8677 + Interview Questions in Maths in Class 14 Page 42 InterviewSolution

2051.	The unit digit of the following expression (1!)^99 + (2!)^98 + … (99!)^1 is:
Answer» A)1 B)3 C)7 D)6 Answer :C

Discussion

2052.	How many digits are there in square root of 1838736.
Answer» ANSWER :4 DIGITS

Discussion

2053.	A hollow garden roller 42 cm wide with a girth of 132 cm is made of iron 3 cm thick . The volume of the iron of the roller is :
Answer» `15544 cm^3` `15444 cm^3` `15545 cm^3` NONE of the above Answer :B

Discussion

2054.	If a+1/a=4. then the value of a^2+1/a^2 is :
Answer» 6 7 9 can't be determined Answer :B

Discussion

2055.	The sum of the radius and the circumference of a circle is 51 cm . The area of the circleis :
Answer» 151 cm 152 cm 154 cm data insufficient Answer :C

Discussion

2056.	If tan alpha = n tan beta and sin alpha = m sin beta, then cos^2 alpha is
Answer» ANSWER :`(m^(2)-1)/(N^(2)-1)`

Discussion

2057.	In the given figure, PQ is the tangent of the circle. Line segment PR intersects the circle at N and R. PQ = 15 cm, PR = 25 cm, find PN:
Answer» 15 cm 10 cm 9 cm 6 cm Answer :C

Discussion

2058.	Solve the following expressions : 3+2-1xx4div2
Answer» SOLUTION :`3+2-1xx4div2=3+2-1xx2=3+2-2=3`

Discussion

2059.	A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to 1 1/4 times its original area 4 by increasing only its length. Its new perimeter is
Answer» a. 123 cm b. 125 cm c. 119 cm d. 121 cm Answer :A

Discussion

2060.	A certain job was assigned to a group of men to do in 20 days. But 12 men did not turn up for the job and the remaining men did the job in 32 days. The original number of men in the group was :
Answer» 32 36 42 40 Answer :A

Discussion

2061.	Abhinav saves ₹ 25 by getting 6.66% discount on a textbook. What is the amount of money (in ₹) paid by him?
Answer» 450 350 225 375 Answer :B

Discussion

2062.	There are 6 red and 4 green points on the circumference of a circle. How many coves polygons can be formed such that all the vertices of the polygon must be from these ten points only and having at least one green vertex?
Answer» 1226 530 730 926 Answer :D

Discussion

2063.	259^(148)-123^(43)Find Unit digit
Answer» ANSWER :`=4`

Discussion

2064.	A room is 16 m long ,7 m broadand 8 m high. Find the cost of white washing the four walls of room at Rs. 7.5 per m^(2), white washing is notto be done on the doors and windows , which occupy 65 m^2.
Answer» SOLUTION :Area of 4 walls of a ROOM`=2(16+7)xx8=368m^2` Nt area of 4 walls`=368-65=303m^2` thereforeCost of white washing =` 303xx7.5=₹2272.5`

Discussion

2065.	Sanjay earned a profit of ₹ 600 by selling 100kg of a mixture of A and B types of rice at total price of ₹ 2200. What was the proportion of A and B types of rice in the mixture if the cost prices of A and B types of rice are ₹ 20 and ₹ 10 per kg respectively ?
Answer» `4:1` `2:5` `3:2` `5:2` Solution :CP of 100kg of mixture `=200-600=₹ 1600` CP of 1KG of mixture `=1600//100=16` By the Method of ALLIGATION : REQUIRED ratio `=3:2`.

Discussion

2066.	A housewife has 1 ltof solution that contains milk and water in the ratio 3 : 1. She adds 250 ml of3 : 2 solution of milk and water to it and then uses 250 ml of the combined mixture to make curd. How much of pure milk is she left with?
Answer» 720 ML 700ml 750ml 815ml Answer :720 ml

Discussion

2067.	The total number of seven digit numbers so that the sum of digits is even
Answer» 250000 4500000 `35xx10^5` NONE of these Answer :B

Discussion

2068.	In India there were only three bicycle making companies in the given period. The following table shows the production of units (in 000) Which of the following statements is/are correct ? (i) Atlas cycles hae recorded the fastest growth rate. (ii) Total bicycles production was the highest in 1993 (iii) Hero cycles on an average account for 48% of total bicycles production
Answer» I only II only III only NONE of these Answer :D

Discussion

2069.	If the two roots of a quadratic equation are (-3)/2 and(-5)/3 which one of the following is the concerned quadratic equation?
Answer» `6x^2+19x+15` `199x+6x^2+15` `30x^2+95x+75` both (a) and (C) ANSWER :D

