8677 + Interview Questions in Maths in Class 14 Page 72 InterviewSolution

3551.	When any two natural numbers N_1 and N_2, such that N_2 = N_1 + 2 are multiplied with each other, then which digit appears least time as a unit digit if N_2 le 1000 ?
Answer» 0 9 4 both (a) and (C) ANSWER :B

Discussion

3552.	x varies inversely as the square of y in such a way that, if x = 1, then y = 6, If y = 3, then what is the value of x ?
Answer» `1/3` `1/2` 2 4 Answer :D

Discussion

3553.	Expression 15- 7x- 2x will be maximum when x= ?
Answer» ANSWER :`-(7)/(4)`

Discussion

3554.	1-(sin^(2)y)/(1+cosy)+(1+cosy)/(siny)-(siny)/(1-cosy)=?
Answer» 0 1 sin y COS y ANSWER :C

Discussion

3555.	If ab + 4 = cd and ba + 40 = dc, where ab, cd, ba and dc are the two digit prime numbers. Further b and d are the primenumber digits and a,c are neither prime nor composite. The value of ((ab + ba))/((ca + dc)) is:
Answer» a. 1 B. `1/2` C. `2` d. can't be DETERMINED Answer :B

Discussion

3556.	If a:b=c:d=e:f then (pa+qc+re):(pb+qd+rf) is equal to
Answer» ANSWER :C

Discussion

3557.	Two friends A and B, on their last day in college, decided to meet after 20 years on a river. A had to sail 42 km to the meeting place and B had to sail 250/7 % less. To arrive at the meeting place at the same time as his friend B, A started at the same time as B and sailed with the speed exceeding by 5 km/h the speed of B. Find the speed of A:
Answer» ANSWER :14 km/h

Discussion

3558.	Express:₹ 13 as a percentage of₹39.
Answer» A) 20% B) 25% C) 30% D) 33.33% Solution :`33.33%`

Discussion

3559.	Which of the following is a prime number ?
Answer» 219 467 573 3123 Answer :B

Discussion

3560.	If A+B+C=pi and A, B, C are acute positive angles and cotA cotB cotC = k, then
Answer» `klt1` `KGT(1)/(sqrt(3))` `K=(1)/(2sqrt(3))` `kle(1)/(3sqrt(3))` ANSWER :A::C

Discussion

3561.	How many 6 digit telephone numbers can be formed if each number starts with 91 and sum of the digits is equal to 16?
Answer» 210 336 168 84 Answer :D

Discussion

3562.	The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2 : 3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work and left after 2 days. The number of days taken by A to finish the remaining work is :
Answer» 4.5 5 6 `9(1)/(3)` ANSWER :C

Discussion

3563.	A trader marks up his goods by 20% over the cost price, if he does not offer any discount what would_ be his profit per cent?
Answer» 16.68 20 22.22 25 Answer :B

Discussion

3564.	Kamlesh purchased 120 reams of paper at ₹ 100 per ream and the expenditure on transport was ₹ 480. He had to pay an octroi duty of 50 paise per ream and the coolie charges were ₹ 60. What should he charge per ream to gain 40%?
Answer» RS 147 Rs 135 Rs 142 Rs 137 ANSWER :A

Discussion

3565.	A(-2,-1) , B(1,0) , C(4,3) and D(1,2) are the four points of a quadrilateral . The quadrilateral is a:
Answer» Square Rhombus PARALLELOGRAM NONE of (a) , (B) ,(C) ANSWER :C

Discussion

3566.	Which of the following is /are correct? (i) a^(x + y) = ax + ay "" (ii) (a^x)^(y) = ya^(x) (iii) a(x cdot y) = axcdotay"" (iv) (a^x)/(a^y) = a^(x - y)
Answer» (i) only (II) & (III) only (IV) only None of these ANSWER :C

Discussion

3567.	(13^(22^(42)))/(9) find R.
Answer» ANSWER :`=4`

Discussion

3568.	Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8))(1+cos""(7pi)/(8))=?
Answer» (a)`(1)/(4)` (B)`(1)/(2)` (C)`(1)/(6)` (d)`(1)/(8)` Answer :A

Discussion

3569.	In xy-plane, a straight line L_1 bisects the 1st quadrant and another straight line L_2 trisects the 2ndquadrantbeingclosertothe axisofy . TheacuteanglebetweenL_1 andL_2is
Answer» `60^@` `120^@` `90^@` `75^@` ANSWER :D

