8677 + Interview Questions in Maths in Class 14 Page 41 InterviewSolution

2001.	A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) Whgat is the value D(1, 2, C(0, 1, 2))?
Answer» 1 2 3 4 Answer :A

Discussion

2002.	If the quadratic graph opens downward, then the roots are always
Answer» imagiriaiy real equal cannot be determined Answer :D

Discussion

2003.	There are 4 balls of different colours and 4 boxes of same colours as those of the balls. The number of ways in which the balls, one in each box, could be placed such that a ball does not go to box of its own colour is
Answer» a. 3 B. 6 c. 9 d. none of these Answer :B

Discussion

2004.	For the positive integers a, b, c find the minimum value of (-1)^a + (-1)^b + (-1)^c + (-1)^d, If a + b + c + d = 1947
Answer» A)-1 B)-2 C)-3 D)-4 Answer :B

Discussion

2005.	If the coordinates of the mid points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) . Find its centroid :
Answer» (3, 2/3) (2, 3/4) (2, 2/3) NONE of these Answer :C

Discussion

2006.	Find the value of i^(63).
Answer» SOLUTION :`i^63=(i^4)^15xxi^3=i^3=-i`

Discussion

2007.	Connie has a number of gold coin, all of different weight. She gives the 24 lightest coins, which weigh 45% of the total weight, to Brennan. She gives the 13 heaviest coins, which weigh 26% of the total weight, to Maya. She gives the rest of the coins to Blair. How many coins did Blair receive.
Answer» 15 16 17 18 Answer :15

Discussion

2008.	Let x, y in N and 7x+12y=220. The number of solutions:
Answer» 1 2 3 infinitely many Answer :C

Discussion

2009.	(cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?
Answer» 1 2 3 `-1` ANSWER :A

Discussion

2010.	A vessel contains 2.5 liters of water and 10 liters of milk 20% of the contents of the vessel are removed. To the remaining contents , x litres of water is added to reverse the ratio of water and milk. Then y liter of milk is added again to reverse the ratio of wate nad milk. Find y.
Answer» 100 110 120 130 Solution :After `20%` of the contents of the vessel are REMOVED. Remaining contents `=(80)/(100) (12.5)=10` litres. Ratio of water and milk in it `=1:4`. ` `therefore` It contents `(4)/(5)(10)=8` litres of milk and 2 litres of water. To reverse the ratio, 2 litres of water MUST be made 32. `therefore x=30` litres of water must be ADDED. To reverse this ratio again 8 litres of milk must be made `4(32)=128` litres. `therefore y=128-8=120` litres of milk must be added.

Discussion

2011.	If abc = sqrt((a+2)(b+3))/(c+1), then the value of (6153) is :
Answer» 6 3 4 can't be determined Answer :B

Discussion

2012.	The circumference of circular field is 14 m then find out the area?
Answer» ANSWER :C

Discussion

2013.	Evaluate the following : (18/25)^2
Answer»

Discussion

2014.	The midpoints of alternating sides of a regular octagon are joined to form a square. If each side of the octagon is a, find each side of the square.
Answer» `(2+sqrt2)a/2` `(4+sqrt2)a/2` `2(1+sqrt2)a/sqrt2` `(2+sqrt2)a` ANSWER :A

Discussion

2015.	The sum of all the factors of 45000 which are exactly the multiples of 10 is :
Answer» 152295 141960 600 none of these Answer :B

Discussion

2016.	2 men or 5 women or 3 boys can do a work in 10 days. Then in how many days will 1 man, 2 women and 4 boys do the work?
Answer» ANSWER :`4 (32)/(67)`

Discussion

2017.	ABCD is a cyclic quadrilateral whose diagonals intersect at E. If angleBEA = 80^@, angleDBC = 60^@ and angleBCD = 40^@, which of the following statements is true?
Answer» BD BISECTS `ANGLE`ADC AB=BC DA=DC AC bisects `angle`BCD Answer :D

Discussion

2018.	Find the remainder when (3)^(2140) is divided by 17.
Answer» 13 4 10 7 Answer :B

Discussion

2019.	Find the remainder when x^2-6x+3 is divided by (x+2)
Answer» Solution : LET ` F(x)=x^2-6x+5` thus by remainder THEOREM the remainder when f(x) is divided by (x+2) [x-(-2)] is f(-2) f(-2)=(-2)^2-6,(-2)+5=4+12+5=21` Thus the remainder is 21