Discussion

2070.	At Lucknow Public School 1/9 students were absent in an exam and only 19/24 of those who appeared for the exam passed it. Now we know that 500 students failed in the exam. Total number of students registered for the exam is :
Answer» 2000 2400 2700 3000 Answer :C

Discussion

2071.	If the 3rd and 7th terms of an AP are 17 and 27 respectively find the fifth term of the AP:
Answer» 9 22 14 none of these Answer :B

Discussion

2072.	If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?
Answer» `4:3:2` `2:3:4` `1:2:3` `3:4:5` ANSWER :C

Discussion

2073.	In the solved problem what is the least possible 3 digit number which is divisible by 11 ?
Answer» Solution :SINCE the form the number is 60m - 1, where m = 1, 2, 3, ......... but the number (60 m - 1) should also be DIVISIBLE by 11 hence at m = 9 the number becomes 539 which is also divisible by 11. Thus the required number = 539 .

Discussion

2074.	Jagran group launched a new magazine in January 2004. The group printed 10000 copies initially for ₹ 50000. It distributed 20% of its stock freely as specimen copy and 25% of the rest magazines are sold at 25% discount and s rest at 16.66% discount whose printing price was ₹ 12 per copy .What is the overall gain or loss in the first month’s issue of magazine, if the magazine could not realize the income from advertisements or other resources?
Answer» 56% PROFIT 27% LOSS 16.66% profit 38% profit Answer :A

Discussion

2075.	There is milk and water in a certain ratio in a vessel.If we took out 16 lt water, then the ratio become 3 : 4. Then 35 lt milk is taken out, then the ratio becomes 2 : 5. Find the initial quantity of water.
Answer» 116 lt 112 lt 109 lt 110 lt Answer :A

Discussion

2076.	Production of wheat is2(1)/(4) times that of rice but price of rice is 1(1)/(4) times that of wheat . If a farmer produces wheat at the place of rice then his income will be change by ?
Answer» `1(4)/(5)` 4/5 `1(3)/(5)` 3/5 Answer :`33(1)/(3)%`

Discussion

2077.	A train runsfor3hat the speedof40 km /hand then for 4 (1)/(2) h atthe speedof 60 km/h , thus. It wantsto cover 3/5 th part of it.theremainingdistancedistancein4 h,findtheaveragespeedof thetrainforremainingdistance.
Answer» a. 45 km/h B. 35 km/h c. 80 km/h d. 65 km/h Answer :D

Discussion

2078.	If x+y=25 and x^(2)y^(3)+y^(2)x^(3)=25, what is the value of xy?
Answer» 0 `pm1` 5 4 Answer :B

Discussion

2079.	The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x + a^(2) - 3a + 2 = 0 Possesses roots of opposite signs lies in
Answer» `(-oo,0)` `(-oo,1)` (1,2) (4,9) ANSWER :C

Discussion

2080.	Find the area of a regular octagon with each side 'a' cm :
Answer» `2a^2(1+SQRT2)` `sqrt2 a(1+pi)` `a^2(sqrt2+2)` NONE of these Answer :A

Discussion

2081.	If for real values of costheta=x+(1)/(x), then
Answer» `THETA` is acute angle `theta` is right angle `theta` is obtuse angle The VALUE of `theta` is not possible Answer :D

Discussion

2082.	If x=3 and y=4 , find the value of 4x-3y
Answer» SOLUTION :`4x-3y=4xx3-3xx4=12-12=0`

Discussion

2083.	The ratio of efficiency of A and B is 3 : 5 and that of B and C is 2 : 3 respectively. If A and B work for 4 days then remaining work is finished by C in 8 days. Then in how many days B alone will finish the work?
Answer» ANSWER :`18(2)/(5)` DAYS

Discussion

2084.	If pth , qth, rth and sth terms of an A.P. and in G.P then p-q, q-r , r-s are in :
Answer» a. A.P. B. G.P. C. H.P. d. NONE of these Answer :B

Discussion

2085.	An arc AB of a cricle subtends an angle x radians at the centre O of the circle, Given that the area of the sector AOB is equal to the square of the length of the arc AB, find the volume of x.
Answer» SOLUTION :Let ARC AB =s Given that area of the SECTOR AOB =`(arcAB)^2` `:.s=1/2 r^2x=s^2` and s=rx `(becausetheta=x)` therefore 1/2 r^2x=r^2s^2`or x=1/2 radian

Discussion

2086.	A and B can do a piece of work in 24 and 30 days respectively. Both started the work and worked for 6 days. Then B leaves the work and C joins and the remaining work is completed by A and C together in 11 days. Find the days in which C alone can do the work
Answer» 80 100 120 130 Solution :A's 1 day work = 1/24 B's 1 day work `= 1/30` `(A+B)'s6` day work `= 9/20` Remaining work `= 11/20` it is done by A & C in 11 days. `therefore 11 xx (1/24 + 1/C) = 11/20` `RARR 1/24 + 1/C = 1/20` `rArr 1/C = 1 /120` `rArr C` can do work in 120 days.

