8677 + Interview Questions in Maths in Class 14 Page 25 InterviewSolution

1201.	It 2x+3y=19 and kx+6y=39 are parallel lines find k.
Answer» ANSWER :`(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))`

Discussion

1202.	In how many ways can 5 children be arranged in a line such that(i) two of them, Ram and Shyam, are always together;(ii) two of them,Ram and Shyam, are never together ?
Answer» a. 12, 42 b. 14, 40 c. 48, 72 d. 28, 80 Answer :D

Discussion

1203.	Nikhil invested certain amount in three different schemes A,B and C with the rate of interest 10% per annum, 12% per annum and 15% per annum, respectively., if the toal interest in one year was Rs. 3200 and the amount invested in scheme Cwas 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B,what was the amount invested in scheme B? ?
Answer» ANSWER :RS. 125

Discussion

1204.	[m] is defined as the greatest integer less than m [m] is defined as the least integer greater than m. f(x, y)={x}+[y] g(x. Y)=[x]-{y} F(f(x, y))={f(x, y)}=[g(x, y)] G(g(x, y))=[f(x, y)]-{g(x, y)} Which of the following is false ?
Answer» `f(x, y)+g(x, y)=F(f(x, y))+G(g(x, y))` `F(f(x, y))-G(g(x, y))=-2[g(x, y)]` `F(f(x, y)+G(g(x, y))=2{f(x, y)}+2` NONE of these Answer :A

Discussion

1205.	[m] is defined as the greater integer less than m. {m} is defined as the least integer greater than m. f(x,y) = {x}+[y] g(x,y) = [x] - {y} F(f(x,y)) = {f(x,y)} - [g(x,y)] G(g(x,y)) = [f(x,y)] - {g(x,y)} If x and y are consecutive integers, then find g(x,y):
Answer» `-1` `-3` `-1 or -3` NONE of these Answer :C

Discussion

1206.	In the following diagram the larger pentagon constitutes a smaller pentagon at the centre. Each side of the larger pentagon is known to be S. (##AHT_SKV_QCT_C12_E07_094_Q01.png" width="80%"> what would be the diagonal of the smaller pentagon?
Answer» `(7-2sqrt5)S` `(3(sqrt5-2))/2S` `((sqrt5-1))/2 S` none of these Answer :C

Discussion

1207.	[m] is defined as the greatest integer less than m [m] is defined as the least integer greater than m. f(x, y)={x}+[y] g(x. Y)=[x]-{y} F(f(x, y))={f(x, y)}=[g(x, y)] G(g(x, y))=[f(x, y)]-{g(x, y)} Given that x^(2)=4 and y^(2)=9 and \|F(f(x, y))\|=\|G(g(x, y))\| then find the value of x+y:
Answer» `-1` 0 1 5 Answer :A

Discussion

1208.	A postman goes with a speed of 36 km/h what is the speed of postman in m/s?
Answer» 4.5 m/s 6 m/s 10 m/s can't be determined Answer :C

Discussion

1209.	Find the square root of (461)/(8).
Answer» ANSWER :`=7.5911`

Discussion

1210.	A milk vendor has 21 lt of cow milk, 42 lt of toned milk and 63 lt of double toned milk. If he wants so pack them in cans so that each can contains same lt of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is
Answer» 3 6 9 12 Answer :B

Discussion

1211.	A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of its being a heart or a king.
Answer» `4/13` `9/13` `8/13` `11/26` ANSWER :A

Discussion

1212.	Find the slope of the line passing through the points A(2,3) and B(4,7).
Answer» a. `-4/3` B. `5/6` C. `2` d. NONE of these Answer :C

Discussion

1213.	p,q,r,w are 4 amounts such that p is S.I. of q.q is S.I. of r and r is S.I. of w. If the time & rate of intereset is equal to all three case find the ratio of p and w ?
Answer» ANSWER :`Q^(3) : R^(3)`

Discussion

1214.	A postman riding a bicycle at 15 km/h he can raech a village in 4 hours.if he delayed by 1 hour at the start the in orderto reach his destination in time,he should ride with a speed of:
Answer» 20 km/h 16 km/h 14 km/h 12 km/h Answer :A

Discussion

1215.	whatis the valueof x when""^(11) C_xforanynaturalnumberx ?
Answer» a. 7 B. 6 d. 5 d. both (b) and (c ) ANSWER :D