Discussion

2020.	A, B and C are three partners in a business. A, whose money has been used for 4 months, Claims 1/8 of the profit, B whose money has been used for 6 months, claims 1/3 of the profit. C had invested Rs. 1560 for 8 months. How much money did A and B contribute?
Answer» ANSWER :RS. 720, Rs. 180

Discussion

2021.	An amount is invested in a bank at compound rate of interest . The total amount, including interest, after first and third year is X 1200 and X 1587 , respecitvely. What is the rate of interest ?
Answer» 1 39 12 15 Answer :D

Discussion

2022.	Two arcs of two different circle are of equal lengths. If these arcs subtends angles of 45^(@) and 60^(@) at the centre of the circles. Find the ratio of the radii of the two circles.
Answer» SOLUTION :`45^@=pi/4` RAD and `60^@=pi/3` rad LET `r_1` and `r_2` be the radii of the two circles and be the length of each arc. `therefore s=r_1pi/4=r_2pi/3 (because s=r THETA)` `rArr r_1/r_2=4/3` Hence the required ratio of radii =4:3

Discussion

2023.	I.2x^(2) + 15x + 28 = 0""II. 2y^(2) + 13y + 21 = 0
Answer» if`x gt y` if`x ge y` if `x lt y` if ` x le y` SOLUTION :I. `2x^(2) + 15x+28 = 0` ` 2x^(2) + 8x + 7x+28 = 0` ` 2x(x+4)+7(x+4) = 0` ` (2x+7) (x+4) = 0` ` x = (- 7/2) , -4` II. ` 2y^(2) + 13y+21 = 0` ` 2y^(2) + 7y+6y + 21 = 0` ` y(2y+7)+3(2y+7) = 0` ` (y+3)(2y+7) = 0` ` y =- , (-7)/2` ` x le y`

Discussion

2024.	If log_(x)a,a^(x//2) and log_(a)x are in G.P, then x is equal to:
Answer» `log_(a)(log_(B)a)` `log_(a)(log_(E)a)-log_(e)(log_(e)b)` `-log_(e)(log_(a)b)` both (a) and (b) ANSWER :D

Discussion

2025.	How many times minute-hand coincides with hour-hand in 12 hours?
Answer» ANSWER :11 TIMES

Discussion

2026.	Delta ABC is a right angle triangle (right angled at B), BD is perpendicular to AC. If AC=16 cm BC=9 cm, find the length of CD.
Answer» ANSWER :`81//16`

Discussion

2027.	find the equation of line having slope 5 and length of (3)/(2) on y Axis.
Answer» ANSWER :`10x-2y+3=0`

Discussion

2028.	Approximate value of 0.4✕0.4 + 0.04✕0.04 + 0.04 is
Answer» 0.46 0.16 0.38 0.20 Answer :B

Discussion

2029.	If m+ (1)/(m+2)= 0 find (m+2)^(112) + (1)/((m+2)^(112))= ?
Answer» ANSWER :2

Discussion

2030.	If the expression px^3 - qx^2 - 7x - 6 is completely divisible by x^2-x- 6, what are the values of p and q respectively?
Answer» 0,1 1,0 2,1 1,2 Answer :B

Discussion

2031.	Find maximum number of 3 digit exactly divisible by2,3,9,11.
Answer» ANSWER :`=990`

Discussion

2032.	In a class of 39 students the ratio of boys and girls is 2 : 1. Radhika ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Radhika ?
Answer» A) 9 B) 17 C) 11 D) 15 Answer :A

Discussion

2033.	The sum of all the terms of the A.P.7,10,13,... l is 1242. where lis the last term of the A.P. Find the value of l.
Answer» 67 79 85 102 Answer :C

Discussion

2034.	If simple interest on a certain sum of money for4 years at 5% p.a. is same as the simple interest on Rs. 560 for 10 years at the rate of 4% p.a. then find the sum of money.
Answer» ANSWER :RS. 1120

Discussion

2035.	Find the value of x in sqrt(x+2sqrt(x+2sqrt(x+2sqrt(3x))))=x.
Answer» 3 2 4 6 Answer :B

Discussion

2036.	A covers 1/4th of his journey at 20 km/h and 1/3rd of the rest at 25 km/h and half of the rest at 30 km/h and rest at the speed of 40 km/h.What is the average speed of A?
Answer» 13(78/89)km/h 12 km/h 26(86/89)km/h 28 km/h Answer :C

Discussion

2037.	Tow boy can do a piece of work in ten days. Three girls can do the same work in five days. In how many days can a boy and a girl together do the work?
Answer» 16 days ` 8 4/7 `days 12 days `5 1/2` days Solution :GIVEN that two boys can do the work in ten days, three girls can do it in five days `THEREFORE` One boy can do the work in `2xx10=20` days One girl can do the work in `3xx 5 = 15` days `therefore` Number of days taken by a boy and a girl working TOGETHER to finish the work ` =( 1)/((1)/(15)+(1)/(20)) =(60)/(4+3) = (60)/(7) = 8 (4)/(7)` days

Discussion

2038.	What percent of 1 day is 36 minutes?
Answer» a. 25% b.2.5% c.3.6% d.0.25% ANSWER :A

Discussion

2039.	From 2000 onwards, till 2003 the price of computers increased every year by 10% .After that due to government subsidy the price of computers decreases every year by 10% .The price of a computer in 2006 will be approx , how much percent less than the price in 2000 if the same pattern of price is continued:
Answer» 2 3 4 none of these Answer :B

Discussion

2040.	The minute hand of a clock overtake the hour hand at intervals of 63 min of the correct time how much does a clock eain or loss in a dav
Answer» ANSWER :`56(8)/(77)` MIN

Discussion

2041.	ABC is a triangle in which ∠A=90∘, AN⊥BC, BC=12 cm and AC=5 cm. Find the ratio of the areas of △ANC and △ABC.
Answer» 125:44 25:144 144:25 12:5 Answer :C

Discussion

2042.	If the circumference of a circle is increased by 20%, then its area will be increased by:
Answer» `44%` `32%` `40%` NONE of these Answer :A

Discussion

2043.	Findlength of AD in Delta ABCif AB = 5 AC = 6 and BC = 8
Answer» ANSWER :`SQRT((29)/(2))`

Discussion

2044.	If the roots of a quadratic equation are real and unequal, which one of the following is necessarily true?
Answer» `DLT0` D = 0 `DGT0` `Dge0` ANSWER :C

Discussion

2045.	A, B and C are three points on a circle. The tangent at C meets BA extended at T. Given, angleATC = 36^@ and angle ACT= 48^@, the angle subtended by AB at the centre of the circle is
Answer» `84^@` `48^@` `96^@` `72^@` ANSWER :C

Discussion

2046.	What will be the day on 8th September 1998?
Answer» a) MONDAY b) Tuesday C) WEDNESDAY d) Friday Answer :C

Discussion

2047.	Find the area of triangle formed by 3 lines, y=x""x+y=2 and x Axis
Answer» ANSWER :1 UNIT

Discussion

2048.	How much does a watch gain per day if its hands coincide every 64 min
Answer» 37 MIN `32(8)/(11)` 31 min none of these Answer :B

Discussion

2049.	The sum of all the interior angles of a regular polygon is four times the sum of its exterior angles. The polygon is :
Answer» hexagon triangle decagon nonagon Answer :C

Discussion

2050.	If(x-7) and (x-17) are the factors of a quadratic equation then which one of the following is the：correct equation?
Answer» `x^2-10x+24=0` `x^2-33x+119=0` `x^2-24x-119=0` `x^2-24x+119=0` ANSWER :D

Discussion

Explore topic-wise InterviewSolutions in .

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) Whgat is the value D(1, 2, C(0, 1, 2))?

If the quadratic graph opens downward, then the roots are always

There are 4 balls of different colours and 4 boxes of same colours as those of the balls. The number of ways in which the balls, one in each box, could be placed such that a ball does not go to box of its own colour is

For the positive integers a, b, c find the minimum value of (-1)^a + (-1)^b + (-1)^c + (-1)^d, If a + b + c + d = 1947

If the coordinates of the mid points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) . Find its centroid :

Find the value of i^(63).

Connie has a number of gold coin, all of different weight. She gives the 24 lightest coins, which weigh 45% of the total weight, to Brennan. She gives the 13 heaviest coins, which weigh 26% of the total weight, to Maya. She gives the rest of the coins to Blair. How many coins did Blair receive.

Let x, y in N and 7x+12y=220. The number of solutions:

(cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?

