 hours. He opened the pipe A and B simultaneously to fill the empty tank. He wanted to adjust his alarm so that he could open the pipe C when it was half-filled, but he mistakenely adjusted his alarm at a time when his tank would be 3//4th filled. What is the time difference between both the cases, to fill the tank fully :
Answer» 48 MIN. 54 min. 30 min. none of these Answer :B

Discussion

80.	The weight of three heaps of gold are in the ratio 5 : 6 : 7. By what fractions of themselves must the first two be increased so that the ratio of the weights may be changed to 7 : 6 : 5 ?
Answer» `(24)/(25),(2)/(5)` `(48)/(50),(4)/(5)` `(48)/(50),(3)/(5)` `(24)/(25),(3)/(7)` Answer :A

Discussion

81.	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, one book of each subject.
Answer» a. 48 b. 60 C. 168 d. 90 Answer :C

Discussion

82.	Two balls are drawn from an urn containing 2 white; 3 red and 4 black balls one by one without replacement. What is the probability that at least one ball is red?
Answer» `7/12` `5/12` `3/10` NONE of these Answer :A

Discussion

83.	Find the smallest number which is divided by x,y,z and leaves remainder 'r'.
Answer» ANSWER :LCM of X,y,Z +R

Discussion

84.	In the given figure, AB is the diameter. angleBAD = 70^(@)and angleDBC = 30^(@). Find angleBDC :
Answer» `25^(@)` `30^(@)` `40^(@)` `60^(@)` Answer :C

Discussion

85.	15 men take 42 days of 4 hours each to do a piece of work. How many days of 6 hours each would 21 women take if 3 women do as much work as 2 men?
Answer» 15 22 25 30 Answer :D

Discussion

86.	If the ratio of diagonals of two cubes is 3:2 then the ratio of the surfaceareas of the two cubes respectively is :
Answer» 5:4 9:5 9:4 can't be determined Answer :B

Discussion

87.	If 10 persons can do a job in 20 days, then 20 person with twice the efficiency can do the same job in :
Answer» 5 days 40 days 10 days 20 days Answer :A

Discussion

88.	A person goes in for an examination in which there are four papers with a maximum of m marks from each paper. The number of ways in which one can get 2m marks is
Answer» `1/3 (n^2 -5n DIV 4)` `1/3 (n+1)(2n^2 +4n+3)` `1/6 (n+1)(n+4)` NONE of the above Answer :B

Discussion

89.	Which of the following can represent the numeral for 2005 ?
Answer» DDDDV MMV MDDXV MDVX Solution :2005 = 2000+5 = 1000 + 1000 + 5 = MMV

Discussion

90.	If m and n are relatively prime and mn = 10!, find the number of all rational numbers m/n such that 0 lt m/n lt 1.
Answer» 8 15 30 21 Answer :A

Discussion

91.	At least which number must be substracted from 9999999 so that it will become the multiple of 125 ?
Answer» 124 4 24 none of these Answer :A

Discussion

92.	When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is:
Answer» 428 427 328 338 Answer :A

Discussion

93.	If the distance between two points (0,-5) and (x,0) is 13. Find x
Answer» <P> ANSWER :`p(X,y)=((mx_(2)+nx)/(m+n),(my_(2)+NY)/(m+n))`

Discussion

94.	If a^(4) + a^(2) b^(2) +b^(4)=8, a^(2) + b^(2) + ab= 4 find ab
Answer» ANSWER :ab=1

Discussion

95.	If 4^(x + 3) xx 2^(x - 3) - 128 = 0 then the value of x is :
Answer» 44256 44257 44258 44259 Answer :D

Discussion

96.	₹ 100000 was invested by Mohan in a fixed deposit @ 10% per annum at CI. However every year he has to pay 20% tax on the compound interest. How much money does Mohan has after 3 years?
Answer» 128414 108000 126079.2 none of these Answer :D

Discussion

97.	Chitra invested an amount of Rs. 12,000 at the rate of 10 % per annum simple interest and another amount at the rate of 20 % simple interest. The totalinterest earned at the end of the year on the total amount invested became 14 % per annum. Find the total amount invested.
Answer» A) RS. 5422 B) Rs. 5489 C) Rs. 4511 D) Rs. 6145 Answer :Rs. 8000

Discussion

98.	If 3costheta-sintheta=(1)/(sqrt(2)),(0^(@)ltthetalt90^(@)), then the value of 3sintheta+2costheta.
Answer» a) `(1)/(sqrt(2))` B) `sqrt(2)` c) `(3)/(sqrt(2))` d) `(5)/(sqrt(2))` ANSWER :B

Discussion

99.	At what rate per cent compound interest does a sum of money become 16 times in 4 years?
Answer» ANSWER :1

Discussion

100.	The value of (0.bar(63) + 0.bar(37)) is
Answer» 1 `(100)/(99)` `(99)/(100)` `(100)/(33)` ANSWER :B

Discussion

Explore topic-wise InterviewSolutions in .

The value ofcos 10^@ - sin 10^@ is

Find the value of cos1^(@).cos2^(@).cos3^(@).cos90^(@)

Find the amount of Rs. 8000 in 1 year at 5% per annum compound interest payable half-yearly

A cricket team of 11 players is to be formed 20 players including 6 bowlers and 3 wicket keepers. In how many different ways can a team be formed so that the team contain exactly 2 wicket keepers and atleast 4 bowlers ?

If requires 90 g paint for painting a door12 cm xx 9 cm , how much paint is required for painting a similar door4 cm xx 3 cm?

If 1lexle3 and 2leyle4, what is the maximum value of ((x)/(y))?

Find the number of ways in which 21 balls can be distributed among 3 persons such that each person does not receive less than 5 balls.

If sintheta+costheta=(17)/(13), then sintheta.costheta.

In which year was the difference between the exports from companies X and Y the minimum?

A die is thrown twice, what is the probability that atleastone of the two numbers is 6 ?

The sum of two numbers is 18. The greatest product of these two numbers can be :

A journey of 800 km is done in a total of 10 hours . If 320 km is travel by train and remaining by bus . The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus . Find the ratio of the speed of the speed of train to bus .

If the medians of a triangle are equal, then the triangle is :

How many arrangements can be made out of the letters of the word COMMITTEE , taken all at a time , such that the four vowels do not come together ?

Find the sum of factors of 24.

The ratio of the first and second class fares between two railway stations is 4 : 1 and that of the number of passengers travelling by first and second classes is 1 : 40. If on a specific day Rs1,100 is collected as total fare, the amount collected from the first class passengers is :

The following table gives the sales details of the books for CAT written by Sarvesh : What is the growth rate of sales of Quantitative Aptitude from 2000 to 2005 ?

In the previous question if Zahira starts first, then in how many days will the work gets completed ?

If the roots of a quadratic equation are real and rational, which one of the following best describes the value of the discriminant D ?

The cost of fencing a circular field at the rate of Rs 25 per meter is Rs 5,275 . Find the diameter of the field.

If sinA=sinBandcosA=cosB then

log 12900 is equal to

The set of solution for all x satisfying the equation x^(log 3 x^(2) + (log _(3)x^(2) -10)) = 1/x^(2) is:

Which one of the following is polynomial?

How many even integers n, 13 le n le 313 are of the from 3k + 4, where k is any natural number?

Show that 2"sin"^(2)beta+4 cos(alpha+beta)"sin" alpha sin beta+cos2(alpha+beta)=cos 2alpha.

The weight of three heaps of gold are in the ratio 5 : 6 : 7. By what fractions of themselves must the first two be increased so that the ratio of the weights may be changed to 7 : 6 : 5 ?

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, one book of each subject.

Two balls are drawn from an urn containing 2 white; 3 red and 4 black balls one by one without replacement. What is the probability that at least one ball is red?

Find the smallest number which is divided by x,y,z and leaves remainder 'r'.

In the given figure, AB is the diameter. angleBAD = 70^(@)and angleDBC = 30^(@). Find angleBDC :

15 men take 42 days of 4 hours each to do a piece of work. How many days of 6 hours each would 21 women take if 3 women do as much work as 2 men?

If the ratio of diagonals of two cubes is 3:2 then the ratio of the surfaceareas of the two cubes respectively is :

If 10 persons can do a job in 20 days, then 20 person with twice the efficiency can do the same job in :

A person goes in for an examination in which there are four papers with a maximum of m marks from each paper. The number of ways in which one can get 2m marks is

Which of the following can represent the numeral for 2005 ?

If m and n are relatively prime and mn = 10!, find the number of all rational numbers m/n such that 0 lt m/n lt 1.

At least which number must be substracted from 9999999 so that it will become the multiple of 125 ?

When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is:

If the distance between two points (0,-5) and (x,0) is 13. Find x

If a^(4) + a^(2) b^(2) +b^(4)=8, a^(2) + b^(2) + ab= 4 find ab

If 4^(x + 3) xx 2^(x - 3) - 128 = 0 then the value of x is :

₹ 100000 was invested by Mohan in a fixed deposit @ 10% per annum at CI. However every year he has to pay 20% tax on the compound interest. How much money does Mohan has after 3 years?

Chitra invested an amount of Rs. 12,000 at the rate of 10 % per annum simple interest and another amount at the rate of 20 % simple interest. The totalinterest earned at the end of the year on the total amount invested became 14 % per annum. Find the total amount invested.

If 3costheta-sintheta=(1)/(sqrt(2)),(0^(@)ltthetalt90^(@)), then the value of 3sintheta+2costheta.

At what rate per cent compound interest does a sum of money become 16 times in 4 years?

The value of (0.bar(63) + 0.bar(37)) is