Discussion

2087.	In the above figure , O is the centre of the circle, AB and CD are diameters. /_ COB =50^(@)=50^(@) . If E is the midpoint of AF, then find /_ ADF
Answer» `65^(@)` `55^(@)` `70^(@)` `50^(@)` Answer :C

Discussion

2088.	Rs. 43 are divided into 50 students. Each boy receive 94 paise and each girl receive 69 paise. Howmany boys and girls are present in the class?
Answer» ANSWER :`BOYS to 34 , GIRLS to 16`

Discussion

2089.	Which of the following computers are used in hospitals to measure the heartbeat of patients?
Answer» 400 678 560 700 Answer :D

Discussion

2090.	If p, q, r are positive and are in AP, the roots of quadratic equation px^(2) + qx + r = 0 are real for :
Answer» <P>`\|r/p-7\|ge4sqrt3` `\|p/r-7\|ge4sqrt3` all p and r no p and r Answer :B

Discussion

2091.	Find the value of 2 xx sqrt3 upto three places of decimal.
Answer» `1.732` `3.464` `4.64` `2.732` ANSWER :B

Discussion

2092.	If tantheta=(x)/(y), then (xsintheta+ycostheta)/(xsintheta-ycostheta) is equal to
Answer» `(X^(2)+y^(2))/(x^(2)-y^(2))` `(x^(2)-y^(2))/(x^(2)+y^(2))` `(x)/(SQRT(x^(2)+y^(2)))` `(y)/(sqrt(x^(2)+y^(2)))` ANSWER :A

Discussion

2093.	The value of (cot50^@)/(tan40^@)-1/2 cos55^@/sin35^@ is:
Answer» 1 -1 `1/2` `-1/2` ANSWER :C

Discussion

2094.	At what time between 9 O clockand 10 o clock will thehands of a clock be in thesamestraight line but not together
Answer» a.`16(2)/(11)` min past 9 b.`16(2)/(11)` min past 10 c.`16(4)/(11)` min past 9 d.`16(4)/(11)` min past 10 Answer :C

Discussion

2095.	A solid spherical ball is prepared by melting a cone and a cylinder having the same height and same base diameter equal to 2r. Find the radius of the sphere.
Answer» `2^(1//3)R` `2^(1//3)r^(2)` `4^(1//3)r` `18^(1//3)r` ANSWER :A

Discussion

2096.	Find the value of sin^(2)(120^(@)-A)+sin^(2)A+sin^(2)(120^(@)+A):
Answer» 44257 44230 44232 `sqrt3/2` ANSWER :B

Discussion

2097.	The 12th term of an AP is -13 and the sum of its first four terms is 24. Find the sum of its first 10 terms.
Answer» -48 -26 0 52 Answer :C

Discussion

2098.	Find the area of Deltawhose length of medians is 18 cm 24 cm & 30 cm.
Answer» ANSWER :288

Discussion

2099.	If X={4^n-3n-1:n in N} and {9(n-1):n in N, then precisely:
Answer» `XsubY` `XsubeY` X = Y `XsupeY` ANSWER :A

Discussion

2100.	A thief sees a jeep at a distance of 250 m, coming towards him at 36 km/h. Thief takes 5 seconds to realise that there is nothing but the police is approaching him by the jeep and start running away from police at 54 km/h. But police realise after 10 seconds, when the thief starts running away, that he is actually a thief and gives chase at 72 km/h. How long after thief saw police did police catchup with him and what is the distance police had to travel to do so?
Answer» 50 s, 1000 m 65 s, 1150 m 65 s, 1300 m 45 s, 1050 m Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

The unit digit of the following expression (1!)^99 + (2!)^98 + … (99!)^1 is:

How many digits are there in square root of 1838736.

A hollow garden roller 42 cm wide with a girth of 132 cm is made of iron 3 cm thick . The volume of the iron of the roller is :

If a+1/a=4. then the value of a^2+1/a^2 is :

The sum of the radius and the circumference of a circle is 51 cm . The area of the circleis :

If tan alpha = n tan beta and sin alpha = m sin beta, then cos^2 alpha is

In the given figure, PQ is the tangent of the circle. Line segment PR intersects the circle at N and R. PQ = 15 cm, PR = 25 cm, find PN:

Solve the following expressions : 3+2-1xx4div2

A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to 1 1/4 times its original area 4 by increasing only its length. Its new perimeter is

A certain job was assigned to a group of men to do in 20 days. But 12 men did not turn up for the job and the remaining men did the job in 32 days. The original number of men in the group was :

Abhinav saves ₹ 25 by getting 6.66% discount on a textbook. What is the amount of money (in ₹) paid by him?

