8677 + Interview Questions in Maths in Class 14 Page 157 InterviewSolution

7801.	chetak and Ashwa two horses atrat galloping from Patna to Rachi which are 80 km apart the speed of Chetak is 160km/h and that of Ashwa is 150km/h they start galloping simultaneously from Patna to Rachi Chetak reached to Rachi and return to Patna but Ashwa returned fro jamshedpur(which is somewhere between patna and Ranchi) tro Patna at the same time what is the ratio of distances between Patna and jamshedpur and jamshedpur and Ranchi?
Answer» 0.62569444444444 0.14236111111111 0.62638888888889 none of these Answer :A

Discussion

7802.	If a+b=20, then the maximum value of ab is :
Answer» 19 75 100 120 Solution :MAXIMUM of (AB)=`10XX10`=100 therefore (a+b=20) (a=b=10)

Discussion

7803.	The product of n geometric means between two given numbers a and b is:
Answer» a. `(AB)^n` B. `(ab)^(2n)` c. `(ab)^(n//2)` d. NONE of these Answer :C

Discussion

7804.	A sum of money at compound interest amounts to Rs. 4050 in one year and to Rs. 4723.92 in 3 years. Find the rate of interest per annum.
Answer» ANSWER :0.08

Discussion

7805.	For the quadratic equationx^2+12x+20=0, how far is the vertex .from the X-axis?
Answer» 8 UNIT `16//3` unit 16 unit `8//3` unit Answer :B

Discussion

7806.	A Contractor employed a certain number of workersto finish constructing a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of thescheduled time, so he at once doubled the no of workers and thus he managed to finish the road on the scheduled time. How much work he had been completed, before increasing the number of workers?
Answer» `10%` `14 2/7%` `20%` can’t be determined Answer :B

Discussion

7807.	The length of a rectangle is increased by 10% while its breadth is decreased by 10%. What is the consequent percentage change in the area of the rectangle?
Answer» ANSWER :C

Discussion

7808.	What do the hands of a clock coincide between 5 and 6?
Answer» 0.22916666666667 0.22726851851852 0.23074074074074 0.22842592592593 Answer :B

Discussion

7809.	Solve the following : (x^b/x^c)^a xx (x^c/x^a)^b xx (x^a/x^b)^c is equal to :
Answer» 0 1 abc none of these ANSWER :B

Discussion

7810.	If p < q, then p "@" q = p # q else p "@" q = q # p where a # b = a/b. Then the value of (4 "@" 5) "@" (6 "@" 5) is :
Answer» (24)/(25) 44257 44289 none of these Answer :A

Discussion

7811.	Find the present worth of ? 1860 due 3 yr hence at 8% per annum. Also, find the true dis-count.
Answer» ANSWER :RS. 360

Discussion

7812.	solve the following expression sqrt((1-costheta)/(1+costheta))+sqrt((1+costheta)/(1-costheta)) :
Answer» `2sectheta` `SECTHETA` `2cosectheta` NONE of these Answer :C

Discussion

7813.	ABCD is a cyclic quadrilateral PQ is a tangent at B. If angleDBQ = 65^(@), then angleBCD is:
Answer» `35^(@)` `85^(@)` `115^(@)` `90^(@)` ANSWER :C

Discussion

7814.	ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If∠DBC=70 * ,∠BAC is 30*, find ∠ BCD. Further if AB=BC, find ∠ ECD.
Answer» A. 80* and 50* B. 30* and 80* C. 100* and 70* D. none of these Answer :A

Discussion

7815.	A sum of money doubles itself at compound interest in 4 years. In how many years will it become 8 times?
Answer» ANSWER :12 YEARS

Discussion

7816.	A solid sphere of diameter 15 m is melted and recast into several small spheres of diameter 3 m . What is the percentage increase in the surface area of the smaller spheres over that of the larger sphere ?
Answer» `200%` `400%` 5 can't be DETERMINED ANSWER :B

Discussion

7817.	A fruit marchant earns 20% profit on selling mangoes at certain price. If he increases price of each mango by Rs 1 then his profit is 40% Find initial S.P. of each mango.
Answer» ANSWER :RS. 6

Discussion

7818.	If cosA+cos^(2)A=1, then find the value of sin^(12)A+3sin^(10)A+3sin^(8)A+sin^(6)A+sin^(4)A+sin^(2)A.
Answer» `-1` 5 2 1 Answer :C

Discussion

7819.	Inspired by the 'Golden quadrilateral project', the UP Government recently accomplished a diamond triangular project. Under this project the State Government laid down 6 lane roads connecting three cities Ayodhya, Banaras and Chitrakoot, which are equally separated from each other i.e. in terms of geometry they forman equilateral triangle. Angad and Bajrang start simultaneously from Ayodhya and Banaras respectively, towards Chitrakoot. When Angad covers 100 kms, Bajrang covers such a distance that the distance between Angad and Bajrang makes 90° angle with the road joining Banaras to Chitrakoot. When Bajrang reaches Chitrakoot, Angad is still 150 km away from Chitrakoot.What is the distance between Ayodhya and Chitrakoot?
Answer» 250 km 450 km 300 km none of the above Answer :C

Discussion

7820.	If the price of sugar rises from6 per kg to7.50 per kg, a person having no increase in his expenditure on sugar, will have to reduce his consumption of sugar by
Answer» 0.15 0.2 0.25 0.3 Answer :B

Discussion

7821.	A bottle of whisky contains 42% alcohol. Some part of this bottle is replaced by another bottle of whisky which contains 17% alcohol. Now this mixture contains 27% alcohol. Which part of bottle has been replaced?
Answer» ANSWER :`3/5`

Discussion

7822.	If 3xsintheta+2ycostheta=4and2xsintheta-3ycostheta=2, then relation between x and y.
Answer» `(81)/(x^(2))+(49)/(y^(2))=144` `(36)/(x^(2))+(64)/(y^(2))=121` `(289)/(x^(2))+(4)/(y^(2))=16` `(256)/(x^(2))+(4)/(y^(2))=169` Answer :A

Discussion

7823.	If one root of a quadratic equation is 2 + sqrt5, then find the quadratic equation.
Answer» `5+2sqrt7` `-2+5sqrt7` `-2-5sqrt7` NONE of these Answer :D

Discussion

7824.	Dialling a telephone number an old man forgets the last two digitsremembering only that these are different dialled at random. The probabilitythat the number is dialled correctly is1//45b. 1//90c. 1//100d. none of these
Answer» `1//90` `81//91` `2//99` NONE of these Answer :A

Discussion

7825.	The value of sin600^(@)cos330^(@)+cos120^(@)sin150^(@) is
Answer» 1 `-1` `(1)/(SQRT(2))` `(sqrt(3))/(2)` ANSWER :A

Discussion

7826.	For the given fixed perimeter of 50 cm, the total number of rectangles which must have its sides in integers (cm) is:
Answer» 50 25 12 infinte Answer :C

Discussion

7827.	How many terms of the A.P. 1,4,7,... are needed to give the sum 925 ?
Answer» 20 22 24 25 Answer :D

Discussion

7828.	A room is 36 m long, 12 m wide and 10 m high . It has 6 window , each3m xx 2.5 m , one door9.5m xx 6 m andone fire chimney4m xx 4.5. Find the expenditure of papering its walls at the rate of 70 paise per metre , if the width of the paper is 1.2 m :
Answer» `₹490` `₹690` `₹1,000` NONE of these Answer :A

Discussion

7829.	Solve the following : (-2)^5
Answer» SOLUTION :`(-2) XX (-2) xx (-2) xx (-2) xx (-2) = -32`

Discussion

7830.	Rs. 11250 are divided among A,B and C so that A may receive one half as much as B and C together receive and B receives one -fourth of what A and C together receive. The share of A is more than that of B by:
Answer» ₹2500 ₹1500 ₹1800 ₹650 Answer :D

Discussion

7831.	Let f(x, y)=\|x+y\| and g(x, y)=\|x-y\|, then how many ordered pairs of the form (x, y) would satisfy f(x, y)=g(x, y)
Answer» 1 2 4 infinitely many Answer :D

Discussion

7832.	If a, b represents two distinct positive integers and thus (aa)^b = abba is a valid relation. Then the value of (a^b . b^a + b^a .a^b) is :
Answer» 4 6 13 None of these ANSWER :B

Discussion

7833.	Find the remainder when (2)^(51) is divided by 5.
Answer» 1 2 3 4 Answer :C

Discussion

7834.	Given that alpha, gamma are roots of the equation Ax^(2)-4x+1=0 and beta, delta are roots of the equation Bx^(2)-6x+1=0. If alpha, beta,gamma and delta are in H.P., then
Answer» `-5, 9` `3//2, 5` `3, 8` none of these Answer :C

Discussion

7835.	If (x-7) (y-10) (z- 12)= 1000, then find the minimum value of (x+ y+ z)
Answer» ANSWER :59

Discussion

7836.	A ladder is resting with one end is contact with the top of a wall of height 60 m and the other end on the groundis at a distance of 11 m form the wall. The length of the ladder is :
Answer» 61 m 71 m 87 m none of these Answer :A

Discussion

7837.	4 men and 6 women get Rs. 1600 by doing a piece of work in 5 days. 3 men and 7 women get Rs. 1740 by doing the same work in 6 days. In how many days, 7 men and 6 women can complete the same work getting Rs. 3760?
Answer» ANSWER :B

Discussion

7838.	A monkey wants to climb up a pole of 50 metre height. He first climbs up 1 metre but he falls back by the same height. Again he climbs up 2 metre but he falls back by 1 metre. Once again he climbs up 3 metre but he falls back by 1 metre. Again he climbs up 4 metre but he falls back be 1 metre. In this way he reaches at the top of the pole. If it is known that the monkey needs 10 seconds for 1 metre in upward direction , then the total time required by monkey to reach at the top of the pole. For your kind information it must be clear to you that when he will reach on the top, he will not be slip back. The total time required by this monkey to reach on the top of the poll is:
Answer» 9 MINUTES 10 seconds 10 minutes 8 minutes 20 seconds none of these Answer :A

Discussion

7839.	A student calculated the average of 10, three digit number. But due to mistake he reversed the digits of a number and thus his average increased by 19.8. Find the difference between the unit digit and hundreds digit of that of that number
Answer» ANSWER :2

Discussion

7840.	The true discount at a bill of X 7440 due 16 months, hence is X 240. Find the banker's gain.
Answer» 1) 10 2) 6 3) 4 4) 8 Answer :D

Discussion

7841.	If x+ (1)/(x)= -2, find x^(112) + (1)/(x^(112))=?
Answer» ANSWER :2

Discussion

7842.	Find the banker's discount at a bill of25500 due 2 months hence, when rate of interest is 3% per annum.
Answer» ANSWER :RS. 127.5

Discussion

7843.	If a :b::3:4 & b:c:: 4:7. then (a +b + c)/( c ) = ?
Answer» 1 2 3 4 Answer :B

Discussion

7844.	solve (88)^3
Answer» SOLUTION : `THEREFORE (88)^3 = 681472`

Discussion

7845.	If the perimeter of a rhombus is 4p and length of its diagonals are a and b , then its area is :
Answer» <P>a/B `(AB)/2` `(ab)/p` `p(a^2 + b^2)` ANSWER :B

Discussion

7846.	A wire is bent in the form of a square of side 66 m . It is cut and again bent in the form of a circle. The diameter of this circle is :
Answer» 42 m 84 m 21 m none of these Answer :B

Discussion

7847.	Find (1)/(2)cosec10^(@)-2sin70^(@).
Answer» ANSWER :1

Discussion

7848.	S.P. of a pen is Rs 56. If value of its C.P. and profit% is equal then find its C.P. ?
Answer» ANSWER :RS. 40

Discussion

7849.	Find the sum of the squares of first 50 natural numbers
Answer» 463 466 456 42925 Answer :B

Discussion

7850.	A group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?
Answer» 1152 1278 1296 none of these Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

If a+b=20, then the maximum value of ab is :

The product of n geometric means between two given numbers a and b is:

A sum of money at compound interest amounts to Rs. 4050 in one year and to Rs. 4723.92 in 3 years. Find the rate of interest per annum.

For the quadratic equationx^2+12x+20=0, how far is the vertex .from the X-axis?

The length of a rectangle is increased by 10% while its breadth is decreased by 10%. What is the consequent percentage change in the area of the rectangle?

What do the hands of a clock coincide between 5 and 6?

Solve the following : (x^b/x^c)^a xx (x^c/x^a)^b xx (x^a/x^b)^c is equal to :

If p < q, then p "@" q = p # q else p "@" q = q # p where a # b = a/b. Then the value of (4 "@" 5) "@" (6 "@" 5) is :

Find the present worth of ? 1860 due 3 yr hence at 8% per annum. Also, find the true dis-count.

solve the following expression sqrt((1-costheta)/(1+costheta))+sqrt((1+costheta)/(1-costheta)) :

ABCD is a cyclic quadrilateral PQ is a tangent at B. If angleDBQ = 65^(@), then angleBCD is:

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If∠DBC=70 * ,∠BAC is 30*, find ∠ BCD. Further if AB=BC, find ∠ ECD.

A sum of money doubles itself at compound interest in 4 years. In how many years will it become 8 times?

A solid sphere of diameter 15 m is melted and recast into several small spheres of diameter 3 m . What is the percentage increase in the surface area of the smaller spheres over that of the larger sphere ?

A fruit marchant earns 20% profit on selling mangoes at certain price. If he increases price of each mango by Rs 1 then his profit is 40% Find initial S.P. of each mango.

If cosA+cos^(2)A=1, then find the value of sin^(12)A+3sin^(10)A+3sin^(8)A+sin^(6)A+sin^(4)A+sin^(2)A.

If the price of sugar rises from6 per kg to7.50 per kg, a person having no increase in his expenditure on sugar, will have to reduce his consumption of sugar by

A bottle of whisky contains 42% alcohol. Some part of this bottle is replaced by another bottle of whisky which contains 17% alcohol. Now this mixture contains 27% alcohol. Which part of bottle has been replaced?

If 3xsintheta+2ycostheta=4and2xsintheta-3ycostheta=2, then relation between x and y.

If one root of a quadratic equation is 2 + sqrt5, then find the quadratic equation.

Dialling a telephone number an old man forgets the last two digitsremembering only that these are different dialled at random. The probabilitythat the number is dialled correctly is1//45b. 1//90c. 1//100d. none of these

The value of sin600^(@)cos330^(@)+cos120^(@)sin150^(@) is

For the given fixed perimeter of 50 cm, the total number of rectangles which must have its sides in integers (cm) is:

How many terms of the A.P. 1,4,7,... are needed to give the sum 925 ?

A room is 36 m long, 12 m wide and 10 m high . It has 6 window , each3m xx 2.5 m , one door9.5m xx 6 m andone fire chimney4m xx 4.5. Find the expenditure of papering its walls at the rate of 70 paise per metre , if the width of the paper is 1.2 m :

Solve the following : (-2)^5

Rs. 11250 are divided among A,B and C so that A may receive one half as much as B and C together receive and B receives one -fourth of what A and C together receive. The share of A is more than that of B by:

Let f(x, y)=|x+y| and g(x, y)=|x-y|, then how many ordered pairs of the form (x, y) would satisfy f(x, y)=g(x, y)

If a, b represents two distinct positive integers and thus (aa)^b = abba is a valid relation. Then the value of (a^b . b^a + b^a .a^b) is :

Find the remainder when (2)^(51) is divided by 5.

Given that alpha, gamma are roots of the equation Ax^(2)-4x+1=0 and beta, delta are roots of the equation Bx^(2)-6x+1=0. If alpha, beta,gamma and delta are in H.P., then

If (x-7) (y-10) (z- 12)= 1000, then find the minimum value of (x+ y+ z)

A ladder is resting with one end is contact with the top of a wall of height 60 m and the other end on the groundis at a distance of 11 m form the wall. The length of the ladder is :

4 men and 6 women get Rs. 1600 by doing a piece of work in 5 days. 3 men and 7 women get Rs. 1740 by doing the same work in 6 days. In how many days, 7 men and 6 women can complete the same work getting Rs. 3760?

A student calculated the average of 10, three digit number. But due to mistake he reversed the digits of a number and thus his average increased by 19.8. Find the difference between the unit digit and hundreds digit of that of that number

The true discount at a bill of X 7440 due 16 months, hence is X 240. Find the banker's gain.

If x+ (1)/(x)= -2, find x^(112) + (1)/(x^(112))=?

Find the banker's discount at a bill of25500 due 2 months hence, when rate of interest is 3% per annum.

If a :b::3:4 & b:c:: 4:7. then (a +b + c)/( c ) = ?

solve (88)^3

If the perimeter of a rhombus is 4p and length of its diagonals are a and b , then its area is :

A wire is bent in the form of a square of side 66 m . It is cut and again bent in the form of a circle. The diameter of this circle is :

Find (1)/(2)cosec10^(@)-2sin70^(@).

S.P. of a pen is Rs 56. If value of its C.P. and profit% is equal then find its C.P. ?

Find the sum of the squares of first 50 natural numbers

A group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?