8677 + Interview Questions in Maths in Class 14 Page 71 InterviewSolution

3501.	Both the end digits of a 99 digit number N are 2. N is divisible by 11, then all the middle digits are :
Answer» 1 2 3 4 Answer :D

Discussion

3502.	What is the least number which must be subtracted from 369 to make it a perfect cube?
Answer» 8 26 2 25 Answer :B

Discussion

3503.	The ratio of age of A and B is 8:9 and the age of B is 2/3 of C's age and age of C is 9/13 times the age of D. If the age of B is 18 years then the age of C is
Answer» 36 years 39 years 27 years 54 years Answer :C

Discussion

3504.	Find the minimum value of (sintheta+cosectheta)^(2)+(costheta+sectheta)^(2)
Answer» 8 7 9 4

Discussion

3505.	Three numbers are selected at random without replacement from the set of numbers {1, 2, 3, … n}. The conditional probability that the 3rd number lies between the 1st two. If the 1st number is known to be smaller than the 2nd, is
Answer» `1/3` `2/3` `5/6` `7/12` ANSWER :A

Discussion

3506.	If A(-2,1),B(2,3)a n dC(-2,-4)are three points, find the angle between B Aa n dB Cdot
Answer» `TAN^(-1)(3/5)` `tan^(-1)(2/3)` `tan^(-1)(3/2)` NONE of these Answer :B

Discussion

3507.	sin((pi)/(10))sin((3pi)/(10))=?
Answer» `(1)/(2)` `-(1)/(2)` `(1)/(4)` 1 Answer :A::D

Discussion

3508.	Find the value of 1/(log_3e)+1/(log_3e^2)+1/(log_3e^4)+... is
Answer» `log_e9` 0 1 `log_e270` ANSWER :A

Discussion

3509.	If the ratio of the two numbers is 2 : 3 and their LCM is 54, then the sum of the two number is:
Answer» 5 15 45 270 Answer :C

Discussion

3510.	A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction is :
Answer» 2 3 7 15 Answer :D

Discussion

3511.	A retailer increases the selling price by 25% due to which his profit percentage increases from 20% to 25%. What is the percentage increase in cost price?
Answer» 0.2 0.3 0.25 0.5 Answer :A

Discussion

3512.	P q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 8 and q = 10 , then the value of [(p $ q) Delta (p @ q)] [(q ** p) @ (q © p)] is :
Answer» a. 5329 b. 5239 c. 12100 `d. -973` ANSWER :D

Discussion

3513.	P q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 11 and q = 7 , then the value of (p q) @ (p $ q) is:
Answer» 14641 12482 12243 None of these ANSWER :B

Discussion

3514.	P q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 15 and q = 25, then the value of the expression [(qp)@(p $q)] is:
Answer» a.341200 b.341500 c.341250 d. none Answer :A

Discussion

3515.	If each side of the octagon is a, find the area of the octagon.
Answer» `2(sqrt2-1)a^2` `4(1+sqrt2)a^2` `2(2+sqrt2)a^2` `2(1+sqrt2)a^2` ANSWER :D

Discussion

3516.	For what value of k, the system of equations kx+2y=0, and 3x+y=1 will be coincident?
Answer» 2 3 5 6 Answer :D

Discussion

3517.	The maximum possible value of a+b+c+d will be where (a+b)=c (b+c)=d, (c+d)=a, for every a, b, c, dinI^+ :
Answer» -4 0 16 can't be determined Answer :D

Discussion

3518.	How many students passed only in Q.A.?
Answer» 20 15 12 can’t be deterrmined Answer :D

Discussion

3519.	A boxcontains5 defective and 15non -defectivebulbstwobulbsare chosenat random. Findthe probability thatboththebulbsare non - defective .
Answer» `5/19` `3/20` `21/38` NONE of these Answer :C

Discussion

3520.	If P_r stands for "^rP_r, then the value of 1+1.P_1 +2.P_2+3.P_3+....+n.P_n is :
Answer» `(n-1)!/2` `(n+1)!/2` `2(n-1)!` `(n+1)!` ANSWER :D

Discussion

3521.	If P=acos^(3)x+3acosx.sin^(2)xandQ=asin^(3)x+3acos^(2)x.sinx, then (P+Q)^(2//3)+(P-Q)^(2//3)=?
Answer» `2A^(2//3)` `a^(2//3)` `2a^(1//3)` `a^(1//3)` ANSWER :A::B::C

