8677 + Interview Questions in Maths in Class 14 Page 53 InterviewSolution

2601.	A circle is the circumcircle for the triangle DEF and the incircle for the triangle ABC. If the angles of triangle DEF are 76^@, 56^@ and 48^@, find the values of internal angles of triangleABC.
Answer» 32,46,92 28,68,84 38,48,74 data insufficient Answer :B

Discussion

2602.	If the compound interest on a certain sum for 2 years at the rate of 10% is Rs. 105 and simple interest is Rs. 100, then the sum is
Answer» ANSWER :RS. 500

Discussion

2603.	Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates so that no box remains empty ?
Answer» 36 55 66 91 Answer :B

Discussion

2604.	Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 identical crates ?
Answer» 20 16 19 25 Answer :C

Discussion

2605.	An urn contains 4 white 6 black and 8 red balls. If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.
Answer» `5/204` `1/204` `13//204` NONE of these Answer :B

Discussion

2606.	Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates ?
Answer» (A) 19 (B) 91 (C) 81 (D) 61 Answer :B

Discussion

2607.	In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
Answer» 2900 3100 2700 2500 Answer :C

Discussion

2608.	In how many ways can 12 identical bouquets be kept in 3 distinct crates so that each box has the same number of bouquets ?
Answer» (A) 36 (B) 1 (C) 2 (D) 12 Answer :D

Discussion

2609.	Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates so that at least 2 bouquets must be there in each bouquet ?
Answer» 28 24 42 36 Answer :A

Discussion

2610.	Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates so that the smallest box has at least 2 bouquets, the largest box has at least 4 bouquets and the third one has at least 3 bouquets ?
Answer» 10 20 21 32 Answer :A

Discussion

2611.	If nine squares are chosen at random on a chess board, find the probability that they form a square of size 3xx3.
Answer» `9/(""^64C_9` `36/(""^64C_9` `6/(""^64C_9` none of these Answer :B

Discussion

2612.	A divisor is 25 times the quotient and 5 times the remainder. The quotient is 16, the dividend is
Answer» 6400 6480 400 480 Answer :B

Discussion

2613.	What will be factors of (a^(2)-b^(2))^(3) + (b^(2) -c^(2))^(3) + (c^(2) - a^(2))^(3)
Answer» `(a+B) (a-b)` `(a+b) (a+b)` `(a-c) (a-c)` `(b-c) (b-c)` ANSWER :A::B

Discussion

2614.	There are 5 different boxes and 7 different balls. All the balls are to be distributed in the 5 boxes placd in a row so that any box can receive any number of balls. In how many ways can these balls be distributed such that no box is empty and ball 2 and ball 4 cannot be put in the same box?
Answer» 1200 15000 3800 none of these Answer :B

Discussion

2615.	4.999 +1.999 xx 6.001 = ?
Answer» a. 24 b. 20 C. 15 d. 10 Answer :C

Discussion

2616.	A number of friends decided to go on a picnic and planned to spend Rs 108 on eatables. Three of them however did not turn up. As a consequence each one of the remaining had to contribute Rs 3 extra. The number of them who attended the picnic was :
Answer» 15 12 9 6 Answer :C

Discussion

2617.	Every artist of Rangmanch theatre adorns oneself with a two piece attire - dhoti and kurta. If N is the number of combinations of dhoti and kurta that any actor of Rangmanch can wear and N
Answer» `1 lt N lt 99` `799 lt N lt 899` `899 lt N lt 999` `399 lt N lt 499` ANSWER :B

Discussion

2618.	Total numbers of factors of a greatest possible number which when divides 1313 and 621, the respective remainders obtained are 17 and 9 :
Answer» 9 10 11 can't be determined Answer :A

Discussion

2619.	By selling an object for Rs 900, a man earns a profit that is double the loss incurred when the object is sold for Rs 450. If he sells it at a profit of 20%, find the selling price of this object.
Answer» 554 618 620 None of these Answer :A

Discussion

2620.	The difference between compound interest (compounded annually) and simple interest on a sum of Rs. 1000 at a certain rate of interest for 2 years is Rs. 10. The rate of interest per annum is:
Answer» if the data in Statement I alone are sufficient to answer the QUESTION, while the data in statement II alone are not sufficient to answer to question. if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question. if data either in statement I alone or in statement II alone are sufficient to answer the question. if the data in both the statements I and II together are necessary to answer the question. Solution : `implies(5xxx15xx2)/(100){3x(1+(20)/(100))^(2)-3x}-900` `implies(3x)/(2)-{3x xx(36)/(25)-3x}=900` `=(3x)/(2)-{(108x-75x)/(25)}=900` `implies(75x-66x)/(50)=900implies9x=900xx50` `impliesthereforexRs.5000` Amount INVESTED in scheme `A=3xx5000=15000`

Discussion

2621.	What is the perimeter of a semi-circle? I. The radius of the semi-circle is equal to half the side of a square. II. The area of the square is 196 sq cm
Answer»

Discussion

2622.	A hollow cylindrical tube open at both end is made of iron 2 cm thick. If the external diameter be 50 cm and the length of the tube is 210 cm, find the number of cubic cm of iron in it.
Answer» Solution :External radius (R) = 25 cm Internal radius (r) = (25-2)= 23 cm VOLUME of IRON = `pi h(R^2-r^2)` = `(22)/7 xx 210 xx (25^2-23^2)` =`63360 cm^2`

Discussion

2623.	The two adjacent sides of parallelogram are 25 cm and 40 cm respectively . The altitude drawn on the longerside is 18 cm, then the areaof the parallelogram is :
Answer» `450 cm^2` `720 cm^2` `500 cm^2` NONE of these Answer :B

Discussion

2624.	Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank?
Answer» A) 48min B) 72min C) 24min D) NONE of these Answer :`(4)/(3)`

Discussion

2625.	A sum of money is distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets rs.2000 more than D, what is B's share?
Answer» a. 1000 B. 3000 c. 4000 d. 4800 Answer :B

Discussion

2626.	DHL is a leading logistics company in India. In order to optimize its resources it has virtually divided the whole market region into four zones and each zone is again divided into five blocks. There are two dedicated trucks of DHl carrying the goods between any two blocks of different zones. Exactly, how many trucks of DHL are engaged in the stated market?
Answer» 72 660 530 484 Answer :C

Discussion

2627.	A,B, C and D purchased a cine-multiplex for ₹56 lakhs. The contribution of B,C and D together is 460% that of A,alone . The contribution of A,C and D together is 366.66% that of B's contribution and the contribution of C is 40% that of A,B and D together. The amount contributed by D is
Answer» 10 lakh 12 lakh 16 lakh 18 lakh Answer :D

Discussion

2628.	A page contains 60 lines. A chapter contains 125 pages. A book contains 5 chapters. 20 such books form a bound. If there are 30 lakhs lines in an x number of bounds then the value of x is :
Answer» 4 2 5 6 Answer :A

Discussion

2629.	Raghupati goes at a speed of 60 km/h. Raghav goes at a speed of 36 km/h. Raja Ram can go from Azamgarh to Barelley in 2 hours. The distance between Azamgarh to Barelley is equal to the distance between Azamgarh to Chandoli. Raghav takes the same time travelling from Barelley to Azamgarh as from Barelley to Chandoli at his regular speed which is twice the speed of Raja Ram. What is the distance between Azamgarh and Chandoli?
Answer» 60 km 27 km 36 km 18 km Answer :C

Discussion

2630.	Raghupati goes at a speed of 60 km/h. Raghav goes at a speed of 36 km/h. Raja Ram can go from Azamgarh to Barelley in 2 hours. The distance between Azamgarh to Barelley is equal to the distance between Azamgarh to Chandoli. Raghav takes the same time travelling from Barelley to Azamgarh as from Barelley to Chandoli at his regular speed which is twice the speed of Raja Ram. How much time will Raghupati take to complete a round trip of the three cities?
Answer» 1 H 12 min 1 h 48 min 1 h 30 min 1 h 36 min Answer :B

Discussion

2631.	Raghupati goes at a speed of 60 km/h. Raghav goes at a speed of 36 km/h. Raja Ram can go from Azamgarh to Barelley in 2 hours. The distance between Azamgarh to Barelley is equal to the distance between Azamgarh to Chandoli. Raghav takes the same time travelling from Barelley to Azamgarh as from Barelley to Chandoli at his regular speed which is twice the speed of Raja Ram. If Raghupati and Raja Ram travel towards each other from Barelley and Chandoli respectively, how far from Barelley will they meet each other?
Answer» `60/13` `27(9)/(13)km` `37(9)/(13)` `360/9` ANSWER :B

Discussion

2632.	Let f(x)=ax^p+bx^q+cx+d then f(x)=p(ax^(p-1))+q(bx^(q-1)+cx^0) Also, if f (k) = 0, then f (k) will give local maxima or local minima. Also, if there are various peak values of a graph then the highest peak value is called the absolute or global maximum and rest are called the local maxima. Similarly absolute or global minimum and local minima too can be defined.f(x)=x^3+bx^2+cx+dis a cubic polynomial such that 0ltb^2ltc , then is the interval of all the real numbers (-oo,oo)
Answer» F(x) is a striedy INCREASING function f(x) is a strictly DECREASING function f(x) has a local maxima f(x)has a local minima Answer :A

Discussion

2633.	There are two trains runing on two parallel tracks length of each train I s 120 m when they are runing in opposite directions they cross each other in 4 seconds and when they are runing in the same direction they cross in 12 seconds.What is the speed of the faster train?
Answer» 80 km/h 72 km/h 120 km/h 144 km/h Answer :D

Discussion

2634.	The price of an article of rs100 is icreased by 20% the again its price increased by 10%. How much is price increased in total price?
Answer» a. 32 b. 20 C. 30 d. NONE of these Answer :C

Discussion

2635.	The true discount at a bill of ? 3720 due 8 months hence is X 120. Find the banker's gain.
Answer» ANSWER :RS. 4

Discussion

2636.	A room is half as long as it is broad. The cost of carpeting the room at Rs 3.25 sq.mis Rs 175.50 and the cost of preparing the walls at Rs1.40 per sq.m is Rs240.80. If 1 door and 2 windows occupy 8sq.m , then find the dimensions of the room ?
Answer» ANSWER :C

Discussion

2637.	Rahul is twice efficient as Ram. If both of them can complete the work in 12 days. Then find the number of days Rahul would take to complete the work above.
Answer» ANSWER :18 DAYS

Discussion

2638.	The difference between C.I. and S.I. at a certain rate on rs. 2000 at the end of 2years is rs.12.8. The rate of inerest is:
Answer» a. 6.8% B. 8% C. 12.8% d. 16.8% ANSWER :C

Discussion

2639.	In the given figure, AB = BC and angleBAC = 15^(@), AB=10cm. Find the area of DeltaABC:
Answer» `50cm^(2)` `40cm^(2)` `25cm^(2)` `32CM^(2)` Answer :C

Discussion

2640.	LCM of the polynomials P and Q, where P=(x-2)(x+1)^(2)(x+3)^(2) Q=(x+1)^(2)(x+3)(x+4) is given by :
Answer» `(x-2)(x+1)(x+3)^2(x+4)` `(x-2)(x+4)(x+3)^2(x+1)^2` `(x-2)(x+1)^2(x+3)(x+4)` `(x+1)(x-2)(x+3)(x+4)` ANSWER :B

Discussion

2641.	If p^r . P^(-1) . P^s = (sqrt(p^3))^(2) and p^(3//2).p^r = p^s.p^(-1//2) then the value of (r + s)^((r + s)) is :
Answer» 27 64 4 none of these Answer :D

Discussion

2642.	A person bought some caps at rate of 60 for Rs 93 and sold them at the rate of 50 for Rs 93.Find the profit or loss %.
Answer» ANSWER :20% PROFIT

Discussion

2643.	Ram spends 70% of his salary and deposits 15 % of his salary in the bank. If he is left with Rs. 1500, what is his monthly salary?
Answer» Rs.10500 Rs.10000 Rs.9500 Rs.9000 Answer :D

Discussion

2644.	A person has 3 shirts 4 coats and 6 ties. In how many ways can he wear them?
Answer» A. 27 B. 36 C. 72 D. 130 Answer :C

Discussion

2645.	The sum of all the 3 digit numbers is
Answer» 98901 494550 8991 899 Answer :B

Discussion

2646.	Find the average of first 199 consecutive natural numbers
Answer» 100 200 199 100 Answer :A

Discussion

2647.	If the length of shadow of a vertical pole on the horizontal ground is sqrt3 times of its height, then the angles of elevation of sun is :
Answer» `15^@` `30^@` `45^@` `60^@` ANSWER :B

Discussion

2648.	If (1xx 2 xx 3 xx 4xx .... xx n!) = n, then (14! - 13! - 12!) is equal to
Answer» `14xx12 XX (12!)` `14 xx 12 xx (13!)` `14 xx 13 xx (13!)` `13xx12 xx (12!)` ANSWER :A

Discussion

2649.	Findno ofzeros in 100 !
Answer» 24 25 28 30 Answer :a

Discussion

2650.	There are 5 different boxes and 7 different balls. All the balls are to be distributed in the 5 boxes placd in a row so that any box can receive any number of balls. Suppose all the balls are identical, then in how many ways can all these balls be distributed into these boxes?
Answer» A) 110 B) 220 C) 330 D) 440 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

A circle is the circumcircle for the triangle DEF and the incircle for the triangle ABC. If the angles of triangle DEF are 76^@, 56^@ and 48^@, find the values of internal angles of triangleABC.

If the compound interest on a certain sum for 2 years at the rate of 10% is Rs. 105 and simple interest is Rs. 100, then the sum is

Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates so that no box remains empty ?

Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 identical crates ?

An urn contains 4 white 6 black and 8 red balls. If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates ?

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :

In how many ways can 12 identical bouquets be kept in 3 distinct crates so that each box has the same number of bouquets ?

Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates so that at least 2 bouquets must be there in each bouquet ?

Answer the following questions independently of each other In how many ways can 12 identical bouquets be kept in 3 distinct crates so that the smallest box has at least 2 bouquets, the largest box has at least 4 bouquets and the third one has at least 3 bouquets ?

If nine squares are chosen at random on a chess board, find the probability that they form a square of size 3xx3.

A divisor is 25 times the quotient and 5 times the remainder. The quotient is 16, the dividend is

What will be factors of (a^(2)-b^(2))^(3) + (b^(2) -c^(2))^(3) + (c^(2) - a^(2))^(3)

There are 5 different boxes and 7 different balls. All the balls are to be distributed in the 5 boxes placd in a row so that any box can receive any number of balls. In how many ways can these balls be distributed such that no box is empty and ball 2 and ball 4 cannot be put in the same box?

4.999 +1.999 xx 6.001 = ?

A number of friends decided to go on a picnic and planned to spend Rs 108 on eatables. Three of them however did not turn up. As a consequence each one of the remaining had to contribute Rs 3 extra. The number of them who attended the picnic was :

Every artist of Rangmanch theatre adorns oneself with a two piece attire - dhoti and kurta. If N is the number of combinations of dhoti and kurta that any actor of Rangmanch can wear and N

Total numbers of factors of a greatest possible number which when divides 1313 and 621, the respective remainders obtained are 17 and 9 :

By selling an object for Rs 900, a man earns a profit that is double the loss incurred when the object is sold for Rs 450. If he sells it at a profit of 20%, find the selling price of this object.

The difference between compound interest (compounded annually) and simple interest on a sum of Rs. 1000 at a certain rate of interest for 2 years is Rs. 10. The rate of interest per annum is:

What is the perimeter of a semi-circle? I. The radius of the semi-circle is equal to half the side of a square. II. The area of the square is 196 sq cm

A hollow cylindrical tube open at both end is made of iron 2 cm thick. If the external diameter be 50 cm and the length of the tube is 210 cm, find the number of cubic cm of iron in it.

The two adjacent sides of parallelogram are 25 cm and 40 cm respectively . The altitude drawn on the longerside is 18 cm, then the areaof the parallelogram is :

Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank?

A sum of money is distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets rs.2000 more than D, what is B's share?

A,B, C and D purchased a cine-multiplex for ₹56 lakhs. The contribution of B,C and D together is 460% that of A,alone . The contribution of A,C and D together is 366.66% that of B's contribution and the contribution of C is 40% that of A,B and D together. The amount contributed by D is

A page contains 60 lines. A chapter contains 125 pages. A book contains 5 chapters. 20 such books form a bound. If there are 30 lakhs lines in an x number of bounds then the value of x is :

There are two trains runing on two parallel tracks length of each train I s 120 m when they are runing in opposite directions they cross each other in 4 seconds and when they are runing in the same direction they cross in 12 seconds.What is the speed of the faster train?

The price of an article of rs100 is icreased by 20% the again its price increased by 10%. How much is price increased in total price?

The true discount at a bill of ? 3720 due 8 months hence is X 120. Find the banker's gain.

A room is half as long as it is broad. The cost of carpeting the room at Rs 3.25 sq.mis Rs 175.50 and the cost of preparing the walls at Rs1.40 per sq.m is Rs240.80. If 1 door and 2 windows occupy 8sq.m , then find the dimensions of the room ?

Rahul is twice efficient as Ram. If both of them can complete the work in 12 days. Then find the number of days Rahul would take to complete the work above.

The difference between C.I. and S.I. at a certain rate on rs. 2000 at the end of 2years is rs.12.8. The rate of inerest is:

In the given figure, AB = BC and angleBAC = 15^(@), AB=10cm. Find the area of DeltaABC:

LCM of the polynomials P and Q, where P=(x-2)(x+1)^(2)(x+3)^(2) Q=(x+1)^(2)(x+3)(x+4) is given by :

If p^r . P^(-1) . P^s = (sqrt(p^3))^(2) and p^(3//2).p^r = p^s.p^(-1//2) then the value of (r + s)^((r + s)) is :

A person bought some caps at rate of 60 for Rs 93 and sold them at the rate of 50 for Rs 93.Find the profit or loss %.

Ram spends 70% of his salary and deposits 15 % of his salary in the bank. If he is left with Rs. 1500, what is his monthly salary?

A person has 3 shirts 4 coats and 6 ties. In how many ways can he wear them?

The sum of all the 3 digit numbers is

Find the average of first 199 consecutive natural numbers

If the length of shadow of a vertical pole on the horizontal ground is sqrt3 times of its height, then the angles of elevation of sun is :

If (1xx 2 xx 3 xx 4xx .... xx n!) = n, then (14! - 13! - 12!) is equal to

Findno ofzeros in 100 !

There are 5 different boxes and 7 different balls. All the balls are to be distributed in the 5 boxes placd in a row so that any box can receive any number of balls. Suppose all the balls are identical, then in how many ways can all these balls be distributed into these boxes?