8677 + Interview Questions in Maths in Class 14 Page 152 InterviewSolution

7551.	Two trains are moving in the same direction with speeds of 15 km/h and 21 km/h, respectively. What is the speed of trains in respect of each other?
Answer» 26 km/h 15 km/h 6 km/h 24 km/h Answer :C

Discussion

7552.	A trader sold an article at a loss of 5% but when he increased the selling price by ₹ 65 he gained 3.33% on the cost price. If he sells the same article at ₹ 936, what is the profit percentage?
Answer» 0.15 `16.66%` `20%` DATA INSUFFICIENT ANSWER :C

Discussion

7553.	There are two vessels containning the mixture of milk and water. In the first vessel the water is 2/3 of the milk and in the second vessel water is just40% of the milk. In what ratio these are required to mix to make 24 litres mixure in which the ratio of water is to milk is 1 : 2?
Answer» 0.16875 0.21319444444444 0.7142 0.29513888888889 Answer :B

Discussion

7554.	A dishonest dealer sells goods at 6(1)/(4)% loss on cost price but uses 14 gms instead of 16 gms. What is his percentage profit of loss?
Answer» ANSWER :`7(1)/(7)%` PROFIT

Discussion

7555.	Chandni and Divakar can do a piece of work in 9 days and 12 days respectively. If they work for a day alternatively, Chandni beginning, in how many days, the work will be completed?
Answer» `10(1)/(4)` `9(1)/(4)` 11.11 10 Answer :A

Discussion

7556.	Find the number of unique Prime factors of 120.
Answer» SOLUTION :`120 = 2xx2xx2xx3xx5 = 2^3xx3^1xx5^1` THEREFORE the totak number of prime FACTORS of 120 = 3 + 1 + 1 = 5

Discussion

7557.	1/ (si n1 0^(@)) -(sqrt(3))/ (cos1 0^(@))=
Answer» ANSWER :4

Discussion

7558.	Find the distance of a line 3x+4y+30=0 from origin.
Answer» Answer :`d=\|(c_(2)-c_(1))/(sqrt(a^(2)-B^(2)))\|`

Discussion

7559.	The period of the pendulum is directly proportional to the square root of the length of the string. The period of such a pendulum with string of length 16 cm is 52 seconds. Find the length of the string if the period is 65 seconds :
Answer» (A) 4.5 cm (B) 5 cm (C) 6 cm (D) NONE of these Answer :D

Discussion

7560.	If tantheta+sintheta=m and tan theta-sin theta=n, then find the value of m^(2)-n^(2).
Answer» a) `SQRT(MN)` B) `2sqrt(mn)` C) `3sqrt(mn)` d) `4sqrt(mn)` ANSWER :D

Discussion

7561.	The points z_1, z_2, z_3, z_4 in the complex plane form the vertices of a parallelogram iff:
Answer» `z_1+z_2=z_3+z_4` `z_1+z_3=z_2+z_4` `z_1+z_3gtz_2+z_4` NONE of these Answer :B

Discussion

7562.	A bowler whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs in next inning and thereby decreases his average by 0.85. Find the number of wickets before last match.
Answer» ANSWER :80 WICKETS 75 KG

Discussion

7563.	A man borrows Rs. 21000 at 10% compound interest. How much he has to pay equally at the end of each year, to settle his loan in two years?
Answer» ANSWER :RS. 12100

Discussion

7564.	I went to Delhi @ speed of 200km/hr but suddenly I returned to the same place @ speed og 600km/hr.What is my average speed:
Answer» 300 km/hr 400 km/hr 366.66 km/hr none of these Answer :A

Discussion

7565.	The square root of 1238578 is :
Answer» 3254 3724 3258 None of these ANSWER :D

Discussion

7566.	If a and c are such that the quadratic equation ax^(2)-5x+c=0 has 10 as the sum of the roots and also as the product of the roots, find a and c respectively :
Answer» `1/2,6` `1/2,5` `1/2,8` NONE of these Answer :B

Discussion

7567.	In the problem number 31, if the divisor is 7 then the remainder is :
Answer» 4 5 6 1 Answer :B

Discussion

7568.	If cotalpha=(15)/(8), then ((2+2sinalpha)(1-sinalpha))/((1+cosalpha)(2-2cosalpha))=?
Answer» `(125)/(8)` `(225)/(64)` `(64)/(225)` `(8)/(125)` Answer :B

Discussion

7569.	In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of angleAQR and angleBRQ intersect at point O. If angleQOR = 50^@, what is the value (in degree) of angleQPR?
Answer» 1) 50 2) 60 3) 80 4)100 Answer :C

Discussion

7570.	If the pth term of an A.P. is q and its qth term is p then its mth term is :
Answer» pq/m pq-m p+q-m pqm Answer :C

Discussion

7571.	If a language of natural numbers has binary vocabulary of 0 and 1, then which one of the following strings represents the natural number 7 ?
Answer» 11 101 110 111 Answer :D

Discussion

7572.	Prove thatcos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha cos theta cos(alpha +theta) is independent of theta.
Answer» `sin^(2)alpha` `cos^(2)alpha` `TAN^(2)alpha` `SEC^(2)alpha` ANSWER :A

Discussion

7573.	There is a three digit number such that the sum of its end digits (unit digit and hundredth place digit) is always a single digit number. Another three digit number is obtained by reversing the position of end digits of the original number. Then what can be the possible sum of the tens digits of both these numbers ?
Answer» 5 12 15 26 Answer :B

Discussion

7574.	The value of log_(5)5 + log_(5)5^(2) + log_(5)5^(3)+…… + log_(5)5^(n):
Answer» N! `n^2-1` `((n+1)n)/2` NONE of these Answer :C

Discussion

7575.	(cos17^(@)+sin17^(@))/(cos17^(@)-sin17^(@))=?
Answer» `tan62^(@)` `tan56^(@)` `tan54^(@)` `tan74^(@)` ANSWER :A::B

Discussion

7576.	Find the square root of 15625.
Answer»

Discussion

7577.	In a 1 km race A gives B startup of 5 seconds and still wins over B by 15 seconds. The ratio of speeds of A and B is 2 : 1. Find the time taken by A to finish 2.5 km race.
Answer» ANSWER :50 SECONDS

Discussion

7578.	If one root of the quadratic equation ax^(2)+bx+c=0 is double the other then which one of the following is correct?
Answer» `b^(2)=3ac` `2B^(2)=5ac` `2b^(2)=9ac` `2b^(2) GT 9ac` ANSWER :C

Discussion

7579.	What is the remainder of 6^(36)/215?
Answer» 0 1 2 none of these Answer :B

Discussion

7580.	Which of the following numbers is the greatest of all? 0.9 0.bar(9), 0.bar(9), 0.0bar(9), 0.0bar(9)
Answer» 0.9 `0.bar(9)` `0.bar(09)` `0.bar(09)` ANSWER :B

Discussion

7581.	A person sells his T.V. at 25% profit of the cost price. If he sells his T.V. at 25% profit of the selling price then his profit is increased by (5% of C.P. + 8 Rs.). Find the cost price of T.V.
Answer» 640 800 632 750 Answer :A

Discussion

7582.	A ladder 6.5 m long is standing against a wall and the difference between the base of the ladder and wall is 5.2 m. If the top of the ladder now slips by 1.4 m, then by how much will the foot of the ladder slip?
Answer» 1.2 m 0.8 m 0.75 can't be determined Answer :B

Discussion

7583.	A and B enter into a partnership. A puts in the whole capital of Rs 45,000 on the condition that the profits will be equally divided after which B will pay A interest on half the capital at 10% p.a. and receive Rs 60 per month from A for carrying on the concern. What is the yearly profit, if B's income is half of A's income?
Answer» ANSWER :RS. 980

Discussion

7584.	If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is
Answer» 9 7 5 3 Answer :C

Discussion

7585.	How many numbers are there between 200 and 800 which are divisible by both 5 and 7?
Answer» 35 16 17 can't be determined Answer :C

Discussion

7586.	(2^(111))/(5)find R.
Answer» 1 2 3 4 Answer :`=3`

Discussion

7587.	There are two types of mixtures of milk and water. In the first mixture, out of 12 litres of mixture, 5 litre is milk only and in the second mixture, 6 litre is milk and 12 litre is water. Which one mixture is better in terms of milk's strength?
Answer» Solution :So the FIRST mixture has more milk in COMPARISON to WATER

Discussion

7588.	A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Answer» 66 km/h 72 km/h 78 km/h 81 km/h Answer :D

Discussion

7589.	(32^(32^32))/(7) find R .
Answer» 2 4 5 6 Answer :`=4`

Discussion

7590.	A certain number of men can do a work in 60 days. If there were 8 men less it could be finished in 10 days more. How many men are there?
Answer» (A) 30 (B) 40 (C) 50 (D) none on these Answer :A

Discussion

7591.	The time period of a pendulum is proportiona to the square rot of the length of the pendulum.Consider the following statements: 1. If the length of the pendulum is doubled, then the time period is also doubled. 2. If the length is halved, then time period becomes one fourth of the original time period. The correct assertions are
Answer» 1 2 neither 1 nor 2 both 1 and 2 Answer :C

Discussion

7592.	How many natural numbers from 1 to 900 are not multiples of any of the numbers 2, 3 and 5?
Answer» 160 240 320 280 Answer :B

Discussion

7593.	If a given quadratic equation is multiplied by -2, now the'parabola will open
Answer» upward downward in the ORIGINAL DIRECTION only the direction will be reversed Answer :D

Discussion

7594.	In the previous problem
Answer» 2250 2600 1350 can't be determined Answer :D

Discussion

7595.	Find the number of aspirants who had qualified none of the section.
Answer» 12 18 7 0 Answer :D

Discussion

7596.	A sum of ₹21000 is divided among A,B and C such that shares of A and B are in ratio of 2:3 and those of B and C are In the ratio 4:5.The amount received by B is :
Answer» ₹6000 ₹4500 ₹7200 ₹8400 Answer :B

Discussion

7597.	A person bought 2 fans for Rs 2160. After selling first fan at 15% profit and second at 9% loss he neither gains nor looses . Find C.P. of each fan?
Answer» ANSWER :130 RS

Discussion

7598.	Ajai and Kajol start towards each other at the same time from Barabanki and Fatehpur for their destinations Fatehpur and Barabanki respectively which are 300 km apart. They meet each other 120 km away from Barabanki. Shahrukh starts from Barabanki to Fatehpur, 1 hour after Ajai starts. Shahrukh meets Kajol 1.5 hours after Shahrukh starts. If the speed of Shahrukh is atleast 20 km/h faster than the speed of Kajol. Which of the following statements is true?
Answer» The MINIMUM possible SPEED of Ajai is 45 km/h The MAXIMUM possible speed of Ajai is 45 km/h The minimum possible speed of Kajol is 60 km/h The maximum possible speed of Kajol is 60 km/h Answer :B

Discussion

7599.	If (5+2sqrt6)^(x^(2)-3)+(5-2sqrt6)^(x^(2)-3)=10, then x =
Answer» `PM2,pmsqrt3` `pmsqrt2,PM4` `pm2,pmsqrt2` `2,sqrt2,SQRT3` Answer :C

Discussion

7600.	When any odd number greater than unity multiplied by even times by itself than dividing this product by 8, we get the remainder as :
Answer» a. 1 b. 7 c. not UNIQUE d. NONE of these ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

Two trains are moving in the same direction with speeds of 15 km/h and 21 km/h, respectively. What is the speed of trains in respect of each other?

A trader sold an article at a loss of 5% but when he increased the selling price by ₹ 65 he gained 3.33% on the cost price. If he sells the same article at ₹ 936, what is the profit percentage?

There are two vessels containning the mixture of milk and water. In the first vessel the water is 2/3 of the milk and in the second vessel water is just40% of the milk. In what ratio these are required to mix to make 24 litres mixure in which the ratio of water is to milk is 1 : 2?

A dishonest dealer sells goods at 6(1)/(4)% loss on cost price but uses 14 gms instead of 16 gms. What is his percentage profit of loss?

Chandni and Divakar can do a piece of work in 9 days and 12 days respectively. If they work for a day alternatively, Chandni beginning, in how many days, the work will be completed?

Find the number of unique Prime factors of 120.

1/ (si n1 0^(@)) -(sqrt(3))/ (cos1 0^(@))=

Find the distance of a line 3x+4y+30=0 from origin.

The period of the pendulum is directly proportional to the square root of the length of the string. The period of such a pendulum with string of length 16 cm is 52 seconds. Find the length of the string if the period is 65 seconds :

If tantheta+sintheta=m and tan theta-sin theta=n, then find the value of m^(2)-n^(2).

The points z_1, z_2, z_3, z_4 in the complex plane form the vertices of a parallelogram iff:

A bowler whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs in next inning and thereby decreases his average by 0.85. Find the number of wickets before last match.

A man borrows Rs. 21000 at 10% compound interest. How much he has to pay equally at the end of each year, to settle his loan in two years?

I went to Delhi @ speed of 200km/hr but suddenly I returned to the same place @ speed og 600km/hr.What is my average speed:

The square root of 1238578 is :

If a and c are such that the quadratic equation ax^(2)-5x+c=0 has 10 as the sum of the roots and also as the product of the roots, find a and c respectively :

In the problem number 31, if the divisor is 7 then the remainder is :

If cotalpha=(15)/(8), then ((2+2sinalpha)(1-sinalpha))/((1+cosalpha)(2-2cosalpha))=?

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of angleAQR and angleBRQ intersect at point O. If angleQOR = 50^@, what is the value (in degree) of angleQPR?

If the pth term of an A.P. is q and its qth term is p then its mth term is :

If a language of natural numbers has binary vocabulary of 0 and 1, then which one of the following strings represents the natural number 7 ?

Prove thatcos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha *cos theta* cos(alpha +theta) is independent of theta.

The value of log_(5)5 + log_(5)5^(2) + log_(5)5^(3)+…… + log_(5)5^(n):

(cos17^(@)+sin17^(@))/(cos17^(@)-sin17^(@))=?

Find the square root of 15625.

In a 1 km race A gives B startup of 5 seconds and still wins over B by 15 seconds. The ratio of speeds of A and B is 2 : 1. Find the time taken by A to finish 2.5 km race.

If one root of the quadratic equation ax^(2)+bx+c=0 is double the other then which one of the following is correct?

What is the remainder of 6^(36)/215?

Which of the following numbers is the greatest of all? 0.9 0.bar(9), 0.bar(9), 0.0bar(9), 0.0bar(9)

A person sells his T.V. at 25% profit of the cost price. If he sells his T.V. at 25% profit of the selling price then his profit is increased by (5% of C.P. + 8 Rs.). Find the cost price of T.V.

A ladder 6.5 m long is standing against a wall and the difference between the base of the ladder and wall is 5.2 m. If the top of the ladder now slips by 1.4 m, then by how much will the foot of the ladder slip?

If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is

How many numbers are there between 200 and 800 which are divisible by both 5 and 7?

(2^(111))/(5)find R.

There are two types of mixtures of milk and water. In the first mixture, out of 12 litres of mixture, 5 litre is milk only and in the second mixture, 6 litre is milk and 12 litre is water. Which one mixture is better in terms of milk's strength?

A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

(32^(32^32))/(7) find R .

A certain number of men can do a work in 60 days. If there were 8 men less it could be finished in 10 days more. How many men are there?

How many natural numbers from 1 to 900 are not multiples of any of the numbers 2, 3 and 5?

If a given quadratic equation is multiplied by -2, now the'parabola will open

In the previous problem

Find the number of aspirants who had qualified none of the section.

A sum of ₹21000 is divided among A,B and C such that shares of A and B are in ratio of 2:3 and those of B and C are In the ratio 4:5.The amount received by B is :

A person bought 2 fans for Rs 2160. After selling first fan at 15% profit and second at 9% loss he neither gains nor looses . Find C.P. of each fan?

If (5+2sqrt6)^(x^(2)-3)+(5-2sqrt6)^(x^(2)-3)=10, then x =

When any odd number greater than unity multiplied by even times by itself than dividing this product by 8, we get the remainder as :

Prove thatcos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha cos theta cos(alpha +theta) is independent of theta.