8677 + Interview Questions in Maths in Class 14 Page 59 InterviewSolution

2901.	A cube of maximum possiblevolume is cut from the sphere of diameter3 sqrt3 cm . What is the ratio of volume of the sphere to that of cube ?
Answer» `(11)/(7) ` `SQRT(2)""(pi)/(7)` `(7)/(11)` none of these Answer :C

Discussion

2902.	Find the remiander when 32^(32) is divided 7.
Answer» 6 1 2 4 Answer :d

Discussion

2903.	10 typists can type 600 pages in 8 hours. Find the average number of pages typed by each typist in an hour.
Answer» 8.5 pages 8 pages 7.5 pages 7 pages Answer :C

Discussion

2904.	In the given figure, there are two circles with the centres O and O' touching each other internally at P. Q Tangents TQ and TP are drawn to the larger circle and tangents TP and TR are drawn to the smaller circle. Find TQ: TR :
Answer» `8:7` `7:8` `5:4` `1:1` ANSWER :D

Discussion

2905.	A man travels the first part of his journey at 20 km/h and the next at 70 km/h covering the entire journey at an average speed of 50 km/h What is the ratio of the distance that he covered ta 20 km/h to that he covered at 70 km/h?
Answer» 4:21 3:22 1:4 3:5 Answer :A

Discussion

2906.	If the total cost of 73 articles having equal cost is Rs 5, 110 and the total selling price of 89 such articles is Rs 5, 607, then find the loss or gain percentage in the transaction
Answer» ANSWER :10% LOSS

Discussion

2907.	Find the y-intercept of (x^2(x+7)^2(x-2)^3)/(x(x^2+7))
Answer» Solution :For y-intercept `f(0)=(0(0+7)^2xx(0-2)^3)/(0(0+7))=(0xx(49)(-8))/(0xx(7))=0/0` That means the given function is not defined at `x=0` Therefore there is no Y-intercept for this, rational function.

Discussion

2908.	The square root of 12250000 is :
Answer» 3254 3724 3258 3500 Answer :D

Discussion

2909.	If costheta=(5)/(13), then find the value of tan^(2)theta+sec^(2)theta. 0^(@)ltthetalt90^(@)&tantheta=sqrt(6+sqrt(6+sqrt(6+....oo))), then find the value of sec^(2)theta.
Answer» (a)`(39)/(23)` (B)`(39)/(25)` (C)`(313)/(25)` (d)`(329)/(21)` Answer :C

Discussion

2910.	94.95xx13.03+sqrt(35.98)xx14.99=53xxsqrt(?)
Answer» 25 144 225 625 Solution :`1235+6xx15=53xxsqrt(X)` `SQRT(x)=25` `x=65`

Discussion

2911.	Find the co-ordinates of the incentre of the triangle whose vertices are the points(4,-2) , (5,5) and (-2,4) :
Answer» (7/3,2/3) (5/2,5/2) (6/5,5) NONE of these Answer :B

Discussion

2912.	The graph of the function y=16x^(2)+8(a+2)x-3a-2 is strictly above the x - axis, then number of integral velues of 'a' is
Answer» `2ltalt15` `-15ltalt-2` `17ltalt30` `AGT0` ANSWER :B

Discussion

2913.	Milinda takes 8 1/3 hours more when she works alone in comparison of when she works with Bill. While Bill takes 5 1/3 hours more when he work alone in comparison towhen he works with Milinda. How long it will take Bill to complete the work alone?
Answer» 10 HOURS 15 hours 18 hours 12 hours Answer :D

Discussion

2914.	By how muchdoes 6/(7//8)exceed (6//7)/8?6 1/8(b) 6 3/4(c) 7 3/4(d) 7 5/6
Answer» `6(1)/(8)` `6(3)/(4)` `7(3)/(4)` `7(5)/(6)` ANSWER :B

Discussion

2915.	Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, respectivelu. Suppose a = 6, b = 10 and the triangle is 15 sqrt3. If angle ACB is obtus and if r denotes than radius of the incircle of the triangle, then the value of r^(2) is _____
Answer» `SQRT 3` `2 SQRT3` 3 4.5 Answer :C