There are 6 red and 4 green points on the circumference of a circle. How many coves polygons can be formed such that all the vertices of the polygon must be from these ten points only and having at least one green vertex?

259^(148)-123^(43)Find Unit digit

A room is 16 m long ,7 m broadand 8 m high. Find the cost of white washing the four walls of room at Rs. 7.5 per m^(2), white washing is notto be done on the doors and windows , which occupy 65 m^2.

Sanjay earned a profit of ₹ 600 by selling 100kg of a mixture of A and B types of rice at total price of ₹ 2200. What was the proportion of A and B types of rice in the mixture if the cost prices of A and B types of rice are ₹ 20 and ₹ 10 per kg respectively ?

A housewife has 1 ltof solution that contains milk and water in the ratio 3 : 1. She adds 250 ml of3 : 2 solution of milk and water to it and then uses 250 ml of the combined mixture to make curd. How much of pure milk is she left with?

The total number of seven digit numbers so that the sum of digits is even

If the two roots of a quadratic equation are (-3)/2 and(-5)/3 which one of the following is the concerned quadratic equation?

At Lucknow Public School 1/9 students were absent in an exam and only 19/24 of those who appeared for the exam passed it. Now we know that 500 students failed in the exam. Total number of students registered for the exam is :

If the 3rd and 7th terms of an AP are 17 and 27 respectively find the fifth term of the AP:

If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

In the solved problem what is the least possible 3 digit number which is divisible by 11 ?

There is milk and water in a certain ratio in a vessel.If we took out 16 lt water, then the ratio become 3 : 4. Then 35 lt milk is taken out, then the ratio becomes 2 : 5. Find the initial quantity of water.

Production of wheat is2(1)/(4) times that of rice but price of rice is 1(1)/(4) times that of wheat . If a farmer produces wheat at the place of rice then his income will be change by ?

A train runsfor3hat the speedof40 km /hand then for 4 (1)/(2) h atthe speedof 60 km/h , thus. It wantsto cover 3/5 th part of it.theremainingdistancedistancein4 h,findtheaveragespeedof thetrainforremainingdistance.

If x+y=25 and x^(2)y^(3)+y^(2)x^(3)=25, what is the value of xy?

The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x + a^(2) - 3a + 2 = 0 Possesses roots of opposite signs lies in

Find the area of a regular octagon with each side 'a' cm :

If for real values of costheta=x+(1)/(x), then

If x=3 and y=4 , find the value of 4x-3y

The ratio of efficiency of A and B is 3 : 5 and that of B and C is 2 : 3 respectively. If A and B work for 4 days then remaining work is finished by C in 8 days. Then in how many days B alone will finish the work?

If pth , qth, rth and sth terms of an A.P. and in G.P then p-q, q-r , r-s are in :

An arc AB of a cricle subtends an angle x radians at the centre O of the circle, Given that the area of the sector AOB is equal to the square of the length of the arc AB, find the volume of x.

A and B can do a piece of work in 24 and 30 days respectively. Both started the work and worked for 6 days. Then B leaves the work and C joins and the remaining work is completed by A and C together in 11 days. Find the days in which C alone can do the work

In the above figure , O is the centre of the circle, AB and CD are diameters. /_ COB =50^(@)=50^(@) . If E is the midpoint of AF, then find /_ ADF

Rs. 43 are divided into 50 students. Each boy receive 94 paise and each girl receive 69 paise. Howmany boys and girls are present in the class?

Which of the following computers are used in hospitals to measure the heartbeat of patients?

If p, q, r are positive and are in AP, the roots of quadratic equation px^(2) + qx + r = 0 are real for :

Find the value of 2 xx sqrt3 upto three places of decimal.

If tantheta=(x)/(y), then (xsintheta+ycostheta)/(xsintheta-ycostheta) is equal to

The value of (cot50^@)/(tan40^@)-1/2 cos55^@/sin35^@ is:

At what time between 9 O clockand 10 o clock will thehands of a clock be in thesamestraight line but not together

A solid spherical ball is prepared by melting a cone and a cylinder having the same height and same base diameter equal to 2r. Find the radius of the sphere.

Find the value of sin^(2)(120^(@)-A)+sin^(2)A+sin^(2)(120^(@)+A):

The 12th term of an AP is -13 and the sum of its first four terms is 24. Find the sum of its first 10 terms.

Find the area of Deltawhose length of medians is 18 cm 24 cm & 30 cm.

If X={4^n-3n-1:n in N} and {9(n-1):n in N, then precisely: