8677 + Interview Questions in Maths in Class 14 Page 20 InterviewSolution

951.	if log_(x)(4/9)=-1/2, then the value of x is:
Answer» `16/81` `-2/3` `81/16` NONE of these Answer :C

Discussion

952.	Find the value of sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costheta)).
Answer» `2sectheta` `SECTHETA` `2cosectheta` NONE of these Answer :C

Discussion

953.	6% more is gained by selling a coat for ₹ 1425 than by selling it for ₹ 1353. The cost price of the coat is:
Answer» ₹ 1000 ₹ 1250 ₹ 1500 ₹ 1200 Answer :D

Discussion

954.	In what time will Rs. 1000 amount to Rs. 1331 at 20% per annum, compounded half yearly?
Answer» ANSWER :`1(1)/(2)` YEARS

Discussion

955.	The ratio of water and alcohol i two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5 ?
Answer» 7:3 5:3 8:5 2:7 Answer :B

Discussion

956.	How many numbers can be formed using the digits 1, 2, 3, 4, 3, 2, 1 so that the odd digits always occupy the odd places?
Answer» 9 16 18 27 Answer :C

Discussion

957.	Let a/b = c/d, (where a and b are odd prime numbers) . If c > a and d > b , then
Answer» c is not a MULTIPLE of a d is not a multiple of B c = ka, d = kb with K gt 1 c = k a, b = lb with `k != l` Answer :C

Discussion

958.	A cat takes 7 steps for every 5 steps of a dog, but 5 steps of a dog are equal to 6 steps of cat.What is the ratio of speed of cat to that of dog?
Answer» `24:25`<BR>`42:25` `24:19` `25:42` Solution : But the length of5 steps of dog = length of 6 steps of CATS It means the ratio of length covered by dog is to cat = 6/5 Therefore, in each step a dog will cover 6/5 times distance than that of a cat. Thus the ratio of ACTUAL SPEED of cat is to dog < br> = 7 : 5 xx 6/5 = 7 : 6 Alternatevily Actual speed of A : B = (Given speed of A)/(no. of steps of A in terms of length ) (Given speed of B)/(no. of steps of B in terms of length) CAT : DOG = 7/6 : 5/5 = 7:6

Discussion

959.	A, B and C are three participants in 1 km race. If A can give B a start of 40 m and B can give C a start of 25 m, how many metres A can give C a start?
Answer» SOLUTION :N/A

Discussion

960.	Find the sum of all odd numbers of four digits which are divisible by 9 :
Answer» 2784491 2478429 2754000 2448729 Answer :C

Discussion

961.	If a 4-digit number is formed at random using the digits 1,3,5,7 and 9 without repitition, then the probability that it is divisible by 5, is
Answer» `4/5` `3/5` `1/5` `2/3` ANSWER :C

Discussion

962.	A cricketer has certain average for 10 innings . In the eleventh ,he scored216 runs,there by increasing his average by 12 runs. Find out his new average
Answer» 96 84 97 87 Answer :A

Discussion

963.	Total number of prime numbers between 1 and 200 is :
Answer» A)34 B)46 C)56 D)71 Answer :B

Discussion

964.	What is the slope of the line perpendicular to the line passing through the points (3,5) and (-4,2) ?
Answer» `-3/5` `-2/3` `-7/3` NONE of these Answer :C

Discussion

965.	If all the letters of the word SEQUESTERED be arranged as in a dictionary, what is 50^th word?
Answer» DEEEEQURSTS RUQDESTESEE ESSTREEUQDE DQUESTREEES Answer :A

Discussion

966.	If (a)/(x-a)+ (b)/(y-b) + (c )/(z-c)=2 find (x)/(x-a) + (y)/(y-b) + (z)/(z-c)= ?
Answer» ANSWER :5

Discussion

967.	ABCD is a parallelogram, E and F are the mid-points of BC and CD. Find the ratio of area of parallelogram ABCD and DeltaAEF
Answer» `2:1` `4:1` `8:3` `8: 1` ANSWER :C