Discussion

3522.	If sintheta+costheta=(17)/(13), then sintheta-costheta=?
Answer» ANSWER :`PM(7)/(13)`

Discussion

3523.	There are two vessels A and B containing 25 litres each of pure milk and pure water respectively. 5 litres of milk from A is taken and poured into B, then 6 litres of mixture from B is taken and poured in A. What is the ratio of water in A and B respectively :
Answer» 0.17013888888889 0.044444444444444 0.21111111111111 0.085416666666667 Answer :B

Discussion

3524.	If selling price of an article (8)/(5) is times its cost price, the profit percent on it is
Answer» ANSWER :0.6

Discussion

3525.	A trader marks his goods such that he can make 32% profit after giving 12% discount. However a customer availed 20% discount instead of 12%. What is the new profit percentage of trader?
Answer» `20%` `44%` `30%` `28.8%` ANSWER :A

Discussion

3526.	A and B started a business in part nership by investing Rs. 10,000 and 4000 condition of partnership is that B got Rs. 100 per month for management of the business. After paying 5% interest on the capital annual profit has distributed in the ratio of their investment. Find the share of their profit, If the annual profit is Rs. 4000.
Answer» 2100,1900 1600,1400 1200,1800 2000,2000 Answer :RS. 2000 each

Discussion

3527.	There are some milk in three vessels.1/3part of the first mixture is poured into second vessel. 1/4 part of the second mixture is poured into third vessel. 1/10 . part of the third mixture is poured into first vessel.Now all three vessels contains 9 - 9 ltmilk, then find the initial quantity of milk in all three vessels.
Answer» ANSWER :12 LT, 8 lt, 7lt

Discussion

3528.	Two poles 15 m and 30 m high stand upright in a play ground . If their feet be 36 m apart , find the distance between the tops.
Answer» 41 m 36 m 39 m none of these Answer :C

Discussion

3529.	Find the cost of carpeting a room 17 m long and 9m wide with a carpet 60 cm broad at 40 paise per metre.
Answer» Solution :Area of carpet= Area of ROOM `1xx0.6=17xx9` `IMPLIES 1=255m` `THEREFORE `Cost of carpeting the floor=`ratxxlength of carpet=0.4xx255₹102.00`

Discussion

3530.	a and b are any numbers and x and y are any non negative integers. l(a) = the greatest integer less than or equal to a g(a) = the smallest integer greater than or equal to a r(x,y) = the remainder when x is divided by y. r(16, 7)-2 is equal to :
Answer» 0 1 2 3 Answer :A

Discussion

3531.	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 97 and 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

3532.	A fivedigit number is formedwith the digits 0,1,2,3and 4 withoutrepetition,Find the chance thatthe numberisdivisibleby 5.
Answer» `3//5` `1/5` `2//5` `4//5` Solution :TOTAL5 digitnumberpossible`=4xx4! =48` `( :'0 "can not be on"10000^(TH)"place")` Numberdivisibleby 5= `therefore P(E)=(4!)/(4xx4!)=(1)/(4)`

Discussion

3533.	The average age of a committee of eight members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years. Find the average age of the present committee.
Answer» 40 years 39 years 36 years 38 years Answer :B

Discussion

3534.	a and b are any numbers and x and y are any non negative integers. l(a) = the greatest integer less than or equal to a g(a) = the smallest integer greater than or equal to a r(x,y) = the remainder when x is divided by y. r(4, 7)- l(g(2)) is equal to :
Answer» 1 2 3 4 Answer :C

Discussion

3535.	Out of a no. of electronic items, a person purchases 60% coloured TVs 5% of these were found to be defective. The percentage of defective TVs in all is
Answer» `3%` `6%` `12%` Can't be determined Answer :A

Discussion

3536.	Find maximum and minimum value of cos^(2)theta+sin^(4)theta.
Answer» ANSWER :`(3)/(4)`

Discussion

3537.	60% of the total number of student passed in a class test. How many students failed, if the total number of students in the class is 1600 ?
Answer» 760 550 640 620 Answer :B

Discussion

3538.	If a^(2) + b^(2) = c^(2) then find (a^(6) + b^(6)- c^(6))/(a^(2) b^(2) c^(2))= ?
Answer» ANSWER :`-3`

Discussion

3539.	If the profit earned by Company L in the year 2008 was Rs. 3.63 lakhs, what was the amount of prorfit earned by it in the year 2006?
Answer» X 2.16 lakh 1.98 lakh X2.42 lakh cannot be DETERMINED ANSWER :C

Discussion

3540.	A can do (1)/(2) of a piece of work in 5 days B can do (3)/(5) of the same work in 9 days and C can do (2)/(3) of that work in 8 days. In how many days can three of them to gether do the work ?
Answer» ANSWER :4 DAYS

