8677 + Interview Questions in Maths in Class 14 Page 154 InterviewSolution

7651.	The per cent profit made when an article is sold for ₹ 56 is thrice as when it is sold for ₹ 42. The cost price of the article is :
Answer» ₹ 48 ₹ 49 ₹ 50 ₹ 35 Answer :D

Discussion

7652.	In the following series, a wrong is given. Find out that wrong number. 4,5,10,18,34,56,95
Answer» ANSWER :9

Discussion

7653.	A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} The average of all the perfect squares of the Set C is :
Answer» 35 33 30.5 31.5 Answer :B

Discussion

7654.	Solve for x, log_x(8x-3)-log_x(4)=2
Answer» ANSWER :`x=3/2` or `1/2`

Discussion

7655.	Find the sum to infinity of the series 1+3x+5x^2+7x^3+oow h e n\|x\|
Answer» `2(1-x^n-1)` `2X(1-x^n-1)//(1-x^2)` `2x(1-x^n-1)//(1-x)^2+1-(2n-1)x^n//(1-x)` NONE of these Answer :C

Discussion

7656.	An article is made of two metals and its weight is 150 gram and the cost of the article is Rs. 570. If the weight of two metals in the article is interchanged then the cost of the article becomes Rs. 480. If per gram cost of metals is in the ratio 4 : 3. Find the weight of each metal .
Answer» ANSWER :120 GM 30 gm

Discussion

7657.	Three points X:Y and Z are concyclic to the largest circle with radius 15 cm and there is another concentric circle with radius 8 cm such that XY and XZ are tangents to the smaller circle. At how many points does YZ intersect the larger circle?
Answer» 0 1 2 can't say Answer :C

Discussion

7658.	Convert the following decimals into percentage : (i) 0.35 (ii) 8.12 (iii) 0.018
Answer» SOLUTION :`0.35=35%`

Discussion

7659.	The average of 50 numbers is 38. If the two numbers 45 and 55 are not considered, what will be the average of remaining numbers?
Answer» ANSWER :50.7

Discussion

7660.	Simplify (sintheta+sectheta)^(2)+(costheta+cosectheta)^(2).
Answer» `(1+sectheta)^(2)` `(1+COSECTHETA)^(2)` `1+(cosectheta + sectheta)^(2)` `(1-cosectheta.sectheta)^(2)` Answer :C

Discussion

7661.	The number of 5-digit numbers that can be formed using the digits 3,4,5,6 and 7 without repetition is____.
Answer» 120 80 150 100 Answer :B

Discussion

7662.	The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : curved surface area
Answer» Solution :Curved SURFACE AREA = `pi RL =(22)/7 XX 35 xx 91` =`10010 cm^2`

Discussion

7663.	If the graph of the equation 2x+3y=6 form a triangle with coordinates axis, then the area of triangle will be
Answer» 2 SQ units 3 sq units 6 sq units 1 sq units Answer :B

Discussion

7664.	If log_(2) log_(10)4x=1, then the value of x is:
Answer» `1//25` 25 5 none of these Answer :B

Discussion

7665.	What is the probability that four S's come consecutively in the word MISSISSIPPI?
Answer» `4/165` `4/135` `24/165` NONE of these Answer :A

Discussion

7666.	If A:B=4:5,B:C=3:4,C:D=7:11, then A:D is
Answer» 0.12777777777778 0.91319444444444 0.90555555555556 0.29513888888889 Answer :B

Discussion

7667.	A man, a woman and a girl worked for a contractor for the same 'period. A man is twice efficient as a woman and a woman is thrice efficient as a girl ₹10000 were givento all of them. What is the sum of money received by a woman and a girl together?
Answer» ₹ 5500 ₹ 4500 ₹ 4000 ₹ 6000 Answer :C

Discussion

7668.	ifa^(3-x)b^(5x)=a^(x+5)b^(3x),then the value ofx log (b/a)is :b(i) loga(ii) logb(iii) logx(iv) 1
Answer» loga logb logx 1 Answer :A

Discussion

7669.	At kul-kul petrol pump the operator gives 5% less petrol but he sells it at the cost price. What is his profit in this way?
Answer» `5%` `5.6%` `5.26%` `4.78%` ANSWER :C

Discussion

7670.	What is theleast number which should be subtracted from 0.000326 to make it a perfectsquare?(a)0.000002 (b) 0.000004 (c) 0.02 (d) 0.04
Answer» `0.000004` `0.000002` 0.04 0.02 Answer :B

Discussion

7671.	Mr. A opened a workshop investing 40,000. He invested additional amount of 10,000 every year. After two years his Student B joined him with an amount of 85,000. There after B did not invest any additional amount. On completion of four year form the opening of workshop they earned an amount of 1,95,000. What will be A's share in the earning.-
Answer» ANSWER :RS. 110000

Discussion

7672.	Five coins are tossed at a time. Then, the probability of obtaining atleast one tail is
Answer» `31/32` `1/32` `1/5` `5/32` ANSWER :A

Discussion

7673.	If the letters of the word VERMA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word VERMA is :
Answer» 108 117 810 180 Answer :C

Discussion

7674.	Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O' clock. At what time will they again ring simultaneously?
Answer» 12 hrs. 2 min. 48 sec. 12 hrs. 3 min. 12 hrs. 3 min. 20 sec 12 hrs. 3 min. 44 sec. Answer :A

Discussion

7675.	If (y-1) is a factor of (y^2+3qy-2q) then the value of q is:
Answer» -2 -1 1 2 Answer :B

Discussion

7676.	Find the volume of the sector of a sphere of radius 25 cm. The radius of the base of the conical base is 7 cm.
Answer» `344sqrt2 PI` `(1280)/3 pi` `120sqrt3 pi` `(1250)/3 pi` ANSWER :D

Discussion

7677.	A person from A starts to walk at 7 am and reaches B at 11 am similarly A person from B starts to walk at 8 am and reaches A at 11:30 am. Find the time at which the meet each other.
Answer» ANSWER : 9 am

Discussion

7678.	Average score of 52 students of a class is 85. If top five scorer are excluded then the average is decreased by 2. If all five scorer are distinct integer and none of them is less than 80.4 scorer out of 5 form a arithmetic progression having common difference 2. Find the maximum possible score of the topper.
Answer» ANSWER :187

Discussion

7679.	Two circles of radius 4 and 3 cm areat some distance s.t. lengthof the transversal common tangent and length of direct common tangent are in the ratio 1 : 2 findthe distance b/w centres
Answer» ANSWER :` SQRT( 65) ` CM

Discussion

7680.	1/(log_(2)a) + 1/(log_(4)a) + 1/(log_(8)a)+….. To n terms =(n(n+1))/k, then k is equal to:
Answer» `log_2a^2` `log_2(a/2)` `log_(a)2` NONE of these Answer :A

Discussion

7681.	Solve the following problems independently of each other Rollmallis a fast food outlet, which delivers the veg and non-veg rolls in its vicinity. Bawarchi is an employee, who is assigned to pack the rolls in the boxes for delivery. He has 5 rolls in hand to pack in the 3 boxes so that none of the boxes remains empty. Find the number of ways of packing the rolls, if all therolls and all the boxes are identical.
Answer» (a) 3 (B) 0 (c) 1 (d) 2 Answer :D

Discussion

7682.	Solve the following problems independently of each other Rollmallis a fast food outlet, which delivers the veg and non-veg rolls in its vicinity. Bawarchi is an employee, who is assigned to pack the rolls in the boxes for delivery. He has 5 rolls in hand to pack in the 3 boxes so that none of the boxes remains empty. Find the number of ways of packing the rolls, if each roll is distinct but all the boxes are identical.
Answer» 120 24 25 40 Answer :C

Discussion

7683.	Solve the following problems independently of each other Rollmallis a fast food outlet, which delivers the veg and non-veg rolls in its vicinity. Bawarchi is an employee, who is assigned to pack the rolls in the boxes for delivery. He has 5 rolls in hand to pack in the 3 boxes so that none of the boxes remains empty. Find the number of ways of packing the rolls, if each roll is identical but each box is distinct.
Answer» 3 5 6 4 Answer :C

Discussion

7684.	Solve the following problems independently of each other Rollmallis a fast food outlet, which delivers the veg and non-veg rolls in its vicinity. Bawarchi is an employee, who is assigned to pack the rolls in the boxes for delivery. He has 5 rolls in hand to pack in the 3 boxes so that none of the boxes remains empty. Find the number of ways of packing the rolls, if each role and each box both are distinct.
Answer» 150 50 60 90 Answer :A

Discussion

7685.	Mangoes are bought at Rs 10 per 100. Find the rate at which per 100 must be sold so that the gain on Rs 100 may be equal to SP% 250 mangoes.
Answer» RS. 10 `11(1)/(2)` Rs. 12 Rs `13(1)/(3)` Answer :D

