8677 + Interview Questions in Maths in Class 14 Page 32 InterviewSolution

1551.	I and O are incentre and circumcentre of a Delta ABC. AI is produced and it intersects the circumcircle at D.angle ABC=x, angle BID=y &angle BOD=z. Find (z+x)/(y)
Answer» ANSWER :`2 = (X + 2)/( y)`

Discussion

1552.	A salesman is allowed 5.5 %commission on the sales made by him up to Rs. 10000 and additional bonus of 0.5 % on sale over Rs 10000. If his total earnings are Rs. 1990. Find the total sales made by him?
Answer» ANSWER : RS. 34000

Discussion

1553.	If p=x^(1//3)+x^(-1//3) then p^3-3p is equal to :
Answer» 3 `1/2(x+x^(-1))` `x+x^(-1)` `2(x+x^(-1))` ANSWER :C

Discussion

1554.	What is the simplified value of(tan A)/(1 - cot A) + (cot A)/( 1 - tan A) - (2)/( sin 2 A) ?
Answer» `-1` 0 1 2 Answer :C

Discussion

1555.	Amit is as much younger to Barkha as he is older to chaman. If the sum of the ages of Barkha and chaman is 48 years. What is the present age of Amit?
Answer» 18 years 36 years 24 years 28 years Answer :C

Discussion

1556.	The third term of a G.P is 4 the product of first five term is:
Answer» `4^3` `4^4` `4^5` NONE of these Answer :C

Discussion

1557.	In two alloys the ratio of Iron and copper is 4:3 and 6:1 respectively. If 14 kg of the first alloy and 42 kg of the second alloy are mixed together to form a new alloy, then what will be the ratio of copper to iron in the new alloy:
Answer» `11:3` `11:8` `8:11` NONE of these Answer :D

Discussion

1558.	A man can row against the current three-fourth of a kilometre in 15 min and returns same distance in10 min, then ratio of his speed to that of current is
Answer» `3 :5` `5 :3` `1 :5` `5 :1` ANSWER :D

Discussion

1559.	What is the maximum value of (12)C_x for any natural number x ?
Answer» 6 7 8 4 Answer :A

Discussion

1560.	A sum of Rs 36.90 is made up of 180 coins which are either 10 paise coins or 25 paise coins. Find the number of 10 paise coins.
Answer» 50 52 51 54 Answer :D

Discussion

1561.	If a circle with radius of 10 cm and two parallel chords 16 cm and 12 cm and they are on the same side of the centre of the circle, then the distance between the two parallel chords is.
Answer» 5 CM 8 cm 2 cm 3 cm Answer :C

Discussion

1562.	A set 'S' contains first 50 elements of the form 2n, ninN. 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 muzimum number of elements that 'P' can have is :
Answer» 12 13 25 none of (a),(B),(C ) ANSWER :C

Discussion

1563.	Ram borrowed a sum of Rs. 12000 at 15% per annum from a money lender on 13th January, 2003 and returned the amount on 8th June, 2003 to clear his debt. What was the amount paid by Ram to the money-lender to clear his debt ?
Answer» a) RS.15000 b) Rs. 11394 c) Rs. 12720 d) Rs. 13650 Answer :0.05

Discussion

1564.	x^((log)_5x)>5impliesx in (0,oo) (b) [2,2.5] (c)(2,2.5) (d) (0,2.5)
Answer» `"X"in(0,OO)` `"x"in(1,oo)` `"x"in(1,2)` `"x"in(0,1//5)uu(5.oo)` Answer :D

Discussion

1565.	What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, but when divided by 7 leaves no any remainder?
Answer» SOLUTION :The POSSIBLE value = m (LCM of 8 , 12 and 16) + 3 = m (48) + 3 Now put the value of m such that "m (48) = 3" becomes DIVISIBLE by 7 . So `3 xx 48 + 3 = 147` which is the least possible required number ?

Discussion

1566.	If the minimum value of the quadratic function is 0,then which of the following is not definitely true, about the roots?
Answer» Real Non-Real' Equal Rational Answer :B

Discussion

1567.	Two trains are moving in opposite directions with speeds of6m/s and 12m/s, respectively. Find their relative speed.
Answer» 18 m/s 15 m/s 20 m/s 6 m/s Answer :A

Discussion

1568.	Which of the following represents the largest 4 digit number which can be added to 7,249 in order to make the derived number divisible by each of 12, 14, 21, 33 and 54.
Answer» 9123 9383 8782 8583 Answer :B

Discussion

1569.	A box contains Rs. 56 of Rs. 1, 50p and 25p. The number of 50p coins is double of 25p coins and 4 times of Rs. 1 coins. Then what is the number of 50p coins?
Answer» 12 64 128 60 Answer :B

Discussion

1570.	The balance of a trader weight 10% less than it should be still the trader marks up his goods to get the overall profit of 20% . What is the markup on the cost price.
Answer» 0.4 0.08 0.25 `16.66%` ANSWER :B

Discussion

1571.	The value of p for which the sum of the squares of the roots of the equation x^(2)-(p-2)x-p-1=0 assume the least value is :
Answer» `-1` 1 0 2 Answer :B

Discussion

1572.	The profit earned when an article is sold for Rs. 800 is 20 times the loss incurred when it is sold for Rs. 275. At what price should the article be sold if it is desired to make a profit of 25%.
Answer» ANSWER :RS. 375

Discussion

1573.	A vertical stick 15 cm long casts it shodow 10 cm long on the gound. At the same time a flag pole casts a shadow 60 cm long. Find the height of the flag pole :
Answer» 40 cm 45 cm 90 cm none of these Answer :C

Discussion

1574.	Let p and q be the roots of the equation x^2-2x+A=0 and let r and s be the roots of the equation x^2-18x+B=0. if pltqltrlts are in arithmetic progression, then A,B respectively equal to
Answer» 8,17 3,7 -3,11 none of these Answer :D

Discussion

1575.	In my office there are 30% female employees and 30% of these earn greater than Rs. 8,000 per month and 80% male employees earn less than Rs. 8,000 per month. What is the percentage of employees who earn more than Rs. 8,000 per month ?
Answer» `30%` `23%` `60%` Can't be determined Answer :D

Discussion

1576.	(2^(76))/(96) find R.
Answer» ANSWER :`=64`

Discussion

1577.	The ratio of milk and water in a mixture is 2 : 1.How much fraction of the mixture must be drawn offand substituted by water so that the ratio of milk and water in the mixture becomes 5 : 3?
Answer» 1/2 3/8 5/12 5/16 Answer :`1/16`

Discussion

1578.	if a and b are two odd distinct prime numbers and if a> b then a^2 - b^2 can never be divided by :
Answer» 13 11 17 all of these Answer :D

Discussion

1579.	A triangle PQR is formed by joining the mid-points of the sides of a triangle ABC. 'o' is the circumcentre of triangle ABC , then for triangle PQR, the point 'o' is :
Answer» INCENTRE CIRCUMCENTRE orthocentre centroid Answer :C

Discussion

1580.	Answer the questions based on the following information, which gives data certain butter producer companies in India. What is the maximum production capacity (in '000 tonnes) of Nestle for Butter ?
Answer» 2.53 2.07 2.84 2.97 Answer :A

Discussion

1581.	If an exterior angle of a cyclic quadrilateral be 50^(@), then the opposite interior angle is :
Answer» `130^(@)` `40^(@)` `50^(@)` `90^(@)` ANSWER :C

Discussion

1582.	Which of the following facts are the most essential to know if both the roots ofax^2+bx+c=0are either greater or less than the randomly chosen number k? D a.f(k) Equation of axis of symmetry of the graph Equation of the vertex of the graph Average of the real roots
Answer» (i), (H) and (iv) (i)t (II) and (III) or (V) (i),(ii), (iii) and (iv) Only (i) and (ii) Answer :B

Discussion

1583.	What is the difference between the notations l and L ?
Answer» 1.2 lakh 1 lakh 1.4 lakh can't be determined Answer :A

Discussion

1584.	PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. DeltaABCis a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is:
Answer» `4sqrt2` cm 5 cm 6 cm 10 cm Answer :B

Discussion

1585.	The quotient when L.C.M. is divided by the H.C.F. of a G.P. with first term 'a' and common ratio 'r' is:
Answer» `R^(N -1)` `r^(n)` `a^(-1)r^(n-2)` `(r^n - 1)` ANSWER :A

Discussion

1586.	If h,s V be the height , curved surface area and volume of a cone respectively , then( 3pi Vh^(3) + 9V^(2) -s^(2) h^(2)) is equal to :
Answer» 0 `PI ` `(V)/(SH)` `(36)/(V)` ANSWER :A

Discussion

1587.	If x+ (1)/(x)=3, then x^(2)+ (1)/(x^(2))=?
Answer» ANSWER :7

Discussion

1588.	Progressive express left for New Delhi, increasing its speed in each hour. It started its journey from Lucknow, but after four each hour. It started its journey it met with accident. Its speed in the fourth hour was (7)/(5) times that of the third hour and the speed in the third hour was (10)/(7) times that of the second hour and in the second hour it was (7)/(5) times that of the first hour. If it would have been travelled with the half of the speed that f the third hour, then it would have gone 160 km less in the same time (i.e., in four hours). The average speed of the train during the journey of 4 hours was :
Answer» 50 km/hr 90 km/hr 80 km/hr can't be determined Answer :B

Discussion

1589.	Two dice are thrown. Find the probability that the sum is 8 or greater than 8, if 4 appears on the first die.
Answer» `3/8` `5/8` `1/2` NONE of these Answer :C

Discussion

1590.	A group of workers can complete a job in 120 days. If there were 4 more such workers then the work could be finished in 12 days less what was the actual strength of workers?
Answer» 30 workers 40 workers 42 workers 36 workers Answer :D

Discussion

1591.	How many numbers are divisible by 3 in the set of numbers 300, 301, 302, ……., 499, 500?
Answer» 200 66 67 none of these Answer :C

Discussion

1592.	If sec(5theta-50^(@))=cosec(theta+32^(@)), then the value of theta is: (0^(@)ltthetalt90^(@))
Answer» `33(1^(@))/(3)` `18^(@)` `3(1^(@))/(3)` `30^(@)` Answer :B

Discussion

1593.	From the set of first ten natural numbers two distinct numbers are picked randomly. Find the probability that they are co-primes.
Answer» `31//45` `14//45` `2//15` `28//45` ANSWER :A

Discussion

1594.	If the piece of wire 25 cm long is bent into an arc of a circle subtending an angle of 75^(@) at the centre , then the radius of the circle ( in cm )is :
Answer» `pi/120` `60/pi` `60pi` NONE of these Answer :B

Discussion

1595.	Convert (124)_10 into binary system.
Answer» SOLUTION :

Discussion

1596.	A traveler, named as Hamrahi, spends 6 hrs in walking along a level road,up a hill,and back home again. His pace on the level being 4 mph,up-hill 3 mph,and down-hill 6 mph Find the distance he walked along.
Answer» 8 miles 12 miles 36 miles 24 miles Answer :D

Discussion

1597.	if log(x-1) + log(x+1) = 3 log2, then x is equal to:
Answer» `+-1` 4 `+-3` NONE of these Answer :D

Discussion

1598.	If f(x)=sin log((sqrt(4-x^(2)))/(1-x)), then the domain of f(x) is ….
Answer» `R-{0}` R `R^(+)` `R^(+)UU{0}` ANSWER :C

Discussion

1599.	Fatima and Zahira can do a piece of work in 12 days and 15 days respectively. If they work for alternate day and Fatima starts the work first, then in how many days the work will be completed?
Answer» `12 1/5` `13 1/4` `13 1/5` 15 Answer :B

Discussion

1600.	Prove that sin^(4) pi/8+ sin^(4) 3pi/8 + sin^(4) 5pi/8 + sin^(4) 7pi/8 = 3/2.
Answer» `(3)/(2)` 1 `(1)/(2)` 0 Answer :B::C

Discussion

Explore topic-wise InterviewSolutions in .

I and O are incentre and circumcentre of a Delta ABC. AI is produced and it intersects the circumcircle at D.angle ABC=x, angle BID=y &angle BOD=z. Find (z+x)/(y)

A salesman is allowed 5.5 %commission on the sales made by him up to Rs. 10000 and additional bonus of 0.5 % on sale over Rs 10000. If his total earnings are Rs. 1990. Find the total sales made by him?

If p=x^(1//3)+x^(-1//3) then p^3-3p is equal to :

What is the simplified value of(tan A)/(1 - cot A) + (cot A)/( 1 - tan A) - (2)/( sin 2 A) ?

Amit is as much younger to Barkha as he is older to chaman. If the sum of the ages of Barkha and chaman is 48 years. What is the present age of Amit?

The third term of a G.P is 4 the product of first five term is:

In two alloys the ratio of Iron and copper is 4:3 and 6:1 respectively. If 14 kg of the first alloy and 42 kg of the second alloy are mixed together to form a new alloy, then what will be the ratio of copper to iron in the new alloy:

A man can row against the current three-fourth of a kilometre in 15 min and returns same distance in10 min, then ratio of his speed to that of current is

What is the maximum value of (12)C_x for any natural number x ?

A sum of Rs 36.90 is made up of 180 coins which are either 10 paise coins or 25 paise coins. Find the number of 10 paise coins.

If a circle with radius of 10 cm and two parallel chords 16 cm and 12 cm and they are on the same side of the centre of the circle, then the distance between the two parallel chords is.

A set 'S' contains first 50 elements of the form 2n, ninN. 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 muzimum number of elements that 'P' can have is :

Ram borrowed a sum of Rs. 12000 at 15% per annum from a money lender on 13th January, 2003 and returned the amount on 8th June, 2003 to clear his debt. What was the amount paid by Ram to the money-lender to clear his debt ?

x^((log)_5x)>5impliesx in (0,oo) (b) [2,2.5] (c)(2,2.5) (d) (0,2.5)

What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, but when divided by 7 leaves no any remainder?

If the minimum value of the quadratic function is 0,then which of the following is not definitely true, about the roots?

Two trains are moving in opposite directions with speeds of6m/s and 12m/s, respectively. Find their relative speed.

Which of the following represents the largest 4 digit number which can be added to 7,249 in order to make the derived number divisible by each of 12, 14, 21, 33 and 54.

A box contains Rs. 56 of Rs. 1, 50p and 25p. The number of 50p coins is double of 25p coins and 4 times of Rs. 1 coins. Then what is the number of 50p coins?

The balance of a trader weight 10% less than it should be still the trader marks up his goods to get the overall profit of 20% . What is the markup on the cost price.

The value of p for which the sum of the squares of the roots of the equation x^(2)-(p-2)x-p-1=0 assume the least value is :

The profit earned when an article is sold for Rs. 800 is 20 times the loss incurred when it is sold for Rs. 275. At what price should the article be sold if it is desired to make a profit of 25%.

A vertical stick 15 cm long casts it shodow 10 cm long on the gound. At the same time a flag pole casts a shadow 60 cm long. Find the height of the flag pole :

Let p and q be the roots of the equation x^2-2x+A=0 and let r and s be the roots of the equation x^2-18x+B=0. if pltqltrlts are in arithmetic progression, then A,B respectively equal to

In my office there are 30% female employees and 30% of these earn greater than Rs. 8,000 per month and 80% male employees earn less than Rs. 8,000 per month. What is the percentage of employees who earn more than Rs. 8,000 per month ?

(2^(76))/(96) find R.

The ratio of milk and water in a mixture is 2 : 1.How much fraction of the mixture must be drawn offand substituted by water so that the ratio of milk and water in the mixture becomes 5 : 3?

if a and b are two odd distinct prime numbers and if a> b then a^2 - b^2 can never be divided by :

A triangle PQR is formed by joining the mid-points of the sides of a triangle ABC. 'o' is the circumcentre of triangle ABC , then for triangle PQR, the point 'o' is :

Answer the questions based on the following information, which gives data certain butter producer companies in India. What is the maximum production capacity (in '000 tonnes) of Nestle for Butter ?

If an exterior angle of a cyclic quadrilateral be 50^(@), then the opposite interior angle is :

Which of the following facts are the most essential to know if both the roots ofax^2+bx+c=0are either greater or less than the randomly chosen number k? D a.f(k) Equation of axis of symmetry of the graph Equation of the vertex of the graph Average of the real roots

What is the difference between the notations l and L ?

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. DeltaABCis a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is:

The quotient when L.C.M. is divided by the H.C.F. of a G.P. with first term 'a' and common ratio 'r' is:

If h,s V be the height , curved surface area and volume of a cone respectively , then( 3pi Vh^(3) + 9V^(2) -s^(2) h^(2)) is equal to :

If x+ (1)/(x)=3, then x^(2)+ (1)/(x^(2))=?

Two dice are thrown. Find the probability that the sum is 8 or greater than 8, if 4 appears on the first die.

A group of workers can complete a job in 120 days. If there were 4 more such workers then the work could be finished in 12 days less what was the actual strength of workers?

How many numbers are divisible by 3 in the set of numbers 300, 301, 302, ……., 499, 500?

If sec(5theta-50^(@))=cosec(theta+32^(@)), then the value of theta is: (0^(@)ltthetalt90^(@))

From the set of first ten natural numbers two distinct numbers are picked randomly. Find the probability that they are co-primes.

If the piece of wire 25 cm long is bent into an arc of a circle subtending an angle of 75^(@) at the centre , then the radius of the circle ( in cm )is :

Convert (124)_10 into binary system.

A traveler, named as Hamrahi, spends 6 hrs in walking along a level road,up a hill,and back home again. His pace on the level being 4 mph,up-hill 3 mph,and down-hill 6 mph Find the distance he walked along.

if log(x-1) + log(x+1) = 3 log2, then x is equal to:

If f(x)=sin log((sqrt(4-x^(2)))/(1-x)), then the domain of f(x) is ….

Fatima and Zahira can do a piece of work in 12 days and 15 days respectively. If they work for alternate day and Fatima starts the work first, then in how many days the work will be completed?

Prove that sin^(4) pi/8+ sin^(4) 3pi/8 + sin^(4) 5pi/8 + sin^(4) 7pi/8 = 3/2.