Discussion

3570.	What is the simplified value of "cosec"^(6)A-cot^(6)A-3"cosec"^(2)Acot^(2)A?
Answer» `-2` `-1` 0 1 Answer :D

Discussion

3571.	An automobile agency lauched a scheme that if a customer purchases two Jabaaj Discover bikes, one extra Jabaaj Discover will be free and if he purchases 3 Jabaaj Pulser he will get one extra Jabaaj Pulser free. If the cost price of 3 Jabaaj Discover and 4 Jabaaj Pulser be Rs. 67500 and Rs. 232500 respectively. If a customer purchases 2 bikes of Jabaaj Discover and 3 bikes of Jabaaj Pulser as per scheme he availabe 1 bike free of each category, then at what price these bikes should be sold so that the agency can get overall profit of 17.5% :
Answer» `235250` `352500` `368000` 268000` ANSWER :B

Discussion

3572.	There are pigeons and rabbits in a zoo. If heads are counted then there are 90 total and if legs are countedthen there are 224 total. Find the number of pigeon and rabbits.
Answer» <P> ANSWER :`P to 68 , R to 22`

Discussion

3573.	(cosec-sinx)(secx-cosx)(tanx+cotx)=?
Answer» 0 `-1` 1 2 Answer :C

Discussion

3574.	The ratio between the number of men and women in an office is 5:7. If the number of women working in the office is 56, find the number of men working in the office.
Answer» Solution :5 : 7 = X : 56 (suppose NUMBER of men = x) `implies` x = 40 (by the first properly) Therefore, number of men in the office = 40

Discussion

3575.	Divide Rs.6500 among A,B and C so that after spending 90% , 75% and 60% of their respective saving were in the ratio of 3: 5: 6
Answer» ANSWER :`SQRT(29)`

Discussion

3576.	If x+ (1)/(x)= sqrt3 find x^(506) + x^(500) + x^(206) + x^(200) + x^(100) + x^(94) + x^(50) + x^(44) + x^(18) +x^(12) + x^(6) + 3
Answer» ANSWER :2

Discussion

3577.	Find the value of(27)^3
Answer» SOLUTION : `THEREFORE (27)^3 = 19638`

Discussion

3578.	Study the following graph carefully and answer the questions given below The total production of C type tyres in 2006 and 2007 together was what percentage of pro- duction of B type tyres in 2008?
Answer» 50% 100% 150% 200% ANSWER :D

Discussion

3579.	Solve the followings : ((x^a)/(x^b))^(a + b) xx ((x^b)/(x^c))^(b+c) xx ((x^c)/(x^a))^(c+a) is equal to :
Answer» 1 0 2 None of these ANSWER :A

Discussion

3580.	Which of the following function is an even function?
Answer» `F(X)=(a^x+1)/(a^x-1)` `f(x)=(a^x+a^-x)/(a^x-a^-x)` `f(x)=(a^x+1)/(-a^x-1)` `f(x)=SIN(x)` ANSWER :C

Discussion

3581.	If the side of an square is a, then find the side of the regular octagon that can be inscribed in this square.
Answer» A)`a(1+SQRT2)/sqrt2` B)`a/3` C)`a/2+sqrt2` D)NONE of these Answer :C

Discussion

3582.	Three men and two women can do a piece of work in 4 days, while two men and three women can, do the same work in 5 days. ₹44 is given to a woman for her contribution towards work, per day. What, is the amount received by a man per day?
Answer» ₹ 88 ₹ 144 ₹154 can’t be determined Answer :C

Discussion

3583.	Find the value of (sqrt(-1))^(4n + 1).
Answer» SOLUTION :`(sqrt-1)^(4n+1)=i^(4n+1)=i^4nxxi=i`

Discussion

3584.	The numerator of afraction is 4 less than the denominator. If the numerator is decreased by 2and denominator is increased by 1, then the denominator is eight times thenumerator. Find the fraction.
Answer» 3//7 4//8 2//7 3//8 Answer :A

Discussion

3585.	Arun and Barun run with the speeds of 30 m/s and 20 m/s around a circular track of 600 m. They participate in a 3000 m race. What is the distance covered by Arun when he passes Barun for the 5 th time?
Answer» 2200 m 2250 m 2850 m none of these Answer :D

Discussion

3586.	There are two quadratic equations. Solve these equations and find the relation between p and q. p^2-5p+4=0 q^2+5q-6=0
Answer» `pltq` `pgtq` `pleqq` connotbe determined Answer :D

Discussion

3587.	Rachita enters a shop to buy ice-creams,cookies and pastries. She has to buy atleast 9 units of each. Shebuysmore cookiesthan ice-creams andmore pastries tha cookies. She picks up a total of 32 items. Howmany cookies doesshe buy ?
Answer» Either 12 or 13 Either 11 or 12 Either 10 or 11 Either 9 or 11 SOLUTION :By options (a) Either 12 or 13 then ice-creams should not be given atleast 9. This can be rejected. (b) Either 11 or 12 Ice-cream should be atleast 9. By this combination icecream gets less than 9. (c ) Either 10 or 11 Bygiving COOKIES 10 or 11, we get all thepossible condition fulfilled. (d) and (e) , the ice-ceam distribution can be more than cookies which violates our condition. `:. ` option (c) is the write answer.

Discussion

3588.	What is the production of rice in 1959-60?
Answer» (a) 5536 (B) 5996 (C) 6886 (d) 7250 Answer :B

Discussion

3589.	Medicine manufacturer gives one dozen extra medicine on the order of every 12 dozen. A discount 25% is offered on the marked price. If the marked price a bottle is 117 Rs. Find the lowest price which at a bottle can be sold without any loss?
Answer» ANSWER :RS. 81

Discussion

3590.	A person travelled 270 km in 9 hours partly by car and partly by train. Speed of car is 36 km/h and speedby train is 27 km/hr. Find the distance travelled by car and travelled by train.
Answer» ANSWER :`C to 108 ` KM `T to 162 `km

Discussion

3591.	In what ratio, the line made by joining the points A(-4, -3) and B(5, 2) intersects x-axis ?
Answer» `3:2` `2:3` `-3:2` `-2:3` ANSWER :A

Discussion

3592.	Out of four consecutive prime numbers, the product of first three numbers is 385 and the product of the last three numbers is 1001. Find the last number
Answer» 1 11 13 17 Answer :C

Discussion

3593.	6 women alone can complete a piece of work in 10 days, whereas 10 children alone take 15 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the piece of work ?
Answer» 7 8 6 4 Solution :In 1 DAY `(6XX10)` wpmen can complete the PIECE of work and in 1 day `(10xx15)` children can complete the same piece of work. `therefore 6xx10` women `equiv 10xx15`children `rArr 2 ` women `equiv 5` children `therefore 6` women `+ 10` children `=(15+10)` children = 25 children `M_(1) D_(1)=M_(2)D_(2) rArr 10xx15=25xxD_(2)` `rArr D_(2) = (10xx15)/25=6` days

Discussion

3594.	A number of 109 digits is written as follows: " 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ….." What is the least possible a positive number is required to add up in the given number to make it divisible by 2 and 5 both ?
Answer» 8 3 0 none of these Answer :B

Discussion

3595.	The population of a town is 126800. It increase by 15% in the 1st year and decrease by 20% in the 2nd year. What is the population of the town at the end of 2 yr?
Answer» 174984 135996 116656 145820 Answer :C

Discussion

3596.	Total number of factors of a greatest possible number which when divides 1313 and 621, the respective remainders obtained are 17 and 9 :
Answer» 9 10 11 can't be DETERMINED ANSWER :A

Discussion

3597.	The average monthly income of Rakesh and Suresh is Rs. 5050. The average monthly income of Suresh and Ramesh is Rs. 6250 and the average monthly income of Rakesh and Ramesh is Rs. 5200. What is the monthly income of Rakesh?
Answer» 2500 4000 6000 3000 Answer :C

Discussion

3598.	A natural number is divisible by 1125, which consists of only 0s and 1s. Minimum how many 0s and 1s are there in such a number ?
Answer» 5,9 7,5 3,3 3,9 Answer :D

Discussion

3599.	Find the value of (sin^2 63^@ + sin^2 27^@)/(cos^2 17 + cos^2 73^@).
Answer» ANSWER :1

Discussion

3600.	Simplify:- 11 * 468 ÷26 = ? + 8
Answer» a. 206 B. 190 c. 198 d. 215 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

When any two natural numbers N_1 and N_2, such that N_2 = N_1 + 2 are multiplied with each other, then which digit appears least time as a unit digit if N_2 le 1000 ?

x varies inversely as the square of y in such a way that, if x = 1, then y = 6, If y = 3, then what is the value of x ?

Expression 15- 7x- 2x will be maximum when x= ?

1-(sin^(2)y)/(1+cosy)+(1+cosy)/(siny)-(siny)/(1-cosy)=?

If ab + 4 = cd and ba + 40 = dc, where ab, cd, ba and dc are the two digit prime numbers. Further b and d are the primenumber digits and a,c are neither prime nor composite. The value of ((ab + ba))/((ca + dc)) is:

If a:b=c:d=e:f then (pa+qc+re):(pb+qd+rf) is equal to

Express:₹ 13 as a percentage of₹39.

Which of the following is a prime number ?

If A+B+C=pi and A, B, C are acute positive angles and cotA cotB cotC = k, then

How many 6 digit telephone numbers can be formed if each number starts with 91 and sum of the digits is equal to 16?

The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2 : 3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work and left after 2 days. The number of days taken by A to finish the remaining work is :

A trader marks up his goods by 20% over the cost price, if he does not offer any discount what would_ be his profit per cent?