Discussion

968.	What percent is :75 out of 225?
Answer» A) 25% B) 33.33% C) 30% D)21% SOLUTION :`33.33%`

Discussion

969.	If X and Y are two sets and X' denotes the complement of X then Xcap(XuuY)is equal to :
Answer» X Y `PHI` none Answer :C

Discussion

970.	A tradesman allows a discount of 15% on the marked price. How much above the cost price must he mark his goods as to gain 19%?
Answer» ANSWER :0.4

Discussion

971.	25 men can complete a job in 30 days. After how many days should the strength of work force be increased by 50 men so that the work will be completed (2)/(3)rd in of the actual time:
Answer» 15 10 18 5 Answer :A

Discussion

972.	The sum of the first fifteen terms of an A.P. is 105 and the sum of the next fifteen terms is 780. Find the common difference of A.P.:
Answer» 4 3 6 5 Answer :B

Discussion

973.	22020/0.011 = ?
Answer» a. 20020 B. 2000000 c. 200200 d. 2000020 Answer :B

Discussion

974.	A and B throw alternately a pair of dice. A wins if he throws 6 beforeB throws 7 and B wins if the throws 7 before A throws 6. Find theirrespective chance of winning, if A begins.
Answer» `13/16,31/16` `30/61,31/61` `31/61,41/61` `38/61,23/61` ANSWER :B

Discussion

975.	If (sin theta)/(x)=(cos theta)/(y) then sin theta-cos theta
Answer» `X-y` `x+y` `(x-y)/(SQRT(x^(2)+y^(2)))` `(x-y)/(sqrt(x^(2)-y^(2)))` ANSWER :C

Discussion

976.	A pipe can fill a tank in 'x hours and another pipe can empty it in 'y' (y gt x) hours. If both the pipes are open, in how many hours will the tank be filled ?
Answer» `(XY )/( y-x)` HOURS x-yhours y-x hours `(xy )/( x-y) `hours Answer :A

Discussion

977.	(3)/(4)-(5)/(4^(2))+(3)/(4^(3))-(5)/(4^(4))+(3)/(4^(5))-(5)/(4^(6))+.....oo=?
Answer» `(8)/(15)` `(7)/(17)` `(7)/(15)` `(8)/(17)` Answer :C

Discussion

978.	Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?
Answer» A) RS. 5000 B) Rs. 6200 C) Rs. 8100 D) Rs. 7600 Answer :D

Discussion

979.	The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam
Answer» A. 46 B. 36 C. 35 D. 61 Answer :25000

Discussion

980.	Maximum value of (cos theta-sin theta) is :
Answer» `SQRT2` 1 44228 `1/sqrt2` ANSWER :B

Discussion

981.	Mr. Modi can copy 40 pages in 10 minutes, Mr Xerox and Mr. Modi both working together can copy 250pages in 25 minutes. In how many minutes Mr. Xerox can copy 36 pages?
Answer» 5 minutes 6 minutes 3 minutes 12 minutes Answer :B

Discussion

982.	The maximum value of 5costheta+3cos(theta+pi/3)+ is:
Answer» ANSWER :`-4`

Discussion

983.	Abhinav started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in km/h :
Answer» 1.25 1.1 `11/9` 2 Answer :C

Discussion

984.	Help India Foundation and People for people Organistion decided to distribute the blankets among 22 men and 28 women who are Tsunami victims. When HIF and PPO distributed their repective blankets evenly among 28 women they were left with 24 and 16 blankets respectively. If they distributed their blankets evenly among 22 men they were left with 12 blankets each. So finally they dicided to combine all their blankets and then distributed among 22 men and 28 women altogether then no any blanket remained undistributed. Minimum total blankets distributed by them were:
Answer» 960 700 1300 none of these Answer :C

Discussion

985.	Help India Foundation and People for people Organistion decided to distribute the blankets among 22 men and 28 women who are Tsunami victims. When HIF and PPO distributed their repective blankets evenly among 28 women they were left with 24 and 16 blankets respectively. If they distributed their blankets evenly among 22 men they were left with 12 blankets each. So finally they dicided to combine all their blankets and then distributed among 22 men and 28 women altogether then no any blanket remained undistributed. : the ratio of blankets between HIF and PPO is:
Answer» 43/157 147/179 59/101 can't be determined Answer :D