Discussion

2916.	The smallest five digit number which is divisible by 12, 18 and 21 is:
Answer» 10080 30256 10224 50321 Answer :A

Discussion

2917.	A person bought 16 articles for Rs 25 and sold 5 articles for Rs 12 so overall he gains Rs 134. Find the number of articles he bought?
Answer» ANSWER :`160`

Discussion

2918.	ABCD is a rectangle . P and Q are two point on AB andAD s.t. area of Delta APQ, Delta PBC and angle COQareequalIf BP = 2 cm. Find AP
Answer» ANSWER :`X = SQRT(5 )+ 1`

Discussion

2919.	Answer the following questions based on the information given below. In a kite, the shorter diagonal intersects the longer diagonal in the ratio of 6:7. and the longer diagonal of the kite is 52 cm and perimeter of the kite is 208 cm. If there are four non-overlapping circles inscribed in each of the four triangles formed due to the intersection of two perpendicular diagonals of the kite, find the perimeter of the quadrilateral that is formed by joining the centers of these four circles.
Answer» 76 CM `2(19+sqrt362)cm` `2(19+sqrt360)cm` `root(4)(362) cm` Answer :B

Discussion

2920.	Answer the following questions based on the information given below. In a kite, the shorter diagonal intersects the longer diagonal in the ratio of 6:7. and the longer diagonal of the kite is 52 cm and perimeter of the kite is 208 cm. Find the area of the circle inscribed in this kite.
Answer» 2080sq. cm 1263 SQ. cm 1591 sq. cm 2340 sq. cm Answer :C

Discussion

2921.	If (x+(1)/(x))=2sqrt3, then the value of (x^(3)-(1)/(x^(3))) is :
Answer» `12sqrt3` 18 `18sqrt3` NONE of these Answer :C

Discussion

2922.	If sin(alpha+beta)=(4)/(5), sin(alpha-beta)=(5)/(13), find the value of tan 2alpha:
Answer» 16/36 63/16 36/16 none of these Answer :B

Discussion

2923.	Which of the following symbols are not acceptable ? (i) ._(35)^(79)Br (ii) .^(79)Br (iii) ._(79)^(35)Br (iv) ._(35)Br
Answer» 9 27 279 127 Answer :D

Discussion

2924.	ABCD is a parallelogram AB is divided at P and CD at Q so that AP:PB = 3:2 and CQ:QD = 4:1 if PQ meets AC at R then AR =
Answer» `2/7` AC `3/7`AC `4/7`AC `5/7`AC Answer :B

Discussion

2925.	A train passes a standing man in 6 s and a 210 m long platform in 16 s. Find the length and the speed of the train.
Answer» ANSWER :`= 21 m//s`

Discussion

2926.	A, B and C are three contestants in a 500 m race. If A can give B a start of 20 m and A can give C a start of 32 m, how many metres start can B give to C in the same race?
Answer» 12 m 14 m 12.5 m 13.5 Answer :C

Discussion

2927.	What is 35% of 42% of 6/7th of 500 ?
Answer» 36 44 52 63 Answer :A

Discussion

2928.	Pure milk cost ₹20 per litre. After adding water the milkman sells the mixture at the rate is ₹ 18 per litre , thereby making a profit of 25%. In what ratio does the mix the two ?
Answer» `18:7` `18:5` `12:7` `12:5` Solution :Mean cost price `=₹ ((100)/(125)xx18)=₹ 14.4` per LITRE By the rule of alligation CP of 1L milk CP of 1 L water Required rate `=144:56=18:7`.

Discussion

2929.	Let p be a prime number strictly greater than 3. Then p^2+17 will leave a remainder k, when divided by 12, the value of k is :
Answer» 1 5 6 none of these Answer :C

Discussion

2930.	The remainder when is divided by 10 is :
Answer» 3 6 0 can't be determined Answer :B

Discussion

2931.	A certain number of men typist can type a complete book in five hours less than the time taken by some women typist. Work completed by one man in one hour is same as the work completed by one woman in hour. to Which one of the following ratio of number of men to number of women can satisfy the above given condition {:((i),2.5,(ii),10.3),((iii),9.7,(iv),10.7):}
Answer» only (II) only (ii) and (iii) only (i) and (ii) all of the above Solution :Let Aham invested for t days `{:("Rajan""GAGAN""AHMAD"),(900xx12 :1800xx6:XT):}` Here, x willdepend on t and value of t can be maximum 6 months ans minimum 1 month On putting t=6 `X=1800` Putting `t=4` `x=2700` Putting`t=2` `x=5400`

Discussion

2932.	A fruit seller buys 300 oranges at 5 for Rs. 8 and sold at 2 Rs. 5. Find : (i) the cost price of each oragne. (ii) The selling price of each orange. (iii) profit or lass on selling one orange (iv) his total profit or loss on selling all the oranges.
Answer» ANSWER :(i) Rs. 1.60 (II) Rs. 250 (iii) Rs. 0.90. (iv) Rs. 270 .

Discussion

2933.	Seema purchased an item for 9600 and sold it for loss of 5%. From that money she purchased another item and sold it for gain of 5%. What is her overall gain/loss ?
Answer» 36 24 54 38 Answer :C

Discussion

2934.	Jalela and Dalela have to clear their respective loans by paying 3 equal annual instalments of Rs. 30000 each . Jalela pays @ 10% per annum of simple interest while Dalela pays 10% per annum compound interest. What is the difference in their payments ?
Answer» A). RS. 300 B). Rs. 425 C). Rs. 245 D). Rs. 333.33 Answer :A

Discussion

2935.	A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={1,9,15,21,25,27,33...95,99} Any 10 elements of Set A are transferred to the Set B,then the average of Set B :
Answer» (A) 52 (B) 49.87 (C) 55.46 (D) can't be determined Answer :C

Discussion

2936.	There is a vegular hexagon andequilateral triangle inside a circle . If the side of the hexagonis a and sideof equilateral triangle in b.Find the relation between a and b.
Answer» `a^(2) = 3 B^(2)` ` b^(2) = 3A^(2)` ` a^(2) = 2 b^(2)` `b^(2) = 2 a^(2)` ANSWER :B

Discussion

2937.	Three solid spheres have their radii r_(1),r_(2)andr_(3) .The spheres are melted to form a solid sphere of bigger radius of the new sphere is:
Answer» `(r_(1)+r_(2)+r_(3))` `(r_(1)^(2)+r_(2)^(2)+r_(3)^(2))^((1)/(2))` `(r_(1)^(3)+r_(2)^(3)+r_(3)^(3))^((1)/(3))` `(r_(1)^(4)+r_(2)^(4)+r_(3)^(4))^((1)/(4))` ANSWER :C

Discussion

2938.	Find the sum of 6 terms of the series 2+6+18+…..
Answer» 400 `2^(47)` `2^(40)` none Answer :B

Discussion

2939.	If (log x)/(l + m -2n) = (log y)/(m + n -2l) = (log z)/(n + l -2m), then xyz is equal to
Answer» 0 1 lmn 2 Answer :C

Discussion

2940.	The probabilites thata student willreceivean A,B ,Cor Dgradeare 0.4, 0.3,0.2and 0.1respectively. Findthe probabiltythata stuedentwillreciveatmostaCgrade.
Answer» `0.3` `0.7` `0.36` NONE of these Answer :A

Discussion

2941.	A's salary is 20% less than B's salary. Then B's salary is more than A's salary by
Answer» `0.2` `0.5` `0.8` `0.6` ANSWER :B

Discussion

2942.	If P : Q : R = 2:3:4, then find P/Q : Q/R : R/P
Answer» a)`8 : 9 : 24` b)`9 : 8 : 24` c)`24 : 8 : 9` d)`8 : 24 : 9` ANSWER :A

Discussion

2943.	The probabilites thata student willreceivean A,B ,Cor Dgradeare 0.4, 0.3,0.2and 0.1respectively. Findthe probabiltythata stuedentwillrecive Notan Agrade .
Answer» `0.4` `0.6` `0.56` NONE of these Answer :B

Discussion

2944.	In 1 km race, the ratio of the speeds of two contestants L and M is 3 :4. L has a start of 280 m. Then, L wins by how many metres?
Answer» 40 M 60 M 45 M 65 M Answer :D

Discussion

2945.	If x:y::5:2, then (x ^(2) - xy + y ^(2))/( x ^(2) + xy + y ^(2)) = ?
Answer» `(68)/(35)` `(19)/(39)` `(17)/(86)` `(15)/(23)` Answer :B

Discussion

2946.	Two squares have sides x c mand (x+4). The sum of their areas is 656 c m^2. Find the sides of the squares.
Answer» 8 CM, 10 cm 12 cm, 15 cm 6 cm, 10 cm `16CM ,20 cm Answer :D

Discussion

2947.	Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. The pass percentage in 2008 was
Answer» a)`67 %` B) `73%` c) `79 2/3 %` d) `82 6/17` % Answer :A

Discussion

2948.	Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. The number of students passed in third division in the year 2008 was
Answer» a) 50 b) 60 c) 70 d) 80 Answer :A

Discussion

2949.	Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. In which year the school had the best result for H. S in respect of percentage of pas candidates ?
Answer» a) 2008 b) 2009 c) 2010 d) The PERCENTAGE of pass CANDIDATES are same for the three YEARS. ANSWER :B

Discussion

2950.	Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. The percentage of the students passed in 2nd division in the year 2010 was
Answer» A) 0.3 B) 0.4 C) 0.5 D) 0.6 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

A cube of maximum possiblevolume is cut from the sphere of diameter3 sqrt3 cm . What is the ratio of volume of the sphere to that of cube ?

Find the remiander when 32^(32) is divided 7.

10 typists can type 600 pages in 8 hours. Find the average number of pages typed by each typist in an hour.

In the given figure, there are two circles with the centres O and O' touching each other internally at P. Q Tangents TQ and TP are drawn to the larger circle and tangents TP and TR are drawn to the smaller circle. Find TQ: TR :

A man travels the first part of his journey at 20 km/h and the next at 70 km/h covering the entire journey at an average speed of 50 km/h What is the ratio of the distance that he covered ta 20 km/h to that he covered at 70 km/h?

If the total cost of 73 articles having equal cost is Rs 5, 110 and the total selling price of 89 such articles is Rs 5, 607, then find the loss or gain percentage in the transaction

Find the y-intercept of (x^2(x+7)^2(x-2)^3)/(x(x^2+7))

The square root of 12250000 is :

If costheta=(5)/(13), then find the value of tan^(2)theta+sec^(2)theta. 0^(@)ltthetalt90^(@)&tantheta=sqrt(6+sqrt(6+sqrt(6+....oo))), then find the value of sec^(2)theta.

94.95xx13.03+sqrt(35.98)xx14.99=53xxsqrt(?)

Find the co-ordinates of the incentre of the triangle whose vertices are the points(4,-2) , (5,5) and (-2,4) :

The graph of the function y=16x^(2)+8(a+2)x-3a-2 is strictly above the x - axis, then number of integral velues of 'a' is

Milinda takes 8 1/3 hours more when she works alone in comparison of when she works with Bill. While Bill takes 5 1/3 hours more when he work alone in comparison towhen he works with Milinda. How long it will take Bill to complete the work alone?

By how muchdoes 6/(7//8)exceed (6//7)/8?6 1/8(b) 6 3/4(c) 7 3/4(d) 7 5/6

Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, respectivelu. Suppose a = 6, b = 10 and the triangle is 15 sqrt3. If angle ACB is obtus and if r denotes than radius of the incircle of the triangle, then the value of r^(2) is _____

The smallest five digit number which is divisible by 12, 18 and 21 is:

A person bought 16 articles for Rs 25 and sold 5 articles for Rs 12 so overall he gains Rs 134. Find the number of articles he bought?

ABCD is a rectangle . P and Q are two point on AB andAD s.t. area of Delta APQ, Delta PBC and angle COQareequalIf BP = 2 cm. Find AP

Answer the following questions based on the information given below. In a kite, the shorter diagonal intersects the longer diagonal in the ratio of 6:7. and the longer diagonal of the kite is 52 cm and perimeter of the kite is 208 cm. Find the area of the circle inscribed in this kite.

If (x+(1)/(x))=2sqrt3, then the value of (x^(3)-(1)/(x^(3))) is :

If sin(alpha+beta)=(4)/(5), sin(alpha-beta)=(5)/(13), find the value of tan 2alpha:

Which of the following symbols are not acceptable ? (i) ._(35)^(79)Br (ii) .^(79)Br (iii) ._(79)^(35)Br (iv) ._(35)Br

ABCD is a parallelogram AB is divided at P and CD at Q so that AP:PB = 3:2 and CQ:QD = 4:1 if PQ meets AC at R then AR =

A train passes a standing man in 6 s and a 210 m long platform in 16 s. Find the length and the speed of the train.

A, B and C are three contestants in a 500 m race. If A can give B a start of 20 m and A can give C a start of 32 m, how many metres start can B give to C in the same race?

What is 35% of 42% of 6/7th of 500 ?

Pure milk cost ₹20 per litre. After adding water the milkman sells the mixture at the rate is ₹ 18 per litre , thereby making a profit of 25%. In what ratio does the mix the two ?

Let p be a prime number strictly greater than 3. Then p^2+17 will leave a remainder k, when divided by 12, the value of k is :

The remainder when is divided by 10 is :

A fruit seller buys 300 oranges at 5 for Rs. 8 and sold at 2 Rs. 5. Find : (i) the cost price of each oragne. (ii) The selling price of each orange. (iii) profit or lass on selling one orange (iv) his total profit or loss on selling all the oranges.

Seema purchased an item for 9600 and sold it for loss of 5%. From that money she purchased another item and sold it for gain of 5%. What is her overall gain/loss ?

Jalela and Dalela have to clear their respective loans by paying 3 equal annual instalments of Rs. 30000 each . Jalela pays @ 10% per annum of simple interest while Dalela pays 10% per annum compound interest. What is the difference in their payments ?

A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={1,9,15,21,25,27,33...95,99} Any 10 elements of Set A are transferred to the Set B,then the average of Set B :

There is a vegular hexagon andequilateral triangle inside a circle . If the side of the hexagonis a and sideof equilateral triangle in b.Find the relation between a and b.

Three solid spheres have their radii r_(1),r_(2)andr_(3) .The spheres are melted to form a solid sphere of bigger radius of the new sphere is:

Find the sum of 6 terms of the series 2+6+18+…..

If (log x)/(l + m -2n) = (log y)/(m + n -2l) = (log z)/(n + l -2m), then xyz is equal to

The probabilites thata student willreceivean A,B ,Cor Dgradeare 0.4, 0.3,0.2and 0.1respectively. Findthe probabiltythata stuedentwillreciveatmostaCgrade.

A's salary is 20% less than B's salary. Then B's salary is more than A's salary by

If P : Q : R = 2:3:4, then find P/Q : Q/R : R/P

The probabilites thata student willreceivean A,B ,Cor Dgradeare 0.4, 0.3,0.2and 0.1respectively. Findthe probabiltythata stuedentwillrecive Notan Agrade .

In 1 km race, the ratio of the speeds of two contestants L and M is 3 :4. L has a start of 280 m. Then, L wins by how many metres?

If x:y::5:2, then (x ^(2) - xy + y ^(2))/( x ^(2) + xy + y ^(2)) = ?

Two squares have sides x c mand (x+4). The sum of their areas is 656 c m^2. Find the sides of the squares.

Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. The pass percentage in 2008 was

Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. The number of students passed in third division in the year 2008 was

Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. In which year the school had the best result for H. S in respect of percentage of pas candidates ?

Direction : The sub divided bar diagram given below depicts H.S Students of school for three years. Study the diagram and answer the questions. The percentage of the students passed in 2nd division in the year 2010 was