Kamlesh purchased 120 reams of paper at ₹ 100 per ream and the expenditure on transport was ₹ 480. He had to pay an octroi duty of 50 paise per ream and the coolie charges were ₹ 60. What should he charge per ream to gain 40%?

A(-2,-1) , B(1,0) , C(4,3) and D(1,2) are the four points of a quadrilateral . The quadrilateral is a:

Which of the following is /are correct? (i) a^(x + y) = ax + ay "" (ii) (a^x)^(y) = ya^(x) (iii) a(x cdot y) = axcdotay"" (iv) (a^x)/(a^y) = a^(x - y)

(13^(22^(42)))/(9) find R.

Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8))(1+cos""(7pi)/(8))=?

In xy-plane, a straight line L_1 bisects the 1st quadrant and another straight line L_2 trisects the 2ndquadrantbeingclosertothe axisofy . TheacuteanglebetweenL_1 andL_2is

What is the simplified value of "cosec"^(6)A-cot^(6)A-3"cosec"^(2)Acot^(2)A?

There are pigeons and rabbits in a zoo. If heads are counted then there are 90 total and if legs are countedthen there are 224 total. Find the number of pigeon and rabbits.

(cosec-sinx)(secx-cosx)(tanx+cotx)=?

The ratio between the number of men and women in an office is 5:7. If the number of women working in the office is 56, find the number of men working in the office.

Divide Rs.6500 among A,B and C so that after spending 90% , 75% and 60% of their respective saving were in the ratio of 3: 5: 6

If x+ (1)/(x)= sqrt3 find x^(506) + x^(500) + x^(206) + x^(200) + x^(100) + x^(94) + x^(50) + x^(44) + x^(18) +x^(12) + x^(6) + 3

Find the value of(27)^3

Study the following graph carefully and answer the questions given below The total production of C type tyres in 2006 and 2007 together was what percentage of pro- duction of B type tyres in 2008?

Solve the followings : ((x^a)/(x^b))^(a + b) xx ((x^b)/(x^c))^(b+c) xx ((x^c)/(x^a))^(c+a) is equal to :

Which of the following function is an even function?

If the side of an square is a, then find the side of the regular octagon that can be inscribed in this square.

Three men and two women can do a piece of work in 4 days, while two men and three women can, do the same work in 5 days. ₹44 is given to a woman for her contribution towards work, per day. What, is the amount received by a man per day?

Find the value of (sqrt(-1))^(4n + 1).

The numerator of afraction is 4 less than the denominator. If the numerator is decreased by 2and denominator is increased by 1, then the denominator is eight times thenumerator. Find the fraction.

Arun and Barun run with the speeds of 30 m/s and 20 m/s around a circular track of 600 m. They participate in a 3000 m race. What is the distance covered by Arun when he passes Barun for the 5 th time?

There are two quadratic equations. Solve these equations and find the relation between p and q. p^2-5p+4=0 q^2+5q-6=0

Rachita enters a shop to buy ice-creams,cookies and pastries. She has to buy atleast 9 units of each. Shebuysmore cookiesthan ice-creams andmore pastries tha cookies. She picks up a total of 32 items. Howmany cookies doesshe buy ?

What is the production of rice in 1959-60?

Medicine manufacturer gives one dozen extra medicine on the order of every 12 dozen. A discount 25% is offered on the marked price. If the marked price a bottle is 117 Rs. Find the lowest price which at a bottle can be sold without any loss?

A person travelled 270 km in 9 hours partly by car and partly by train. Speed of car is 36 km/h and speedby train is 27 km/hr. Find the distance travelled by car and travelled by train.

In what ratio, the line made by joining the points A(-4, -3) and B(5, 2) intersects x-axis ?

Out of four consecutive prime numbers, the product of first three numbers is 385 and the product of the last three numbers is 1001. Find the last number

6 women alone can complete a piece of work in 10 days, whereas 10 children alone take 15 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the piece of work ?

A number of 109 digits is written as follows: " 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ….." What is the least possible a positive number is required to add up in the given number to make it divisible by 2 and 5 both ?

The population of a town is 126800. It increase by 15% in the 1st year and decrease by 20% in the 2nd year. What is the population of the town at the end of 2 yr?

Total number of factors of a greatest possible number which when divides 1313 and 621, the respective remainders obtained are 17 and 9 :

The average monthly income of Rakesh and Suresh is Rs. 5050. The average monthly income of Suresh and Ramesh is Rs. 6250 and the average monthly income of Rakesh and Ramesh is Rs. 5200. What is the monthly income of Rakesh?

A natural number is divisible by 1125, which consists of only 0s and 1s. Minimum how many 0s and 1s are there in such a number ?

Find the value of (sin^2 63^@ + sin^2 27^@)/(cos^2 17 + cos^2 73^@).

Simplify:- 11 * 468 ÷26 = ? + 8