8677 + Interview Questions in Maths in Class 14 Page 21 InterviewSolution

1001.	Among the first 100 even natural numbers haw many numbers have even number of factors?
Answer» 37 50 73 93 Answer :D

Discussion

1002.	Study the following graph carefully and answer the questions that follow What is the total number of days that carpenter Z will take tomake onepiece eachof all itemstogether?
Answer» 32 DAYS 24 days `1 1/59 `days `1 1/32` days ANSWER :A

Discussion

1003.	A path of uniform width runs all aroundthe inside of rectangular field 116 m by 68 mand occupies 720 sq. m . Find the width of the path :
Answer» 1 m 1.5 m 2 m 4 m Answer :C

Discussion

1004.	Rs . 20000 is being compounded at 20% p.a . If the rate of interest is changed half yearly. What will be the amount after 2 years ?
Answer» 28292 27292 29282 22358 Solution :`20000(1+(20//2)/100)^(2XX2)=20000(1+10/100)^4=20000(1.1)^4=20000xx1.4641=₹29282`

Discussion

1005.	If a^(2) +b^(2) +c^(2) = ab + bc + ca then (c )/(a+b) + (b)/(a +c)+ (c )/(a+b)= ?
Answer» ANSWER :`(3)/(2)`

Discussion

1006.	By selling 20 articles for a rupee a man loses 10%. How many for a rupee did he buy ?
Answer» 16 18 14 none of these Answer :A

Discussion

1007.	9 (3)/(4) + [2(1)/(6) + {4 (1)/(3) - (2 (1)/(2) + (3)/(4))}] is equal to
Answer» 4 `(47)/(4)` `3` `(15)/(4)` ANSWER :B

Discussion

1008.	Let there be a random number n such that the product of its digits is 6. How many values of n are there, if n lies between 10^9 and 10^10?
Answer» A) 10 B) 60 C) 90 D) 100 Answer :D

Discussion

1009.	An ndigit number is a positive number with exactlyn digits. Nine hundred distinct ndigit numbers are to be formed using only the three digits 2, 5 and 7.The smallest value of nfor which is possible is
Answer» 6 7 8 9 Answer :B

Discussion

1010.	A can give B a 200 m startup and C a 300 m startup in a race of 1 km.How many meters startup can B give to C in a 1 km race.
Answer» Answer :HENCE, B can give a start of 125 m to C in a 1 KM race.

Discussion

1011.	A sum of money becomes just double at compound interest in 5 years. In how many years it will be 8 times itself?
Answer» ANSWER :15 YEARS

Discussion

1012.	If equation of two lines are 3x+8y=11 and 6x-ky=22 has infinite solution. Find value of k.
Answer» ANSWER :`(C_(1))/(C_(2))`

Discussion

1013.	In the following figure ADBC, BD=CD=AC, angleABC=27^(@),angleACD=y. Find the value of y :
Answer» `27^(@)` `54^(@)` `72^(@)` `58^(@)` Answer :C

Discussion

1014.	A man purchased a box full of pencils at the rate of 7 for Rs. 9 and sold all of them at the rate of 8 for Rs. 12. In this transaction, he gained Rs. 10. How many pencils did did the box contian?
Answer» ANSWER :112

Discussion

1015.	Find SP when CP = Rs. 56.25 and Gain = 20%.
Answer» a. RS. 72 B. rs. 67.5 c. rs. 50 d. rs. 75 Answer :B

Discussion

1016.	x^2+x-12lt0
Answer» `-ooltx-4` and `3ltxltoo` `[-4,3]` `(-OO,4)UU(3,oo)` `(-4,3)` ANSWER :D

Discussion

1017.	Thelog_100x=-4, then the value of x is :
Answer» `1/(10)^(-4)` `(10)^(-4)` `1/(10)^8` NONE of these Answer :C

Discussion

1018.	Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?
Answer» a. `140:144:147` B. `40:44:47` C. `15:21:28` d. `252:245:240` ANSWER :A

Discussion

1019.	In 600 m race, A defeats B by 60 m. In 500 m race B defeats C by 50 m. In 400 m race, A will defeat C by.
Answer» SOLUTION :N/A

Discussion

1020.	Directions (Q. Nos. 6-15) Study the following pie charts and table to answer the questions that follow. Statewise details of adult population of a country .What is the ratio of the total graduate and XII Std. male population of State A to the total graduate and XII Std. female population of that state?
Answer» ` 215 : 216 ` `214 : 215` ` 217 : 215 ` `215 : 217` ANSWER :C

Discussion

1021.	A student was asked to multiply a number by (2)/(3)but he divided that number by (2)/(3). His result was 10 more than the correct answer. The numberwas -
Answer» 10 12 15 20 Answer :B

Discussion

1022.	If (alpha) and(beta) be the roots of the equation ax^2+bx + c=0, find the value of (alpha^(2))/(beta) + (beta^(2))/(alpha)
Answer» `(ab-B^(2)C)/(2b^(2)c)` `(3bc -a^(3))/(b^(2)c)` `(3ac -b^(2))/(a^(2)c)` `(3abc-b^(3))/(a^(2)c)` Answer :D

Discussion

1023.	The population of UP increases very rapidly @12% p.a. and 3 years ago its population was 1 million . What is present population ?
Answer» SOLUTION :`A=1000000(1.12)^3=1404928`

Discussion

1024.	Total number of numbers lying in the range of 1331 and 3113 which are neither divisible by 2,3 or 5 is :
Answer» a. 477 b. 594 c. 653 d. NONE of these ANSWER :A

Discussion

1025.	A certain amount of sum is invested at simple interest. If the sum becomes k times itself in 16 years and 2k times itself in 40 years, in how many year will it become 4k times of itself?
Answer» 96 years 88 years 80 years 64 years Answer :B

Discussion

1026.	If ptan45^@.cos60^@=sin60^@cot60^@, then p is equal to
Answer» 1 0 `SQRT3` `1/sqrt2` ANSWER :A

Discussion

1027.	A wise old woman calls upon all her 7 sons at her eleventh hour and hands them over the keys of a box in which she keeps all her precious jewelry. She tells them that she has locked the box with multiple locks so that the box can be opened only when majority of you are present with the keys I am giving to you. After giving each of her sons the keys of certain locks she takes her last breath. How many locks she uses to secure her jewelry and how many keys does she hand over to each of the seven sons?
Answer» 35,20 42,21 28,21 36,18 Answer :A

Discussion

1028.	In the following which pair contains like terms?
Answer» `2x^2y,2XY^2` 2xy,-3yx 6,6x 2xy,3xyz Answer :B

Discussion

1029.	For a quadratic inequation ax^2+bx+cge0,Dlt0 and alt0 the value of x that saisfy the given inequation
Answer» `R+` `R-` `R-{0}` does not exist Answer :D

Discussion

1030.	In what proportion, must wheat at rs6.20 per kg be mixed with wheatat rs 7.20per kg , so that the mixture be worth rs 6.50 per kg ?
Answer» ANSWER :`7:3`

Discussion

1031.	If a, b are rational numbers and (a-1)(sqrt2)+3=bsqrt(2)+a , then valueof (a+b) is :
Answer» `-3` 5 `-5` 3 Answer :B

Discussion

1032.	(A + B) can do a piece of work in 20 days and A can do same work in 60 days. In how many days will B do this work ?
Answer» ANSWER :30 DAYS

Discussion

1033.	If 54327 is divisible by 9, then the digit in place of is
Answer» 0 1 6 9 Answer :C

Discussion

1034.	I.2x^(2) + 11x+ 12 = 0 II.2y^(2) + 19y + 45 = 0
Answer» if` X gt y` if ` x lt y` if ` x LE y` if ` x ge y` Solution :` (2x+8)(2x+3) = 0` `X- 8/2, -3/2 =- 4, -1.5` ` (2y+10)(2y+9) = 0` ` Y = - 10/2, 9/2 =- 5, -4.5` ` -1.5, -4, -4.5, -5` ` rArrx gt y`

Discussion

1035.	A can do a piece of work in 10 days, B can do it in 15 days working together they can finish the work in :
Answer» 9 8 10 6 Answer :D

Discussion

1036.	The ratio of the ages of two persons is 4: 7 and the age of one of them is greater than that of the other by 30 years. The sum of their ages( in years ) is
Answer» 110 100 `518 `24 Answer :A

Discussion

1037.	Sapna borrowed some money on compound interest and returned it in 3 yr in equal annual instalments. If rate of interest is 15% per annum and annual instalment is ? 486680, then find the sum borrowed.
Answer» ANSWER :RS 1111200

Discussion

1038.	To raise the height of a low land, 48 m long and 31.5 m borad, to 6.5 dm, a ditch, 27 m long and 18.2 m broad, was dug in a side plot. The depth of the ditch will be
Answer» 2 m 2.1 m 2.2 m 2.5 m Answer :A

Discussion

1039.	The probability that the birthdays of 4 different persons will fall in exactly two calendar months is :
Answer» `77/1728` `17/87` `11/144` NONE of these Answer :A

Discussion

1040.	Two articles were sold for Rs 1199 each. First was sold at 15% loss and second at 15% profit. Find over all profit or loss.
Answer» ANSWER :0.0225

Discussion

1041.	What is the simplified value of [(cos^(2) theta)/(1+sin theta)- (sin^(2) theta)/(1 + cos theta)]^(2)?
Answer» `sin theta` `1-sin 2theta` `1+ sin 2 theta` `1- sin theta` ANSWER :D

Discussion

1042.	Mr. Deepak invested an amount of21250 for 6 yr. At what rate of simple interest, will he obtain the total amount of26350 at the end of 6 yr?
Answer» 0.06 0.04 0.08 0.12 Solution : N/A

Discussion

1043.	Approximately how many candidates appearing from Kolkata in 2004 qualified int eh competitive examination ? Approximately what was the difference the number of candidates qualified from Hyderabad in 2001 and 2002 ?
Answer» 1680 1440 1450 2060 Answer :D

Discussion

1044.	Krishna has some hens and some goats. If the total number of animal heads are 81 and total number of animal legs are 234, how many goats does Krishna has?
Answer» 45 24 36 None of these Answer :C

Discussion

1045.	If sin 17^@ = x/y,then the value of sec 17^@ - sin 73^@ is
Answer» `(y^(2)-X^(2))/(XY)` `(x^(2))/(SQRT(y^(2)-x^(2)))` `(x^(2))/(ysqrt(y^(2)+x^(2)))` `(x^(2))/(ysqrt(y^(2)-x^(2)))` ANSWER :D

Discussion

1046.	ABCD is a parallelogram and BD is a diagonal.angleBAD = 65^(@) and angleDBC = 45^(@), then m angleBDCis :
Answer» `65^(@)` `70^(@)` `20^(@)` None of these Answer :C

Discussion

1047.	If the true discount for a sum of X 50000 for a period of 4 yr at a certain rate of interest per annum is X 2000, find the rate of interest.
Answer» 0.01 `1.5% 0.02 0.05 Answer :A

Discussion

1048.	In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case ?
Answer» A) 693 B) 741 C) 528 D) 654 Answer :B

Discussion

1049.	Product of two co-prime numbers is 117. Then their LCM is:
Answer» 117 9 13 39 Answer :A

Discussion

1050.	In the previous question how many arrangements are possible if there is exactly one executive between these two brothers?
Answer» `(14!)^2` (14!) 2.(14!) NONE of these Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

Among the first 100 even natural numbers haw many numbers have even number of factors?

Study the following graph carefully and answer the questions that follow What is the total number of days that carpenter Z will take tomake onepiece eachof all itemstogether?

A path of uniform width runs all aroundthe inside of rectangular field 116 m by 68 mand occupies 720 sq. m . Find the width of the path :

Rs . 20000 is being compounded at 20% p.a . If the rate of interest is changed half yearly. What will be the amount after 2 years ?

If a^(2) +b^(2) +c^(2) = ab + bc + ca then (c )/(a+b) + (b)/(a +c)+ (c )/(a+b)= ?

By selling 20 articles for a rupee a man loses 10%. How many for a rupee did he buy ?

9 (3)/(4) + [2(1)/(6) + {4 (1)/(3) - (2 (1)/(2) + (3)/(4))}] is equal to

Let there be a random number n such that the product of its digits is 6. How many values of n are there, if n lies between 10^9 and 10^10?

An ndigit number is a positive number with exactlyn digits. Nine hundred distinct ndigit numbers are to be formed using only the three digits 2, 5 and 7.The smallest value of nfor which is possible is

A can give B a 200 m startup and C a 300 m startup in a race of 1 km.How many meters startup can B give to C in a 1 km race.

A sum of money becomes just double at compound interest in 5 years. In how many years it will be 8 times itself?

If equation of two lines are 3x+8y=11 and 6x-ky=22 has infinite solution. Find value of k.

In the following figure ADBC, BD=CD=AC, angleABC=27^(@),angleACD=y. Find the value of y :

A man purchased a box full of pencils at the rate of 7 for Rs. 9 and sold all of them at the rate of 8 for Rs. 12. In this transaction, he gained Rs. 10. How many pencils did did the box contian?

Find SP when CP = Rs. 56.25 and Gain = 20%.

x^2+x-12lt0

Thelog_100x=-4, then the value of x is :

Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?

In 600 m race, A defeats B by 60 m. In 500 m race B defeats C by 50 m. In 400 m race, A will defeat C by.

A student was asked to multiply a number by (2)/(3)but he divided that number by (2)/(3). His result was 10 more than the correct answer. The numberwas -

If (alpha) and(beta) be the roots of the equation ax^2+bx + c=0, find the value of (alpha^(2))/(beta) + (beta^(2))/(alpha)

The population of UP increases very rapidly @12% p.a. and 3 years ago its population was 1 million . What is present population ?

Total number of numbers lying in the range of 1331 and 3113 which are neither divisible by 2,3 or 5 is :

A certain amount of sum is invested at simple interest. If the sum becomes k times itself in 16 years and 2k times itself in 40 years, in how many year will it become 4k times of itself?

If ptan45^@.cos60^@=sin60^@cot60^@, then p is equal to

In the following which pair contains like terms?

For a quadratic inequation ax^2+bx+cge0,Dlt0 and alt0 the value of x that saisfy the given inequation

In what proportion, must wheat at rs6.20 per kg be mixed with wheatat rs 7.20per kg , so that the mixture be worth rs 6.50 per kg ?

If a, b are rational numbers and (a-1)(sqrt2)+3=bsqrt(2)+a , then valueof (a+b) is :

(A + B) can do a piece of work in 20 days and A can do same work in 60 days. In how many days will B do this work ?

If 5432*7 is divisible by 9, then the digit in place of * is

I.2x^(2) + 11x+ 12 = 0 II.2y^(2) + 19y + 45 = 0

A can do a piece of work in 10 days, B can do it in 15 days working together they can finish the work in :

The ratio of the ages of two persons is 4: 7 and the age of one of them is greater than that of the other by 30 years. The sum of their ages( in years ) is

Sapna borrowed some money on compound interest and returned it in 3 yr in equal annual instalments. If rate of interest is 15% per annum and annual instalment is ? 486680, then find the sum borrowed.

To raise the height of a low land, 48 m long and 31.5 m borad, to 6.5 dm, a ditch, 27 m long and 18.2 m broad, was dug in a side plot. The depth of the ditch will be

The probability that the birthdays of 4 different persons will fall in exactly two calendar months is :

Two articles were sold for Rs 1199 each. First was sold at 15% loss and second at 15% profit. Find over all profit or loss.

What is the simplified value of [(cos^(2) theta)/(1+sin theta)- (sin^(2) theta)/(1 + cos theta)]^(2)?

Mr. Deepak invested an amount of21250 for 6 yr. At what rate of simple interest, will he obtain the total amount of26350 at the end of 6 yr?

Approximately how many candidates appearing from Kolkata in 2004 qualified int eh competitive examination ? Approximately what was the difference the number of candidates qualified from Hyderabad in 2001 and 2002 ?

Krishna has some hens and some goats. If the total number of animal heads are 81 and total number of animal legs are 234, how many goats does Krishna has?

If sin 17^@ = x/y,then the value of sec 17^@ - sin 73^@ is

ABCD is a parallelogram and BD is a diagonal.angleBAD = 65^(@) and angleDBC = 45^(@), then m angleBDCis :

If the true discount for a sum of X 50000 for a period of 4 yr at a certain rate of interest per annum is X 2000, find the rate of interest.

Product of two co-prime numbers is 117. Then their LCM is:

In the previous question how many arrangements are possible if there is exactly one executive between these two brothers?

If 54327 is divisible by 9, then the digit in place of is