8677 + Interview Questions in Maths in Class 14 Page 114 InterviewSolution

5651.	If m=7-4sqrt3,"then "(sqrtm+1/sqrtm)=?
Answer» 8 3 4 9 Answer :C

Discussion

5652.	If sqrt(5 + root(3)(x)) = 3, then the value of x is :
Answer» 9 27 64 343 Answer :C

Discussion

5653.	4 man can complete a piece of work in 2 days. 4 wonen can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed ?
Answer» 1 day 3 days 2 days 4 days Solution :`4XX 2` MEN= `4xx4` women `= 5xx4` chidren `rArr 2 ` men = 4 women = 5 children `THEREFORE` 2 men + 4 women + 10 children = 20 children `therefore M_(1)D_(1) =M_(2)D_(2)` `rArr5xx4=20xxD_(2) rArr D_(2)=1 day`

Discussion

5654.	A and B undertake to do a piece of work for rs. 600. A can do it in 10 days and B can do it in 15 days. With the help of C they finish the work in 4 days. How much C should be paid for his contribution.
Answer» a. 400rs b. 200rs c. 250rs d. none Answer :A

Discussion

5655.	A bag contains an equal number of 1 rupee, 50 paise and 25 paise coins respectively. If the total value is Rs. 35, how many coins of each type are there?
Answer» 20 COINS of each type 21 coins of each type 24 coins of each type 22 coins of each type Answer :A

Discussion

5656.	Answer the questions based on the following information, which gives data certain butter producer companies in India. What is the approximate total production capacity (in '000 tonnes) for butter in India ?
Answer» 7.8 18.9 11.6 Datainsufficient Answer :B

Discussion

5657.	Two packs of 52 playing crds are shuffled together . The number of ways in which a man can be dealt 26 cards so that does not get two cares of tehsame suit and same denomination. (A) ^52C_26 (B) ^52C_26.2 (C) ^52C_26.2^26 (D) none of these
Answer» `"^(52)C_(26) xx2^(26)` `(52!)/(2!)^(26)` `2^(26)` none of these Answer :A

Discussion

5658.	A can run 45 m while B runs 50 m. In a km race B beats A by how many metres?
Answer» 150 m 200 m 100 m 125 m Answer :C

Discussion

5659.	A new flag is to be designed with six vertical stripes using some or all of the colour yellow, green, blue and red. Then, the number of ways this can be made such that no two adjacent stripes have the same colour is
Answer» `12 xx 81` `16 xx 192` `20 xx 125` `24 xx 216` ANSWER :A

Discussion

5660.	If the sum of the interior angles of a regular polygon be 1080 degree, the number of sides of the polygon is:
Answer» a. 6 b. 8 c. 10 d.`15` ANSWER :A

Discussion

5661.	The probability that a leap year selected ar random contains either 53 sundays or 53 mondays, is
Answer» `17/53` `1/53` `3/7` NONE of these Answer :C

Discussion

5662.	Mr. Black has three kinds of wine, of the first kind 403 litres, of the second 434 litres of the third 465 litres what is the least number of full casks of equal size in which this can be stored without mixing?
Answer» 31 39 42 51 Answer :C

Discussion

5663.	If (sintheta+cosectheta)^(2)+(costheta+sectheta)^(2)=K+tan^(2)theta+cot^(2)theta, then K = ?
Answer» 6 3 0 7 Answer :D

Discussion

5664.	Ram Lal is a renowned packager of fruits in Varanasi. He packs 70 mangoes or 56 guavas every day working 7 hours per day. His wife also helps him. She packs 30 mangoes or 24 guavas working 6 hours per day. Ram Lal has to pack 3300 mangoes and 2400 guavas with the help of his wife. They work alternatively, each day 10 hours. His wife started packaging on the first day and works on every alternate days. Similarly Ram Lal started his work on second day and worked alternatively till the completion of the work. In how many days the work will be finished?
Answer» 85 DAYS `85 2/5` days 84 days none of these Answer :C

Discussion

5665.	Rs. 5000 amounts to Rs. 5700 in 1 year at simple interset. What will be Rs. 7000 in 2 years
Answer» ANSWER :RS. 8960

Discussion

5666.	Indian Democratic Alliance (IDA) is a coalition of three distinct regional parties. IDA decides to contest on 100 seats for the upcoming parliamentary elections.IDA wants to share these seats in such a way that no any ally gets the same number of seats of contest and no two allies contest for the same seat. Also each of the allies must get at least 1 seat to contest.Find the number of ways of allocating the number of seats for the three constituents of the IDA?
Answer» 4704 4851 4884 3667 Answer :A

Discussion

5667.	The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
Answer» SOLUTION :N/A

Discussion

5668.	ABCD is a quadrilateral in which diagonal BD = 64 cm. AL bot BD" and "CM botBD, such that AL=13.2cm" and "CM=16.8cm. The area of the quadrilateral ABCD is square centimeters is :
Answer» a) 422.4 b) 690.0 c) 537.6 d) 960.0 Answer :D

Discussion

5669.	Oniselling an article for ₹ 240, a trader loses 4%. In order to gain 10% he must sell that article for:
Answer» ₹ 275 ₹ 340 ₹ 320 ₹ 2664 Answer :A

Discussion

5670.	The value of 3/(5 root(4)(27)), when its denominator is a rational number:
Answer» `(ROOT(2)(3))/6` `(root(4)(3))/5` `(root(3)(4))/5` none of these Answer :B

Discussion

5671.	A train 350 m long is moving at the speed of 20 km/h it will cross a man coming from the opposite direction at the speed of 1 km/h in:
Answer» 27 s 35 s 45 s 60 s Answer :D

Discussion

5672.	Pratibha invests an amount of ₹ 15,860 in the names of her three daughters A, B and C in such a way that they-get the same interest after 2,3 and 4 years respectively. If the rate of simple interest is 5% p.a., then the ratio of the amounts invested among A,B and C will be :
Answer» `5:10:12` `1/10:1/15:1/20` `6:7:8` `6:5:4` ANSWER :B

Discussion

5673.	What was the per cent profit/loss earned incurred by selling an article for ? 24000? I. The ratio of the selling price to the cost price of the article is 5 : 3 II. The difference between the cost price and the selling price is ? .
Answer» ANSWER :A

Discussion

5674.	12 women can do a piece of work in 20 days. If the 4 women deny to work, then how many more days are required?
Answer» 6 10 15 none of these Answer :B

Discussion

5675.	Which of the following algebric expressions are polynomials? x^3-2x+x^(-2)
Answer» SOLUTION :`x^3-2x+x^(-2)` is not a POLYNOMIAL since `x^(-2)` has negative POWER of x.

Discussion

5676.	The present worth of a sum due sometime, hence is RS 576 and the banker's gain is RS 9. Find the true discount.
Answer» X8 X 70 X 95 X 72 Answer :D

Discussion

5677.	Each of the two horses is sold for Rs 720. The first one is sold at 25% profit and the other one at 25% loss. What is the % loss or gain in this deal?
Answer» ANSWER :`6.25%`

Discussion

5678.	A takes 4 days more to finish certain piece of work than that of B. If working together they can finish the work in 8(8)/(9) days. Then in how many days working alone each can finish the work?
Answer» ANSWER :`A to 16 ` DAYS, `B to 20` days

Discussion

5679.	What are the values of the digits a and b, respectively, in the number a 5523879 b, if it is divisible by both a and b :
Answer» (8, 6) (7, 2) (8, 1) not unique Answer :D

Discussion

5680.	A train A of length 180 m, running by 72 km/h to cross the another train B which is running in the opposite direction to speed of 108 km/h and length is 120 m, in how much time?
Answer» a. 23s b. 12s C. 6s d. 30s Answer :C

Discussion

5681.	Howmany wordscan beformedof theletters in thewordsRAINBOW , so thatthevowelsmayoccupyonlyevenpositions ?
Answer» 567 144 576 625 Answer :B

Discussion

5682.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which no two consonants are together ?
Answer» 441 420 360 144 Answer :D

Discussion

5683.	In howmanyways can thelettersof theword RAINBOWbe arrangedso thatonlytwovowelsalwaysremain together ?
Answer» 2880 1440 3200 1600 Answer :A

Discussion

5684.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in whichvowelsoccupy odd positions?
Answer» 676 625 343 576 Answer :D

Discussion

5685.	If theta lies in the second quadrant, then sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sin theta)/(1-sin theta)) is equal to :
Answer» `-2sectheta` `2sectheta` `2cosectheta` `2tantheta` ANSWER :B

Discussion

5686.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which vowels are never together?
Answer» 720 1440 360 3660 Answer :B

Discussion

5687.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which R and W are never together?
Answer» 3600 2400 1774 1440 Answer :A

Discussion

5688.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which vowels are always before the consonants?
Answer» (A) 72 (B) 144 (C) 96 (D) 124 Answer :B

Discussion

5689.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which A is always before I and I is always before O?
Answer» (A) 840 (B) 420 (C) 720 (D) 630 Answer :A

Discussion

5690.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which R and W are together?
Answer» 720 360 540 1440 Answer :D

Discussion

5691.	Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which first and last letters are vowels?
Answer» 360 720 1440 2880 Answer :B

Discussion

5692.	In the below word how many words are there in which R and W are at the end positions?RAINBOW
Answer» 120 180 210 240 Answer :D

Discussion

5693.	Answer these questions independently of each other In the different arrangements of the word RAINBOW how many words begin with R and each W?
Answer» 120 240 180 360 Answer :A

Discussion

5694.	Answer these questions independently of each other In the different arrangements of the word RAINBOW how many words begin with R?
Answer» 720 360 1440 480 Answer :A

Discussion

5695.	Find the number of ways of expressing 10 as a product of co-prime factors.
Answer» Solution :`10 = 2xx5` The REQUIRED NUMBR of ways = `2^(2-1) = 2` `(1xx10), (2xx5)` are two different ways in which 10 can be EXPRESSED as a PRODUCT of co-prime factors.

Discussion

5696.	what is the value of thirty percentof twenty five percent of 1320?
Answer» a.108 B.85 c.102 d.99 Answer :B

Discussion

5697.	(2^(100))/(101)find Remainder.
Answer» ANSWER :`=1`

Discussion

5698.	If sec theta - cosec theta = 0 , then the value of (sec theta + cosec theta) is :
Answer» `(SQRT3)/(2)` `(2)/(sqrt3)` 0 `2 SQRT2` ANSWER :D

Discussion

5699.	Two candidates fought an election. One got 65% of the votes and won by 600 votes. The total no. of votespolled is :
Answer» 12000 10000 2000 8000 Answer :C

Discussion

5700.	Abhinav and Brijesh start from Allahabad and Barabanki respectively with uniform velocities. Abhinav is headed towards Barabanki and Brijesh towards Allahabad and boi cities are 600 km apart. Abhinav rests whenever Brijesh is on the move and Brijesh rest whenever Abhinav is on the move Abhinav's speed is 25 km/h and Brijesh's speed is 30 km/h. If Abhinav starts first and reaches Barabanki in 36 hours, then find the least time that Brijesh would take to reach his destination after Abhinav makes a start :
Answer» 20 h 36 h 44 h none of these Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

If m=7-4sqrt3,"then "(sqrtm+1/sqrtm)=?

If sqrt(5 + root(3)(x)) = 3, then the value of x is :

4 man can complete a piece of work in 2 days. 4 wonen can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed ?

A and B undertake to do a piece of work for rs. 600. A can do it in 10 days and B can do it in 15 days. With the help of C they finish the work in 4 days. How much C should be paid for his contribution.

A bag contains an equal number of 1 rupee, 50 paise and 25 paise coins respectively. If the total value is Rs. 35, how many coins of each type are there?

Answer the questions based on the following information, which gives data certain butter producer companies in India. What is the approximate total production capacity (in '000 tonnes) for butter in India ?

Two packs of 52 playing crds are shuffled together . The number of ways in which a man can be dealt 26 cards so that does not get two cares of tehsame suit and same denomination. (A) ^52C_26 (B) ^52C_26.2 (C) ^52C_26.2^26 (D) none of these

A can run 45 m while B runs 50 m. In a km race B beats A by how many metres?

A new flag is to be designed with six vertical stripes using some or all of the colour yellow, green, blue and red. Then, the number of ways this can be made such that no two adjacent stripes have the same colour is

If the sum of the interior angles of a regular polygon be 1080 degree, the number of sides of the polygon is:

The probability that a leap year selected ar random contains either 53 sundays or 53 mondays, is

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

If (sintheta+cosectheta)^(2)+(costheta+sectheta)^(2)=K+tan^(2)theta+cot^(2)theta, then K = ?

Rs. 5000 amounts to Rs. 5700 in 1 year at simple interset. What will be Rs. 7000 in 2 years

ABCD is a quadrilateral in which diagonal BD = 64 cm. AL bot BD" and "CM botBD, such that AL=13.2cm" and "CM=16.8cm. The area of the quadrilateral ABCD is square centimeters is :

Oniselling an article for ₹ 240, a trader loses 4%. In order to gain 10% he must sell that article for:

The value of 3/(5 root(4)(27)), when its denominator is a rational number:

A train 350 m long is moving at the speed of 20 km/h it will cross a man coming from the opposite direction at the speed of 1 km/h in:

Pratibha invests an amount of ₹ 15,860 in the names of her three daughters A, B and C in such a way that they-get the same interest after 2,3 and 4 years respectively. If the rate of simple interest is 5% p.a., then the ratio of the amounts invested among A,B and C will be :

What was the per cent profit/loss earned incurred by selling an article for ? 24000? I. The ratio of the selling price to the cost price of the article is 5 : 3 II. The difference between the cost price and the selling price is ? .

12 women can do a piece of work in 20 days. If the 4 women deny to work, then how many more days are required?

Which of the following algebric expressions are polynomials? x^3-2x+x^(-2)

The present worth of a sum due sometime, hence is RS 576 and the banker's gain is RS 9. Find the true discount.

Each of the two horses is sold for Rs 720. The first one is sold at 25% profit and the other one at 25% loss. What is the % loss or gain in this deal?

A takes 4 days more to finish certain piece of work than that of B. If working together they can finish the work in 8(8)/(9) days. Then in how many days working alone each can finish the work?

What are the values of the digits a and b, respectively, in the number a 5523879 b, if it is divisible by both a and b :

A train A of length 180 m, running by 72 km/h to cross the another train B which is running in the opposite direction to speed of 108 km/h and length is 120 m, in how much time?

Howmany wordscan beformedof theletters in thewordsRAINBOW , so thatthevowelsmayoccupyonlyevenpositions ?

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which no two consonants are together ?

In howmanyways can thelettersof theword RAINBOWbe arrangedso thatonlytwovowelsalwaysremain together ?

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in whichvowelsoccupy odd positions?

If theta lies in the second quadrant, then sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sin theta)/(1-sin theta)) is equal to :

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which vowels are never together?

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which R and W are never together?

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which vowels are always before the consonants?

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which A is always before I and I is always before O?

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which R and W are together?

Answer these questions independently of each other In the different arrangements of the word RAINBOW, how many words are there in which first and last letters are vowels?

In the below word how many words are there in which R and W are at the end positions?RAINBOW

Answer these questions independently of each other In the different arrangements of the word RAINBOW how many words begin with R and each W?

Answer these questions independently of each other In the different arrangements of the word RAINBOW how many words begin with R?

Find the number of ways of expressing 10 as a product of co-prime factors.

what is the value of thirty percentof twenty five percent of 1320?

(2^(100))/(101)find Remainder.

If sec theta - cosec theta = 0 , then the value of (sec theta + cosec theta) is :

Two candidates fought an election. One got 65% of the votes and won by 600 votes. The total no. of votespolled is :