8677 + Interview Questions in Maths in Class 14 Page 50 InterviewSolution

2451.	A semi-circle and a circle with same radius inscribe a square of greatest possible area. What is the ratio of area of square inscribed by semicircle to that by circle?
Answer» 2:5 1:2 1:4 4:5 Answer :A

Discussion

2452.	If (x+y)=13 and xy=36 then the value of (x^3+y^3) is:
Answer» 369 936 693 none of these Answer :C

Discussion

2453.	If 6 note boks cost Rs. 45, how much would 8 note books cost?
Answer» SOLUTION :More NOTEBOOKS more COST, LESS notebooks, less cost Hence 8 note books cost ₹60.

Discussion

2454.	When the parabola never intersects the X-axis then which of the following is certainly true?
Answer» `DGT0` `alt0` D = 0 `b^2le4ac` ANSWER :D

Discussion

2455.	A scalene triangle PQRm, such that PQ = 25, QR = 51 and PR = 74, is rotated completely about PQ, what is the volume of the solid formed in this way?
Answer» `3300 PI cm^3` `4800 pi cm^3` `3600 pi cm^3` `4900 pi cm^3` ANSWER :A

Discussion

2456.	If the volumeand curved surface area of a cylinderare 269.5 cm^(3) and154 cm^(2) respectively , what is the heightof the cylinder ?
Answer» 6 3.5 7 can't be determined Answer :C

Discussion

2457.	The ratio of milk and water in mixtures of four containers are 5:3, 2:1, 3:2 and 7:4 re spectively. In which container is the quantity of milk, relative to water, minimum?
Answer» First Second Third Fourth Answer :C

Discussion

2458.	The unit digit of the expression (1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ……+ (100!)^(100!) :
Answer» 0 1 2 7 Answer :D

Discussion

2459.	If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is
Answer» EQUAL to 1 greater than 1 less than 1 equal to 2 Answer :C

Discussion

2460.	A walks at a uniform rate of 2 km/h and 2 h after his start, B cycles after him at the uniform rate of 5 km/h. How far from the starting point will B catch A1
Answer» a. `6 (2)/(3)`KM b. `6 (1)/(3) `KM c. `6 (5)/(7)` km d. `6 (3)/(7)` km Answer :A

Discussion

2461.	(A + B) together can do a piece of work in 12 days. While (B + C) together can do a piece of work in 15 days. (C + A) together can do a piece of work in 20 days. In how many days will this work be completed by(A + B + C) together ?
Answer» ANSWER :`(A+B+C) to 10` DAYS

Discussion

2462.	A person bought some article at rate of 6 for Rs 20 and bought double number of articles at the rate of 8 for Rs 26. And sold all the stock at the rate of 24 for Rs 118. Find the profit or loss% ?
Answer» ANSWER :50% PROFIT

Discussion

2463.	A person calculates 16(2)/(3)% profit at S.P. find his profit at C.P.
Answer» 20% 25% 30% 40% ANSWER :20% profit

Discussion

2464.	Find irrational number between 2 and 3.
Answer» ANSWER :` SQRT(2,3) = sqrt(6)`

Discussion

2465.	A fruit merchant makes a profit of 20% by selling a commodity at a certain price. If he charges Rs 3 more on each commodity, he would gain 50%. Find the cost price and first selling price of that commodity.
Answer» ANSWER :RS. 12

Discussion

2466.	How many 5 digit numbers contain exactly two 7's in them?
Answer» 4268 6804 2340 1269 Answer :B

Discussion

2467.	Ratio between marked price of two piano xx to piano yy is 4 : 5. Shopkeeper allowed d¾ discount on piano xx and( d + 18) % discount on piano yy, so selling price of both piano becomes equal. If shopkeeper made a profit of 20% ?n piano xx and 25% on piano yy and profit made on piano yy is ₹ 384 more thanthat of piano xx, then find the cost price of piano xx and piano yy respectively.
Answer» `₹ 9000 xx ₹ 8400` `₹9600 xx ₹ 9216` `₹9800 xx ₹ 9012` `₹9600 xx ₹8488` Solution :Let marked priceof PIANO XX and YY be400x and 500x respectively. ATQ- `400 x xx ((100-d))/(100) = 500x xx ((100-d-18))/(100)` `400-4d = 410 - 5d` d = 10% Cost priceof Piano`XX = (400xx(90)/(100))/(120) xx 100= ₹300x` Cost priceof Piano `YY = (500x xx((100-28))/(100))/(125) xx 100= ₹ 288x` ATQ `(500x xx (72)/(100) - 288x) - (400x xx(90)/(100)-300x) = 384` `72x - 60x = 384` `x = 32` Cost priceof Piano `XX = 32 xx 300 = ₹ 9600` Costprice ofPiano `YY = 32 xx 288 = ₹ 9216`

Discussion

2468.	When two numbers are separately divided by 33, the remainders are 21 and 28 respectively. If the sum of the two numbers is divided by 33, the remainder will be
Answer» 10 12 14 16 Answer :D

Discussion

2469.	Solve the following expression : 6/14 div 2/7
Answer»

Discussion

2470.	A's salary is half that of B. If A got a 50% raise in his salary and B got a 25% raise in his salary, then the percentage increase in combined salaries of both is
Answer» `30%` `33.33%` `55%` `28%` ANSWER :B

Discussion

2471.	The ratio of length and breadth of a rectangular park is 4:2. If a cat running along the boundary of the park at the speed of 18 km/hr completes one round in 10 minutes, find the area of the park in square meters.
Answer» 500000 SQ. m. 450000 sq. m. 680000 sq. m. 550000 sq. m. Answer :C

Discussion

2472.	MDTV is a very popular TV channel. It telecasts the programmes from 8:00 a.m. to 12:00pm .It telecasts 60 advertisements each of 8 seconds. What is the percentage of time devoted in a day for the advertisements?
Answer» `1.5%` `3.67%` `2%` `2.5%` ANSWER :B

Discussion

2473.	The quotient 12.5 is divided by 1/6 is :
Answer» 75 25 2.48 none of these Answer :A

Discussion

2474.	A train has been stopped for 6 minutes. Next stations is 36 kms away and to reach on scheduled time its speed is increased by 4 km/h. Find its initial speed.
Answer» ANSWER :36 km/h

Discussion

2475.	Two trains of lengths 105 m and 90 m, respectively run at the speeds of 45km/h and72km/h,respectively in opposite directions on parallel tracks. Find the time which they take to cross each other.
Answer» a. 5s B. 6s c. 7s d. 8s Answer :B

Discussion

2476.	The profit percentage of A and B is same on selling the articles at ₹ 1800 each but A calculates his profit on the selling price while B calculates it correctly on the cost price which is equal to20%. What is the difference in their profits?
Answer» ₹ 360 ₹ 60 ₹ 540 ₹ 450 Answer :B

Discussion

2477.	If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____
Answer» A) RS.700 B) Rs.800 C) Rs.900 D) Rs.1000 Answer :Rs. 4000,Rs. 6000. Rs. 3000

Discussion

2478.	Find the value of ^10C_1 + ^10C_2 + ^10C_3 + ... + ^10C_9
Answer» 100 `10^2 - 10` `10^2 - 11` `2(2^9 -1)` ANSWER :D

Discussion

2479.	The sum of four consecutive even number is 60. What is the sum of the squares of these numbers ?
Answer» 1545 920 2015 2136 Answer :C

Discussion

2480.	The average marks in english subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 61 of actual marks 48, 59 and 67 respectively, then what would be correct average ?
Answer» 57 58 59.5 58.5 Answer :C

Discussion

2481.	p,q,r are the decimal numbers (e.g. 5.8) and [x] means the greatest integer less than or equal to x and A = [p + q + r] and B = [p] + [q]+ [r], then the maximum value of A - B is:
Answer» 0 2 2.99 none of these Answer :B

Discussion

2482.	The speed of Vimal and Kamal are 30 km/h and 40 km/h initially Kamal is at a place L and vimal is at a place M.the distance between L and M is 650 km.Vimal started his journey 3 hours earlier the Kamal to meet each other.if they meet each other at a place P somewhere between L and M, then What is the distance between L and P ?
Answer» 220 km 320 km 330 km none of these Answer :B

Discussion

2483.	Let alpha, beta be such that pi lt alpha -beta lt 3 pi. If sin alpha + sin beta =- (21)/(65) and cos alpha + cos beta =- (27)/(65) andif the value of cos "" (alpha - beta)/(2) =(-a)/(sqrtb), then a xx b=
Answer» `(-3)/(SQRT(130))` `(3)/(sqrt(130))` `(6)/(65)` `(-6)/(65)` ANSWER :A::C

Discussion

2484.	p^2-8sqrt83+45=0 q^2-12sqrt3+105=0
Answer» `pltq` `pgtq` `pleq` con't be determined Answer :C

Discussion

2485.	The speed of Vimal and Kamal are 30 km/h and 40 km/h initially Kamal is at a place L and vimal is at a place M.the distance between L and M is 650 km.Vimal started his journey 3 hours earlier the Kamal to meet each other.if they meet each other at a place P somewhere between L and M then the distance between P and M is:
Answer» 220 km 250 km 330 km 320 km Answer :C

Discussion

2486.	In the farm - house of Bhuwan Kisan, there were total 14 deerand ducks. One day a thief entered secretely in the farm - house and after killing all the deer and ducks the took away all the stuff except their legs. When Bhuwan noticed it he has found there 38 legs of deer and ducks. The number of deer in the farm house was :
Answer» 5 8 9 10 Answer :A

Discussion

2487.	Neeraj invested certain amount in schemes A and B for 2 ears in the ratio of 3:5respectively. The schemes A and B offer copoind interest compound annually and simple interest respectively. What is the amount invested in scheme A? I. Rate of interest offered by scheme A is 20% per annum and the rate of interest offered by scheme B is 25% less than that offered by scheme A. II. Amount of interest accrued from scheme B is more than the amount of interest accrued from scheme A by Rs. 900.
Answer» if the DATA in STATEMENT I ALONE are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question. if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question. id the data in both statements I and II alone are surfficient to answer the question. if the data in both statements I and II together are not sufficient to answer the question. Solution : `=(5x xx15xx2)/(100){3x(1+(20)/(100))^(2)-3x}=900` `=(3x)/(2)-{3xxx(36)/(25)-3x}=900=(3x)/(2){(108x-75x)/(25)}=900` `(75x66x)/(50)=900=9x=900xx50=Rs.5000` Amount invested in scheme `A=3xx5000=15000`

Discussion

2488.	Ifx+ y + z -13,then the maximum value of(x -2)(y+ 1) (z - 3) is
Answer» 25 30 54 27 Answer :D

Discussion

2489.	A question paper has two parts, part A and part B, each containing 10 questions. If the student has to choose 8 from part A and 5 from part B, in how many ways can he choose the question?
Answer» ANSWER :11340

Discussion

2490.	A man has 4 sons. There are 6 proposals of marriage for his sons. In how many ways can they select a proposal for their marriages, such that none of them marry with more than one girl?
Answer» 180 270 360 none of these Answer :C

Discussion

2491.	In Figure, there are two concentric circles with centre Oof radii 5 cm and 3 cm. From an external point P ,tangents PA and PBare drawn to these circles. If A P=12 cm ,find the length of BPdot
Answer» 12 CM `12 SQRT(3)` `4 sqrt(10)` `10 sqrt(4)` ANSWER :C

Discussion

2492.	A milkman bought 15 L of milk are mixed 3 L of water in it. If the price per kg of the mixture becomes 22, what is cost price of the milk per litre?
Answer» `? 28.00` `?26.40` `?24.00` `? 22.60` ANSWER :B

Discussion

2493.	If a plane cuts the hemisphere parallel to the great circle of the hemisphere, the portion of hemisphere that has the great circle is called as
Answer» Cone sector zone spherical cap Answer :D

Discussion

2494.	Two horses were sold at Rs 1599 each. First was sold at 25% profit and second at 20% loss. Find the over all profit or loss %.
Answer» ANSWER :`(100)/(41)%`

Discussion

2495.	What is the angle of elevation of the Sun when the shadow of a pole is √3 times the length of the pole?
Answer» `30^@` `45^@` `60^@` NONE of these ANSWER :A

Discussion

2496.	Dhaniram' is a bread seller who marked up price of each bread packet by 150% above and allow a discount of 40% and made a profit of ₹ 30 on each bread packet. Ifhe allows 37.5% discount on each packet, then find how much profit he gets on selling 7 5 bread packets?
Answer» ₹2550 ₹2731.50 ₹2500 ₹2531.25 Solution :Let the cost PRICEOF each bread packet= ₹ a. So, marketpriceof each bread = 2.5a. And sellingprice of each bread packet `=2.5a XX (60)/(100) = 1.5a` Given , 1.5a - a = 30 a = ₹ 60. NEW sellingprice `= 2.5a xx (5)/(8) = 1.5625a` Sellingpriceof onebread packet`= 1.5625 xx 60 = 93.75` Required profit on selling80 bread packets `= (93.75 - 60 ) xx 75 = ₹ 2531.25`

Discussion

2497.	The sides AB, BC, CA, of a triangle ABC have 3, 4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is
Answer» A. 105 B. 205 C. 221 D. NONE of these Answer :B

Discussion

2498.	A copper wire when bent in the form of a square encloses an area of 121 cm^(2). Y the same wire is bent in the form of a circle, find the area enclosed by it.
Answer» `122 m^2` `112 m^2` `154 m^2` `308 m^2` Answer :C

Discussion

2499.	If a, b, c, d are are positive real numbers such that a+b+c+d=2, then M=(a+b)(c+d) satisfies the relation is:
Answer» `0leMle1` `1 LE M le 2` `2 le M le 3` `3leMle4` ANSWER :A

Discussion

2500.	Between 3 O'clock and 4 O'clock when will the two hands make 36^(@) angle between them:when hour-hand is ahead of minute-hand.
Answer» Answer :(i) 9 MIN 49 s (ii) 22 min 54 s

Discussion

Explore topic-wise InterviewSolutions in .

A semi-circle and a circle with same radius inscribe a square of greatest possible area. What is the ratio of area of square inscribed by semicircle to that by circle?

If (x+y)=13 and xy=36 then the value of (x^3+y^3) is:

If 6 note boks cost Rs. 45, how much would 8 note books cost?

When the parabola never intersects the X-axis then which of the following is certainly true?

A scalene triangle PQRm, such that PQ = 25, QR = 51 and PR = 74, is rotated completely about PQ, what is the volume of the solid formed in this way?

If the volumeand curved surface area of a cylinderare 269.5 cm^(3) and154 cm^(2) respectively , what is the heightof the cylinder ?

The ratio of milk and water in mixtures of four containers are 5:3, 2:1, 3:2 and 7:4 re spectively. In which container is the quantity of milk, relative to water, minimum?

The unit digit of the expression (1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ……+ (100!)^(100!) :

If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

A walks at a uniform rate of 2 km/h and 2 h after his start, B cycles after him at the uniform rate of 5 km/h. How far from the starting point will B catch A1

(A + B) together can do a piece of work in 12 days. While (B + C) together can do a piece of work in 15 days. (C + A) together can do a piece of work in 20 days. In how many days will this work be completed by(A + B + C) together ?

A person bought some article at rate of 6 for Rs 20 and bought double number of articles at the rate of 8 for Rs 26. And sold all the stock at the rate of 24 for Rs 118. Find the profit or loss% ?

A person calculates 16(2)/(3)% profit at S.P. find his profit at C.P.

Find irrational number between 2 and 3.

A fruit merchant makes a profit of 20% by selling a commodity at a certain price. If he charges Rs 3 more on each commodity, he would gain 50%. Find the cost price and first selling price of that commodity.

How many 5 digit numbers contain exactly two 7's in them?

When two numbers are separately divided by 33, the remainders are 21 and 28 respectively. If the sum of the two numbers is divided by 33, the remainder will be

Solve the following expression : 6/14 div 2/7

A's salary is half that of B. If A got a 50% raise in his salary and B got a 25% raise in his salary, then the percentage increase in combined salaries of both is

The ratio of length and breadth of a rectangular park is 4:2. If a cat running along the boundary of the park at the speed of 18 km/hr completes one round in 10 minutes, find the area of the park in square meters.

MDTV is a very popular TV channel. It telecasts the programmes from 8:00 a.m. to 12:00pm .It telecasts 60 advertisements each of 8 seconds. What is the percentage of time devoted in a day for the advertisements?

The quotient 12.5 is divided by 1/6 is :

A train has been stopped for 6 minutes. Next stations is 36 kms away and to reach on scheduled time its speed is increased by 4 km/h. Find its initial speed.

Two trains of lengths 105 m and 90 m, respectively run at the speeds of 45km/h and72km/h,respectively in opposite directions on parallel tracks. Find the time which they take to cross each other.

The profit percentage of A and B is same on selling the articles at ₹ 1800 each but A calculates his profit on the selling price while B calculates it correctly on the cost price which is equal to20%. What is the difference in their profits?

If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____

Find the value of ^10C_1 + ^10C_2 + ^10C_3 + ... + ^10C_9

The sum of four consecutive even number is 60. What is the sum of the squares of these numbers ?

The average marks in english subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 61 of actual marks 48, 59 and 67 respectively, then what would be correct average ?

p,q,r are the decimal numbers (e.g. 5.8) and [x] means the greatest integer less than or equal to x and A = [p + q + r] and B = [p] + [q]+ [r], then the maximum value of A - B is:

Let alpha, beta be such that pi lt alpha -beta lt 3 pi. If sin alpha + sin beta =- (21)/(65) and cos alpha + cos beta =- (27)/(65) andif the value of cos "" (alpha - beta)/(2) =(-a)/(sqrtb), then a xx b=

p^2-8sqrt83+45=0 q^2-12sqrt3+105=0

Ifx+ y + z -13,then the maximum value of(x -2)(y+ 1) (z - 3) is

A question paper has two parts, part A and part B, each containing 10 questions. If the student has to choose 8 from part A and 5 from part B, in how many ways can he choose the question?

A man has 4 sons. There are 6 proposals of marriage for his sons. In how many ways can they select a proposal for their marriages, such that none of them marry with more than one girl?

In Figure, there are two concentric circles with centre Oof radii 5 cm and 3 cm. From an external point P ,tangents PA and PBare drawn to these circles. If A P=12 cm ,find the length of BPdot

A milkman bought 15 L of milk are mixed 3 L of water in it. If the price per kg of the mixture becomes 22, what is cost price of the milk per litre?

If a plane cuts the hemisphere parallel to the great circle of the hemisphere, the portion of hemisphere that has the great circle is called as

Two horses were sold at Rs 1599 each. First was sold at 25% profit and second at 20% loss. Find the over all profit or loss %.

What is the angle of elevation of the Sun when the shadow of a pole is √3 times the length of the pole?

Dhaniram' is a bread seller who marked up price of each bread packet by 150% above and allow a discount of 40% and made a profit of ₹ 30 on each bread packet. Ifhe allows 37.5% discount on each packet, then find how much profit he gets on selling 7 5 bread packets?

The sides AB, BC, CA, of a triangle ABC have 3, 4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is

A copper wire when bent in the form of a square encloses an area of 121 cm^(2). Y the same wire is bent in the form of a circle, find the area enclosed by it.

If a, b, c, d are are positive real numbers such that a+b+c+d=2, then M=(a+b)(c+d) satisfies the relation is:

Between 3 O'clock and 4 O'clock when will the two hands make 36^(@) angle between them:when hour-hand is ahead of minute-hand.