Discussion

3541.	If a/b = c/d =e/f = 4, then ( ma + nc + pe )/( mb + nd + pf) = ?
Answer» 1 2 3 4 Answer :D

Discussion

3542.	ABCD is an isoceles trapezium . AB\|\|CDAD=BCdiagonal intersectat O, area of ABO = 84 cm^(2) find area of Delta COD
Answer» ANSWER :` 1 = 21 CM ^(2)`

Discussion

3543.	The total number of men, women and children working in a factory is 18. They earn ₹ 4000 in a day. If the sum of the wages of all men, all women and all children is in the ratio of 18 : 10 : 12 and if the wages of an individual man, woman and child is in the ratio 6 : 5 : 3, then how. much a woman earn in a day?
Answer» ₹ 400 ₹ 250 ₹ 150 ₹ 120 Answer :B

Discussion

3544.	Mr. Been, who is getting older and senile, is standing on a crossroad totally confused about his directions.He can move in any of the four directions-North,South,East or West. He takes some steps and the comes back to the same point at the crossroad. In how many ways can he end up being at the same point where he is initially standing by taking total 8 steps?
Answer» 4900 6400 360 238 Answer :A

Discussion

3545.	Pascal and Rascal are two workers. Working together they can complete the whole work in 10 hours. If the Pascal worked for 2.5 hours and Rascal worked for 8.5 hours, still there was half of the work to be done. In how many hours Pascal working alone, can complete the whole work?
Answer» 24 HOURS `17 1/7` hours 40 hours can’t be determined Answer :B

Discussion

3546.	There are n points in a plane out of these points no three are in the same straight line except p points which are collinear. Let "k" be the number of straight lines and "m" be the number of triangles .Then find m−k ?(Assume n=7p=5)
Answer» <P>`""^(m+N)C_2` `""^(n-m)C_2` `""^(n)C_2-"^(p)C_ 2+1` noneof(A) ,(B ) ,(C) ANSWER :C

Discussion

3547.	If the diameterof the base of right circular cone is equal to 8 cm and its slant heightis 5 cm, then the area of its axial section is :
Answer» `9 cm^2` `12 cm^2` `20 cm^2` `40 cm^2` Answer :B

Discussion

3548.	ABCD is a cyclic trapezium whose side AD and BC are parallel to each other. If angle ABC=72^(@) then the measure of the angleBCD is :
Answer» `162^(@)` `18^(@)` `108^(@)` `72^(@)` ANSWER :D

Discussion

3549.	A family's ratio of savings to expenditure for last month was 2 : 13. This month, due to unforeseen expenditure, savings fell to50%of the amount saved last month. Salary, last month was Rs 10,000. This month there was an increase of 15%in the salary. How much did the family spend this month?
Answer» ANSWER :Rs.10833

Discussion

3550.	The ratio of milk and water in a mixture is 11 : 7. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes 1 : 1?
Answer» ANSWER :`2/11`

Discussion

Explore topic-wise InterviewSolutions in .

Both the end digits of a 99 digit number N are 2. N is divisible by 11, then all the middle digits are :

What is the least number which must be subtracted from 369 to make it a perfect cube?

The ratio of age of A and B is 8:9 and the age of B is 2/3 of C's age and age of C is 9/13 times the age of D. If the age of B is 18 years then the age of C is

Find the minimum value of (sintheta+cosectheta)^(2)+(costheta+sectheta)^(2)

Three numbers are selected at random without replacement from the set of numbers {1, 2, 3, … n}. The conditional probability that the 3rd number lies between the 1st two. If the 1st number is known to be smaller than the 2nd, is

If A(-2,1),B(2,3)a n dC(-2,-4)are three points, find the angle between B Aa n dB Cdot

sin((pi)/(10))sin((3pi)/(10))=?

Find the value of 1/(log_3e)+1/(log_3e^2)+1/(log_3e^4)+... is

If the ratio of the two numbers is 2 : 3 and their LCM is 54, then the sum of the two number is:

A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction is :

A retailer increases the selling price by 25% due to which his profit percentage increases from 20% to 25%. What is the percentage increase in cost price?

P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 8 and q = 10 , then the value of [(p $ q) Delta (p @ q)] ** [(q ** p) @ (q © p)] is :

P ** q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 11 and q = 7 , then the value of (p ** q) @ (p $ q) is:

P ** q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 15 and q = 25, then the value of the expression [(q**p)@(p $q)] is:

If each side of the octagon is a, find the area of the octagon.

For what value of k, the system of equations kx+2y=0, and 3x+y=1 will be coincident?

