8677 + Interview Questions in Maths in Class 14 Page 49 InterviewSolution

2401.	A man earns a profit of 10% on selling price. Find the profit percent on the cost price.
Answer» 11.11% 10% 12.10% NONE of these Answer :D

Discussion

2402.	Find the value of (log sqrt(27) + log 8 + log sqrt(1000))/(log 120)
Answer» ANSWER :`=3/2`

Discussion

2403.	Mohan and Sohan are working on a assignment. Mohan takes 6 hours to type 32 pages on a computer while Sohan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Answer» ANSWER :`8(1)/(4)` HOURS

Discussion

2404.	ABCD is a square . Another square EFGH with the same area is placed on the square ABCD such that the point of intersection of diagonals of square ABCD and square EFGH coincide and the sides of square EFGHare parallel to the diagonals of square ABCD. Thus a new figure is formed as shown in the figure . What is the area enclosed by the given figure if each side of the squareis 4 cm :
Answer» a. `32(2-SQRT(2))` B. `((3+ sqrt(2))/(2+ sqrt(2)))` c. `32((2+ sqrt(2))/(3+ sqrt(2)))` d. none of these Answer :A

Discussion

2405.	B is a sleeping partner and A working. A puts in Rs 5,000 and B puts in 6,000. A received 12(1)/(2)% of profit for managing the business and rest is divided in propoftion to their capitals. A's share of profit in a profit of Rs 880 is
Answer» ANSWER :RS. 460

Discussion

2406.	Kavita a student of IIMA, told me that she did everyday 3 more passages of English than that of previous day and thus she completed all the passages in 10 days. Later on she told me that the number of passages she did on the last but one day were four times that she did on the second day : Number of passages she has done on the last day
Answer» A.30 B.41 C.32 D.none of these Answer :D

Discussion

2407.	Kavita , a student of i4 IIM, told me that she did everyday 3 more passages of English than that of previous day and thus she completed all the passages in 10 days. Later on she told me that the number of passages she did on the last but one day were four times that she did on the second day. Total number of passages that she has completed in those 10 days :
Answer» 84 180 175 can't be determined Answer :C

Discussion

2408.	A sum is being lent at 20% p.a. compound interest. What is the ratio of increase in amount of 4^(th) year to.5^(th) year?
Answer» 0.17013888888889 `5:4` `5:6` can't be determined Solution :`(p(1+r/100)^4)/(p(1+r/100)^5)=1/((1+r/100))=100/(100+r)=100/120=5/6`

Discussion

2409.	Prove that: (1+sinA-cosA)/(1+sinA+cosA)=tanA/2
Answer» `TAN""(A)/(2)` `cot""(A)/(2)` `SIN""(A)/(2)` `COS""(A)/(2)` Answer :A::B

Discussion

2410.	A boy from Delhi and a girl from Meerut started walking towards each other. They both started withthe speed of 5 km/h. After every 1 hour the boy increased his speed by 1 km/h and the girl decreased her speed by 1 km/h. Distance between Delhi & Meerut is 110 km. Find the time taken by them to meet each other.
Answer» ANSWER :10 HRS.

Discussion

2411.	If D = 7744, then roots are
Answer» EQUAL and real irrational conjugate pairs rational and unequal Answer :D

Discussion

2412.	If n! = ((n + 4)!)/((n + 1)!) , then the value of n is :
Answer» 5 18 6 9 Answer :C

Discussion

2413.	Solve the following : (i) 38% (ii) 25% (iii) 66.66%
Answer» SOLUTION :`25%= 25/100 =1/4 =1:4`

Discussion

2414.	(x^(2)-7x+15)/(x-3), find remainder
Answer» ANSWER :3

Discussion

2415.	Find the solutions of the rational polynomial equation (x^2-4)/(x^3-x^2-6x)=0.
Answer» Solution :`(X^2-4)/(x^3-x^2-6x)=0implies((x+2)(x-2))/(x(x+2)(x-3))implies0implies((x-2))/(x(x-3))=0ximplies(x-2)=0impliesx=2` THEREFORE there is only one solution of the above RATIONAL EQUATION, which is`x=2`

Discussion

2416.	What is the sum of all the 4 digit numbers which can be formed with the digits 1, 2, 3, 4 without repetition?
Answer» 15560 87660 45600 66660 Answer :D

Discussion

2417.	A vessel of capacity 2 litre is 25% alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessle of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of mixture?
Answer» `31%` `71%` `49%` `29%` ANSWER :D

Discussion

2418.	If a^(1/3)+b^(1/3)+c^(1/3)=0 then which one of the following options is correct?
Answer» a+b+c=0 a+b+c=3abc `a^3+b^3+c^3=0` `(a+b+c)^3=27abc` ANSWER :D

Discussion

2419.	The production of rice in 2001-02 formswhat percentage of total production out of the given years?
Answer» `15.2%` `3.23%` `4.128%` `6.45%` ANSWER :C

Discussion

2420.	A person covers a distance of 80 km in 8 hours. some part of this journey is completed at the speed of 8 km/h and the rest at 16 km/h. Find distance covered at both speeds respectively.
Answer» ANSWER :48 KM, 32 km

Discussion

2421.	If A+B=45^(@),"then "(tanA)/(1-tanA).(tanB)/(1-tanB)= ?
Answer» ANSWER :`(1)/(2)`

Discussion

2422.	A die is rolled. Ifthe outcome is an oddnumberwhat is theprobabilitythat it isprime ?
Answer» `2/3` `1/3` `3/8` `5/6` ANSWER :A

Discussion

2423.	If a certain sum of money at simple interest amounts to Rs. 5184 in 2 years and to Rs. 5832 in 3 years, what is the sum and the rate of interest?
Answer» ANSWER :RS. 3888,

Discussion

2424.	A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3, 9,15,21,27,33...,99} If any two elements,greater than 50, belong to set A are transferred to Set C,then the average of Set C:
Answer» REMAINS constant decreases increases can't be determind Answer :C

Discussion

2425.	The marked price of a paino was Rs 15,000. At the time of sale, there weree successive discounts of 20%, 10% and 10% respectively on it. The sale price was?
Answer» ANSWER :RS. 9720

Discussion

2426.	If 5x^(2) + 4xy + y^(2) + 2x + 1= 0 then find the value of x, y
Answer» ANSWER :2

Discussion

2427.	Two coherent sources of equal intensities produce a maximum of 100 units. If the amplitude of one of the sources is reduced by 20%, then the maximum intensity produced will be :
Answer» 116 105 205 220 Answer :B

Discussion

2428.	If 'h' be the height of a pyramid standing on a base which is an equilateral triangle of side 'a' units, then the slant height is :
Answer» `SQRT(h^2+a^2/4)` `sqrt(h^2+a^2/8)` `sqrt(h^2+a^2/3)` `sqrt(h^2+a^2)` ANSWER :C

Discussion

2429.	Find the number of different straight lines obtained by joining n points on a plane, no three of which are collinear.
Answer» `N^3` `(n(n-1))/(2)` `n!` `2^4` ANSWER :B

Discussion

2430.	Mariya was travelling in her boat when the wind blew her hat off and the hat started floating back downstream. The boat continued to travel upstream for twelve more minutes before Mariya realized that her hat had fallen off and turned back downstream. She caught up with that as soon as it reached the starting point. Find the speed of river if Mariya's hat flew off exactly 3 km from where she started :
Answer» 5 km/h 6 km/h 7.5 km/h can't be determined Answer :C

Discussion

2431.	Without stoppage, the speed of a train is 54 km/h and with stoppage, it is 45 km/h. For how many minutes, does the train stop per hour?
Answer» ANSWER :`= 10 `MIN

Discussion

2432.	Find minimum value of 32cot^(2)theta+2tan^(2)theta.
Answer» ANSWER :14

Discussion

2433.	Roorkee express normally reaches its destination at 50 km/h in 30 hours find the speed at which it travels to reduce the time by 10 hours?
Answer» 38 km/h 76 km/h 75 km/h 60 km/h Answer :C

Discussion

2434.	39 persons can repair a road in 12 days working 5 hours a day. In how many days will 30 persons working 6 hours a day complete the work ?
Answer» ANSWER :13

Discussion

2435.	Do the points (4, 3), (-4, -6) and (7, 9) form a triangle ? If yes, then find the longest side of the triangle.
Answer» 18.6 16.5 24 34 Answer :A

Discussion

2436.	Three persons A,B and C are to speak at a function along with five others. If they all speak in random order, the probability that A speaks before B and B speaks before C is
Answer» a. `5/6` B. `1/6` C. `1/2` d. `1/3` ANSWER :B

Discussion

2437.	Initially Veer had 60% more love letters than that of Zara. In the last month the no. of love of Veer increased by 25% and that of Zara decreased by 25%. Again in the present month the no. of love letters of Veer decreased to 40% and that of Zara increased by 60%. Then which of the following statements is correct regarding the present no. of love letters :
Answer» VEER has 40% more letters than that of Zara Zara has 20% LESS letters than that of Veer Veer and Zara have equalno of letters Zara has 37.5% less letters than that of Veer. Answer :C

Discussion

2438.	Answer these questions based on the following information. In an amphitheater there are 10 distinguishable seats placed in a row. A family of five wants to sit together, while rest of the attendees can sit anywhere without any restriction. In how many ways can 5 seats be selected so that this family can sit together?
Answer» 4 5 6 10 Answer :C

Discussion

2439.	Before selling the milk to his customers, a milkman mixes 2 litres of freely available potable water with every 8 litres of pure milk procured from a dairy. While selling it to his customers, he gives exactly 10% less the what he claims to give and mark the price up by 20%. What is the overall profit (%) earned by the milkman?
Answer» 60 66.67 50 55 Answer :B

Discussion

2440.	A sailor in river takes a boat from place A to place B, and returns to A. place A and B are 21 km apart. And he takes 10 hours to go and return. The time taken by the boat to row 7 km downstream is equal to the time taken by the boat to row 3 km upstream. Then what is the speed of the current?
Answer» 1Km/h 2Km/h 3Km/h 4Km/h Solution :N/A

Discussion

2441.	Alloy A contains 40% gold and 60% silver. Alloy B contains 35% gold and 40% silver and 25% copper. Alloys A and B are mixed in the ratio of 1:4. What is the ratio of gold and silver in the newly formed alloy is?
Answer» `20% and 30%` `36% and 44%` `25% and 35%` `49% and 36%` ANSWER :B

Discussion

2442.	In an examination 90% of the student passed and 240 failed. How many students appeared for the examination
Answer» 2360 2400 2450 none of these Answer :A

Discussion

2443.	A student was asked to multiply a given number by (8)/(17) . Instead, he divided the given number by (8)/(17). His answer was 225 more than the correct answer. The given number was
Answer» 64 289 136 225 Answer :A

Discussion

2444.	From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is :
Answer» 15 16 25 31 Answer :A

Discussion

2445.	Find the remainder in expression– (1001 xx 1002 xx 1003 xx 1004)/(27)
Answer» 10 11 2 12 Answer :d

Discussion

2446.	Find the values of the following expression. (sec^2theta-1)/tan^2theta=?
Answer» 1 2 3 4 Answer :A

Discussion

2447.	findthe sumof allthefourdigitnumberswhich areformedby thedigits 1,2,5,6
Answer» 933510 93324 65120 8400 Answer :D

Discussion

2448.	Sania wanted to cut a cubical cake into 120 identical pieces applying minimum number of 'n' cuts. Later on she realised that she had to cut this cake into maximum number of identical pieces i.e., 125 pieces. Now she applies the number of cuts is:
Answer» n n+5 n+1 can't be determined Answer :A

Discussion

2449.	What will be the square root of 7921 ?
Answer» 89 87 37 47 Answer :A

Discussion

2450.	If a^(1/m) = b^(1/n) = c^(1/p) and abc = 1 , then m + n + p is equal to :
Answer» 0 2 1 -2 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

A man earns a profit of 10% on selling price. Find the profit percent on the cost price.

Find the value of (log sqrt(27) + log 8 + log sqrt(1000))/(log 120)

Mohan and Sohan are working on a assignment. Mohan takes 6 hours to type 32 pages on a computer while Sohan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

B is a sleeping partner and A working. A puts in Rs 5,000 and B puts in 6,000. A received 12(1)/(2)% of profit for managing the business and rest is divided in propoftion to their capitals. A's share of profit in a profit of Rs 880 is

A sum is being lent at 20% p.a. compound interest. What is the ratio of increase in amount of 4^(th) year to.5^(th) year?