A vessel contains 2.5 liters of water and 10 liters of milk 20% of the contents of the vessel are removed. To the remaining contents , x litres of water is added to reverse the ratio of water and milk. Then y liter of milk is added again to reverse the ratio of wate nad milk. Find y.

If a*b*c = sqrt((a+2)(b+3))/(c+1), then the value of (6*15*3) is :

The circumference of circular field is 14 m then find out the area?

Evaluate the following : (18/25)^2

The midpoints of alternating sides of a regular octagon are joined to form a square. If each side of the octagon is a, find each side of the square.

The sum of all the factors of 45000 which are exactly the multiples of 10 is :

2 men or 5 women or 3 boys can do a work in 10 days. Then in how many days will 1 man, 2 women and 4 boys do the work?

ABCD is a cyclic quadrilateral whose diagonals intersect at E. If angleBEA = 80^@, angleDBC = 60^@ and angleBCD = 40^@, which of the following statements is true?

Find the remainder when (3)^(2140) is divided by 17.

Find the remainder when x^2-6x+3 is divided by (x+2)

A, B and C are three partners in a business. A, whose money has been used for 4 months, Claims 1/8 of the profit, B whose money has been used for 6 months, claims 1/3 of the profit. C had invested Rs. 1560 for 8 months. How much money did A and B contribute?

An amount is invested in a bank at compound rate of interest . The total amount, including interest, after first and third year is X 1200 and X 1587 , respecitvely. What is the rate of interest ?

Two arcs of two different circle are of equal lengths. If these arcs subtends angles of 45^(@) and 60^(@) at the centre of the circles. Find the ratio of the radii of the two circles.

I.2x^(2) + 15x + 28 = 0""II. 2y^(2) + 13y + 21 = 0

If log_(x)a,a^(x//2) and log_(a)x are in G.P, then x is equal to:

How many times minute-hand coincides with hour-hand in 12 hours?

Delta ABC is a right angle triangle (right angled at B), BD is perpendicular to AC. If AC=16 cm BC=9 cm, find the length of CD.

find the equation of line having slope 5 and length of (3)/(2) on y Axis.

Approximate value of 0.4✕0.4 + 0.04✕0.04 + 0.04 is

If m+ (1)/(m+2)= 0 find (m+2)^(112) + (1)/((m+2)^(112))= ?

If the expression px^3 - qx^2 - 7x - 6 is completely divisible by x^2-x- 6, what are the values of p and q respectively?

Find maximum number of 3 digit exactly divisible by2,3,9,11.

In a class of 39 students the ratio of boys and girls is 2 : 1. Radhika ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Radhika ?

The sum of all the terms of the A.P.7,10,13,... l is 1242. where lis the last term of the A.P. Find the value of l.

If simple interest on a certain sum of money for4 years at 5% p.a. is same as the simple interest on Rs. 560 for 10 years at the rate of 4% p.a. then find the sum of money.

Find the value of x in sqrt(x+2sqrt(x+2sqrt(x+2sqrt(3x))))=x.

A covers 1/4th of his journey at 20 km/h and 1/3rd of the rest at 25 km/h and half of the rest at 30 km/h and rest at the speed of 40 km/h.What is the average speed of A?

Tow boy can do a piece of work in ten days. Three girls can do the same work in five days. In how many days can a boy and a girl together do the work?

What percent of 1 day is 36 minutes?

The minute hand of a clock overtake the hour hand at intervals of 63 min of the correct time how much does a clock eain or loss in a dav

ABC is a triangle in which ∠A=90∘, AN⊥BC, BC=12 cm and AC=5 cm. Find the ratio of the areas of △ANC and △ABC.

If the circumference of a circle is increased by 20%, then its area will be increased by:

Findlength of AD in Delta ABCif AB = 5 AC = 6 and BC = 8

If the roots of a quadratic equation are real and unequal, which one of the following is necessarily true?

A, B and C are three points on a circle. The tangent at C meets BA extended at T. Given, angleATC = 36^@ and angle ACT= 48^@, the angle subtended by AB at the centre of the circle is

What will be the day on 8th September 1998?

Find the area of triangle formed by 3 lines, y=x""x+y=2 and x Axis

How much does a watch gain per day if its hands coincide every 64 min

The sum of all the interior angles of a regular polygon is four times the sum of its exterior angles. The polygon is :

If(x-7) and (x-17) are the factors of a quadratic equation then which one of the following is the：correct equation?

If abc = sqrt((a+2)(b+3))/(c+1), then the value of (6153) is :