8677 + Interview Questions in Maths in Class 14 Page 35 InterviewSolution

1701.	There are two quadratic equations.. Solve tiiese equations and find the relation between p and q.p^2-8p+15=0 q^2+8q+12=0
Answer» `pltq` `pgtq` `PLE Q` connotbe determined Answer :B

Discussion

1702.	What is the reflection of the point (5, -2) in the line x = -1 ?
Answer» `(-7,-2)` `(5, 0)` `(7, -2)` `(5,2)` ANSWER :A

Discussion

1703.	Find (x,y) if (3,2) (6,3) ,(x,y) and (6,5) are the vertices of a parallelogram :
Answer» a. (5,6) B. (6,5) C. (9,6) d. (9,5) ANSWER :C

Discussion

1704.	Find the degree ofthe polynomial 4x^(5)-2x^(2)y^(3)+6.
Answer» 3 4 5 6 Answer :C

Discussion

1705.	How many times does the graph of y=x^(3)-3x^(2)-x+3 intersects the x - axis :
Answer» 1 2 3 none of these Answer :C

Discussion

1706.	Simplify:-3/23 of 5/12 of 1104 = ?
Answer» a. 70 b. 60 c. 20 d. none of these Answer :C

Discussion

1707.	Simplify:- (2+√5)^2 = ? + 4√5
Answer» a. 9+4√5 b. 9 C. 2√5 d. 9+2√5 Answer :C

Discussion

1708.	A man sold an article at a loss of 20%. If he sells the article for Rs 45 more he would have got a profit of 10%. The cost price of the article is
Answer» 150 140 120 60

Discussion

1709.	If \|x + y\| = \|x - y\| then the number of ordered pairs of (x , y) which satisfy the given condition is :
Answer» a. 1 b. 4 C. infinite d. NONE of these ANSWER :C

Discussion

1710.	An agent gets 5%commission on all sales up to Rs.10000 and 4%commission on all sales exceeding this amount. He gives Rs. 31100 from his sales to his company after deducting his commission. Find his total sales.
Answer» ANSWER :RS. 32500

Discussion

1711.	If the graph intersects Y-axis below the X-axis then which of the following can be valid?
Answer» ROOTS are REAL and PARABOLA OPENS downward Roots are non-real and parabola opens UPWARD Roots are real only If the roots are real then parabola opens upward and if the roots are non-real then parabola opens downward Answer :D

Discussion

1712.	For (P,Q)gt0 the number 340 PQQ is divisible by both 3 and 8 then the total possible values of (P,Q) is :
Answer» 2 3 6 none of these Answer :C

Discussion

1713.	Two trains of same length take 6 s and 9 s,respectively to cross a pole .If both the trains are running in the same direction, then how long will they take to cross each other?
Answer» a. 30s B. 36s c. 40s d. 42 s Answer :B

Discussion

1714.	If 6 objects are distributed at random among 6 persons, the probability that atleast one of them will not get any thing is :
Answer» `6.(6!)` `(5^6)/(6!)` `(6^6 -6!)/(6^6)` NONE of these Answer :C

Discussion

1715.	The number of solutions of the equation log_((2x + 3)) ( 6x^(2) + 23 x + 21) + log_((3x + 7)) (4x^(2) + 12 x + 9) = 4is
Answer» (-8,5) `-1/4` only `-1,-1/4` `-1/4,-2` ANSWER :B

Discussion

1716.	find thenumberof waysin which12 mangoesmay beequallydivided among3 boys .
Answer» 57750 34650 23450 12345 Answer :B

Discussion

1717.	Mr. patel walked 6 km to reach the station from his house, then he boarded a train whose average speed was 60 km/hr and thus he reached his destination. In this way he took of 3 hours. If the average speed of the entire journey was 32 km/hr then the average speed of walking is :
Answer» 3 km/hr 4.5 km/hr 4 km/hr none of these Answer :C

Discussion

1718.	How many terms of the series 20 + 16 + 12 amounts to 48?
Answer» 3 5 8 both a and c Answer :D

Discussion

1719.	7 sisters dine at a round table. They dine together till each of them dine with different neighbours i.e., they do not like to done dine with same neighbours in any two arrangements. In a year how many days they dine together?
Answer» 180 504 720 360 Answer :D

Discussion

1720.	Express:15 seconds as a percentage of 1 hour.
Answer» A) 0.4167% B) 0.234% C) 0.675% D) 1% SOLUTION :`0.4166%`

Discussion

1721.	Two circlestouch externally at a point P. From apoint Ton thetangent at P, tangents T Qand T Rare drawnto the circles with points of contact Qand Rrespectively.Prove that T Q=T R.(FIGURE)
Answer» TR `(1)/(2)` TP `(1)/(2)` TR NONE of these Answer :A

Discussion

1722.	Two chords of length 20 cm and 24 cm are drawn perpendicular to each other in a circle of radius 15 cm. What is the distance be tween the points of intersection of these chords (in cm) from the centre of the circle?
Answer» `sqrt114` `sqrt182` `sqrt206` `sqrt218` ANSWER :C

Discussion

1723.	If m+ (1)/(m-2)=0, find m^(5) + m^(4) + m^(3) + m^(2)+ m+1= ?
Answer» ANSWER :6

Discussion

1724.	A cube of 11 cm edge is immersed completelyin a rectangular vessel container water. If the dimensions of base are 15 cmand 12 cm . Find the rise in water level in the vessel :
Answer» 6.85 cm 7 cm 7.31 cm 7.39 cm Answer :D

Discussion

1725.	Find the angle which is three times of its complementary angle.
Answer» ANSWER :67.5

Discussion

1726.	Akkal and Bakkal are running on a circular track of radius 175 meters. Akkal can complete a round in 100 seconds and the speed of Bakkal is twice the speed of Akkal. They started simultaneously towards each other from two points 350 metres diametrically opposite on the circular path. If they first meet at a point they called it love point, which is between the two points P and Q from where they have started their race,after how much time from the start do they meet at love point for the third time?
Answer» 218 2/5 s 216 2/3s 221 s none of the above Answer :B

Discussion

1727.	Let a_n be the nth term of an A.P. and a_7=22, trhen the value of the common difference (d) that would make a_3:a_7:a_(11) greatest is:
Answer» 4 2 0 7 Answer :C

Discussion

1728.	Find the LCM of 1/3 , 2/9 ,5/9 and 4/(27) .
Answer» `2/3` `5/2` `(19)/(45)` `(81)/(17)` Answer :B

Discussion

1729.	If sum of the roots is -2 and product of the roots is -15,
Answer» 1.both the ROOTS lie on the right-side of the V-axis 2.both the roots lie on the left-side of the Z-axis 3.roots lie on both the SIDES of thq X-axis 4.one root is zero and ANOTHER root is IMAGINARY number. Answer :C

Discussion

1730.	A man wants to purchase of T.V. of Rs. 9000. He paid Rs 2200 at the time of purchasing and Rest amount will be paid is 5 monthly installment of Rs. 1400. Find Rate of interest.
Answer» ANSWER :0.12

Discussion

1731.	a :bfor thegreatestpossiblevalueof 5 - ( 3a - b)""^2is
Answer» `3 :5` `1 :5` `1 :3` `3 :1` ANSWER :C

Discussion

1732.	The average revenues of 11 consecutive years of a company is rs.77 lakhs. if the average of first 6 years is rs.72 lakhs and that of last 6 years is rs.84 lakhs. What is the revenue for the sisth year.
Answer» a. 91lakhs b. 87lakhs C. 89lakhs d.none of these ANSWER :C

Discussion

1733.	Nikita boutgh 30kg wheat at the rate of 8.9 rupees. per kg and 40kg at the rate of 9.9 rupees per kg and sold whole stock at the rate of 9.5 rupees per kg. Find profit or loss?
Answer» ANSWER :RS 2.

Discussion

1734.	a, b, c, d, e are five consecutive odd number. Find the average of all this number in terms of a.
Answer» ANSWER :a + 4

Discussion

1735.	Find the smallestnumber which is divided by 2,3,4,5,6and leaves remainder 1 in each case but number is exactly divisible by 7.
Answer» ANSWER :`=301`

Discussion

1736.	A sum of money becomes 5 times of itself in 5 years at simple interest. In what time it will becomes 7 times of itself.
Answer» ANSWER :`7(1)/(2) `YEARS

Discussion

1737.	C is a point on the minor arc AB of the circle with centre O. Given angle ACB = x^(@) and angle AOB = y^(@). Calculate x, if ACBO is a parallelogram.
Answer» `120^(@)` `180^(@)` `140^(@)` `110^(@)` ANSWER :A

Discussion

1738.	6888.009 - 487.999 - 87.989 = ?
Answer» a. 6000 b. 6570 c. 6430 d. 6310 Answer :D

Discussion

1739.	Due to 50% increase in the price of rice. We purchased 5kg less rice with the same amount of Rs. 60. What is the new price of rice ?
Answer» ₹4.66 ₹5 ₹4 ₹6 Answer :D

Discussion

1740.	A certain work is completed by A and B together in 10 days. If A had worked at twice the speed and B had worked at half his speed it would have taken them 8 days to finish the work. Find the time in which B can alone finish the work.
Answer» 20 days 24 days 30 days 32 days Solution :Given, A certain work is completed by A and B together in 10 days. LET the number of days taken by A ALONE be 'a' and by B alone be 'b' In 1 day, A COMPLETES `1//a` part and B completes `1//b` part. `1//a+ 1//b + 1//10 -----(1)` Now, if A had worked at twice the speed and B had worked at half his speed it would have taken them 8 days to finish the work. thus, `2//a + 1//2b=1//8 -----(2)` `2xx(1)- (2)` `rArr 2//b - 1//2b = 1//5 - 1//8` `rArr 3//2b = 3//40` `rArr b = 20` days

Discussion

1741.	The ratio of number of balls in bags p and q is 2 : 3. Five balls are taken from bag q and are dropped in bag p. Number of balls are equal in each bag now. Find the number of balls in each bag now.
Answer» 45 20 30 25 Answer :D

Discussion

1742.	The range of the function f(x)= (x^2-x+1)/(x^2+x+1) where x in R, is
Answer» `XLE0` `1/3lekle3` `kge5` NONE of these Answer :B

Discussion

1743.	An n sided polygon has 'n' diagonals, then the value ofn is :
Answer» 4 6 7 5 Answer :D

Discussion

1744.	A container is filled with the mixture of milk and water. The ratio of milk and water is same. Bobby and Sunny increases the concentration to 60%. Bobby makes it by adding the milk and Sunny makes it by replacing the mixture with milk. What is the percentage of milk added by Bobby to that of milk replaced by Sunny ,
Answer» `100%` `120%` `133.33%` NONE of these Answer :D

Discussion

1745.	Two towers of the same height stand on opposite sides of a road 100 m wide. At a point on the road between the towers. The elevations of the towers are 30^(@) and 45^(@). Find the height of the towers and the position of the point from the nearest tower :
Answer» 36.6m and 63.4m 63.3m and 63.4m 66.3m and 63.4m 36.6m and 86.4m Answer :A

Discussion

1746.	A and B are two partners and they have inversted ₹ 54,000 and ₹90,000 in a business. After one year A received ₹ 1800 as his share of profit out of total profit of ₹ 3600 including his certain commission on total profit, since he is a working partner and rest profit is received by B. What is the commission of A as a percentage of the total profit?
Answer» `20%` `10%` `5%` `25%` ANSWER :A

Discussion

1747.	A piece of work can be completed by 10 men and 6 women in 18 days. Men works 9 hours per day while women works 7.5 hours per day. Per hour efficiency of a woman is (2)/(3)rd of a man's efficiency. In how many days 10 men and 9 women complete the work?
Answer» 16 DAYS 20 days 30 days 25 days Answer :A

Discussion

1748.	Eighteen guests have to be seated half on each side of a long table. Four particular guests desire to sit on one particular side and three others on other side. Determine the number of ways in which the sitting, arrangements can be made.
Answer» a. `18!` b. `462 xx (9!)^2` c. `(9!)^2` d. `7!""xx (9!)^2` Answer :B

Discussion

1749.	Amrit invests 30% of his monthly salary on house rent and 20% of remaining in food. Again, he invested 25% of the remaining in mutual fund. If he invested rs. 5600 in mutual fund and food then his monthly salary is:
Answer» a. 20,000 b. 25000 c. 30000 d.none of these Answer :A

Discussion

1750.	(a^(4)+5a^(3)+6a^(2)) is equal to :
Answer» `a(a^2+3)(a+2)` `a(a+3)(a^2+2)` `a^2(a+3)(a+2)` `a^2(a_2)(a-3)` ANSWER :C

Discussion

Explore topic-wise InterviewSolutions in .

There are two quadratic equations.. Solve tiiese equations and find the relation between p and q.p^2-8p+15=0 q^2+8q+12=0

What is the reflection of the point (5, -2) in the line x = -1 ?

Find (x,y) if (3,2) (6,3) ,(x,y) and (6,5) are the vertices of a parallelogram :

Find the degree ofthe polynomial 4x^(5)-2x^(2)y^(3)+6.

How many times does the graph of y=x^(3)-3x^(2)-x+3 intersects the x - axis :

Simplify:-3/23 of 5/12 of 1104 = ?

Simplify:- (2+√5)^2 = ? + 4√5

A man sold an article at a loss of 20%. If he sells the article for Rs 45 more he would have got a profit of 10%. The cost price of the article is

If |x + y| = |x - y| then the number of ordered pairs of (x , y) which satisfy the given condition is :

An agent gets 5%commission on all sales up to Rs.10000 and 4%commission on all sales exceeding this amount. He gives Rs. 31100 from his sales to his company after deducting his commission. Find his total sales.

If the graph intersects Y-axis below the X-axis then which of the following can be valid?

For (P,Q)gt0 the number 340 PQQ is divisible by both 3 and 8 then the total possible values of (P,Q) is :

Two trains of same length take 6 s and 9 s,respectively to cross a pole .If both the trains are running in the same direction, then how long will they take to cross each other?

If 6 objects are distributed at random among 6 persons, the probability that atleast one of them will not get any thing is :

The number of solutions of the equation log_((2x + 3)) ( 6x^(2) + 23 x + 21) + log_((3x + 7)) (4x^(2) + 12 x + 9) = 4is

find thenumberof waysin which12 mangoesmay beequallydivided among3 boys .

Mr. patel walked 6 km to reach the station from his house, then he boarded a train whose average speed was 60 km/hr and thus he reached his destination. In this way he took of 3 hours. If the average speed of the entire journey was 32 km/hr then the average speed of walking is :

How many terms of the series 20 + 16 + 12 amounts to 48?

7 sisters dine at a round table. They dine together till each of them dine with different neighbours i.e., they do not like to done dine with same neighbours in any two arrangements. In a year how many days they dine together?

Express:15 seconds as a percentage of 1 hour.

Two circlestouch externally at a point P. From apoint Ton thetangent at P, tangents T Qand T Rare drawnto the circles with points of contact Qand Rrespectively.Prove that T Q=T R.(FIGURE)

Two chords of length 20 cm and 24 cm are drawn perpendicular to each other in a circle of radius 15 cm. What is the distance be tween the points of intersection of these chords (in cm) from the centre of the circle?

If m+ (1)/(m-2)=0, find m^(5) + m^(4) + m^(3) + m^(2)+ m+1= ?

A cube of 11 cm edge is immersed completelyin a rectangular vessel container water. If the dimensions of base are 15 cmand 12 cm . Find the rise in water level in the vessel :

Find the angle which is three times of its complementary angle.

Let a_n be the nth term of an A.P. and a_7=22, trhen the value of the common difference (d) that would make a_3:a_7:a_(11) greatest is:

Find the LCM of 1/3 , 2/9 ,5/9 and 4/(27) .

If sum of the roots is -2 and product of the roots is -15,

A man wants to purchase of T.V. of Rs. 9000. He paid Rs 2200 at the time of purchasing and Rest amount will be paid is 5 monthly installment of Rs. 1400. Find Rate of interest.

a :bfor thegreatestpossiblevalueof 5 - ( 3a - b)""^2is

The average revenues of 11 consecutive years of a company is rs.77 lakhs. if the average of first 6 years is rs.72 lakhs and that of last 6 years is rs.84 lakhs. What is the revenue for the sisth year.

Nikita boutgh 30kg wheat at the rate of 8.9 rupees. per kg and 40kg at the rate of 9.9 rupees per kg and sold whole stock at the rate of 9.5 rupees per kg. Find profit or loss?

a, b, c, d, e are five consecutive odd number. Find the average of all this number in terms of a.

Find the smallestnumber which is divided by 2,3,4,5,6and leaves remainder 1 in each case but number is exactly divisible by 7.

A sum of money becomes 5 times of itself in 5 years at simple interest. In what time it will becomes 7 times of itself.

C is a point on the minor arc AB of the circle with centre O. Given angle ACB = x^(@) and angle AOB = y^(@). Calculate x, if ACBO is a parallelogram.

6888.009 - 487.999 - 87.989 = ?

Due to 50% increase in the price of rice. We purchased 5kg less rice with the same amount of Rs. 60. What is the new price of rice ?

A certain work is completed by A and B together in 10 days. If A had worked at twice the speed and B had worked at half his speed it would have taken them 8 days to finish the work. Find the time in which B can alone finish the work.

The ratio of number of balls in bags p and q is 2 : 3. Five balls are taken from bag q and are dropped in bag p. Number of balls are equal in each bag now. Find the number of balls in each bag now.

The range of the function f(x)= (x^2-x+1)/(x^2+x+1) where x in R, is

An n sided polygon has 'n' diagonals, then the value ofn is :

Two towers of the same height stand on opposite sides of a road 100 m wide. At a point on the road between the towers. The elevations of the towers are 30^(@) and 45^(@). Find the height of the towers and the position of the point from the nearest tower :

A piece of work can be completed by 10 men and 6 women in 18 days. Men works 9 hours per day while women works 7.5 hours per day. Per hour efficiency of a woman is (2)/(3)rd of a man's efficiency. In how many days 10 men and 9 women complete the work?

Eighteen guests have to be seated half on each side of a long table. Four particular guests desire to sit on one particular side and three others on other side. Determine the number of ways in which the sitting, arrangements can be made.

Amrit invests 30% of his monthly salary on house rent and 20% of remaining in food. Again, he invested 25% of the remaining in mutual fund. If he invested rs. 5600 in mutual fund and food then his monthly salary is:

(a^(4)+5a^(3)+6a^(2)) is equal to :