Discussion

7686.	A square piece of paper is folded three times along its diagonal to get an isosceles triangle whose equal sides are 15 cm. What is the area of the unfolded original piece of paper?
Answer» 8,100 SQ CM 3,600 sq cm 900 sq cm 2,500 sq cm Answer :C

Discussion

7687.	Tika Chand has a weighing balance in which there is a technical fault. The right pan ofhis balance measures always 200 g more than its left pan. Tika Chand as usual misutilise this balance in his business. While purchasing the articles he puts goods in the left pan and weight in the right pan while selling he reverse the order Le,goods in the right pan and weight in the left pan. He uses only 2 kg weight for the measurement and to measure 2n kg weight he measures n times by 2-2 kg but he sells goods at cost price. What is his profit percentage ?
Answer» `20%` `22(2)/9%` `18(2)/11%` none of these Answer :B

Discussion

7688.	A milkman sells the milk at the cost price but he mixes the water (freely available) in it and thus he gains 9.90%. The quantity of water in the mixture of 1 litre is:
Answer» 83.33 mL 90.90mL 99.09mL can't be determined Answer :A

Discussion

7689.	A man standing in one corner of a square football field observes that the angle subtended bya pole in the corner just diagonally opposite to this corner is 60^@. Whenhe retires 80 m from the corner, along the same straight line, he finds the angle to be 30^@. The length of the field is
Answer» a)20 m b)`40 SQRT 2m` C)`40 m ` d)`20 sqrt 2m` ANSWER :C

Discussion

7690.	cotx-tanx=?
Answer» `COT2X` `2cot^(2)x` `2cot2x` `cot^(2)2x` ANSWER :B::C

Discussion

7691.	Sumof factorsof 240.
Answer» ANSWER :`=744`

Discussion

7692.	Find the sum to n terms of the following series : 2+5+14+41 + …
Answer» `3/4(3^n-1)+n/2` `3/4(3^n-1)+n/2` (3n+1) NONE of these Answer :B

Discussion

7693.	(4^(61) + 4^(62) + 4^(63)) is divisible by
Answer» 3 11 13 17 Answer :A

Discussion

7694.	Once my peon went to the office of Skyline courier with 4 different envelopes. The clerk in the office measured the weights in all possible pairs. The weight obtained are 59 gm, 61 gm, 62 gm, 63gm, 64 gm and 66 gm The weight of the heaviest envelope is :
Answer» 35 gm 36 gm 34 gm Can't determined Answer :C

Discussion

7695.	A circular wire of radius 2.5 cm is cut and bent to as to lie along the circumference of a hoop whose radius is 1.29 m. Find (in degrees) the angles which is subtended at the centre of the loop :
Answer» `9.67^(@)` `7.69^(@)` `6.97^(@)` NONE of these Answer :C

Discussion

7696.	Management city has m parallel roads running East-West and n parallel roads running North-South. How many shortest possible routes are possible to go from one corner of the city to its diagonally opposite corner?
Answer» `"^(m+n)C_(m-1)` `"^(m+n)C_n` `"^(m+n-2)C_(m-1)` NONE of these Answer :C

Discussion

7697.	The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2 . Find the height of the mountain.
Answer» ANSWER :D

Discussion

7698.	Awadh express and Bokaro express start simultaneously from Lucknow and Jamshedpur towards each other and continuously shuttle between these two places. Every time these trains meet each other, they turn back after exchanging their respective speeds, the initial ratio of their speeds is 2 : 1. Let these two trains first time meet at Patna, then what is the ratio of distance covered by Awadh express and Bokaro express till they meet for the third time at the same place Patna :
Answer» `1:1` `14:13` `10:11` NONE of these Answer :C

Discussion

7699.	Two trains start simultaneously from Kanpur and Agra towards each other with speeds of 70 km/hr and 90 km/hr respectively. When they met each other it was observed that one of them had covered 350 km more than the other. Find distance between Kanpur and Agra?
Answer» ANSWER :B

Discussion

7700.	If (x+y)=13 and xy=36, then the value of (x^(3)+y^(3)) is :
Answer» 120 60 98 82 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

The per cent profit made when an article is sold for ₹ 56 is thrice as when it is sold for ₹ 42. The cost price of the article is :

In the following series, a wrong is given. Find out that wrong number. 4,5,10,18,34,56,95

A={2,3,5,7,11,...89,97} B={4,6,8,10,12,...98,100} C={3,9,15,21,27,33...,99} The average of all the perfect squares of the Set C is :

Solve for x, log_x(8x-3)-log_x(4)=2

Find the sum to infinity of the series 1+3x+5x^2+7x^3+oow h e n|x|

An article is made of two metals and its weight is 150 gram and the cost of the article is Rs. 570. If the weight of two metals in the article is interchanged then the cost of the article becomes Rs. 480. If per gram cost of metals is in the ratio 4 : 3. Find the weight of each metal .

Three points X:Y and Z are concyclic to the largest circle with radius 15 cm and there is another concentric circle with radius 8 cm such that XY and XZ are tangents to the smaller circle. At how many points does YZ intersect the larger circle?

Convert the following decimals into percentage : (i) 0.35 (ii) 8.12 (iii) 0.018

The average of 50 numbers is 38. If the two numbers 45 and 55 are not considered, what will be the average of remaining numbers?

Simplify (sintheta+sectheta)^(2)+(costheta+cosectheta)^(2).

The number of 5-digit numbers that can be formed using the digits 3,4,5,6 and 7 without repetition is____.

The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : curved surface area

If the graph of the equation 2x+3y=6 form a triangle with coordinates axis, then the area of triangle will be

If log_(2) log_(10)4x=1, then the value of x is:

What is the probability that four S's come consecutively in the word MISSISSIPPI?

If A:B=4:5,B:C=3:4,C:D=7:11, then A:D is

A man, a woman and a girl worked for a contractor for the same 'period. A man is twice efficient as a woman and a woman is thrice efficient as a girl ₹10000 were givento all of them. What is the sum of money received by a woman and a girl together?

ifa^(3-x)b^(5x)=a^(x+5)b^(3x),then the value ofx log (b/a)is :b(i) loga(ii) logb(iii) logx(iv) 1

At kul-kul petrol pump the operator gives 5% less petrol but he sells it at the cost price. What is his profit in this way?

What is theleast number which should be subtracted from 0.000326 to make it a perfectsquare?(a)0.000002 (b) 0.000004 (c) 0.02 (d) 0.04

Five coins are tossed at a time. Then, the probability of obtaining atleast one tail is

If the letters of the word VERMA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word VERMA is :

Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O' clock. At what time will they again ring simultaneously?

If (y-1) is a factor of (y^2+3qy-2q) then the value of q is:

Find the volume of the sector of a sphere of radius 25 cm. The radius of the base of the conical base is 7 cm.

A person from A starts to walk at 7 am and reaches B at 11 am similarly A person from B starts to walk at 8 am and reaches A at 11:30 am. Find the time at which the meet each other.

Two circles of radius 4 and 3 cm areat some distance s.t. lengthof the transversal common tangent and length of direct common tangent are in the ratio 1 : 2 findthe distance b/w centres

1/(log_(2)a) + 1/(log_(4)a) + 1/(log_(8)a)+….. To n terms =(n(n+1))/k, then k is equal to:

Mangoes are bought at Rs 10 per 100. Find the rate at which per 100 must be sold so that the gain on Rs 100 may be equal to SP% 250 mangoes.

A square piece of paper is folded three times along its diagonal to get an isosceles triangle whose equal sides are 15 cm. What is the area of the unfolded original piece of paper?

A milkman sells the milk at the cost price but he mixes the water (freely available) in it and thus he gains 9.90%. The quantity of water in the mixture of 1 litre is:

A man standing in one corner of a square football field observes that the angle subtended bya pole in the corner just diagonally opposite to this corner is 60^@. Whenhe retires 80 m from the corner, along the same straight line, he finds the angle to be 30^@. The length of the field is

cotx-tanx=?

Sumof factorsof 240.

Find the sum to n terms of the following series : 2+5+14+41 + …

(4^(61) + 4^(62) + 4^(63)) is divisible by

Once my peon went to the office of Skyline courier with 4 different envelopes. The clerk in the office measured the weights in all possible pairs. The weight obtained are 59 gm, 61 gm, 62 gm, 63gm, 64 gm and 66 gm The weight of the heaviest envelope is :

A circular wire of radius 2.5 cm is cut and bent to as to lie along the circumference of a hoop whose radius is 1.29 m. Find (in degrees) the angles which is subtended at the centre of the loop :

Management city has m parallel roads running East-West and n parallel roads running North-South. How many shortest possible routes are possible to go from one corner of the city to its diagonally opposite corner?

The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2 . Find the height of the mountain.

Two trains start simultaneously from Kanpur and Agra towards each other with speeds of 70 km/hr and 90 km/hr respectively. When they met each other it was observed that one of them had covered 350 km more than the other. Find distance between Kanpur and Agra?

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