Discussion

1216.	If x^(4) + (1)/(x^(4)) = 322 find x^(3)- (1)/(x^(3))= ?
Answer» ANSWER :76

Discussion

1217.	There are 27 cards having number1 to 27. Twocards are pickedat randomone by one , what is the probability thatsumof number on these 2 cardsis odd ?
Answer» `(13)/(27)` `(8)/(13)` `(182)/(729)` `(14)/(27)` SOLUTION :Odd sumis there whenonecard drawn is odd andanotherprobability `=((13)/(27)XX(14)/(26))+((14)/(27)xx(13)/(26))=(14)/(27)`

Discussion

1218.	Find the remainder in expression - (1!^(2) + 2!^(2) + ……. 100!^(2))/(5)
Answer» 1 2 3 4 Answer :B

Discussion

1219.	A bus is moving with a uniform speed travelling a certain distance in a certain time. The speed of the bus is directly proportional to the distance travelled and inversely proportional to the square root of time. It travels is 60 km in 4 hours at a speed of 40 km/h. Then find how much distance will travel in 9 hours at a speed of 44 km/h?
Answer» ANSWER : 99 KM

Discussion

1220.	The set of all values of x satisfying x^(log_x\|3-x\|^2)=4:
Answer» `(sqrt3,2)`(1,5) (1,5) `[1,OO]` {1,5} ANSWER :D

Discussion

1221.	Solve the following expressions :53xx2-1xx6
Answer» SOLUTION :`53xx2-1xx6=106-6=100`

Discussion

1222.	Is there any film you have seen or novel you have read with a similar theme?
Answer» 8 12 21 none of these Answer :D

Discussion

1223.	k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
Answer» A) RS. 1640 B) Rs. 2500 C) Rs. 2160 D) Rs. 3000 Answer :4

Discussion

1224.	The ratio of milk and water in a mixture is 3 : 2. We withdraw 25 ltmixture and added 15 ltwater to the mixture, then ratio becomes 3 : 7. Find the initial quantity of milk.
Answer» 22 lt 24 lt 21 lt 19 lt Answer :B::D

Discussion

1225.	If ""^(56)P_(r+ 6):""^(54)P_(r+3) = 30800, find ""^(r)P_(2).
Answer» 1840 2640 1640 820 Answer :C

Discussion

1226.	A merchant earns 25% profit in general. Once his 25% consignment was abducted forever by some goondas. Trying to compensate his loss he sold the rest amount by increasing his selling price by 20%. What is the new percentage profit or loss
Answer» `10%` LOSS `12.5%` loss `12.5%` PROFIT `11.11%` loss Answer :C

Discussion

1227.	A man borrows Rs. 4000 from a bank at7(1)/(2)%compound interest. At the end of every year he pays Rs. 1500 as part repayment of loan and interest. How much does he still owe to the bank after three such installments?
Answer» ANSWER :RS. 123.75

Discussion

1228.	A natural number is chosen at random from the first 100 natural numbers. What is the probability that the number chosen is a multiple of 2 or 3 or 5?
Answer» `30/100` `1/33` `74/100` `7/10` ANSWER :C

Discussion

1229.	If tantheta=(11)/(13), then find (5sintheta-3costheta)/(5sintheta+2costheta)
Answer» `(81)/(16)` `(9)/(4)` `(16)/(81)` `(4)/(9)` Answer :C

Discussion

1230.	A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course :
Answer» 8 min 7.5 min 12.5 min 12 min Answer :B

Discussion

1231.	If a, b, c and d are four positive numbers such that a+b+c+d=4, then what is the maximum value of (a+1)(b+1)(c+1)(d+1)?
Answer» 32 8 16 81 Answer :C

Discussion

1232.	Find the square root of 105(4)/(64).
Answer» `15(1)/(4)` `15(12)/(4)` `10(1)/(4)` `6(2)/(4)` ANSWER :C

Discussion

1233.	Simplify (1)/((a-b)(a-c))+(1)/((b-c)(b-a))+(1)/((c-a)(c-b))
Answer» 0 1 3 none of these Answer :A

Discussion

1234.	A and B can do piece of work in 9 days and 18 days , respectively. As they were ill , they could do 90% and 72% of their efficiencyrespectively .How many days will they take to complete the work together?
Answer» `7 (1)/(7)` `8` `5` `10` ANSWER :A

Discussion

1235.	A circle touches a quadrilateralABCD. Find the true statement:
Answer» `AB+BC=CD+AD` `AB+CD=BC+AD` `BD=AC` NONE of the above Answer :B

Discussion

1236.	Solve the followings : [(x + 1/y)^a (x - 1/y)^b] div [(y + 1/x)^a (y - 1/x)^b] is equal to :
Answer» `(x/y)^(a + B)` `(y/x)^((a+b))` `(x^a)/(y^b)` `(XY)^(a+b)` ANSWER :A

