8677 + Interview Questions in Maths in Class 14 Page 167 InterviewSolution

8301.	If all the sides of a square are increased by 20%, then area is increased by
Answer» a. 46% b. 44% c. 43% d. 45% Answer :C

Discussion

8302.	If the area of the quadrilateral whose angular points taken in order are (1,2) , (-5,6) (7,-4) and (h,-2) be zero, find the value of h :
Answer» 2 3 5 6 Answer :B

Discussion

8303.	The remiander when 2^39 is divided by 39 is:
Answer» 0 2 8 1 Answer :C

Discussion

8304.	Find the modulus of 5 + sqrt(-11).
Answer» SOLUTION :`because z=5+sqrt(-11)=5+sqrt11i` `THEREFORE absz=sqrt(25+11)=sqrt36=6`

Discussion

8305.	Find the reflection of a point (5,-2) in line y=3
Answer» ANSWER :`(##AMC_SSC_MAT_C23_SLV_032_A01##)`

Discussion

8306.	If(1+4p)/p,(1-p)/4,(1-2p)/2are probabilities of three mutually exclusive events, then
Answer» <P>`p=1/2` `p=3/4` `p =1/3` NONE of these Answer :A

Discussion

8307.	Vibhor joined as an area manager of Quick Corporation in the pay scale of Rs. 12,000 - 500 - 18,500 . Minimum how many years he has to work in the corporation to avail the salary of Rs. 18,500 per month :
Answer» a. 12 years B. 10 years c. 13 years d. 11 years ANSWER :C

Discussion

8308.	A man has 12 friends of whom 8 are relatives.How many ways he can invite 7 friends such that 5 of them are relatives is
Answer» a. 336 b. 330 c. 202 d. 127 Answer :A

Discussion

8309.	A takes 6 hours more than (A + B + C) together to complete a work. B takes 1 hours more than (A + B + C) together to complete a work. C takes twice as (A + B + C) together to complete a work. In how many days will A and B together complete this work ?
Answer» ANSWER :`(4)/(3)` DAYS

Discussion

8310.	A three digit number which on being subtracted from another three digit number consisting of the same digits in reverse order gives 594. The minimum possible sum of all the three digits of this number is :
Answer» 8 12 6 can't be determined Answer :A

Discussion

8311.	If x+ (1)/(x)= -1 findx^(25) + (1)/(x^(25))= ?
Answer» ANSWER :`-1`

Discussion

8312.	The perimeter of a certain sector of a circle is equal to the length of the arc of the semicircle having the same radius. The angle of he sector (approx.) is :
Answer» `65^(@)27'16''` `68^(@)18'19''` `56^(@)52'18''` NONE of these Answer :A

Discussion

8313.	Prachi starts from Barabanki at 6 am at constant speed of 60 km/h. She halts at Lucknow for half an hour and then drives at 40 km/h. If she reaches Kanpur at 9 : 30 am, which is 160 km from Barabanki, how far is Barabanki from Lucknow?
Answer» 75 KM 80 km 100 km 120 km ANSWER :D

Discussion

8314.	If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , thenx equals
Answer» `X=1/8, y= 64` `x= 1/4, y= 48` `x= 64, y=1/4` NONE of these Answer :C

Discussion

8315.	The remainder when 3^0 + 3^1 + 3^2 + ….. + 3^(200) is divided by 13 is :
Answer» 0 12 3 none of these ANSWER :A

Discussion

8316.	A mixture of milk and water in a jar contains 28 L milk and 8 L water. X milk and XLwater are mixed to form a mixture. If 40% of the new mixture is 20 L, then find the value of X.
Answer» 7L 8L 6L 5L Solution :According to QUESTION, `40%` of new MIXTURE `=20L` `100%` of new mixture `=(20)/(40)XX100` `50L` `28+x+8+x=50` `2x=50-36` `x=7L`

Discussion

8317.	If log_3 30=1/a and log_5 30=1/b then the value of 3log_30 2 is:
Answer» 3(1+a+b) 2(1- a-b) 3(1-a-b) 3(1+a-b) ANSWER :C

Discussion

8318.	A number when divided by 3 leaves a remainder1. When the quotient is divided by 2, it leaves a remainder 1. What will bethe remainder when the number is divided by 6?2(b) 3 (c) 4 (d) 5
Answer» 3 4 5 2 Answer :B

Discussion

8319.	A right circular cone of height h is cut by a plane parallel to the base and at a distance h/3 from the base, then the volumes of the resulting cone and frustum are in the ratio
Answer» `1:3` `8:19` `1:4` `1:7` SOLUTION : Volume of the original cone 'V' `=(pir^2h)/3` Height of the smaller cone =2h/3 and radius `=(2r)/3("from SIMILAR" DELTA's)` Voume of smaller cone `=1/3pi((2r)/3)^2(2h)/3=8/81pir^2h=(8V)/27` `("Volume of smaller cone")/("Volume of FRUSTUM")=(8V//27)/(V-8V//27)=8/19`

Discussion

8320.	Cost of 8pencils, 5pens and 3erasers is rs.111. Cost of 9pencil, 6pens and 5eraser is rs. 130. Cost of 16pencils, 11pens and 3erasers is rs.221. what is the cost of 39pencil, 26pen and 13 erasers.
Answer» a. 316 B. 546 c. 624 d.can't be DETERMINED ANSWER :B

Discussion

8321.	If(x^(2)-1)/(x)=sqrt5 and xis positive number find (x^(2) + (1)/(x^(2))) (x+ (1)/(x))= ?
Answer» ANSWER :21

Discussion

8322.	Three men and 5 women together can finish a job in 3 days. Working on the same job 3 women take 5 days more than the time required by 2 men. What is the ratio of efficiency of a man to a woman?
Answer» `2:1` `3:2` `5:2` `4:1` ANSWER :C

Discussion

8323.	Find five rational number between 3 and 4
Answer» ANSWER :(a)`(a+B)/(2)` (b) `(ak+b)/(k+1) "" (k=1,2,3)`

Discussion

8324.	The sum of n terms of a progression is 3n^2 + 5 . The number of terms which equals 123 is :
Answer» 12 18 21 23 Answer :C

Discussion

8325.	By selling an umbrella for Rs. 30, a shop-keeper gains 20%. Dur ing a clearance sale, the shop keeper allows a discount of 10%. Find his gain percent during the sale season.
Answer» 7 7.5 8 9 Answer :C

Discussion

8326.	A shop sells 6 different flavors of ice-creams. In how many ways can a customer choose 4 ice-cream cones if they contain only 2 or 3 different flavors.
Answer» a. 105 B. 462 c. 123 d. `""^(11)C_2` ANSWER :B

Discussion

8327.	factorize the following numbers into the prime factors 120
Answer» SOLUTION :`2xx2xx2xx2xx3xx5`

Discussion

8328.	Ifa^(2) + 13 b^(2) + c^(2) - 4 ab - 6 b c = 0thena : b : cis
Answer» `1:2:3` `2:3:1` `2:1:3` `1:3:2` ANSWER :C

Discussion

8329.	What percent of 3/7 is 1/105?
Answer» `10%` `2.22%` `45%` `450%` ANSWER :B

Discussion

8330.	There are two numbers. When first number is increased by 125%, the obtained number is 300 less than second number and if the first number is increased by 150% then the obtained number is 200 less than the second number. Find out the sum of the two numbers.
Answer» ANSWER :430

Discussion

8331.	What is the least possible number which when divided by 18, 35 or 42 it leaves the 2, 19, 26 as the remainders respectively?
Answer» Solution :Since the difference between the divisors and the respective remainders is same. THEREFORE , the LEAST POSSIBLE number =(LCM of 18, 35 and 42) - 16 = 630 - 16 = 614[`therefore` (18 - 2) = (35 - 19)=(42 - 26)= 16]

Discussion

8332.	The remainder when 1^3 + 2^3 + 3^3 + …..+ 999^3 + 1000^3 is divided by 13 is :
Answer» 7 11 12 none of these ANSWER :D

Discussion

8333.	A cube of side 6 cm is painted on all its 6 faces with red colour. It is then broken up into 216 smaller identical cubes . What is the ratio of N_0 : N_1 : N_2 .Where N_0 to number of smaler cube with no colourd surface . N_1 tonumber of smaller cubes with 1 red face . N_2 tonumber of smaller cubes with 2 redfaces :
Answer» 0.12784722222222 0.12783564814815 0.17086805555556 can't be determined Answer :C

Discussion

8334.	A man sells two wrist watches one at a profit of 10% and another at a loss of 10%, but the selling price of each watch is ₹ 200. Find the: percentage profit or loss
Answer» Solution :Since, there is always LOSS. (LOGIC: To get the logic you should REFER the percentage CHAPTER)

Discussion

8335.	Kavita, Babita and Samita started a work. 5 days later Samita left the work and Babita left the work after working 8 days. In how many more days Kavita would have completed the rest work if they take 20, 60 and 30 days individually to finish a work?
Answer» 4 5 6 8 Answer :C

Discussion

8336.	The remainder of (888^(222) + 222^(888))/(3) is :
Answer» 0 1 2 3 Answer :D

Discussion

8337.	Abhay working in Tele Bharti as a salesperson. His monthly salary is just Rs. 200. But he gets the bonus as per the given rule. If he sells the simcards of Rs. X then his bonus will be Rs. [((x)/(100))^(2) + 10]. In the first quarter of the year his average sale was Rs. 3000 per month. In the next 5 months his average sae was Rs. 5000 per month. In the last four months his average sale was Rs. 8000 per month. What is the average earning pre month for the whole year ?
Answer» (A) 3350 (B) 3610 (C) 3560 (D) NONE of these Answer :B

Discussion

8338.	Find the value 3/2 " of " (4/3 div 5/7) + 1/2 div [3 4/5 - {2/5 -(1/3 + 1/2+ bar(1/5 - 1/6))}]
Answer» SOLUTION :`2 2061/2170`

Discussion

8339.	If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% per annum is Rs. 6, then the sum is
Answer» ANSWER :RS. 2400

Discussion

8340.	(2^19+1) is divisible by :
Answer» 3 4 6 3 & 6 both Answer :A

Discussion

8341.	Find the total number of permutations of ndifferent things taken not more than rat a time, when each thing may be repeated any number of times.
Answer» `(N^r-1)/(n-1)` `r^n -1` `(n(n^r -1))/(n-1)` NONE of these Answer :C

Discussion

8342.	If x+(1)/(x)=1then x^(52)+x^(46)+x^(32)+x^(26)+x^(21)+x^(15)+x^(6)+x^(3)+4is equal to
Answer» 0 3 4 2 Answer :A

Discussion

8343.	The sum of length,breadth and depth of cuboid is 12 cm and its diagonal is 5sqrt2 cm . Its surface area is
Answer» `152 cm^2` `94 cm^2` `108 cm^2` `60sqrt2 cm^2` ANSWER :B

Discussion

8344.	A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 litres of petrol is used daily, the supply fails in 90 days. If 32,000 litres of petrol is used . daily, it fails in 60 days. How much petrol can be used daily without the supply ever failing?
Answer» 64000 litres 56000 liters 78000 litres 60000 liters Answer :B

Discussion

8345.	Find the each exterior angle of a polygon if total no. of diagonals are 90 and all angles areequal
Answer» ANSWER :`24^(@)`

Discussion

8346.	One of the angles of a parallelogram is 150∘ . Altitudes are drawn from the vertex of this angle. If these altitudes measure 6 cm and 8 cm, then find the perimeter of the parallelogram.
Answer» ANSWER :A

Discussion

8347.	Find the area of an isoceles triangle ABC in which angle ABC=120^@ and each of the smaller side is 1 unit.
Answer» `sqrt3/4` `sqrt3/2` `2SQRT3` `(3SQRT3)/10` ANSWER :A

Discussion

8348.	A shopkeeper purchased some oranges. By selling 40% oranges he got his purchasing price and sold 80% of remaining at the half of the profit % earlier and thrown away rest oranges. Find profit %.
Answer» ANSWER :0.84

Discussion

8349.	A person bought some article at rate of 5 for Rs 1 and bought same number of articles at the rate of 4 for Rs 1. And sold all the stock at the rate of 9 for Rs 2.Total loss is 3 rupees.Find the number of articles he bought?
Answer» ANSWER :1080

Discussion

8350.	Droupdi has 5 friends. In how many ways can she invite one or more of them to a dinner ?
Answer» 31 `5^5` 13 `2^5` ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

If all the sides of a square are increased by 20%, then area is increased by

If the area of the quadrilateral whose angular points taken in order are (1,2) , (-5,6) (7,-4) and (h,-2) be zero, find the value of h :

The remiander when 2^39 is divided by 39 is:

Find the modulus of 5 + sqrt(-11).

Find the reflection of a point (5,-2) in line y=3

If(1+4p)/p,(1-p)/4,(1-2p)/2are probabilities of three mutually exclusive events, then

Vibhor joined as an area manager of Quick Corporation in the pay scale of Rs. 12,000 - 500 - 18,500 . Minimum how many years he has to work in the corporation to avail the salary of Rs. 18,500 per month :

A man has 12 friends of whom 8 are relatives.How many ways he can invite 7 friends such that 5 of them are relatives is

A takes 6 hours more than (A + B + C) together to complete a work. B takes 1 hours more than (A + B + C) together to complete a work. C takes twice as (A + B + C) together to complete a work. In how many days will A and B together complete this work ?

A three digit number which on being subtracted from another three digit number consisting of the same digits in reverse order gives 594. The minimum possible sum of all the three digits of this number is :

If x+ (1)/(x)= -1 findx^(25) + (1)/(x^(25))= ?

The perimeter of a certain sector of a circle is equal to the length of the arc of the semicircle having the same radius. The angle of he sector (approx.) is :

Prachi starts from Barabanki at 6 am at constant speed of 60 km/h. She halts at Lucknow for half an hour and then drives at 40 km/h. If she reaches Kanpur at 9 : 30 am, which is 160 km from Barabanki, how far is Barabanki from Lucknow?

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , thenx equals

The remainder when 3^0 + 3^1 + 3^2 + ….. + 3^(200) is divided by 13 is :

A mixture of milk and water in a jar contains 28 L milk and 8 L water. X milk and XLwater are mixed to form a mixture. If 40% of the new mixture is 20 L, then find the value of X.

If log_3 30=1/a and log_5 30=1/b then the value of 3log_30 2 is:

A number when divided by 3 leaves a remainder1. When the quotient is divided by 2, it leaves a remainder 1. What will bethe remainder when the number is divided by 6?2(b) 3 (c) 4 (d) 5

A right circular cone of height h is cut by a plane parallel to the base and at a distance h/3 from the base, then the volumes of the resulting cone and frustum are in the ratio

Cost of 8pencils, 5pens and 3erasers is rs.111. Cost of 9pencil, 6pens and 5eraser is rs. 130. Cost of 16pencils, 11pens and 3erasers is rs.221. what is the cost of 39pencil, 26pen and 13 erasers.

If(x^(2)-1)/(x)=sqrt5 and xis positive number find (x^(2) + (1)/(x^(2))) (x+ (1)/(x))= ?

Three men and 5 women together can finish a job in 3 days. Working on the same job 3 women take 5 days more than the time required by 2 men. What is the ratio of efficiency of a man to a woman?

Find five rational number between 3 and 4

The sum of n terms of a progression is 3n^2 + 5 . The number of terms which equals 123 is :

By selling an umbrella for Rs. 30, a shop-keeper gains 20%. Dur ing a clearance sale, the shop keeper allows a discount of 10%. Find his gain percent during the sale season.

A shop sells 6 different flavors of ice-creams. In how many ways can a customer choose 4 ice-cream cones if they contain only 2 or 3 different flavors.

factorize the following numbers into the prime factors 120

Ifa^(2) + 13 b^(2) + c^(2) - 4 ab - 6 b c = 0thena : b : cis

What percent of 3/7 is 1/105?

There are two numbers. When first number is increased by 125%, the obtained number is 300 less than second number and if the first number is increased by 150% then the obtained number is 200 less than the second number. Find out the sum of the two numbers.

What is the least possible number which when divided by 18, 35 or 42 it leaves the 2, 19, 26 as the remainders respectively?

The remainder when 1^3 + 2^3 + 3^3 + …..+ 999^3 + 1000^3 is divided by 13 is :

A man sells two wrist watches one at a profit of 10% and another at a loss of 10%, but the selling price of each watch is ₹ 200. Find the: percentage profit or loss

Kavita, Babita and Samita started a work. 5 days later Samita left the work and Babita left the work after working 8 days. In how many more days Kavita would have completed the rest work if they take 20, 60 and 30 days individually to finish a work?

The remainder of (888^(222) + 222^(888))/(3) is :

Find the value 3/2 " of " (4/3 div 5/7) + 1/2 div [3 4/5 - {2/5 -(1/3 + 1/2+ bar(1/5 - 1/6))}]

If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% per annum is Rs. 6, then the sum is

(2^19+1) is divisible by :

Find the total number of permutations of ndifferent things taken not more than rat a time, when each thing may be repeated any number of times.

If x+(1)/(x)=1then x^(52)+x^(46)+x^(32)+x^(26)+x^(21)+x^(15)+x^(6)+x^(3)+4is equal to

The sum of length,breadth and depth of cuboid is 12 cm and its diagonal is 5sqrt2 cm . Its surface area is

Find the each exterior angle of a polygon if total no. of diagonals are 90 and all angles areequal

One of the angles of a parallelogram is 150∘ . Altitudes are drawn from the vertex of this angle. If these altitudes measure 6 cm and 8 cm, then find the perimeter of the parallelogram.

Find the area of an isoceles triangle ABC in which angle ABC=120^@ and each of the smaller side is 1 unit.

A shopkeeper purchased some oranges. By selling 40% oranges he got his purchasing price and sold 80% of remaining at the half of the profit % earlier and thrown away rest oranges. Find profit %.

A person bought some article at rate of 5 for Rs 1 and bought same number of articles at the rate of 4 for Rs 1. And sold all the stock at the rate of 9 for Rs 2.Total loss is 3 rupees.Find the number of articles he bought?

Droupdi has 5 friends. In how many ways can she invite one or more of them to a dinner ?