8677 + Interview Questions in Maths in Class 14 Page 44 InterviewSolution

2151.	What is the 10th term of the sequence 2,4 ,……….. ?
Answer» 18 20 1024 can't be determined Answer :D

Discussion

2152.	Harsha takes 3 hours more than Ashok who drives his car 5km/h faster than Harsha drives,to cover 180 km distance.What is the speed of Harsha?
Answer» 12 km/h 15 km/h 30 km/h 40 km/h Answer :B

Discussion

2153.	If x=asinalphaandy=bcosalpha, then b^(2)x^(2)+a^(2)y^(2)=?
Answer» 1 2 `a^(2)B^(2)` `a^(2)+b^(2)` ANSWER :C

Discussion

2154.	If the circumcentre of PQR triangle is 'O' and OX_\|_PQ. What the relation between PX and QX is ?
Answer» `PX gt QX` `PX LT QX` `PX =QX` `PX=(QX)/(2)` Answer :C

Discussion

2155.	If X:Y=3:4,Y:Z=5:2 then find the value of X:Y:Z.
Answer»

Discussion

2156.	In triangle ABC, PQ is parallel to BC. If AP:PB= 1:3 and AQ=5cm then AC is equal to-
Answer» a. 6cm b. 15cm C. 12cm d. none Answer :C

Discussion

2157.	Distance between A & B is 120 km. If they both move towards each other (opposite direction) they meet in 2 hours but if they move in same direction they meet in 6 hours. Find their speed.
Answer» ANSWER : 40 km/h, 20 km/h

Discussion

2158.	The perimeter of a triangle is 54m and the sides are in the ratio of 5:6:7. The area of the triangle is:
Answer» a. 54SQ m b. 54√6 sq. m c. 52√6 sq. m d. NONE of these ANSWER :C

Discussion

2159.	In a 1 km race A, B and C are the three participants. A can give B a start of 50 m and C a start of 69 m. Find the start, which B can allow C.
Answer» SOLUTION :N/A

Discussion

2160.	What is the simplified value of ("cosec"^4 A - cot^2 A )-(cot^4 A+ "cosec"^2A) ?
Answer» 0 5 6 9 Answer :A

Discussion

2161.	If A-B=(pi)/(4), then (1+tanA)(1-tanB)=?
Answer» 1 `-1` `-2` 2 Answer :B

Discussion

2162.	If 2^(k)-2^(k-1)=8 then the value of k^3 is:
Answer» 46 27 64 8 Answer :C

Discussion

2163.	A person sells three articles first at 10% loss, second at 20% profit and the third one at 25% loss. If SP is equal find overall profit/loss%
Answer» ANSWER :8.444% LOSS

Discussion

2164.	Three circles with radii 3,4 and 5 touch each other externally. If P is the only point of intersection of tangents to these circles, find the distance of P from the points of contact.
Answer» `SQRT5` `SQRT6` `SQRT7` 3 Answer :A

Discussion

2165.	What is the respective ratio of the number of women working in the HR deparments of the number of men working in the IT department ?
Answer» ANSWER :`13:28`

Discussion

2166.	The sum of Rs. 500 is divided among A, B and C such that Rs. 16 is more than 2/5 of A's share, Rs. 70 is less than 3/4 of B's share and Rs. 4 is less than 3/5 of C's share they are equal. Then what are the share of A, B, C.
Answer» `160, 200, 140` `150, 200, 150` `140, 190, 170` `100, 150, 250` ANSWER :A

Discussion

2167.	Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay ?
Answer» a. 41 yrs b.40 yrs c.37 yrs d.33 yrs Answer :`4:7`

Discussion

2168.	The ratio of the father's age to the son's age is 3 : 1. The product of their ages is 147. The ratio of their ages after 5 years will be?
Answer» a. 2:1 b. 11:2 c. 13:6 d. NONE of above Answer :10 LT

Discussion

2169.	The ratio of milk and water in a pot is 2:3. If we added 5 litre milk and 5 litre water then the ratio becomes 3: 4. How much quantity of total mixture was present initially?
Answer» 25 litre 10 litre 20 litre 8 litre ANSWER :A

Discussion

2170.	The ratio of students in a coaching preparing for B.Tech and MBA is 4 : 5. The ratio of fees collected from each of B.Tech and MBA student is 25: 16. If the total amount collected from all the students is 1.62 lakh, what is the total amount collected from only MBA aspirants?
Answer» RS. 62000 Rs. 72000 Rs. 80000 None of these Answer :B

Discussion

2171.	If the sides of a Delta are 12, 16, 20 . Find the area of Delta formed by medians.
Answer» ANSWER :72

Discussion

2172.	The three numbers are in the ratio 2 : 3 : 5and their HCF is 12 , These numbers are:
Answer» 4, 8 , 12 5 , 10 , 15 24 , 48 , 72 24 , 36 , 60 Answer :D

Discussion

2173.	Find the remainder in expression– (1! + 2! + 3! + …..10!)/(7)
Answer» 2 3 4 5 Answer :d

Discussion

2174.	A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. If the speed of flow of the liquid is maintained the same, then the value of x is
Answer» 14.69 cm 29.39 cm 18.65 cm 22.21 cm Answer :B

Discussion

2175.	In the given figure, chords AB and CD are equal. If angle OBA = 55^(@) then angle COD is :
Answer» `65^@` `55^@` `70^@` `50^@` ANSWER :C

Discussion

2176.	A hare pursued by a grey-hound, is 20 of her own leaps ahead of him. While the hare takes 4 leaps the grey-hound takes 3 leaps. 2 leaps of grey-hound is equal to 3 leaps of hare. In how many leaps will the grey-hound overtake the hare?
Answer» ANSWER : 120 LEAPS

Discussion

2177.	A and B are partners in a business. They invest in the ratio 5:6at the end of 8 months A withdraws. If they receive profits in the ratio of 5:9, find how long B's investment was used?
Answer» 12 months 10 months 15 months 14 months Answer :A

Discussion

2178.	Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0is equal to
Answer» 0 `-1` 2 `-3` Answer :B

Discussion

2179.	If x^(11) +3 is divided by (x+1), find the remainder
Answer» ANSWER :2

Discussion

2180.	A dog is chasing a rabbit. Initially distance between them is 400 leaps of dog. The time taken by dog to take 4 leaps is equal to 6 leaps taken byrabbit in that time. Rabbit covers 1.5 m in 1 leap and dog covers 2.5 m in 1 leap. In how many leaps will the dog catch the rabbit?
Answer» ANSWER :2400 LEAPS

Discussion

2181.	A straight line intersect the x axis at a and the y axis atb. ab is divided internally at c(8,10) in the ratio of 3:4. find the equation of ab.
Answer» a. x+y=18 b. x+y+2=0 c. 5x+3y-70=0 d. NONE of these Answer :A

Discussion

2182.	(sin^(2)A-sin^(2)B)/(sinAcosA-sinBcosB)=?
Answer» `TAN(A-B)` `tan(A+B)` `COT(A-B)` `cot(A+B)` ANSWER :B

Discussion

2183.	What is the maximum possible value of xy, where \|x+5\|=8 and y=9-\|x-4\|
Answer» A. 401 B. 124 C. 104 D. NONE of these Answer :C

Discussion

2184.	Walking3/2 of his normal speed Shekhawat takes 40 minutes less than the usual time? What is the usual time taken by Shekhawat?
Answer» 1 h 1.2 h 3 h 2 h Answer :B

Discussion

2185.	5^(x-1) + 5^x + 5^(x+1) = 775 then the value of x for every positive integer x, is :
Answer» 1 3 2 can't be determined Answer :B

Discussion

2186.	Simplify:- 3/5th of 24% of 500 - 32=?
Answer» a. 20 B. 30 c. 50 d. 40 Answer :B

Discussion

2187.	Find the value of x:- 8000 ÷ 16 - 200= x* 6
Answer» a. 75 b. 60 c. 50 d. NONE of these Answer :A

Discussion

2188.	Simplify:- 1/8th of 6/7th of 11200 = ?
Answer» a. 1100 b. 1220 c. 1430 d. 1200 Answer :D

Discussion

2189.	The sum of the roots of the equation 5x^2 + (p+q+r) x+ p ar =0 is equal to zero. What is the value of {p^(3) + q^(3) + r^(3)}
Answer» 4pqr 3pqr 7pqr Zpqr Answer :B

Discussion

2190.	If the functions f, g, h are defined from 'R' to 'R' by f(x)=x^(2)-1, g(x)=sqrt(x^(2)+1), h(x)={{:(0",","if",xle0),(x",","if",xge0):} then hofog is equal to :
Answer» `X^(2)` `sqrt(x^(4)-1)` 0 none of these Answer :A

Discussion

2191.	If 3sinx+4cosx=2, then find the value of 3cosx-4sinx.
Answer» `SQRT(21)` 5 0 `sqrt(29)` ANSWER :A

Discussion

2192.	Let X = {1,2,3, 4,5, 6,7, 8, 9,10} be the universal set and A ={2,4, 6}, B ={1,3,5}, then A^cnnB^c is equal to:
Answer» {2,4,5, 6, 8, 9,10} {1,3,5,7, 8, 9,10} X {7,8,9,10} ANSWER :D

Discussion

2193.	A varies directly as B and inversely as C. A is 12 when B is 6 and C is 2. What is the value of A when B is 12 and C is 3?
Answer» Solution :`AproptoB` and `Apropto 1/C` It MEANS ,`AproptoB/c IMPLIES A=(KB)/C` Here A varies directly as B but INVERSELY as C. Also it can vary as only directly or inversely as more than one quantities. `AproptoBC implies A=KBC` and `Apropto1/(BC)implies A=K/(BC)`

Discussion

2194.	A can do a piece of work in 20 days and B can do same work in 15 days. Both A and B start the work and after some days B left and A complete the remaining work in 6 days. After how many days will B left work?
Answer» ANSWER :6 DAYS

Discussion

2195.	If both pipes are opened simultaneously at a time when the tank was one-third filled, when will the tank fill thereafter?
Answer» `3/2` HOURS `2/3` hours 2 hours `1 2/3` hours Answer :C

Discussion

2196.	What will be the difference between two numbers? I. The square of the first number is 9 times the second number I. The ratio of the first number to the second number is 3 : 4
Answer»

Discussion

2197.	some portion of a 30m long tree is broken by tornado and the top struck up the ground making an angle 30^@ with ground level. The height of the point where the tree is broken is equal to:
Answer» `(30)/SQRT3` m 10 m `30sqrt3` m 60 m Answer :B

Discussion

2198.	Find the roots of the rational polynomial equation ((2x+1))/((x+3)(x-1))=0.
Answer» SOLUTION :`((2x+1))/((x+3)(x-1))=0implies2x+1=0impliesx=-1//2` THEREFORE there is only ONE solution of the above RATIONAL EQUATION, which is `x=-1//2`.

Discussion

2199.	-x^2+2x+8lt0
Answer» `[-OO,-2)uu(4,oo]` `(-oo,-2)uu(4,oo)` `(-2,4)` `(-oo,-4)uu(2,oo)` Answer :B

Discussion

2200.	Two circles with centers A and B and radius 2 units touch each other externally at 'C' and radius 2 units meets other two at D and E. Then the area of the quadrilateral ABDE is :
Answer» `2 SQRT(2)` SQ. UNIT `3 sqrt(3)` sq. unit `3 sqrt(2)` sq. unit `2 sqrt(3)` sq. unit Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

What is the 10th term of the sequence 2,4 ,……….. ?

Harsha takes 3 hours more than Ashok who drives his car 5km/h faster than Harsha drives,to cover 180 km distance.What is the speed of Harsha?

If x=asinalphaandy=bcosalpha, then b^(2)x^(2)+a^(2)y^(2)=?

If the circumcentre of PQR triangle is 'O' and OX_|_PQ. What the relation between PX and QX is ?

If X:Y=3:4,Y:Z=5:2 then find the value of X:Y:Z.

In triangle ABC, PQ is parallel to BC. If AP:PB= 1:3 and AQ=5cm then AC is equal to-

Distance between A & B is 120 km. If they both move towards each other (opposite direction) they meet in 2 hours but if they move in same direction they meet in 6 hours. Find their speed.

The perimeter of a triangle is 54m and the sides are in the ratio of 5:6:7. The area of the triangle is:

In a 1 km race A, B and C are the three participants. A can give B a start of 50 m and C a start of 69 m. Find the start, which B can allow C.

What is the simplified value of ("cosec"^4 A - cot^2 A )-(cot^4 A+ "cosec"^2A) ?

If A-B=(pi)/(4), then (1+tanA)(1-tanB)=?

If 2^(k)-2^(k-1)=8 then the value of k^3 is:

A person sells three articles first at 10% loss, second at 20% profit and the third one at 25% loss. If SP is equal find overall profit/loss%

Three circles with radii 3,4 and 5 touch each other externally. If P is the only point of intersection of tangents to these circles, find the distance of P from the points of contact.

What is the respective ratio of the number of women working in the HR deparments of the number of men working in the IT department ?

The sum of Rs. 500 is divided among A, B and C such that Rs. 16 is more than 2/5 of A's share, Rs. 70 is less than 3/4 of B's share and Rs. 4 is less than 3/5 of C's share they are equal. Then what are the share of A, B, C.

Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay ?

The ratio of the father's age to the son's age is 3 : 1. The product of their ages is 147. The ratio of their ages after 5 years will be?

The ratio of milk and water in a pot is 2:3. If we added 5 litre milk and 5 litre water then the ratio becomes 3: 4. How much quantity of total mixture was present initially?

The ratio of students in a coaching preparing for B.Tech and MBA is 4 : 5. The ratio of fees collected from each of B.Tech and MBA student is 25: 16. If the total amount collected from all the students is 1.62 lakh, what is the total amount collected from only MBA aspirants?

If the sides of a Delta are 12, 16, 20 . Find the area of Delta formed by medians.

The three numbers are in the ratio 2 : 3 : 5and their HCF is 12 , These numbers are:

Find the remainder in expression– (1! + 2! + 3! + …..10!)/(7)

A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. If the speed of flow of the liquid is maintained the same, then the value of x is

In the given figure, chords AB and CD are equal. If angle OBA = 55^(@) then angle COD is :

A hare pursued by a grey-hound, is 20 of her own leaps ahead of him. While the hare takes 4 leaps the grey-hound takes 3 leaps. 2 leaps of grey-hound is equal to 3 leaps of hare. In how many leaps will the grey-hound overtake the hare?

A and B are partners in a business. They invest in the ratio 5:6at the end of 8 months A withdraws. If they receive profits in the ratio of 5:9, find how long B's investment was used?

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0is equal to

If x^(11) +3 is divided by (x+1), find the remainder

A dog is chasing a rabbit. Initially distance between them is 400 leaps of dog. The time taken by dog to take 4 leaps is equal to 6 leaps taken byrabbit in that time. Rabbit covers 1.5 m in 1 leap and dog covers 2.5 m in 1 leap. In how many leaps will the dog catch the rabbit?

A straight line intersect the x axis at a and the y axis atb. ab is divided internally at c(8,10) in the ratio of 3:4. find the equation of ab.

(sin^(2)A-sin^(2)B)/(sinAcosA-sinBcosB)=?

What is the maximum possible value of xy, where |x+5|=8 and y=9-|x-4|

Walking3/2 of his normal speed Shekhawat takes 40 minutes less than the usual time? What is the usual time taken by Shekhawat?

5^(x-1) + 5^x + 5^(x+1) = 775 then the value of x for every positive integer x, is :

Simplify:- 3/5th of 24% of 500 - 32=?

Find the value of x:- 8000 ÷ 16 - 200= x* 6

Simplify:- 1/8th of 6/7th of 11200 = ?

The sum of the roots of the equation 5x^2 + (p+q+r) x+ p ar =0 is equal to zero. What is the value of {p^(3) + q^(3) + r^(3)}

If the functions f, g, h are defined from 'R' to 'R' by f(x)=x^(2)-1, g(x)=sqrt(x^(2)+1), h(x)={{:(0",","if",xle0),(x",","if",xge0):} then hofog is equal to :

If 3sinx+4cosx=2, then find the value of 3cosx-4sinx.

Let X = {1,2,3, 4,5, 6,7, 8, 9,10} be the universal set and A ={2,4, 6}, B ={1,3,5}, then A^cnnB^c is equal to:

A varies directly as B and inversely as C. A is 12 when B is 6 and C is 2. What is the value of A when B is 12 and C is 3?

A can do a piece of work in 20 days and B can do same work in 15 days. Both A and B start the work and after some days B left and A complete the remaining work in 6 days. After how many days will B left work?

If both pipes are opened simultaneously at a time when the tank was one-third filled, when will the tank fill thereafter?

What will be the difference between two numbers? I. The square of the first number is 9 times the second number I. The ratio of the first number to the second number is 3 : 4

some portion of a 30m long tree is broken by tornado and the top struck up the ground making an angle 30^@ with ground level. The height of the point where the tree is broken is equal to:

Find the roots of the rational polynomial equation ((2x+1))/((x+3)(x-1))=0.

-x^2+2x+8lt0

Two circles with centers A and B and radius 2 units touch each other externally at 'C' and radius 2 units meets other two at D and E. Then the area of the quadrilateral ABDE is :