8677 + Interview Questions in Maths in Class 14 Page 60 InterviewSolution

2951.	The number of ways in which the letters of the word SUMPTUOS can be arranged so that the two U's do not come together is:
Answer» a. 5040 B. 7560 C. 38920 d. NONE of (a),(b),(C ) ANSWER :B

Discussion

2952.	If cosecA=2, then (1)/(tanA)+(sinA)/(1+cosA)=?
Answer» 2 3 1 4 Answer :A

Discussion

2953.	The maximum value of the expression 27-abs(9x-8) is :
Answer» 27 17 44 26 Solution :The maximum VALUE of the expression `27-abs(9x-8)` will be maximum only when the value of abs(9x-8) is minimum, but the minimum possible value of any `ABSK` is ZERO. Hence the maximum value of `27-abs(px-8) = 27 - (0) = 27`

Discussion

2954.	A can do (1)/(4)part of a work in 21 days and B can do (1)/(4)part of a work in 7 days. In how many days will A and B complete the total work ?
Answer» ANSWER :21 DAYS

Discussion

2955.	Let n be a positive integer. If 1/n has a terminating decimal expansion, then which one of the following is true?
Answer» N is of the form `5^x`, when x is a positive INTEGER . n is of the form `2^y` , where y is non - positive integer. n is of the form `2^x . 5^y` for some non - negative INTEGERS x and y. n is of the form `10^z` for some positive integer z . ANSWER :C

Discussion

2956.	Solve the following : 2^(2^x) = 16^(2^(3x)) , then x is equal to
Answer» -1 0 1 none of these ANSWER :A

Discussion

2957.	A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late? What is the speed of the train?
Answer» 100 km/h 120 km/h 60 km/h 50 km/h Answer :C

Discussion

2958.	What day of the week was it on 5th november 1987 if tas Monday on 4th april 1988
Answer» ANSWER :REQUIRED DAY is THURSDAY

Discussion

2959.	Sarita invested Rs. 6250 at the rate 4% per annum for one year. If the interest is compounded halfyearly, then the amount received by Sarita at the end of the year will be:
Answer» (a)5000 (B)5250 (C)5002.5 (d)10000 Answer :RS. 6502.50

Discussion

2960.	If tan(A+B)=(1)/(2),tan(A-B)=(1)/(3),then find the value of tan2A.
Answer» 5 7 1 3 Answer :C

Discussion

2961.	A, B and C three weavers have to supply an order of 100 shawls. A can weave a shawl in 2 hours, B in 3 hours and C in 4 hours respectively. It is known that even being a joint contract each one weaves his own shawl completely i.e no other weaver help to the rest weavers. In how many hours they will complete the order irrespective of day or night?
Answer» 93hours 100 HOURS `92 4/12` 94 hours Answer :A

Discussion

2962.	x is a five digit number. The digit in ten thousands place is 1. The number formed by its digits in units and tens places is divisible by 4. The sum of all the digits is divisible by 3. If 5 and 7 also divide x, then x will be :
Answer» 14020 12060 10020 10080 Answer :D

Discussion

2963.	Mutiply 125 by 125.
Answer» SOLUTION :Step 1: `5 xx 5 = 25 Step 2:`12 xx (12 + 1) = 156` `125 xx 125 = 15625`

Discussion

2964.	If the length of a rectangular field is doubled and its breadth is halved (i.e, reduced by 50% ) . What is percentage change in its area ?
Answer» `0%` `10%` `25%` `33.33%` ANSWER :A

Discussion

2965.	Half life of a substance is defined as the time period in which a substance becomes just half of it. If it is known that the half life of a substance "DECAY" is 1122 years, then after 4488 years , 80 gm of "DECAY" becomes:
Answer» 4 gm 20 gm 5 gm none of these Answer :C

Discussion

2966.	LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:
Answer» 5 25 45 225 Answer :C

Discussion

2967.	Consider the following statements. I. To obtain prime number less than 121, we are to reject all the multiples of 2,3,5 and 7. If Every composite number less than 121 is divisible by a prime number less than 11. Which of the statements given above is /are correct?
Answer» Only I Only II Both I and II Neither I nor II Answer :C

Discussion

2968.	X invested an amount of Rs. 12000 at the simple interest rate of 10% per annum and another amount at the simple interest rate of 20% per annum. The total interest earned at the end of one year on the total amount invested became 14% per annum. Find the total amount invested invested at 20%.
Answer» ANSWER :RS. 8000

Discussion

2969.	A watersupply tank as shown below with given dimensions is used in a house . 5 membersuse full tank for five days. If three members used the tank full , how long the tank works for proper supply ?
Answer» 10.5 DAYS 12.5 days 15.5 days 8.33 days ANSWER :B

Discussion

2970.	Arun and Barun run with the speeds of 30 m/s and 20 m/s around a circular track of 600 m. They participate in a 3000 m race. What is the distance covered by Arun when he passes Barun for the 5th time?
Answer» 2200 m 2250 m 2850 m none of the above Answer :D

Discussion

2971.	Express each of the following as a rational expression. ((x+3))/((x-2))-((x+1))/((x-3)) :
Answer» `(x-7)/(x^2+5x-6)` `(7-x)/(x^2-5x+6)` `(x-7)/(2x^2-5x+6)` `(x-7)/(x^2-5x+6)` ANSWER :D

Discussion

2972.	The largest bond angle in
Answer» `63^@` `58^@` `70^@` `42^@` ANSWER :B

Discussion

2973.	If costheta=4/5 and 0ltthetalt90^@, then the value of (3costheta+2cosectheta)/(4sintheta-cottheta) is:
Answer» `-43/2` `-41/2` `43/8` `-43/6` ANSWER :C

Discussion

2974.	How many total rectangles are there in a standard chess board (or check board)?
Answer» 1296 512 0 2025 Answer :A

Discussion

2975.	twofaircoinsaretossed simultaneously . Findthe probabilityof getting atleast onehead .
Answer» `1/4` `3/4` `1/2` `3/8` ANSWER :B

Discussion

2976.	In the above question if Pravesh served every guest who were sitting on the chair number 3,6,9,12,15….etc. with chapatis and to those who were , sitting on the chair number 5,10, 15,20,..etc. with poori and to the rest with Idli. The number of guests who has not recevied the Idli is :
Answer» 38 47 41 none of these Answer :B

Discussion

2977.	A sum of Rs. 5000 amounts to Rs. 6050 after 2 years at compound interest, if interest is compounded annually. What is the rate of interest per annum?
Answer» A) 26,250 B) 19,200 C) 18,650, D) 15,200 Answer :`10%`

Discussion

2978.	ICICI lent ₹ 1 lakh to captain Ram Singh @ 6% per annum of simple interest for 10 years period. Meanwhile ICICI offered a discount in rate of interest for armed forces. Thus the rate of interest ICICI decreased to 4%. In this way Ram Singh had to pay total amount 1.48 lakh. After how many year Ram Singh got the discount in rate of interest?
Answer» 3 YEARS 4 years 6 years 5 years ANSWER :B

Discussion

2979.	For any integer n, what is HCF (22ra + 7, 33re + 10) equal to?
Answer» 0 1 11 None of these Answer :B

Discussion

2980.	A man bought 18 oranges for a rupee and sold them at 12 oranges for a rupee. What is the profit percentage?
Answer» `33.33%` `50%` `66.66%` NONE of these Answer :B

Discussion

2981.	Study the following graph carefully and answer the questions that follow What was the average per cent rise in profit of companyL over all the years together ?
Answer» NONE of the above `15 1/3` `18 5/6` `21 5/6`s Answer :A

Discussion

2982.	Find CP when SP= rs. 51.70 and loss= 12%?
Answer» a. rs.58.75 B. rs.62.25 c. rs.65 d. rs.69.27 Answer :B

Discussion

2983.	A can do a piece of work in 10 days. B can do it in 24 days. If C also works with them then it takes only 6 days to complete the whole work. In how many days C alone can complete the whole work?
Answer» 25 40 50 75 Answer :B

Discussion

2984.	A man and a boy working together can complete a work in 24 days. If for the last 6 days, the man alone does the work, then it is completed in 26 days. How long will the boy take to complete the work alone ?
Answer» 72 DAYS 73 days 49 days 62 days Answer :A

Discussion

2985.	In the given figure, PAQ is the tangent. BC is the diameter of the circle. angleBAQ = 60^(@), find angleABC :
Answer» `25^(@)` `30^(@)` `45^(@)` `60^(@)` ANSWER :B

Discussion

2986.	If the banker's discount and banker's gain on a certain bill, are RS 196 and RS 28, respectively. Find the amount of bill.
Answer» X 1200 X 1376 X 1176 X 1400 Answer :C

Discussion

2987.	There are five students - P, Q, R, S and T having different heights in a class. P's height is more than only one student. Q's height is more than S and P but not more than R. S's height is more than P. R is not the smallest. Who is having the maximum height in the class?
Answer» 97 `2^97` `2^100 - 202` `2^100 - 2^98 - 2` ANSWER :C

Discussion

2988.	For all x in(0,1) :
Answer» `e^xlt1+x` `log_e(1+x)LTX` `sinxgtx` `log_exgtx` ANSWER :B

Discussion

2989.	Find the present worth of Rs. 9261 due 3 years hence at 5% per annum compounded yearly.
Answer» ANSWER :RS. 8000

Discussion

2990.	Three vessels whose capacities are as 5 : 3 : 2 are completely filled with milk mixed with water. Theratio of milk to water in the mixture of vessels are as3 : 2, 2 : 1 and 3 : 1 respectively. Find the percentage of water in the new mixture obtained when 1/3 rd of first, 1/2 of second and 2/3rd of the third vessel is taken out and mixed together.
Answer» ANSWER :`33 1/3 `%

Discussion

2991.	Which one of the following will completely divide5^(71) + 5^(72) + 5^(73)?
Answer» 150 160 155 30 Answer :C

Discussion

2992.	If x=sqrt(6+sqrt(6+sqrt(6......))), then
Answer» 3 2 15 `x-y+1=0` ANSWER :C

Discussion

2993.	In the given figure, find the value of BD.
Answer» 13.5 CM 11 cm 3.5 cm 9.5 cm ANSWER :A

Discussion

2994.	What is S.I. of rs. 800 on 5% per annum for 3 years?
Answer» a. 120 B. 140 c. 210 d. 230 Answer :B

Discussion

2995.	If log_(2)(5.2^(x)+1),log_(4)(2^(1-x)+1) and 1 are in A.P,then x equals
Answer» `log_2 5` `1-log_5 2` `log_5 2` none Answer :B

Discussion

2996.	Out of Rs. 50,000, that a man has, he lends Rs. 8000 at 5""(1)/(2)% per annum simple interest and Rs. 24,000 at 6 % per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 3680. The rate of interest per annum, at which the remaining money is lent, is
Answer» ANSWER :0.1

Discussion

2997.	A publisher printed 2000 copies of a book at a cost of Rs 70,000. He distributes 400 copies free as specimen copies. He gave 30% discount on marked price of each book which is 75. What is his gain or los percentage ?
Answer» ANSWER :20% PROFIT

Discussion

2998.	If the sumof two numbers is 36 and their H.C.F. and L.C.M. are 3 and 105 respectively,the sum of the reciprocals of the two numbers is2/(35)(b) 3/(35)(c) 4/(35)(d) None ofthese
Answer» `2/25` `2/25` `4/35` `2/25` ANSWER :C

Discussion

2999.	3sqrt(4096)div3sqrt(64)=3sqrt(?)
Answer» 16 8 64 `SQRT(4)` SOLUTION :`3sqrt(?)=3sqrt(4096)div 3sqrt(64)` `=3sqrt(16xx16xx16)div 3sqrt(4xx4xx4)` `=16div4=4` `:. ?=4xx4xx4=64`

Discussion

3000.	A survey of film watching habits of people living in five cities P, Q, R, S and T is summarised below in a table. The column I in five table gives percentage of film-watchers in each city who see only one film a week. The column II gives the total number of film-watchers who see two or more films per week. How many film-watchers in city R see only one film in a week ?
Answer» 900 1500 1600 3200 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

The number of ways in which the letters of the word SUMPTUOS can be arranged so that the two U's do not come together is:

If cosecA=2, then (1)/(tanA)+(sinA)/(1+cosA)=?

The maximum value of the expression 27-abs(9x-8) is :

A can do (1)/(4)part of a work in 21 days and B can do (1)/(4)part of a work in 7 days. In how many days will A and B complete the total work ?

Let n be a positive integer. If 1/n has a terminating decimal expansion, then which one of the following is true?

Solve the following : 2^(2^x) = 16^(2^(3x)) , then x is equal to

A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hours late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late? What is the speed of the train?

What day of the week was it on 5th november 1987 if tas Monday on 4th april 1988

Sarita invested Rs. 6250 at the rate 4% per annum for one year. If the interest is compounded halfyearly, then the amount received by Sarita at the end of the year will be:

If tan(A+B)=(1)/(2),tan(A-B)=(1)/(3),then find the value of tan2A.

x is a five digit number. The digit in ten thousands place is 1. The number formed by its digits in units and tens places is divisible by 4. The sum of all the digits is divisible by 3. If 5 and 7 also divide x, then x will be :

Mutiply 125 by 125.

If the length of a rectangular field is doubled and its breadth is halved (i.e, reduced by 50% ) . What is percentage change in its area ?

Half life of a substance is defined as the time period in which a substance becomes just half of it. If it is known that the half life of a substance "DECAY" is 1122 years, then after 4488 years , 80 gm of "DECAY" becomes:

LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:

Consider the following statements. I. To obtain prime number less than 121, we are to reject all the multiples of 2,3,5 and 7. If Every composite number less than 121 is divisible by a prime number less than 11. Which of the statements given above is /are correct?

X invested an amount of Rs. 12000 at the simple interest rate of 10% per annum and another amount at the simple interest rate of 20% per annum. The total interest earned at the end of one year on the total amount invested became 14% per annum. Find the total amount invested invested at 20%.

A watersupply tank as shown below with given dimensions is used in a house . 5 membersuse full tank for five days. If three members used the tank full , how long the tank works for proper supply ?

Arun and Barun run with the speeds of 30 m/s and 20 m/s around a circular track of 600 m. They participate in a 3000 m race. What is the distance covered by Arun when he passes Barun for the 5th time?

Express each of the following as a rational expression. ((x+3))/((x-2))-((x+1))/((x-3)) :

The largest bond angle in

If costheta=4/5 and 0ltthetalt90^@, then the value of (3costheta+2cosectheta)/(4sintheta-cottheta) is:

How many total rectangles are there in a standard chess board (or check board)?

twofaircoinsaretossed simultaneously . Findthe probabilityof getting atleast onehead .

In the above question if Pravesh served every guest who were sitting on the chair number 3,6,9,12,15….etc. with chapatis and to those who were , sitting on the chair number 5,10, 15,20,..etc. with poori and to the rest with Idli. The number of guests who has not recevied the Idli is :

A sum of Rs. 5000 amounts to Rs. 6050 after 2 years at compound interest, if interest is compounded annually. What is the rate of interest per annum?

For any integer n, what is HCF (22ra + 7, 33re + 10) equal to?

A man bought 18 oranges for a rupee and sold them at 12 oranges for a rupee. What is the profit percentage?

Study the following graph carefully and answer the questions that follow What was the average per cent rise in profit of companyL over all the years together ?

Find CP when SP= rs. 51.70 and loss= 12%?

A can do a piece of work in 10 days. B can do it in 24 days. If C also works with them then it takes only 6 days to complete the whole work. In how many days C alone can complete the whole work?

A man and a boy working together can complete a work in 24 days. If for the last 6 days, the man alone does the work, then it is completed in 26 days. How long will the boy take to complete the work alone ?

In the given figure, PAQ is the tangent. BC is the diameter of the circle. angleBAQ = 60^(@), find angleABC :

If the banker's discount and banker's gain on a certain bill, are RS 196 and RS 28, respectively. Find the amount of bill.

There are five students - P, Q, R, S and T having different heights in a class. P's height is more than only one student. Q's height is more than S and P but not more than R. S's height is more than P. R is not the smallest. Who is having the maximum height in the class?

For all x in(0,1) :

Find the present worth of Rs. 9261 due 3 years hence at 5% per annum compounded yearly.

Which one of the following will completely divide5^(71) + 5^(72) + 5^(73)?

If x=sqrt(6+sqrt(6+sqrt(6......))), then

In the given figure, find the value of BD.

What is S.I. of rs. 800 on 5% per annum for 3 years?

If log_(2)(5.2^(x)+1),log_(4)(2^(1-x)+1) and 1 are in A.P,then x equals

A publisher printed 2000 copies of a book at a cost of Rs 70,000. He distributes 400 copies free as specimen copies. He gave 30% discount on marked price of each book which is 75. What is his gain or los percentage ?

If the sumof two numbers is 36 and their H.C.F. and L.C.M. are 3 and 105 respectively,the sum of the reciprocals of the two numbers is2/(35)(b) 3/(35)(c) 4/(35)(d) None ofthese

3sqrt(4096)div3sqrt(64)=3sqrt(?)