8677 + Interview Questions in Maths in Class 14 Page 78 InterviewSolution

3851.	For a quadratic equation, the roots are(-1,3) and the minimum is 4 units, then the triangle formed by connecting the roots and the minimum value of y is
Answer» RIGHT ANGLE triangle scalene triangle equilateral triangle isosceles triangle Answer :D

Discussion

3852.	(4^(61)+4^(62)+4^(63)+4^(64))is divisible by3(b) 11 (c) 13 (d) 17
Answer» 3 17 11 13 Answer :B

Discussion

3853.	Saumya has pencil box of volume 60 cm^(3).What can be the maximum length of a pencil that can be accommodate in the box. Given that all the sides are integral ( in cm ) and different from each other ?
Answer» `7sqrt2 CM` `SQRT(905) cm` `sqrt(170) cm` `sqrt(3602) cm` ANSWER :B

Discussion

3854.	ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and angle ADC = 150degree. Then angle BAC is equal to:
Answer» a. 50degree b. 30degree c. 60degree d. 40degree Answer :A

Discussion

3855.	The following pie chart shows the hourly distribution of all the major activities of a student. The percentage of time which he spends in school is :
Answer» `38%` `30%` `40%` `25%` ANSWER :B

Discussion

3856.	The minimum and maximum values of (7-x)^2-8 are
Answer» `-8,15` `-15,15` `-8,41` NONE of these Answer :D

Discussion

3857.	A sum of money at compound interest amounts thrice of itself in 3 years. In how many years it will be 9 times of itself ?
Answer» ANSWER :6 YEARS

Discussion

3858.	Find out Factors of 100
Answer» ANSWER :`=9`

Discussion

3859.	Find the value of 107xx107-93xx93
Answer» SOLUTION :`(107)^2-(93)^2 [thereforea^2-b^2=(a+b)(a-b)]` `=(107+93)(107-93)=200xx14=2800`

Discussion

3860.	Points A,B,C and D are concyclic. BC is the diameter and O is the centre of the circle, angleBAO=69^@ find angleDAO+angleDCO
Answer» A)138 B)111 C)121 D)NONE of these Answer :B

Discussion

3861.	Find the compound interest on Rs. 8000 at 8% per annum for 2 years, compounded half-yearly.
Answer» ANSWER :RS. 1358.86

Discussion

3862.	The weight of 5 members is measured in sequence andeach time the average weight is increased by 1 kg. Find the difference between weight of first & last member
Answer» ANSWER :8 KG

Discussion

3863.	In the given figure of circle AB is the diameter with length 20 cm and BC is 16 cm, then find the length of CO when CO is perpendicular on AB :
Answer» 9.6 cm 8.4 cm 10 cm data insufficient Answer :A

Discussion

3864.	A shopkeeper purchased 200 bulbs for₹10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at ₹ 12 each. What will be the percentage profit?
Answer» 25 15 13 17 Solution :Total COST price`= 200 XX 10 = ₹ 20000` Total selling price `= 12 xx 195 = ₹ 2340` `therefore` Profitper CENT `= (2340-2000)/(2000) xx 100=17%`

Discussion

3865.	Let A_0A_1A_2A_3A_4A_5 be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments A_0A_1,A_0A_2,A_0A_4 is
Answer» `3/4` `ROOT(3)(3)` 3 `root(3)(3)/2` ANSWER :C

Discussion

3866.	The simple interest on a sum of money is (8)/(25) of the sum. If the number of years is numerically half of the rate percent per annum, then find the rate percent per annum.
Answer» ANSWER :0.08

Discussion

3867.	Pand Q earn in the ratio 2:1. They spend in the ratio 5: 3 and save in the ratio 4: 1. Find the monthly income of each if the total monthly savings of both P and Q together is Rs 5000?
Answer» `14000,7000` `10000,5000` `2000,1000` `8000,4000` ANSWER :A

Discussion

3868.	Find the value of (243)^(".l6")xx(243)^(.04)
Answer» 0.16 `1/3` 3 0.04 Answer :C

Discussion

3869.	A process in which the system does not exchange heat with the surroundings is known as
Answer» Ram Sita Urmila Can't be determined Answer :A

Discussion

3870.	A quadratic equation which attains its minimum-4 at x = 5 its y-intersect is 21, the largest root of this ’ equation must be less than
Answer» 10 5 6 3 Answer :A

Discussion

3871.	A, B and C can do a piece of work in 10, 20 and 25 days. How much minimum time should be required to complete this work if more than two persons can not work in a day and in any two consecutive days same pair can not work ?
Answer» ANSWER :`6(13)/(15)` DAYS

Discussion

3872.	x^(4)+4x^(3)+ax^(2)+bx+25 is a perfect square number, where a and b are positive real numbers then find the value of a + b.
Answer» 20 32 34 42 Answer :C

Discussion

3873.	If Rs. 500 amounts to the Rs. 725 at 9% simple interest in some time, what will Rs. 600 amount to at 11% in the same time?
Answer» ANSWER :RS. 330

Discussion

3874.	A-(BuuC)is equal to
Answer» `(A-B)UU(A-C)` `(A-B)NN(ANNC)` `(A-B)uuC` `(A-C)uuB` Answer :B

Discussion

3875.	The point (2,-3) lies in the quadrant :
Answer» FIRST SECOND THIRD Fourth Answer :D

Discussion

3876.	Mr. Mittal purchased two steel factories, one in India and other one in Malaysia for total rs 72 crores. Later on he sold the Indian factory at 16% profit and Malasian factory at 24% profit. Thus he gained a total profit of 19%. The selling price of Indian factory is :
Answer» 45 crore 52.2 crore 8.55 crore can not be determined Answer :B

Discussion

3877.	Six apples and six mangoes are to be distributed among ten boys so that each boy receives at least one fruit. Find the number of ways in which the fruits can be distributed.
Answer» 26250 22560 22330 none of these Answer :A

Discussion

3878.	If a, b, c are positive and a + b + c = 1, then find the least value of (1)/(a)+(2)/(b)+(3)/(c)
Answer» 9 18 27 6 Answer :B

Discussion

3879.	A right circular cylindrical tunnel of diameter 4 m and length 10 m is to be constructed from a sheet of iron . The area of the iron sheet required :
Answer» `(280)/pi` `40 pi` `80 pi` NONE of these Answer :B

Discussion

3880.	30 girls can finish a work in 40 days. After how many days should 10 girls leave the work so that it may be finished in 46 days, if all the 30 girls started the work?
Answer» 18 days 28 days 22 days 30 days Answer :B

Discussion

3881.	(3^(2146))/(17)find R.
Answer» 7 8 9 16 Answer :`=9`

Discussion

3882.	A man covers (2)/(15) of the total journey by train, (9)/(20) by bus and the remaining 10km on foot. His total journey (in km) is
Answer» 15.6 24 16.4 12.8 Answer :B

Discussion

3883.	Find the circumradius of Delta ABC in which angle A=45^(@) side a=8sqrt2.
Answer» ANSWER :8

Discussion

3884.	1205 + 2.5 = ?
Answer» ANSWER :D

Discussion

3885.	Ajuice centre requires 35 dozen guavas for 28 days. How many dozen guavas will it require for 36 days ?
Answer» 50 52 40 45 Solution :For 28 days `EQUIV 35` dozens of GUAVAS For 1 day `= 35/28` dozens Now 36 days `= 35/28 XX 36 = 45 ` dozens

Discussion

3886.	A tub has 300 litre alcohol and 60 litres of water, if ______ litres of mixture is taken from the tub and _____ litres of water is added to the ramaining mixutre, then the final amount of acohol in the tub becomes 205 litre morethan the amount of water in it. Which of the following intergral values given in the option are possible in the blanks in same order ?
Answer» only A and B only A,B and E only A and B only A,B and D Solution :Let x litres in REMOVED and y litre of water is ADDED to the MIXTURE Initially, Ratio of alcohol and water `5:1`. ATQ, `300-(5)/(6)A= 60 -(A)/(6)+B+205` `rArr 105 =2A +3B`.

Discussion

3887.	Find the condition that the roots of the equation x^3-px^2+qx-r=0 are in Harmonic Progression (HP).It is known that if any three terms a, b,c have a common difference and are in increasing or decreasing order, they are in Arithmetic Progression (AP) and their reciprocals 1/a,1/b,1/care in HP.
Answer» `27r^2-9pqr-2q^3=0` `27r^2-9pqr+2q^3=0` `27r^2-9pqr+3q^3=0` `27r^2-9pqr+3p^3=0` ANSWER :B

Discussion

3888.	AB and CD are two parallel lines and a transversal PO intersects AB and CD at M and N respectively. The bisector of the interior angles form a quadrilateral :
Answer» rectangle square parallelogram none of these Answer :A

Discussion

3889.	A box contains 7 red, 6 white and 4 blue balls. How many selection of three balls can be made so that all three are red balls?
Answer» 35 70 42 17 Answer :A

Discussion

3890.	The value of y for which the expression p = 1/((\|y - 1\| -3)) becomes undefined:
Answer» `{2,8}` `{-2, 4}` `{-1, 3}` `{1,2}` Answer :B

Discussion

3891.	A train enters into a tunnel AB at A and exits at B. A jackal is sitting at O in another by passing tunnel AOB, which is connected to AB at A and B, where OA is perpendicular to OB. A cat is sitting at P inside the tunnel AB making the shortest possible distance between O and P, such that AO : PB = 30 : 32. When a train before entering into the tunnel AB makes a whistle (or siren) somewhere before A, the jackal and cat run towards A, they meet with accident (with the train) at the entrance A. Further if the cat moves towards B instead of A it again meets with accident at the exit of the tunnel by the same train coming from the same direaction. The ratio of speeds of jackal is to train is :
Answer» `5:1` `3:5` `1:5` can't be determined Answer :C

Discussion

3892.	Four couples (husband and wife) decide to form a committee of four members. Find the number of different committees that can be formed in which no couple finds a place.A)
Answer» A. 8 B. 12 C. 16 D. none of these Answer :C

Discussion

3893.	There are three men and seven women taking a dance class. Number of different ways in which each man is paired with a woman partner, and the four remaining women are paired into two pairs each of two is
Answer» A. 105 B. 360 C. 630 D. 512 Answer :C

Discussion

3894.	If x=tan15^(@), then find the value of x^(2)+(1)/(x^(2)).
Answer» 16 15 14 18 Answer :C

Discussion

3895.	Nandlal purchased 20 dezen notebooks at Rs 48 per dozen. He sold 8 dozen at 10% profit and the remaining 12 dozen at 20% profit. What is his profit percentage in this transaction?
Answer» ANSWER :0.16

Discussion

3896.	If the radius of acylinder is increased by 25% , by how much per cent the height must be reduced , so that the volume of the cylinder remains the same .
Answer» 36 56 64 46 Answer :A

Discussion

3897.	A set 'S' contains first 50 elements of the form 2n , n in N. Further a subset 'P' of set 'S' is formed such that the product of any 3 elements of 'P' is not divisible by 16. Then maximum number of elements that 'p' can have is :
Answer» 12 13 25 none of (a),(B),(C) ANSWER :C

Discussion

3898.	A cricketer whose bowling average is 12.4 runs per wicket, takes 5 wickets for 26 runs and there by decreases his average by 0.4. Find out the number of wickets taken by him till the last match.
Answer» 75 81 85 79 Answer :C

Discussion

3899.	Find the remainder when (2)^(111) is divided by 9.
Answer» 4 5 7 8 Answer :d

Discussion

3900.	A two digit number is 4 times the sum of its digits and the unit digit is 3 more than the tens digit. The number is :
Answer» 52 61 63 36 Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

For a quadratic equation, the roots are(-1,3) and the minimum is 4 units, then the triangle formed by connecting the roots and the minimum value of y is

(4^(61)+4^(62)+4^(63)+4^(64))is divisible by3(b) 11 (c) 13 (d) 17

Saumya has pencil box of volume 60 cm^(3).What can be the maximum length of a pencil that can be accommodate in the box. Given that all the sides are integral ( in cm ) and different from each other ?

ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and angle ADC = 150degree. Then angle BAC is equal to:

The following pie chart shows the hourly distribution of all the major activities of a student. The percentage of time which he spends in school is :

The minimum and maximum values of (7-x)^2-8 are

A sum of money at compound interest amounts thrice of itself in 3 years. In how many years it will be 9 times of itself ?

Find out Factors of 100

Find the value of 107xx107-93xx93

Points A,B,C and D are concyclic. BC is the diameter and O is the centre of the circle, angleBAO=69^@ find angleDAO+angleDCO

Find the compound interest on Rs. 8000 at 8% per annum for 2 years, compounded half-yearly.

The weight of 5 members is measured in sequence andeach time the average weight is increased by 1 kg. Find the difference between weight of first & last member

In the given figure of circle AB is the diameter with length 20 cm and BC is 16 cm, then find the length of CO when CO is perpendicular on AB :

A shopkeeper purchased 200 bulbs for₹10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at ₹ 12 each. What will be the percentage profit?