The maximum possible value of a+b+c+d will be where (a+b)=c (b+c)=d, (c+d)=a, for every a, b, c, dinI^+ :

How many students passed only in Q.A.?

A boxcontains5 defective and 15non -defectivebulbstwobulbsare chosenat random. Findthe probability thatboththebulbsare non - defective .

If P_r stands for "^rP_r, then the value of 1+1.P_1 +2.P_2+3.P_3+....+n.P_n is :

If P=acos^(3)x+3acosx.sin^(2)xandQ=asin^(3)x+3acos^(2)x.sinx, then (P+Q)^(2//3)+(P-Q)^(2//3)=?

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

There are two vessels A and B containing 25 litres each of pure milk and pure water respectively. 5 litres of milk from A is taken and poured into B, then 6 litres of mixture from B is taken and poured in A. What is the ratio of water in A and B respectively :

If selling price of an article (8)/(5) is times its cost price, the profit percent on it is

A trader marks his goods such that he can make 32% profit after giving 12% discount. However a customer availed 20% discount instead of 12%. What is the new profit percentage of trader?

Two poles 15 m and 30 m high stand upright in a play ground . If their feet be 36 m apart , find the distance between the tops.

Find the cost of carpeting a room 17 m long and 9m wide with a carpet 60 cm broad at 40 paise per metre.

a and b are any numbers and x and y are any non negative integers. l(a) = the greatest integer less than or equal to a g(a) = the smallest integer greater than or equal to a r(x,y) = the remainder when x is divided by y. r(16, 7)-2 is equal to :

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 97 and average of all the sections(i.e.,whole paper) was 92 then her score in the third section was:

A fivedigit number is formedwith the digits 0,1,2,3and 4 withoutrepetition,Find the chance thatthe numberisdivisibleby 5.

The average age of a committee of eight members is 40 years. A member aged 55 years retired and his place was taken by another member aged 39 years. Find the average age of the present committee.

a and b are any numbers and x and y are any non negative integers. l(a) = the greatest integer less than or equal to a g(a) = the smallest integer greater than or equal to a r(x,y) = the remainder when x is divided by y. r(4, 7)- l(g(2)) is equal to :

Out of a no. of electronic items, a person purchases 60% coloured TVs 5% of these were found to be defective. The percentage of defective TVs in all is

Find maximum and minimum value of cos^(2)theta+sin^(4)theta.

60% of the total number of student passed in a class test. How many students failed, if the total number of students in the class is 1600 ?

If a^(2) + b^(2) = c^(2) then find (a^(6) + b^(6)- c^(6))/(a^(2) b^(2) c^(2))= ?

If the profit earned by Company L in the year 2008 was Rs. 3.63 lakhs, what was the amount of prorfit earned by it in the year 2006?

A can do (1)/(2) of a piece of work in 5 days B can do (3)/(5) of the same work in 9 days and C can do (2)/(3) of that work in 8 days. In how many days can three of them to gether do the work ?

If a/b = c/d =e/f = 4, then ( ma + nc + pe )/( mb + nd + pf) = ?

ABCD is an isoceles trapezium . AB||CDAD=BCdiagonal intersectat O, area of ABO = 84 cm^(2) find area of Delta COD

Pascal and Rascal are two workers. Working together they can complete the whole work in 10 hours. If the Pascal worked for 2.5 hours and Rascal worked for 8.5 hours, still there was half of the work to be done. In how many hours Pascal working alone, can complete the whole work?

There are n points in a plane out of these points no three are in the same straight line except p points which are collinear. Let "k" be the number of straight lines and "m" be the number of triangles .Then find m−k ?(Assume n=7p=5)

If the diameterof the base of right circular cone is equal to 8 cm and its slant heightis 5 cm, then the area of its axial section is :

ABCD is a cyclic trapezium whose side AD and BC are parallel to each other. If angle ABC=72^(@) then the measure of the angleBCD is :

A family's ratio of savings to expenditure for last month was 2 : 13. This month, due to unforeseen expenditure, savings fell to50%of the amount saved last month. Salary, last month was Rs 10,000. This month there was an increase of 15%in the salary. How much did the family spend this month?

The ratio of milk and water in a mixture is 11 : 7. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of milk and water in the mixture becomes 1 : 1?

P q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 8 and q = 10 , then the value of [(p $ q) Delta (p @ q)] [(q ** p) @ (q © p)] is :

P q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 11 and q = 7 , then the value of (p q) @ (p $ q) is:

P q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q. If p = 15 and q = 25, then the value of the expression [(qp)@(p $q)] is: