8677 + Interview Questions in Maths in Class 14 Page 31 InterviewSolution

1501.	A dog is chasing a rabbit. Initially distance between them is 125 leaps of dog. Time taken by rabbit to take 4 leaps is equal to time taken by dog to take 3 leaps. Rabbit covers 1.75 m in 1 leap and dog covers 2.75 m in 1 leap. Then in how many leaps will the dog catch the Rabbit.
Answer» ANSWER :525 LEAPS

Discussion

1502.	The ratio of salary of 4 men is 3 : 2:1:4. If they increase their salary by 10%, 15%, 12%, 20% respectively. Find out ratio of these income.
Answer» `165:115:56:240` `155:110:54:24` `165:156: 115:32` `115:165:56:24` ANSWER :A

Discussion

1503.	A shopkeepper allows a discount of 10% on the marked price of calculator. then by what per cent higher than cost price, should marked the price, so as to gain 20% on selling it at the discount?
Answer» ANSWER :`33(1)/(3)%`

Discussion

1504.	The minimum and maximum possible values of x/y, where 2 le x le 8 and 16 le y le 32, respectively are :
Answer» `1/8, 1/4` `1/16, 1/2` 2, 16 not unique Answer :B

Discussion

1505.	DeltaABC is an isosceles triangle with AB=AC, side BA is produced to D such that AB=AD. Prove that angleBCD is a right angle.
Answer» `60^@` `90^@` `120^@` can't be determined Answer :B

Discussion

1506.	Find the unit digit of the product of all the prime number between 1 and (11)^(11).
Answer» SOLUTION :The set of prime number S={2,3,5,7,11,13,...} Since there is one 5 and one 2 which gives 10 after multiplying mutually, it MEANS the unit digit will be ZERO.

Discussion

1507.	By how much amount M.P. should exceed to C.P. in order to earn profit of 17% even after giving discount of 10% .
Answer» ANSWER :0.3

Discussion

1508.	If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1 then (cos^(4)beta)/(cos^(2)alpha)+(sin^(4)beta)/(sin^(2)alpha)=?
Answer» 4 0 `(1)/(8)` 1 Answer :A

Discussion

1509.	If p, q are the positive integers and r, s, t are prime numbers such that the L.C.M. of p, q is r^4s^7t^2 then the number of ordered pairs (p, q) is :
Answer» 567 675 120 180 Answer :B

Discussion

1510.	Express each of the following as a rational expression. (x+1)/(x-1)+(x-1)/(x+1):
Answer» `1/2((x^2+1)/(x^2-1))` `(x^2+1)/(x^2-1)` `2(x^2+1)/(x^2-1)` `(x^2-1)/(x^2+1)` ANSWER :C

Discussion

1511.	Neha, a working lady, earn Rs. X per month. If she spends 2/5 th of her earning for personal uses and 3/4 th of the personal uses, she spends in entertainment while 7/20 th of the expenditure in entertainment she spends in movies only. Her salary would be, if her expenditure in movies is in intergers.
Answer» 4225 2175 200 3465 Answer :C

Discussion

1512.	Determine the ratio in which y-x+2=0 divides the line joining (3,-1) and (8,9) :
Answer» a. `3:5` B. `4:3` C. `2:3` d. NONE of these Answer :C

Discussion

1513.	15 persons can do a piece of work in 12 days. How many more people are required to complete the work in 10 days?
Answer» 4 5 3 none of these Answer :C

Discussion

1514.	A bag contains 4 red and 3 black balls. A second bag contains 2 red and4 black balls. One bag is selected at random. Form the selected bag, one allis drawn. Find the probability that the ball drawn is red.
Answer» `23/42` `19/42` `7/32` `16/39` ANSWER :B

Discussion

1515.	The Sabarmati Express left Ahmedabad for Mumbai. Having travelled 300 km, which constitutes 200/3 percent of the distance between Ahmedabad and Mumbai, the train was stopped by a red signal. Half an hour later, the track was cleared and the engine driver, having increased the speed by 15 km per hour, arrived at Mumbai on time. Find the initial speed of the Sabarmati Express.
Answer» ANSWER :60 km/h

Discussion

1516.	If m^n - m = (m - n)! where m > n > 1 and m = n^2 then the value of m^2 + n^2 is :
Answer» 272 90 20 none of (a), (B), (C) ANSWER :B

Discussion

1517.	The square root of 6250000 is :
Answer» 1308 2903 2500 none of these Answer :C

Discussion

1518.	(39.3 xx 53.4) + ( 26.7 xx 5.9 ) = ?
Answer» 2520.15 2256.15 2562.15 2652.15 Answer :B

Discussion

1519.	A and B working together can complete the work in 12 days. A can complete the work in 20 days. If B does work for half day each day, then in what time can the work be completed.
Answer» ANSWER :15 DAYS

Discussion

1520.	The multiplicative inverse of (3 + 2i)^2 is :
Answer» 12/169-5i/169 5/169-12i/169 5/13-12i/13 none of these Answer :B

Discussion

1521.	Two posts are 25 m and 15 m high and the line joining their tips makes an angle of 45^(@) with horizontal. The distance between these posts is :
Answer» 5 m `(10)/SQRT2` m 10 m `10sqrt2` m Answer :C

Discussion

1522.	findthevalueof ""^(8) C_3.
Answer» 56 `8!` 65 `3^8` ANSWER :A

Discussion

1523.	What is the digit in the tens in the product of the first 35 even natural numbers ?
Answer» 16, 32 28, 42 31, 23 12, 63 Answer :D

Discussion

1524.	Answer these questions based on the following information. There are twelve security guards made to stand around a circular football stadium. Any six guards who are adjacent to each other, need a replacement. In how many ways can these guards be selected for replacement?
Answer» 36 18 2 12 Answer :D

Discussion

1525.	Find the value of sin75^@
Answer» `(SQRT3+1)/(2SQRT2)` `sqrt3/(2+sqrt2)` `(sqrt3-1)/(2sqrt2)` `(2+sqrt2)/sqrt3` ANSWER :A

Discussion

1526.	Which one of the following is true about A.M. , G.M. and H.M. :
Answer» `H.M.geG.M.geA.M.` `A.M.geH.M.geG.M.` `A.M.geG.M.geH.M.` `G.M.geH.M.geA.M.` ANSWER :C

Discussion

1527.	The value of x for which the value of abs(3x+18) is minimum :
Answer» 3 5 -6 none of these Answer :C

Discussion

1528.	The value of 1/(i^n) + 1/(i^(n + 3)) + 1/(i^(n + 2)) + 1/(i^(n + 1)) is :
Answer» -1 1 0 can't be determined Answer :C

Discussion

1529.	If a+b+c= 0, then (a+b)/(c ) + (b+c)/(a) + (c +a)/(b)= ?
Answer» ANSWER :`-3`

Discussion

1530.	Monthly income of Ramesh is Rs. 5000 and he spends it in ratio 2 : 5 on clothes and food. If price of clothes is increased by 10%and price of food is increased by 20% , then by how much percent his income should be increased so that the ratio of his expenditure remains the same.
Answer» ANSWER :`17 (1)/(7)%`

Discussion

1531.	A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is
Answer» A) 35 B) 40 C) 45 D) 50 Answer :`45%`

Discussion

1532.	On return from a business trip. Anand was to be picked up from Airport by his coachman. However his meeting finished before schedule so he left for his destination earlier by catching an earlier flight as a result of which he reached 2 hours early. Immediately on arrival he called up home to convey the coach that he had reached and was told that he had just left in order to reach on time by which Anand was scheduled to come. To save time he started walking home at 4 mile/hour on the way he meet the coachman and reached 1 hour earlier. How far is Anand's home from Airport.
Answer» ANSWER : 24 MILES

Discussion

1533.	Find the maximum possible number of regions created by 6 overlapping triangles.
Answer» 36 63 92 96 Answer :C

Discussion

1534.	A goldsmith has two qualities of gold, one of 24 carats and another of 32 carats purity.In whta proportion should he mix both to make an ornament of 30 carats purity?
Answer» `1 : 3` `2 : 3` `3 : 2` `1 : 5` ANSWER :A

Discussion

1535.	Mr. Black has three kinds of wine. Of the first kind 403 litres, of the second kind 434 litres of the third kind 465 litres. What is the least number of full carks of equal size in which this can be stored without mixing?
Answer» 31 39 42 51 Answer :C

Discussion

1536.	A merchant marks his goods at ₹ 300 and allows a discount of 25%. If he still gains 12.5%, then the cost price of article is:
Answer» ₹ 220 ₹ 200 ₹ 240 ₹ 260 Answer :B

Discussion

1537.	There were two candidates in an election. 8% of voters did not cast their votes. The winning candidate secured 48% vote of total votes and won by 1100 votes. Find the total votes.
Answer» ANSWER :27500

Discussion

1538.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} The average of the Set C is :
Answer» 52 49.87 55.46 can't be determined Answer :C

Discussion

1539.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} If an element less than 50 belongs to Set A is transferred to Set B, then the average of Set B :
Answer» a. increases B. decreases c. REMAINS d. can't say Answer :B

Discussion

1540.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} If any two elements, greater than 50, belong to Set A are transferred to Set C, then the average of Set C :
Answer» A. REMAINS constant B. decreases C. increases D. can't say Answer :C

Discussion

1541.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} If a least and a greatest element of Set C are transferred from Set C to Set A then the average of Set A :
Answer» a. increases b. decreases c. REMAINS constant d. can't be determined Answer :A

Discussion

1542.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} Any 10 elements of the Set A are transferred to the Set B, the the average of Set B :
Answer» a. increases b. decreases c. REMAINS constant d. can't say Answer :D

Discussion

1543.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} The average of the elements of the Set A and C combined as :
Answer» `49.50` `50.50` 55 none of these Answer :B

Discussion

1544.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} If a smallest and a greatest element of the Set B is transferred to Set A, then the averages of A, B, C respectively :
Answer» a. decreases, decreases, INCREASES b. decreases, constant andincreases C. increases, constant, constant d. can't be determined Answer :C

Discussion

1545.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} If an element 2 is also included in the Set B, then the average of B :
Answer» a. decreases by 3 b. INCREASES by 3 c. decreases by 1 d. can't be determined Answer :C

Discussion

1546.	There are 3 sets of natural numbers 1 ot 100. Set A contains all the natural numbers which are prime, upto 100. Set B contains all the non-primeeven natural numbers upto 100. Set C contains all the non-prime odd natural numbers upto 100 i.e., A = {2,3,5,7,11,...89, 97} B = {4,6,8,10,12,...98,100} C = {1,9,15,21,25,27,33,95,99} The average of all perfect squares of the Set C is :
Answer» a. 3570 B. 3300 c. 2446 d. NONE of these Answer :B

Discussion

1547.	cos^(3)10^(@)+cos^(3)110^(@)+cos^(3)130^(@)=?
Answer» `(3)/(4)` `(3)/(8)` `(3sqrt(3))/(8)` `(3sqrt(3))/(4)` ANSWER :C

Discussion

1548.	If (25)_(n) xx (31)_(n) = (1015)_(n) then the value of (13)_(n) xx (52)_(n) is when n > 0:
Answer» `a. (626)_(4)` b.`(462)_(N)` C. `(716)_(n) ` d. `(676)_(n)` Answer :C

Discussion

1549.	If5/3 and 3 are the two roots of a quadratic equation, then which one of the following is the correct quadratic equation?
Answer» `3x^2- 15X -14 =0` `3x^2 +14x -15 =0` `3x^2 -14x +15 =0` none of these Answer :B

Discussion

1550.	A, B and C working together can finish a piece of work in 32 days. They worked for 24 days and after that the C left. Rest of the work is completed by A and B in 28 days. Work done by A in 1 day is equal to work done by B in 2 days. In how many days working alone each one will finish the work?
Answer» Answer :`A to 168` days, `B to 336` days, `C to 44(4)/(5)` days

Discussion

Explore topic-wise InterviewSolutions in .

A dog is chasing a rabbit. Initially distance between them is 125 leaps of dog. Time taken by rabbit to take 4 leaps is equal to time taken by dog to take 3 leaps. Rabbit covers 1.75 m in 1 leap and dog covers 2.75 m in 1 leap. Then in how many leaps will the dog catch the Rabbit.

The ratio of salary of 4 men is 3 : 2:1:4. If they increase their salary by 10%, 15%, 12%, 20% respectively. Find out ratio of these income.

A shopkeepper allows a discount of 10% on the marked price of calculator. then by what per cent higher than cost price, should marked the price, so as to gain 20% on selling it at the discount?

The minimum and maximum possible values of x/y, where 2 le x le 8 and 16 le y le 32, respectively are :

DeltaABC is an isosceles triangle with AB=AC, side BA is produced to D such that AB=AD. Prove that angleBCD is a right angle.

Find the unit digit of the product of all the prime number between 1 and (11)^(11).

By how much amount M.P. should exceed to C.P. in order to earn profit of 17% even after giving discount of 10% .

If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1 then (cos^(4)beta)/(cos^(2)alpha)+(sin^(4)beta)/(sin^(2)alpha)=?

If p, q are the positive integers and r, s, t are prime numbers such that the L.C.M. of p, q is r^4s^7t^2 then the number of ordered pairs (p, q) is :

Express each of the following as a rational expression. (x+1)/(x-1)+(x-1)/(x+1):

Determine the ratio in which y-x+2=0 divides the line joining (3,-1) and (8,9) :

15 persons can do a piece of work in 12 days. How many more people are required to complete the work in 10 days?

A bag contains 4 red and 3 black balls. A second bag contains 2 red and4 black balls. One bag is selected at random. Form the selected bag, one allis drawn. Find the probability that the ball drawn is red.

If m^n - m = (m - n)! where m > n > 1 and m = n^2 then the value of m^2 + n^2 is :

The square root of 6250000 is :

(39.3 xx 53.4) + ( 26.7 xx 5.9 ) = ?

A and B working together can complete the work in 12 days. A can complete the work in 20 days. If B does work for half day each day, then in what time can the work be completed.

The multiplicative inverse of (3 + 2i)^2 is :

Two posts are 25 m and 15 m high and the line joining their tips makes an angle of 45^(@) with horizontal. The distance between these posts is :

findthevalueof ""^(8) C_3.

What is the digit in the tens in the product of the first 35 even natural numbers ?

Answer these questions based on the following information. There are twelve security guards made to stand around a circular football stadium. Any six guards who are adjacent to each other, need a replacement. In how many ways can these guards be selected for replacement?

Find the value of sin75^@

Which one of the following is true about A.M. , G.M. and H.M. :

The value of x for which the value of abs(3x+18) is minimum :

The value of 1/(i^n) + 1/(i^(n + 3)) + 1/(i^(n + 2)) + 1/(i^(n + 1)) is :

If a+b+c= 0, then (a+b)/(c ) + (b+c)/(a) + (c +a)/(b)= ?

Monthly income of Ramesh is Rs. 5000 and he spends it in ratio 2 : 5 on clothes and food. If price of clothes is increased by 10%and price of food is increased by 20% , then by how much percent his income should be increased so that the ratio of his expenditure remains the same.

A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is

Find the maximum possible number of regions created by 6 overlapping triangles.

A goldsmith has two qualities of gold, one of 24 carats and another of 32 carats purity.In whta proportion should he mix both to make an ornament of 30 carats purity?

Mr. Black has three kinds of wine. Of the first kind 403 litres, of the second kind 434 litres of the third kind 465 litres. What is the least number of full carks of equal size in which this can be stored without mixing?

A merchant marks his goods at ₹ 300 and allows a discount of 25%. If he still gains 12.5%, then the cost price of article is:

There were two candidates in an election. 8% of voters did not cast their votes. The winning candidate secured 48% vote of total votes and won by 1100 votes. Find the total votes.

cos^(3)10^(@)+cos^(3)110^(@)+cos^(3)130^(@)=?

If (25)_(n) xx (31)_(n) = (1015)_(n) then the value of (13)_(n) xx (52)_(n) is when n > 0:

If5/3 and 3 are the two roots of a quadratic equation, then which one of the following is the correct quadratic equation?

A, B and C working together can finish a piece of work in 32 days. They worked for 24 days and after that the C left. Rest of the work is completed by A and B in 28 days. Work done by A in 1 day is equal to work done by B in 2 days. In how many days working alone each one will finish the work?