Discussion

986.	A person bought some article at rate of 36 for Rs 189 and sold them at the rate of 45 for Rs 189. Find the profit or loss percent ?
Answer» ANSWER :`20%` LOSS

Discussion

987.	The smallest perfect square divisible by each of 6, 12 and 18 is :
Answer» 196 144 108 36 Answer :D

Discussion

988.	Arun borrowed sum of money from Jayant in the following manner : At 8% for first 4 years, At 10% for next 6 years. At 12% for more than 10 years. He paid a total interest of Rs. 12160 after 15 years . Find the money borrowed by him ?
Answer» ANSWER :RS. 8000

Discussion

989.	In the following fig. AD=BD=AC and angle CAF=81^(@), then find angle ACE.
Answer» ANSWER :`126^(@)`

Discussion

990.	A 29 m long train passes a platform which is 100 m long.Find the distance covered by the train in passing the platform.
Answer» ANSWER :`=129 m`

Discussion

991.	(A + B) can do a piece of work in 12 days. (B + C) can do same work in 16 days. A work for 5 days, B works for 7 days and C completed the remaining work in 13 days. In how many days will A, B and C do this work alone ?
Answer» Answer :A`to`16 days, B`to`48 days, C `to` 24 days

Discussion

992.	Two point (b+3,b+k) and (2,b) are on the line x-2y+9=0 find k
Answer» ANSWER :`(C_(1))/(C_(2))`

Discussion

993.	8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day?
Answer» 16 20 30 10 Answer :C

Discussion

994.	A dishonest milkman buy some milk at Rs. 10 /ltand mixed 5 ltwater to this milk and then sold itRs. 10 /ltand gains 20 % profit. Find the quantity of milk that he bought.
Answer» 20 25 30 35 Answer :`25 " LT "`

Discussion

995.	The value of log 6 is equal to:
Answer» `log1+log2+log3` `LOG(1+2+3)` `log(1xx2xx3)` all of the above ANSWER :D

Discussion

996.	(25^(26^(27)))/(11) Find R.
Answer» ANSWER :`=3`

Discussion

997.	An amount at the rate of 5% pa becomes rupees 10 more at compound interest than that of simple interest after 2 yr. Calculatethe principal.
Answer» (1) 4000 (2) 4050 (3) 5000 (4) 5500 Answer :A

Discussion

998.	An elevator starts with 5 passengers and stops at 8 different floors of the house. Find out the probability of all the 5 passengers alighting at different floors.
Answer» a. `101/512` B. `105/512` C. `107/512` d. `109/512` ANSWER :B

Discussion

999.	Number of zero at the end of the following expression (5!)^(5!) + (10!)^(10!) + (50!)^(50!)+ (100 !)^(100 !) is :
Answer» 165 120 125 None of these ANSWER :B

Discussion

1000.	Which of the following is the number of zeroes in the product: 1^1 xx 2^2 xx 3^3 xx 4^4 xx 99^99 xx 100^100.
Answer» ANSWER :`=1300`

Discussion

Explore topic-wise InterviewSolutions in .

if log_(x)(4/9)=-1/2, then the value of x is:

Find the value of sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costheta)).

6% more is gained by selling a coat for ₹ 1425 than by selling it for ₹ 1353. The cost price of the coat is:

In what time will Rs. 1000 amount to Rs. 1331 at 20% per annum, compounded half yearly?

The ratio of water and alcohol i two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5 ?

How many numbers can be formed using the digits 1, 2, 3, 4, 3, 2, 1 so that the odd digits always occupy the odd places?

Let a/b = c/d, (where a and b are odd prime numbers) . If c > a and d > b , then

A cat takes 7 steps for every 5 steps of a dog, but 5 steps of a dog are equal to 6 steps of cat.What is the ratio of speed of cat to that of dog?

A, B and C are three participants in 1 km race. If A can give B a start of 40 m and B can give C a start of 25 m, how many metres A can give C a start?