Let A_0A_1A_2A_3A_4A_5 be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments A_0A_1,A_0A_2,A_0A_4 is

The simple interest on a sum of money is (8)/(25) of the sum. If the number of years is numerically half of the rate percent per annum, then find the rate percent per annum.

Pand Q earn in the ratio 2:1. They spend in the ratio 5: 3 and save in the ratio 4: 1. Find the monthly income of each if the total monthly savings of both P and Q together is Rs 5000?

Find the value of (243)^(".l6")xx(243)^(.04)

A process in which the system does not exchange heat with the surroundings is known as

A quadratic equation which attains its minimum-4 at x = 5 its y-intersect is 21, the largest root of this ’ equation must be less than

A, B and C can do a piece of work in 10, 20 and 25 days. How much minimum time should be required to complete this work if more than two persons can not work in a day and in any two consecutive days same pair can not work ?

x^(4)+4x^(3)+ax^(2)+bx+25 is a perfect square number, where a and b are positive real numbers then find the value of a + b.

If Rs. 500 amounts to the Rs. 725 at 9% simple interest in some time, what will Rs. 600 amount to at 11% in the same time?

A-(BuuC)is equal to

The point (2,-3) lies in the quadrant :

Mr. Mittal purchased two steel factories, one in India and other one in Malaysia for total rs 72 crores. Later on he sold the Indian factory at 16% profit and Malasian factory at 24% profit. Thus he gained a total profit of 19%. The selling price of Indian factory is :

Six apples and six mangoes are to be distributed among ten boys so that each boy receives at least one fruit. Find the number of ways in which the fruits can be distributed.

If a, b, c are positive and a + b + c = 1, then find the least value of (1)/(a)+(2)/(b)+(3)/(c)

A right circular cylindrical tunnel of diameter 4 m and length 10 m is to be constructed from a sheet of iron . The area of the iron sheet required :

30 girls can finish a work in 40 days. After how many days should 10 girls leave the work so that it may be finished in 46 days, if all the 30 girls started the work?

(3^(2146))/(17)find R.

A man covers (2)/(15) of the total journey by train, (9)/(20) by bus and the remaining 10km on foot. His total journey (in km) is

Find the circumradius of Delta ABC in which angle A=45^(@) side a=8sqrt2.

1205 + 2.5 = ?

Ajuice centre requires 35 dozen guavas for 28 days. How many dozen guavas will it require for 36 days ?

Find the condition that the roots of the equation x^3-px^2+qx-r=0 are in Harmonic Progression (HP).It is known that if any three terms a, b,c have a common difference and are in increasing or decreasing order, they are in Arithmetic Progression (AP) and their reciprocals 1/a,1/b,1/care in HP.

AB and CD are two parallel lines and a transversal PO intersects AB and CD at M and N respectively. The bisector of the interior angles form a quadrilateral :

A box contains 7 red, 6 white and 4 blue balls. How many selection of three balls can be made so that all three are red balls?

The value of y for which the expression p = 1/((|y - 1| -3)) becomes undefined:

Four couples (husband and wife) decide to form a committee of four members. Find the number of different committees that can be formed in which no couple finds a place.A)

There are three men and seven women taking a dance class. Number of different ways in which each man is paired with a woman partner, and the four remaining women are paired into two pairs each of two is

If x=tan15^(@), then find the value of x^(2)+(1)/(x^(2)).

Nandlal purchased 20 dezen notebooks at Rs 48 per dozen. He sold 8 dozen at 10% profit and the remaining 12 dozen at 20% profit. What is his profit percentage in this transaction?

If the radius of acylinder is increased by 25% , by how much per cent the height must be reduced , so that the volume of the cylinder remains the same .

A set 'S' contains first 50 elements of the form 2n , n in N. Further a subset 'P' of set 'S' is formed such that the product of any 3 elements of 'P' is not divisible by 16. Then maximum number of elements that 'p' can have is :

A cricketer whose bowling average is 12.4 runs per wicket, takes 5 wickets for 26 runs and there by decreases his average by 0.4. Find out the number of wickets taken by him till the last match.

Find the remainder when (2)^(111) is divided by 9.

A two digit number is 4 times the sum of its digits and the unit digit is 3 more than the tens digit. The number is :