Discussion

1237.	Rs. 6000 amounts to Rs . 7986 in 3 years at Cl. The rate of interest is :
Answer» `20%` `10%` `6%` `7.5%` ANSWER :B

Discussion

1238.	ABCD is trapezium in whichBC\|\|AD BC = 16 AD = 12 . Distance b/w // lines =10 cm find area
Answer» ANSWER :`140 CM^(2)`

Discussion

1239.	Find the co - ordinates of the point which divides the join (1, 7) and (4,-3) in the ratio 2:3.
Answer» `(1/5,(14)/5)` (2, 3) (1/5,3) (3,1/2) ANSWER :A

Discussion

1240.	Mohan bought an article at 25% less of the marked price and sold it at 15% more than the marked price. Find the profit earned by him.
Answer» 52.3 % 57.3% 55% 53.3 % ANSWER :A

Discussion

1241.	Suppose x_(i)=lambda^(i) for 0 le i le 10, where lambda gt 1. Which one of the following is correct?
Answer» `(1,1,1,0) XX (1,2,-1,1,1,0) = (1,3,1,0)` `(2,2,1,1) xx (4,4,4,4) = (16,6,10,5)` `(1,2,4,1,4,0)/(1,1,2,0) =(1,1,2,0)` NONE of these Answer :B

Discussion

1242.	In the sequence of reaction A to^(k_1) B to^(k_2) C to^(k_3) D, it is know that k_3 gt k_2 gt k_1. Then the rate determining step of the reaction is:
Answer» (3,5,2,2,1,2) (3,5,7,4,3,3,-7,1) (3,5,7,3,8,2) NONE of these Answer :B

Discussion

1243.	The average age of the committee of 10 members is 40 years. A member of age 52 retires and a new member of age 38 takes his place. What is the average age of the present committee?
Answer» 37.5 years 35.5 years 33.5 years 38.6 years Answer :C

Discussion

1244.	If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3)+10^(4) and c=1+10^(5)+10^(10)+……+10^(50) then
Answer» PRIME number COMPOSITE number MULTIPLE of 3 none of these Answer :B

Discussion

1245.	Rs. 171 are divided among four friends in the ratio of 1/3:1/4:1/5:1/6. What is the amount of the person who got the greatest share?
Answer» 14 40 36 60 Answer :A

Discussion

1246.	Two solutions of milk and water are kept in two vessels A and B. The ratio of quantity of milk in vesselsA and B is 4 : 5 while the ratio of quantity of water in vessels A and B is 8 : 9. It is known that that the concentration of milk in one of these vesselsbetween 60% and 80%. What could be the concentration of milk in the other vessel?
Answer» ANSWER :CONCENTRATIONOF milkin A between `57.44 %and78 . 26 % `

Discussion

1247.	Find the compound interest on Rs. 15625 for 9 months at 16% per annum compounded quarterly.
Answer» ANSWER :RS. 1951

Discussion

1248.	Find the value of 8C_3.
Answer» 56 `8!` 65 `3^8` ANSWER :A

Discussion

1249.	If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
Answer» A) 12 B) 15 B) 15 D) 19 Answer :C

Discussion

1250.	In DeltaABC, AB^(2)+AC^(2)=2500cm^(2) and median AD = 25 cm, Find BC:
Answer» 25 cm 40 cm 50 cm 48 cm Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

It 2x+3y=19 and kx+6y=39 are parallel lines find k.

In how many ways can 5 children be arranged in a line such that(i) two of them, Ram and Shyam, are always together;(ii) two of them,Ram and Shyam, are never together ?

[m] is defined as the greatest integer less than m [m] is defined as the least integer greater than m. f(x, y)={x}+[y] g(x. Y)=[x]-{y} F(f(x, y))={f(x, y)}=[g(x, y)] G(g(x, y))=[f(x, y)]-{g(x, y)} Which of the following is false ?

[m] is defined as the greater integer less than m. {m} is defined as the least integer greater than m. f(x,y) = {x}+[y] g(x,y) = [x] - {y} F(f(x,y)) = {f(x,y)} - [g(x,y)] G(g(x,y)) = [f(x,y)] - {g(x,y)} If x and y are consecutive integers, then find g(x,y):

In the following diagram the larger pentagon constitutes a smaller pentagon at the centre. Each side of the larger pentagon is known to be S. (##AHT_SKV_QCT_C12_E07_094_Q01.png" width="80%"> what would be the diagonal of the smaller pentagon?

