8677 + Interview Questions in Maths in Class 14 Page 159 InterviewSolution

7901.	Express (1)/((1-x))+(1)/((1+x))+(2)/((1+x^(2)))+(4)/((1+x^(4))) as a rational expression :
Answer» 1 `(1-x^(4))/(1+x^(4))` `(8)/(1-x^(8))` NONE of these Answer :C

Discussion

7902.	A couple got married 9 years ago when the age of wife was 20% less than her husband. 6 years from now the age of wife will be only 12.5% less than her husband. Now they have six children including single, twins and triplets and the ratio of their ages is 2: 3: 4 respectively. What can be the maximum possible value for the present age of this family?
Answer» 110 years 103 years 105 years 83 years Answer :B

Discussion

7903.	If a,b,c are distinct positive real numbers, then
Answer» LESS than 4 less than 4abc greater than 8abc greater than `(ABC)^3` ANSWER :C

Discussion

7904.	If p be a prime, p > 3 and let x be the product of positive integers 1,2,3….., (p - 1) , then consider the following statements: 1. x is a composite number divisible by p. 2. x is a composite number not divisible by p, but some prime greater than p may divide x. 3. x is not divisible by any prime (p - 2). 4. All primes less than (p -1) divide x. Of these statements :
Answer» 1 and 2 are correct 2 and 3 are correct 3 and 4 are correct 4 alone is correct Answer :D

Discussion

7905.	What number must be subtracted from each of the numbers 53, 21, 41, 17 so that the remainders are in proportion?
Answer» 1 3 5 none of these Answer :C

Discussion

7906.	An examination paper consists of 12 questions divided into two parts, part A and part 8. Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions, selecting atleast 3 from each part. In how many ways can he select the questions?
Answer» 240 60 420 480 Answer :C

Discussion

7907.	A sphere of 17 cm radius is cut by two parallel planes which are 7 cm apart but on the same side of the centre of the sphere. The radius of one of the ends of the zone (or frustum) is 8 cm. What is the volume of the larger spherical cap of the two?
Answer» `(15650)/6 pi` `(14400)/3 pi` `(16250)/3 pi` NONE of these Answer :C

Discussion

7908.	A sphere of 17 cm radius is cut by two parallel planes which are 7 cm apart but on the same side of the centre of the sphere. The radius of one of the ends of the zone (or frustum) is 8 cm. What is the volume of the zone?
Answer» `786pi` `(3206)/3 PI` `1786pi` `(4096)/3 pi` ANSWER :B

Discussion

7909.	A sphere of 17 cm radius is cut by two parallel planes which are 7 cm apart but on the same side of the centre of the sphere. The radius of one of the ends of the zone (or frustum) is 8 cm. What is the total surface area of the smaller spherical cap of the two?
Answer» `72pi` `81pi` `68pi` NONE of these Answer :A

Discussion

7910.	In what time will a sum of money double itself @ 20% per annum (p.a) simple interest ?
Answer» 10 years 5 years 2 years 4 years Answer :B

Discussion

7911.	If a number of two digit is 'k' times the sum of its digits then the number formed by interchanging the digits is the sum of the digits muliplied by :
Answer» `(9 + K)` `(10 - k)` `(11 - k)` `(k - 1)` ANSWER :C

Discussion

7912.	Consider the following statements I. Let ABCD be a parallelogram which is not a rectangle. Then,2(AB^2 +BC^2)** AC^2 + BD^2 II.If ABCD is a rhombus with AB = 4cm, then AC + BD = n for some positive integer n. Which of the above statements is/are correct?
Answer» a. Only I B. Only II C. Both I and II d. NEITHER I nor II Answer :B

Discussion

7913.	A rectangular garden 63 m long and 54 m broad has a path 3m wide insideit . Find the cost of paving the path ar Rs. 37/2 per square metre :
Answer» `₹12321` `₹11100` `₹74000` NONE of these Answer :A

Discussion

7914.	If x^(40)+3 is dividied by x^(4)+1, find the remainder
Answer» ANSWER :4

Discussion

7915.	Calculate the difference in the original time taken as given above in condition to meet train A and B and the time taken by train B to catch train A if the train A had started in same direction as that of B . Train B had started in same direction started 2 hrs after train A while going insame direction .
Answer» 45 hrs 40 min. 24 hrs 20 min. 55 hrs . 30 min. 49 hrs . 45 min. Solution : In `(1)/(2)` H train A will cover = 27 km Distance between P and Q `= (480 + 40 + 27)` km = 27 + 520 = 547 km Total time taken in given condition `= ((1)/(2) + (13)/(3)) h = (29)/(6) h` New time taken according to condition `(547 + 2 XX 54)/((66-54))` `= (655)/(12) h` Required difference in time = `(655)/(12) - (29)/(6) = (597)/(12)` = 49 HOUR 45 min.

Discussion

7916.	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 an element less than 50 belongs to Set A is transferred to Set B,then the average of Set B :
Answer» increases decreases remains constant can't be determind Answer :B

Discussion

7917.	The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife and a child who was born during the interval, is 20 years now. How old is the child now?
Answer» 98280 2898 7325 none of these Answer :A

Discussion

7918.	If a^(2) + b^(2) +c^(2)=2 (a-b +c)-3 then find a-b + c= ?
Answer» ANSWER :3

Discussion

7919.	If I sell a horse for Rs 6200 and a cow for Rs 2600 i will earn 10% profit. If I sell a horse for Rs 6000 and a cow at its C.P. and earn 12(1)/(2)%profit. Find C.P. of each?
Answer» ANSWER :300 RS 500 Rs

Discussion

7920.	In the given figure, ABCD is a rhombos and BCE is an isosceles triangle, with BC = CE, angleCBE = 84^@ and angleADC = 78^@. What is the value (in degree) of angleDEC ?
Answer» 1) 20 2) 28 3) 33 4) 36 Answer :C

Discussion

7921.	The price of a book varies directly as the no. of pages in it and inversely as the time periods in years that have elapsed since the date of purchasing. Two books cost the same, however, the no. of pages in the first book is triple of the second book. If the first book is sold on 18 years ago, how long ago was the second book sold?
Answer» 54 years 9 years 6 years 3 years Answer :C

Discussion

7922.	What amount will be received on a sum of15000 in 5/4 year at 12% pa, if interest is compounded quarterly ?
Answer» 16596.88 16789.08 17630.77 17389.12 Answer :D

Discussion

7923.	The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?
Answer» `10 lt X lt 42` `10 lt x lt 40` `8 lt x lt 40` ` 12 lt x lt 40` Answer :A

Discussion

7924.	Find the value of afor which the sum of the squares of the roots of the equation x^2-(a-2)x-a-1=0assumes the least value.
Answer» -1 1 0 2 Answer :B

Discussion

7925.	Mr. Daruwala has 18 acquaintances of whom 13 are relatives. In how many ways he may invite 10 guests so that 8 of whom are relatives ?
Answer» 12870 22022 20222 12780 Answer :A

Discussion

7926.	The total number of factors of a number is 24 and the product of the prime factors of the same number is 30. The square root of the ratio of such a smallest and the greatest possible numbers is:
Answer» 44322 44356 44464 44311 Answer :D

Discussion

7927.	If each side of a regular dodecagon is 1 cm, find the circumradius of the dodecagon.
Answer» `SQRT(2+sqrt3) CM` `3SQRT3 cm` `1+2sqrt3 cm` NONE of these Answer :A

Discussion

7928.	What is the sum of the following series ?1/(1 xx 2) + 1/(2 xx 3) + 1/(3 xx 4) + ………+ 1/(100 xx 101)
Answer» `1/100` `100/101` `1/101` `101/100` ANSWER :A

Discussion

7929.	A man is 40% more efficient than a woman, and a child is 40% less efficient then a woman. 3 men, 5 women, and 4 children work for 7 days to complete a job. How many days will 2 men, 7 women and 3 children take to complete the same job?
Answer» 4.5 days` 5.5 days 6.5 days 7 days Solution :Let us suppoes Women give 10 units a day Therefore, a mam gives `1.4xx 10 + 14`units a day Similarly, a child gives `0.6xx 10 = 6` units a day Total job (units) `= (7 days xx per day contribution)` `=7xx (3xx14+5 xx 10 +4 xx 6)=812` units New combination `= 2 M + 7 W + 3 C` Contribution per day `= 2XX 14 + 7 xx 10 + 3 xx 6 = 116` units Days required to COMPLETE the job `=812/116 = 7 ` days

Discussion

7930.	Aboat covers 24 kmupstreamand 36kmdownstream in 6hourswhileit covers36 kmupstream and 24km down -stream in 6(1)/(2)hours .The speedof the currentis
Answer» SOLUTION :N/A

Discussion

7931.	(17^(23)+29^(23))/(23)find Remainder.
Answer» ANSWER :`=0`

Discussion

7932.	An ant has to go from one corner to the farthest corner of a canister of size 6xx6xx12. What's the minimum diatance it has to cover, (All the lengths are in cm)?
Answer» `6(sqrt2+2)` `6sqrt6` `12sqrt2` `13(sqrt2+1)` ANSWER :C

Discussion

7933.	The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is:
Answer» a) 4 b) 3 c) 2 d) 1 Answer :`(1)/(2)`

Discussion

7934.	If A's income is 12 % more than B's income, B's income is how much less than A's income?
Answer» 12.7% 11.7 % 10.7% 9.7% ANSWER :D

Discussion

7935.	Product of divisors of 7056 is :
Answer» `(84)^48` `(84)^44` `(84)^45` none of these Solution :`therefore 7056 = 2^4xx3^2xx7^2` `therefore` Number of FACTORS/divisors of 7056 = (4+1)(2+1)(2+1) = 45 `therefore` Product of factors = `(7056)^(45/2) = (80)^45`

Discussion

7936.	My friend Siddhartha Ghosh is working in the life insurance. Corporation of India (LIC). He was hired on the basis of commission and he got the bonus only on the first years commission. He got the policies of Rs. 2 lakh having maturity period of 10 years. His commission in the first second, third, fourth and for the rest of the years is 20%, 16%, 12%, 10% and 4% respectively. The bonus is 25% of the commission. If the annual premium is Rs. 20,000 then what is his total commission if the completion of the maturity of all the policies is mandatory :
Answer» RS. 174,00 Rs. 23,600 Rs. 15,000 Rs. 15,500 Answer :A

Discussion

7937.	If all s', ""_s come together, then in how many ways the letter of the word SUCCESSFUL be arranged?
Answer» 10080 40080 2378 none of these Answer :A

Discussion

7938.	If the percentage of Mathematics teachers isincreased by50%andpercentage ofHinditeachers isde- creased by 25%, then what will be the total number of Mathematics and Hindi teachers together?
Answer» 390 379 459 480 Answer :D

Discussion

7939.	If s_1 = (1), s_2 = (2) (3) s_(3) = (4), (5), (6) s_4 = (7), (8), (9), (10), s_5 = (11),(12),(13),(14),(15)….etc. Where s_1 , s_2, s_3….., etc arc the first, second adn third terms of the given given sequence. Then the sum of thenumbers in S_(50)
Answer» 7,0 6,9 9,6 none FO (a),(B)(C) ANSWER :B

Discussion

7940.	Study the following graph carefully and answer the questions given below What was the percentage drop in the number of C type tyres manufactured from 2007 to 2008?
Answer» 25% 10% 15% 2.5% ANSWER :B

Discussion

7941.	The ratio between the rates of walking of A and B is 2:3 if the time taken by B to cover a certain distance is 48 minutes the time taken(in minutes)by A to cover the distance is:
Answer» 52 min 68 min 72 min 32 min Answer :C

Discussion

7942.	A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. Find the time taken by his to ride both ways.
Answer» ANSWER :` 4 : 45 HRS`

Discussion

7943.	If the 9th and 19th terms of a G.P. are 12 and 18, what is the G.M. of the first 27 terms of this G.P.?
Answer» A)9 B)14 C)15 D)NONE of these Answer :D

Discussion

7944.	Twodiceare rolledsimultaneously . Find theprobability of gettinga doubletof evennumbers .
Answer» `5//8` `1//12` `3//4` `1//4` ANSWER :B

Discussion

7945.	Government has arrested 10 suspects who are believed to have more than the authorized number of gas connections (LPG). One of the arrested suspects Halwaai Babu has maximum number of 7 gas connections. Which of the following statements is true about these suspects?
Answer» EXACTLY two SUSPECTS have the same NUMBER of gas connections Exactly three suspects have the same number of gas connections At LEAST three suspects have the same number of gas connections At least two suspects have the same number of gas connections Answer :D

Discussion

7946.	Let a1,a2,a3 ...... a11 be real numbers satisfyinga_1 =15, 27-2a_2 > 0 and a_k= 2a_(k-1) - a_(k-2) for k=3,4,.....11 If(a1^2 +a2^2.......a11^2)/11 = 90 then find the value of (a_1+a_2....+a_11)/11
Answer» 0 `3sqrt(10)` 270 270/11 Answer :A

Discussion

7947.	(cosx)/(cosy)=n,(sinx)/(siny)=m, then (m^(2)-n^(2))sin^(2)y=?
Answer» `1-N^(2)` `1+n^(2)` `m^(2)` `n^(2)` ANSWER :B

Discussion

7948.	Whatis thetotal numberof waysof selecting atleastoneobjectfrom 2setsof 12 differentobjectseachset contains6 objects?
Answer» 4096 4095 2048 none of these Answer :B

Discussion

7949.	A manufacturer of a certain item can sell all he can produce at the selling price of Rs 60 each. It costs him Rs 40 in materials and labour to produce each item and he has overhead expenses of Rs 3000 per week in order to operate that plant. The number of units he should produce and sell in order to make a profit of at least Rs 1000 per week is
Answer» ANSWER :200

Discussion

7950.	What is 40% of 50% of 3/4th of 3200?
Answer» a. 480 B. 560 c. 420 d. 600 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Express (1)/((1-x))+(1)/((1+x))+(2)/((1+x^(2)))+(4)/((1+x^(4))) as a rational expression :

If a,b,c are distinct positive real numbers, then

What number must be subtracted from each of the numbers 53, 21, 41, 17 so that the remainders are in proportion?

An examination paper consists of 12 questions divided into two parts, part A and part 8. Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions, selecting atleast 3 from each part. In how many ways can he select the questions?

A sphere of 17 cm radius is cut by two parallel planes which are 7 cm apart but on the same side of the centre of the sphere. The radius of one of the ends of the zone (or frustum) is 8 cm. What is the volume of the larger spherical cap of the two?

A sphere of 17 cm radius is cut by two parallel planes which are 7 cm apart but on the same side of the centre of the sphere. The radius of one of the ends of the zone (or frustum) is 8 cm. What is the volume of the zone?

A sphere of 17 cm radius is cut by two parallel planes which are 7 cm apart but on the same side of the centre of the sphere. The radius of one of the ends of the zone (or frustum) is 8 cm. What is the total surface area of the smaller spherical cap of the two?

In what time will a sum of money double itself @ 20% per annum (p.a) simple interest ?

If a number of two digit is 'k' times the sum of its digits then the number formed by interchanging the digits is the sum of the digits muliplied by :

Consider the following statements I. Let ABCD be a parallelogram which is not a rectangle. Then,2(AB^2 +BC^2)** AC^2 + BD^2 II.If ABCD is a rhombus with AB = 4cm, then AC + BD = n for some positive integer n. Which of the above statements is/are correct?

A rectangular garden 63 m long and 54 m broad has a path 3m wide insideit . Find the cost of paving the path ar Rs. 37/2 per square metre :

If x^(40)+3 is dividied by x^(4)+1, find the remainder

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 an element less than 50 belongs to Set A is transferred to Set B,then the average of Set B :

The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife and a child who was born during the interval, is 20 years now. How old is the child now?

If a^(2) + b^(2) +c^(2)=2 (a-b +c)-3 then find a-b + c= ?

If I sell a horse for Rs 6200 and a cow for Rs 2600 i will earn 10% profit. If I sell a horse for Rs 6000 and a cow at its C.P. and earn 12(1)/(2)%profit. Find C.P. of each?

In the given figure, ABCD is a rhombos and BCE is an isosceles triangle, with BC = CE, angleCBE = 84^@ and angleADC = 78^@. What is the value (in degree) of angleDEC ?

What amount will be received on a sum of15000 in 5/4 year at 12% pa, if interest is compounded quarterly ?

The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?

Find the value of afor which the sum of the squares of the roots of the equation x^2-(a-2)x-a-1=0assumes the least value.

Mr. Daruwala has 18 acquaintances of whom 13 are relatives. In how many ways he may invite 10 guests so that 8 of whom are relatives ?

The total number of factors of a number is 24 and the product of the prime factors of the same number is 30. The square root of the ratio of such a smallest and the greatest possible numbers is:

If each side of a regular dodecagon is 1 cm, find the circumradius of the dodecagon.

What is the sum of the following series ?1/(1 xx 2) + 1/(2 xx 3) + 1/(3 xx 4) + ………+ 1/(100 xx 101)

A man is 40% more efficient than a woman, and a child is 40% less efficient then a woman. 3 men, 5 women, and 4 children work for 7 days to complete a job. How many days will 2 men, 7 women and 3 children take to complete the same job?

Aboat covers 24 kmupstreamand 36kmdownstream in 6hourswhileit covers36 kmupstream and 24km down -stream in 6(1)/(2)hours .The speedof the currentis

(17^(23)+29^(23))/(23)find Remainder.

An ant has to go from one corner to the farthest corner of a canister of size 6xx6xx12. What's the minimum diatance it has to cover, (All the lengths are in cm)?

The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is:

If A's income is 12 % more than B's income, B's income is how much less than A's income?

Product of divisors of 7056 is :

If all s', ""_s come together, then in how many ways the letter of the word SUCCESSFUL be arranged?

If the percentage of Mathematics teachers isincreased by50%andpercentage ofHinditeachers isde- creased by 25%, then what will be the total number of Mathematics and Hindi teachers together?

If s_1 = (1), s_2 = (2) (3) s_(3) = (4), (5), (6) s_4 = (7), (8), (9), (10), s_5 = (11),(12),(13),(14),(15)….etc. Where s_1 , s_2, s_3….., etc arc the first, second adn third terms of the given given sequence. Then the sum of thenumbers in S_(50)

Study the following graph carefully and answer the questions given below What was the percentage drop in the number of C type tyres manufactured from 2007 to 2008?

The ratio between the rates of walking of A and B is 2:3 if the time taken by B to cover a certain distance is 48 minutes the time taken(in minutes)by A to cover the distance is:

A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. Find the time taken by his to ride both ways.

If the 9th and 19th terms of a G.P. are 12 and 18, what is the G.M. of the first 27 terms of this G.P.?

Twodiceare rolledsimultaneously . Find theprobability of gettinga doubletof evennumbers .

Government has arrested 10 suspects who are believed to have more than the authorized number of gas connections (LPG). One of the arrested suspects Halwaai Babu has maximum number of 7 gas connections. Which of the following statements is true about these suspects?

Let a1,a2,a3 ...... a11 be real numbers satisfyinga_1 =15, 27-2a_2 > 0 and a_k= 2a_(k-1) - a_(k-2) for k=3,4,.....11 If(a1^2 +a2^2.......a11^2)/11 = 90 then find the value of (a_1+a_2....+a_11)/11

(cosx)/(cosy)=n,(sinx)/(siny)=m, then (m^(2)-n^(2))sin^(2)y=?

Whatis thetotal numberof waysof selecting atleastoneobjectfrom 2setsof 12 differentobjectseachset contains6 objects?

What is 40% of 50% of 3/4th of 3200?