Prove that: (1+sinA-cosA)/(1+sinA+cosA)=tanA/2

If D = 7744, then roots are

If n! = ((n + 4)!)/((n + 1)!) , then the value of n is :

Solve the following : (i) 38% (ii) 25% (iii) 66.66%

(x^(2)-7x+15)/(x-3), find remainder

Find the solutions of the rational polynomial equation (x^2-4)/(x^3-x^2-6x)=0.

What is the sum of all the 4 digit numbers which can be formed with the digits 1, 2, 3, 4 without repetition?

A vessel of capacity 2 litre is 25% alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessle of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of mixture?

If a^(1/3)+b^(1/3)+c^(1/3)=0 then which one of the following options is correct?

The production of rice in 2001-02 formswhat percentage of total production out of the given years?

A person covers a distance of 80 km in 8 hours. some part of this journey is completed at the speed of 8 km/h and the rest at 16 km/h. Find distance covered at both speeds respectively.

If A+B=45^(@),"then "(tanA)/(1-tanA).(tanB)/(1-tanB)= ?

A die is rolled. Ifthe outcome is an oddnumberwhat is theprobabilitythat it isprime ?

If a certain sum of money at simple interest amounts to Rs. 5184 in 2 years and to Rs. 5832 in 3 years, what is the sum and the rate of interest?

A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3, 9,15,21,27,33...,99} If any two elements,greater than 50, belong to set A are transferred to Set C,then the average of Set C:

The marked price of a paino was Rs 15,000. At the time of sale, there weree successive discounts of 20%, 10% and 10% respectively on it. The sale price was?

If 5x^(2) + 4xy + y^(2) + 2x + 1= 0 then find the value of x, y

Two coherent sources of equal intensities produce a maximum of 100 units. If the amplitude of one of the sources is reduced by 20%, then the maximum intensity produced will be :

If 'h' be the height of a pyramid standing on a base which is an equilateral triangle of side 'a' units, then the slant height is :

Find the number of different straight lines obtained by joining n points on a plane, no three of which are collinear.

Without stoppage, the speed of a train is 54 km/h and with stoppage, it is 45 km/h. For how many minutes, does the train stop per hour?

Find minimum value of 32cot^(2)theta+2tan^(2)theta.

Roorkee express normally reaches its destination at 50 km/h in 30 hours find the speed at which it travels to reduce the time by 10 hours?

39 persons can repair a road in 12 days working 5 hours a day. In how many days will 30 persons working 6 hours a day complete the work ?

Do the points (4, 3), (-4, -6) and (7, 9) form a triangle ? If yes, then find the longest side of the triangle.

Three persons A,B and C are to speak at a function along with five others. If they all speak in random order, the probability that A speaks before B and B speaks before C is

A sailor in river takes a boat from place A to place B, and returns to A. place A and B are 21 km apart. And he takes 10 hours to go and return. The time taken by the boat to row 7 km downstream is equal to the time taken by the boat to row 3 km upstream. Then what is the speed of the current?

Alloy A contains 40% gold and 60% silver. Alloy B contains 35% gold and 40% silver and 25% copper. Alloys A and B are mixed in the ratio of 1:4. What is the ratio of gold and silver in the newly formed alloy is?

In an examination 90% of the student passed and 240 failed. How many students appeared for the examination

A student was asked to multiply a given number by (8)/(17) . Instead, he divided the given number by (8)/(17). His answer was 225 more than the correct answer. The given number was

From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is :

Find the remainder in expression– (1001 xx 1002 xx 1003 xx 1004)/(27)

Find the values of the following expression. (sec^2theta-1)/tan^2theta=?

findthe sumof allthefourdigitnumberswhich areformedby thedigits 1,2,5,6

Sania wanted to cut a cubical cake into 120 identical pieces applying minimum number of 'n' cuts. Later on she realised that she had to cut this cake into maximum number of identical pieces i.e., 125 pieces. Now she applies the number of cuts is:

What will be the square root of 7921 ?

If a^(1/m) = b^(1/n) = c^(1/p) and abc = 1 , then m + n + p is equal to :