Find the sum of all odd numbers of four digits which are divisible by 9 :

If a 4-digit number is formed at random using the digits 1,3,5,7 and 9 without repitition, then the probability that it is divisible by 5, is

A cricketer has certain average for 10 innings . In the eleventh ,he scored216 runs,there by increasing his average by 12 runs. Find out his new average

Total number of prime numbers between 1 and 200 is :

What is the slope of the line perpendicular to the line passing through the points (3,5) and (-4,2) ?

If all the letters of the word SEQUESTERED be arranged as in a dictionary, what is 50^th word?

If (a)/(x-a)+ (b)/(y-b) + (c )/(z-c)=2 find (x)/(x-a) + (y)/(y-b) + (z)/(z-c)= ?

ABCD is a parallelogram, E and F are the mid-points of BC and CD. Find the ratio of area of parallelogram ABCD and DeltaAEF

What percent is :75 out of 225?

If X and Y are two sets and X' denotes the complement of X then Xcap(XuuY)is equal to :

A tradesman allows a discount of 15% on the marked price. How much above the cost price must he mark his goods as to gain 19%?

25 men can complete a job in 30 days. After how many days should the strength of work force be increased by 50 men so that the work will be completed (2)/(3)rd in of the actual time:

The sum of the first fifteen terms of an A.P. is 105 and the sum of the next fifteen terms is 780. Find the common difference of A.P.:

22020/0.011 = ?

A and B throw alternately a pair of dice. A wins if he throws 6 beforeB throws 7 and B wins if the throws 7 before A throws 6. Find theirrespective chance of winning, if A begins.

If (sin theta)/(x)=(cos theta)/(y) then sin theta-cos theta

A pipe can fill a tank in 'x hours and another pipe can empty it in 'y' (y gt x) hours. If both the pipes are open, in how many hours will the tank be filled ?

(3)/(4)-(5)/(4^(2))+(3)/(4^(3))-(5)/(4^(4))+(3)/(4^(5))-(5)/(4^(6))+.....oo=?

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam

Maximum value of (cos theta-sin theta) is :

Mr. Modi can copy 40 pages in 10 minutes, Mr Xerox and Mr. Modi both working together can copy 250pages in 25 minutes. In how many minutes Mr. Xerox can copy 36 pages?

The maximum value of 5costheta+3cos(theta+pi/3)+ is:

Abhinav started for the station half a km from his home walking at 1 km/h to catch the train in time. After 3 minutes he realised that he had forgotten a document at home and returned with increased, but constant speed to get it succeded in catching the train. Find his latter speed in km/h :

A person bought some article at rate of 36 for Rs 189 and sold them at the rate of 45 for Rs 189. Find the profit or loss percent ?

The smallest perfect square divisible by each of 6, 12 and 18 is :

Arun borrowed sum of money from Jayant in the following manner : At 8% for first 4 years, At 10% for next 6 years. At 12% for more than 10 years. He paid a total interest of Rs. 12160 after 15 years . Find the money borrowed by him ?

In the following fig. AD=BD=AC and angle CAF=81^(@), then find angle ACE.

A 29 m long train passes a platform which is 100 m long.Find the distance covered by the train in passing the platform.

(A + B) can do a piece of work in 12 days. (B + C) can do same work in 16 days. A work for 5 days, B works for 7 days and C completed the remaining work in 13 days. In how many days will A, B and C do this work alone ?

Two point (b+3,b+k) and (2,b) are on the line x-2y+9=0 find k

8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day?

A dishonest milkman buy some milk at Rs. 10 /ltand mixed 5 ltwater to this milk and then sold itRs. 10 /ltand gains 20 % profit. Find the quantity of milk that he bought.

The value of log 6 is equal to:

(25^(26^(27)))/(11) Find R.

An amount at the rate of 5% pa becomes rupees 10 more at compound interest than that of simple interest after 2 yr. Calculatethe principal.

An elevator starts with 5 passengers and stops at 8 different floors of the house. Find out the probability of all the 5 passengers alighting at different floors.

Number of zero at the end of the following expression (5!)^(5!) + (10!)^(10!) + (50!)^(50!)+ (100 !)^(100 !) is :

Which of the following is the number of zeroes in the product: 1^1 xx 2^2 xx 3^3 xx 4^4 xx 99^99 xx 100^100.