8677 + Interview Questions in Maths in Class 14 Page 166 InterviewSolution

8251.	A property dealer bought a rectangular plot (of land) in Noida 5 years ago at the rate of Rs. 1000 per m^2 . The cost of plot is increases by 5% in every 6 years and the worth of a rupee falls down at a rate of 2% in every 5 years . What is the approximate value of the land per meter 25 years hence ??
Answer» ₹ 995 ₹ 1134 ₹ 1500 ₹ 1495 Answer :B

Discussion

8252.	The maximum possible difference between the 4 digit numbers formed by using the 4 different digit 1,2,3,5 is :
Answer» 4086 5076 4386 3242 Answer :A

Discussion

8253.	If 5sin^(2)theta+3cos^(2)theta=4. Find the value of sin theta and cos theta:
Answer» `+-1/SQRT2`, `+-1/sqrt2` `+-sqrt3/2, +-sqrt2` `sqrt3/2, 1/sqrt2` NONE of these Answer :A

Discussion

8254.	The value of ((x^(a))/(x^(b)))^(a+b) xx ((x^(b))/(x^(c)))^(b+c) xx ((x^(c))/(x^(a)))^(c + a) is equal to
Answer» 1 0 2 none of these ANSWER :A

Discussion

8255.	A train leaves Mumbai for Goa at 3 : 45 pm and goes at the rate of 50 km/h. Another train leaves Goa for Mumbai at 2:35 pm and goes at the rate of 60 km/h. If the distance between Mumbai and Goa is 510 km, at what distance from Mumbai will the two trains meet?
Answer» a.200 km b. 150 km c. 145 km d. 300 km Answer :A

Discussion

8256.	If x and y are possible prime number and if x^2 - 2y^2 = 1, then the value of x + y is :
Answer» 7 24 13 none of these Answer :D

Discussion

8257.	A sum of Rs. 1260 is borrowed from a money lender at 10% per annum compounded annually. If the amount is to be paid back in two equal annual installments, find the annual installment.
Answer» ANSWER :RS. 726

Discussion

8258.	Express the following in the lowest terms. ((2x^(2)+1)/(x-1)+(x-1)/(x+1))xx((x^(2)-1)/(2x)):
Answer» `2x^2+3x//2` `2x^3+3x^2-x+2//2x` `2x^3-3x^2+x-2//2x` NONE of these Answer :B

Discussion

8259.	The number of zeros at the end of the following expression: P = {(2 xx 4 xx 6 xx 8 xx 10 xx .. 50) xx (55 xx 60 xx 65 xx 70 xx 75 xx …..100)}
Answer» LESS than 20 57 20 36 Answer :A

Discussion

8260.	Find the remainder when 32^(32) is divided 5.
Answer» 0 1 3 2 Answer :B

Discussion

8261.	A postman goes with a speed of 36 km/h what is the speed of postman in mile/h?
Answer» 22.37 30.08 28.3 38.12 Answer :A

Discussion

8262.	There is a cone of height 12 cm, out of which a smaller cone ( which is the top portion of the original cone ) with the same vertex and vertical axis is cut out. What is the ratio of the volume of the larger ( actual) cone to the remaining part ( frustum ) of the cone , if the height of the smaller cone is 9 cm ?
Answer» 3:1 9:1 2.6923611111111 16:7 Answer :C

Discussion

8263.	Two trains are running 40km/h and 20 km/h respectively, in the same direction. The fast train com- pletely passes a man sitting in the slow train in 5 s. The length of the fast a train is
Answer» a. `23 (2)/(9) m` B. `27 m` c. `27 ( 7)/(9) `m d. `23M` Answer :C

Discussion

8264.	find the valueof ""^(10)C_5
Answer» 525 126 252 50 Answer :C

Discussion

8265.	A, B and C can alone complete a work in 15, 25 and 30 days respectively. A and B started the work and after some days A is replaced by C. Now the work is completed in a further of 6 4/11 days. How much of the total work did B did ?
Answer» ` 4/11` ` 4/15` `5/12` `5/11 ` Solution : Let A replaced by C after x days, so A and B WORKED for X days, And the B and C for `6 4/11 = 70// 11` days. So `(1//15 + 1//25)XXX+(1//25+1//30) xx (70//11)=1` `(8//75)xx x + (7//15)=1` Solve, `x=5` days So, B worked for `(5 + 70// 11) = 125 // 11` days In `125//11` days, B did `(125//11)xx (1//25) = 5//11` FO WORK

Discussion

8266.	The ratio of copper and nickel by weight in the two alloys X and Y are 2:7 and 5:4. How many kilogram of the alloy X and Y are required to make 42 kg of new alloy Z in Which the ratio of copper and nickel is same?
Answer» 6 KG and 36 kg 10 kg and 32 kg 7 kg and 35 kg None of these Answer :C

Discussion

8267.	A,B and C started a business with their investments in the ratio 1:2:4. After 6 months A invested the half amount more as before and B invested twice the amount as before while C withdrew 1/4 the of the their investments. Find the ratio of their profits at the end of the year.
Answer» ANSWER :`5:12:14`

Discussion

8268.	A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work finished one day earlier.How many days would it have been delayed if 5 more men were not employed?
Answer» ANSWER :1

Discussion

8269.	Two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability thatx^2+bx+c > 0 for all x in Ris
Answer» `23/81` `7/9` `32/81` `65/729` ANSWER :C

Discussion

8270.	There are two houses in parliament. One is lok sabha and the other one is rajya sabha and the member of parliaments (mps) in both the houses in 300 and 200 respectively. The average age of the member of lok sabha and rajya sabha is 40 years and 50 years respectively. A member of rajay sabha and becomes the members of the lok sabha. thus the average age of both the houses increases which one of the following statements is true/
Answer» The age of this MEMBER is greather than 50 YEARS The age of this member is LESS than 40 years The age of this member is GREATER than 40 but less than 50 years none of the above Answer :C

Discussion

8271.	The sides of a triangle are in geometric progression with common ratio rgt1. If the triangle is a right angled triangle, then r^(2) is given by ?
Answer» ANSWER :`(sqrt5-1)/(2)`

Discussion

8272.	A, B and C start together from the same place to walk round a circular path of length 12 km. A walks at the rate of 4 km/h. B 3 km/h and C (3)/(2) km / h.They will meet together at the starting place at the end of.
Answer» 10 hours 12 hours 15 hours 24 hours Solution :N/A

Discussion

8273.	Solve the following expressions. 2^-3 + (-2)^3
Answer»

Discussion

8274.	If x = 1 - y and x^(2) = 2 - y^(2) ,what is the value of xy ?
Answer» 1 2 `(-1)/(2)` `-1` ANSWER :C

Discussion

8275.	If theta is an acute angle and sintheta=costheta, then find the value of 2tan^(2)theta+sin^(2)theta-1.
Answer» `1(1)/(2)` `-7` 1 3 Answer :A

Discussion

8276.	Between two railway staions the fare of 1^(st), 2^(nd) and 3^(rd)class are in the ratio 8:6:3. But later on the fare of 1^(st) and 2^(nd)class is decreased by (1)/(6) and (1)/(12)spectively. In one year the no. of passengers of 1, 2nd and 3rd class are in the ratio for 4:9:24. If total tickets amounting Rs 355600 are sold then find the fare of all 3rd class.
Answer» 6400 170800 18800 172800 Answer :D

Discussion

8277.	A regular hexagon is inscirbed in a circle of radius R . Another circle is inscribed in the hexagon . Now anotherhexagon is inscribed in the second ( smaller ) circle . Whatis the sum of perimeters of both the hexagons ?
Answer» `(2 + sqrt(3)) R ` `3(2 + sqrt(3)) R ` `3 ( 3+ sqrt(2)) R ` none of these ANSWER :B

Discussion

8278.	A regular hexagon is inscirbed in a circle of radius R . Another circle is inscribed in the hexagon . Now anotherhexagon is inscribed in the second ( smaller ) circle . If thre are some more circle and hexagons inscribed in the similarway as given above, then the ratio of each side of outermosthexagon ( largest one ) to that of the fourth ( smaller cone ) hexagon is ( fourth hexagon means the hexagon which is inside the third hexagon from the outside ):
Answer» a. `9:3 SQRT(2) ` b. `16:9` C . `8:3 sqrt(3) ` d. none of these Answer :C

Discussion

8279.	A regular hexagon is inscirbed in a circle of radius R . Another circle is inscribed in the hexagon . Now anotherhexagon is inscribed in the second ( smaller ) circle . What is the ratio of area of inner circle to the outer circle ?
Answer» `3:4` `9:16` `3:8` NONE of these ANSWER :A

Discussion

8280.	What is the height of the cone which is formed by joining the two ends of a sector of circle with radius r and angle 60^(@) ?
Answer» `sqrt35/6r` `sqrt25/6r` `(r^2)/SQRT3` NONE of these Answer :A

Discussion

8281.	What is the ratio of two numbers x and yi I. 40 %of x is of 50 . 30 % of y is 25 % of 72
Answer»

Discussion

8282.	On selling an article for Rs. 155 a man bears loss of 16(2)/(3)%. Find the cost price of article.
Answer» ANSWER :RS. 186

Discussion

8283.	Find the value of x and y respectively for log_(10)(x^(2)y^(3))=7 and log_(10)(x/y)
Answer» x=10, y=100 x=100, y=10 x=10, y=20 none of these ANSWER :B

Discussion

8284.	If a,b,c are all positive then the minimum value of the expression(a^2+a+1)(b^2+b+1)(c^2+c+1)//abc is:
Answer» 3 9 27 1 Answer :C

Discussion

8285.	For the every theta,0ltthetale90, find the values of the following angle 2sin^2theta-3sintheta=-1
Answer» `30^@` `45^@` `90^@` both (a) and (C) ANSWER :D

Discussion

8286.	A and B run a joint venture in which the profit earned by A and B are in the ratio 28 : 15. A invest his share.at the start of the year and B joins in after 9 months of the same year. What is the ratio of their initial investment, respectively?
Answer» `7:15` `8:13` `5:17` `15:7` ANSWER :A

Discussion

8287.	A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective . If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?
Answer» A.`136/345` B.`17/87` C.`316/435` D.`158/435` ANSWER :C

Discussion

8288.	A girl has to climb 12 steps. She climbs in either a single step or 2 steps simultaneously. In how many ways can she do it?
Answer» 233 233 322 232 Answer :A

Discussion

8289.	A certain number N when multiplied by 13, the resultant values consists entirely of sevens. The value of N is :
Answer» 123459 58829 59829 none of these Answer :C

Discussion

8290.	Which of the following figure will have maximum area if the perimeter of all figures is same ?
Answer» Square Octagon Circle Hexagon Answer :C

Discussion

8291.	A dishonest dealer sells the goods at 15% loss on cost price but uses false weight. So his over all profit is 25% find the gm. In 1 kg. that he used.
Answer» ANSWER :680

Discussion

8292.	10 engines consume 80 litres diesel when each is running 9 hours a day. How much diesel will be required for 10 engines, each running 15 hours a day, whereas 6 engines of the former type consume as much as 5 engines of latter type ?
Answer» 160 LITRE 75 litre 80 litre `111 FRAC 1\9` litre Answer :A

Discussion

8293.	If f(y)=3y^3+2y^2+1 then find the value of f(3)
Answer» SOLUTION :`F(X)=2x^3+3x^2+5` ` f(2)=2(2)^3+3(2)^2+5=33`

Discussion

8294.	If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the form ax^(2)+bx+1=0, having real roots is :
Answer» 6 7 8 none of these Answer :B

Discussion

8295.	If p = a sin x +b cos x and q = a cos x - b sin x, then what is the value of p^2 + q^2 ?
Answer» a +B AB `a^2 +b^2` `a^2 -b^2` ANSWER :C

Discussion

8296.	The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5^2) + … is:
Answer» `1/3 (N^3 + n^2 + 1)` `1/6 n(n+1) (2n^2 + 2n-1)` `1/3 (2n^2 + 2n -1)` NONE of these Answer :B

Discussion

8297.	In a Delta ABC, G is centroid and AD, BE, CF are medians. Find the area of quadrilateral BDGF, if the area of Delta ABC=72 cm^(2)
Answer» 12 `CM^(2)` `16 cm^(2)` `24 cm^(2)` `8 cm^(2)` Answer :A

Discussion

8298.	A chord AB of a circle C_1 of radius (square root 3 + 1) cm touches a circel C_2 of radius (square root 3 -1) cm, then the length of AB is
Answer» `8 VI CM` `4root43 cm ` `4 VI cm` 2^/1 cm Answer :B

Discussion

8299.	Length of inradius of an equilateral triangle is 3 cm . Find the height of this triangle .
Answer» ANSWER :9

Discussion

8300.	If log_(q)(xy)=3 and log_(q)(x^(2)y^(3))=4, find the value of log_(q)x,
Answer» 4 5 3 2 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

The maximum possible difference between the 4 digit numbers formed by using the 4 different digit 1,2,3,5 is :

If 5sin^(2)theta+3cos^(2)theta=4. Find the value of sin theta and cos theta:

The value of ((x^(a))/(x^(b)))^(a+b) xx ((x^(b))/(x^(c)))^(b+c) xx ((x^(c))/(x^(a)))^(c + a) is equal to

A train leaves Mumbai for Goa at 3 : 45 pm and goes at the rate of 50 km/h. Another train leaves Goa for Mumbai at 2:35 pm and goes at the rate of 60 km/h. If the distance between Mumbai and Goa is 510 km, at what distance from Mumbai will the two trains meet?

If x and y are possible prime number and if x^2 - 2y^2 = 1, then the value of x + y is :

A sum of Rs. 1260 is borrowed from a money lender at 10% per annum compounded annually. If the amount is to be paid back in two equal annual installments, find the annual installment.

Express the following in the lowest terms. ((2x^(2)+1)/(x-1)+(x-1)/(x+1))xx((x^(2)-1)/(2x)):

The number of zeros at the end of the following expression: P = {(2 xx 4 xx 6 xx 8 xx 10 xx .. 50) xx (55 xx 60 xx 65 xx 70 xx 75 xx …..100)}

Find the remainder when 32^(32) is divided 5.

A postman goes with a speed of 36 km/h what is the speed of postman in mile/h?

Two trains are running 40km/h and 20 km/h respectively, in the same direction. The fast train com- pletely passes a man sitting in the slow train in 5 s. The length of the fast a train is

find the valueof ""^(10)C_5

A, B and C can alone complete a work in 15, 25 and 30 days respectively. A and B started the work and after some days A is replaced by C. Now the work is completed in a further of 6 4/11 days. How much of the total work did B did ?

The ratio of copper and nickel by weight in the two alloys X and Y are 2:7 and 5:4. How many kilogram of the alloy X and Y are required to make 42 kg of new alloy Z in Which the ratio of copper and nickel is same?

A,B and C started a business with their investments in the ratio 1:2:4. After 6 months A invested the half amount more as before and B invested twice the amount as before while C withdrew 1/4 the of the their investments. Find the ratio of their profits at the end of the year.

A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work finished one day earlier.How many days would it have been delayed if 5 more men were not employed?

Two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability thatx^2+bx+c > 0 for all x in Ris

The sides of a triangle are in geometric progression with common ratio rgt1. If the triangle is a right angled triangle, then r^(2) is given by ?

A, B and C start together from the same place to walk round a circular path of length 12 km. A walks at the rate of 4 km/h. B 3 km/h and C (3)/(2) km / h.They will meet together at the starting place at the end of.

Solve the following expressions. 2^-3 + (-2)^3

If x = 1 - y and x^(2) = 2 - y^(2) ,what is the value of xy ?

If theta is an acute angle and sintheta=costheta, then find the value of 2tan^(2)theta+sin^(2)theta-1.

A regular hexagon is inscirbed in a circle of radius R . Another circle is inscribed in the hexagon . Now anotherhexagon is inscribed in the second ( smaller ) circle . Whatis the sum of perimeters of both the hexagons ?

A regular hexagon is inscirbed in a circle of radius R . Another circle is inscribed in the hexagon . Now anotherhexagon is inscribed in the second ( smaller ) circle . What is the ratio of area of inner circle to the outer circle ?

What is the height of the cone which is formed by joining the two ends of a sector of circle with radius r and angle 60^(@) ?

What is the ratio of two numbers x and yi I. 40 %of x is of 50 . 30 % of y is 25 % of 72

On selling an article for Rs. 155 a man bears loss of 16(2)/(3)%. Find the cost price of article.

Find the value of x and y respectively for log_(10)(x^(2)y^(3))=7 and log_(10)(x/y)

If a,b,c are all positive then the minimum value of the expression(a^2+a+1)(b^2+b+1)(c^2+c+1)//abc is:

For the every theta,0ltthetale90, find the values of the following angle 2sin^2theta-3sintheta=-1

A and B run a joint venture in which the profit earned by A and B are in the ratio 28 : 15. A invest his share.at the start of the year and B joins in after 9 months of the same year. What is the ratio of their initial investment, respectively?

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective . If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

A girl has to climb 12 steps. She climbs in either a single step or 2 steps simultaneously. In how many ways can she do it?

A certain number N when multiplied by 13, the resultant values consists entirely of sevens. The value of N is :

Which of the following figure will have maximum area if the perimeter of all figures is same ?

A dishonest dealer sells the goods at 15% loss on cost price but uses false weight. So his over all profit is 25% find the gm. In 1 kg. that he used.

10 engines consume 80 litres diesel when each is running 9 hours a day. How much diesel will be required for 10 engines, each running 15 hours a day, whereas 6 engines of the former type consume as much as 5 engines of latter type ?

If f(y)=3y^3+2y^2+1 then find the value of f(3)

If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the form ax^(2)+bx+1=0, having real roots is :

If p = a sin x +b cos x and q = a cos x - b sin x, then what is the value of p^2 + q^2 ?

The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5^2) + … is:

In a Delta ABC, G is centroid and AD, BE, CF are medians. Find the area of quadrilateral BDGF, if the area of Delta ABC=72 cm^(2)

A chord AB of a circle C_1 of radius (square root 3 + 1) cm touches a circel C_2 of radius (square root 3 -1) cm, then the length of AB is

Length of inradius of an equilateral triangle is 3 cm . Find the height of this triangle .

If log_(q)(xy)=3 and log_(q)(x^(2)y^(3))=4, find the value of log_(q)x,