[m] is defined as the greatest integer less than m [m] is defined as the least integer greater than m. f(x, y)={x}+[y] g(x. Y)=[x]-{y} F(f(x, y))={f(x, y)}=[g(x, y)] G(g(x, y))=[f(x, y)]-{g(x, y)} Given that x^(2)=4 and y^(2)=9 and |F(f(x, y))|=|G(g(x, y))| then find the value of x+y:

A postman goes with a speed of 36 km/h what is the speed of postman in m/s?

Find the square root of (461)/(8).

A milk vendor has 21 lt of cow milk, 42 lt of toned milk and 63 lt of double toned milk. If he wants so pack them in cans so that each can contains same lt of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of its being a heart or a king.

Find the slope of the line passing through the points A(2,3) and B(4,7).

p,q,r,w are 4 amounts such that p is S.I. of q.q is S.I. of r and r is S.I. of w. If the time & rate of intereset is equal to all three case find the ratio of p and w ?

A postman riding a bicycle at 15 km/h he can raech a village in 4 hours.if he delayed by 1 hour at the start the in orderto reach his destination in time,he should ride with a speed of:

whatis the valueof x when""^(11) C_xforanynaturalnumberx ?

If x^(4) + (1)/(x^(4)) = 322 find x^(3)- (1)/(x^(3))= ?

There are 27 cards having number1 to 27. Twocards are pickedat randomone by one , what is the probability thatsumof number on these 2 cardsis odd ?

Find the remainder in expression - (1!^(2) + 2!^(2) + ……. 100!^(2))/(5)

The set of all values of x satisfying x^(log_x|3-x|^2)=4:

Solve the following expressions :53xx2-1xx6

Is there any film you have seen or novel you have read with a similar theme?

k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?

The ratio of milk and water in a mixture is 3 : 2. We withdraw 25 ltmixture and added 15 ltwater to the mixture, then ratio becomes 3 : 7. Find the initial quantity of milk.

If ""^(56)P_(r+ 6):""^(54)P_(r+3) = 30800, find ""^(r)P_(2).

A merchant earns 25% profit in general. Once his 25% consignment was abducted forever by some goondas. Trying to compensate his loss he sold the rest amount by increasing his selling price by 20%. What is the new percentage profit or loss

A man borrows Rs. 4000 from a bank at7(1)/(2)%compound interest. At the end of every year he pays Rs. 1500 as part repayment of loan and interest. How much does he still owe to the bank after three such installments?

A natural number is chosen at random from the first 100 natural numbers. What is the probability that the number chosen is a multiple of 2 or 3 or 5?

If tantheta=(11)/(13), then find (5sintheta-3costheta)/(5sintheta+2costheta)

A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course :

If a, b, c and d are four positive numbers such that a+b+c+d=4, then what is the maximum value of (a+1)(b+1)(c+1)(d+1)?

Find the square root of 105(4)/(64).

Simplify (1)/((a-b)(a-c))+(1)/((b-c)(b-a))+(1)/((c-a)(c-b))

A and B can do piece of work in 9 days and 18 days , respectively. As they were ill , they could do 90% and 72% of their efficiencyrespectively .How many days will they take to complete the work together?

A circle touches a quadrilateralABCD. Find the true statement:

Solve the followings : [(x + 1/y)^a (x - 1/y)^b] div [(y + 1/x)^a (y - 1/x)^b] is equal to :

Rs. 6000 amounts to Rs . 7986 in 3 years at Cl. The rate of interest is :

ABCD is trapezium in whichBC||AD BC = 16 AD = 12 . Distance b/w // lines =10 cm find area

Find the co - ordinates of the point which divides the join (1, 7) and (4,-3) in the ratio 2:3.

Mohan bought an article at 25% less of the marked price and sold it at 15% more than the marked price. Find the profit earned by him.

Suppose x_(i)=lambda^(i) for 0 le i le 10, where lambda gt 1. Which one of the following is correct?

In the sequence of reaction A to^(k_1) B to^(k_2) C to^(k_3) D, it is know that k_3 gt k_2 gt k_1. Then the rate determining step of the reaction is:

The average age of the committee of 10 members is 40 years. A member of age 52 retires and a new member of age 38 takes his place. What is the average age of the present committee?

If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3)+10^(4) and c=1+10^(5)+10^(10)+……+10^(50) then

Rs. 171 are divided among four friends in the ratio of 1/3:1/4:1/5:1/6. What is the amount of the person who got the greatest share?

Find the compound interest on Rs. 15625 for 9 months at 16% per annum compounded quarterly.

Find the value of 8C_3.

If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:

In DeltaABC, AB^(2)+AC^(2)=2500cm^(2) and median AD = 25 cm, Find BC: