8677 + Interview Questions in Maths in Class 14 Page 48 InterviewSolution

2351.	Find the dividend from the expression 41+-19
Answer» 783 800 893 387 Answer :A

Discussion

2352.	The true discount on a bill 24 months, hence at 24% per annum, is X 144. What will be the banker's discount?
Answer» 1) 213.12 2) 415 3) 515.12 4) 616 Answer :A

Discussion

2353.	A man covers a certain distance on scooter. Had he moved 3 km/ faster, he would have taken 40 min less. If he had moved 2 km/h slower, he would have taken 40 min more. The distance (in km) is
Answer» 42.5 36 37.5 40 Answer :D

Discussion

2354.	Find the number that must be added to the terms of the ratio 7 : 13 to make it equal to 2:3.
Answer» 5 7 4 6 Answer :A

Discussion

2355.	The sum of the ages of Aryabhatta and Shridhar is 45 years. Five years ago the product of their ages was 4 times the Aryabhatta,s age at the time. The present ages of Aryabhatta and Shridhar respectively are:
Answer» 25 and 20 35 and 10 36 and 9 40 and 5 Answer :C

Discussion

2356.	If the quadratic equation is -x^2+28x+93=0,
Answer» A) both the ROOTS are POSITIVE B) both the roots are negative C) one ROOT is positive and ANOTHER one is negative D) one root is rational and another root Is irrational Answer :C

Discussion

2357.	If p^q-q^r=(p+q)^(r-q), pgtrgtqin Prime numbers less than 11 then p+q is equal to:
Answer» R(r-q) r(q-p) r(p+q) pq Answer :A

Discussion

2358.	If tan(alpha-beta)=1, sec(alpha+beta)=2/(sqrt(3) and alpha, beta are positive then the smallest value of alpha is
Answer» `142 (1^(@))/2` `187 (1^(@))/2` `7 (1^(@))/2` `37 (1^(@))/2` ANSWER :D

Discussion

2359.	A person bought two horses at the rate of Rs 40000 each. If he gains 15% profit on selling cost price and sold second horse at loss and bears over all loss of Rs 3600. Find S.P. of second horse.
Answer» 30000 36000 31500 30400 Answer :360 RS

Discussion

2360.	2 men and 3 women finish 25% of the work in 4 days, while 6 men and 14 women can finish the whole work in 5 days. In how many days will 20 women finish it?
Answer» 20 25 24 88 Answer :A

Discussion

2361.	Let there be a fraction whose denominator is one less than the square of its numerator. If we add 2 to both the numerator and denominator , the fraction will exceed to 1/3and if we subtract 3 from numerator and denominator the fraction will lie between 0 and 1/10. The actual fraction is:
Answer» `3/8` `7/48` `4/17` NONE of these Answer :D

Discussion

2362.	A solution contains 15%of salt, from which 30 kg of water is removed. The quantity of salt remains 20%in that solution. Find the initial quantity of solution.
Answer» ANSWER :120 KG

Discussion

2363.	log_8 128=
Answer» SOLUTION :Let `LOG _8"128"=xrArr8^x=128rArr2^(3x)=2^7rArr3x=7x=7/3thereforelog_8"128"=7/3`

Discussion

2364.	If thereare twochildren in a family, findtheprobabilitythat thereis atleastone girl in thefamily .
Answer» `1/4` `1/2` `3/4` NONE of these Answer :C

Discussion

2365.	Find the number of all whole numbers formed on the screen of a calculator which can be recognised as numbers with (unique) correct digits when they are read inverted. The greatest number formed onn its screen is 999999.
Answer» 98970 89912 110050 100843 Answer :D

Discussion

2366.	How many four-digit numbers divisible by 10 can be formed using 1,5,0,6,7 without repetition of digits?
Answer» ANSWER :`5.`

Discussion

2367.	A bagcontains8 redand 4greenballs. Findthe probabiltythat All the4 ballsdrawnare greenwhenfourballsare drawnat random .
Answer» `1/495` `7/99` `5/12` `2/3` ANSWER :A

Discussion

2368.	A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 56 min will be covered by A in
Answer» `5 (1)/(3)` MIN `2(1)/(3) ` min `7 (1)/(3) `min `9 (1)/(3)` min Answer :D

Discussion

2369.	A and B can do a piece of work in 12 days, B and C in 15 days C and A in 20 days. In how many days can C alone do it ?
Answer» 60 50 25 24 Answer :A

Discussion

2370.	Find the sum of n terms of the series" 7 + 77 + 777 + …
Answer» `7/9{10(10^@-1)-N}` `7/9{10/9(10^@-1)-n}` `7{10/9(10^@-1)-n}` NONE of these Answer :B

Discussion

2371.	When a two digit number is reversed, then the new number becomes 5/6 th of the original number. The two digits differs by one.The original number is :
Answer» 45 63 77 can't be determined Answer :B

Discussion

2372.	sqrt3sec30+1/sqrt3tan60
Answer» 3 2 4 5 Answer :B

Discussion

2373.	A student gets 4 marks for a correct answer and 1 mark is deducted for a wrong answer. If she has done 80 questions at all and she has gotten only 240 marks. The correct answers she has attempted is :
Answer» 40 60 64 can't be determined Answer :C

Discussion

2374.	20 Men can do a piece of work in 25 days, in how many days will 10 men do it?
Answer» ANSWER :50

Discussion

2375.	20 persons were invited to a party. In how many ways, they and the host can be seated at a circular table?
Answer» 18 ! 19! 20! Couldn't be determined Answer :C

Discussion

2376.	A man can row upstream at 15 km/h and down stream at 21 km/h the speed of water current of the river is:
Answer» 8 km/h 6 km/h 3 km/h 5 km/h Answer :C

Discussion

2377.	If cos^(4)theta-sin^(4)theta=(2)/(13), find cos^(2)theta-sin^(2)theta+1.
Answer» ANSWER :`(15)/(13)`

Discussion

2378.	Solve the equation2^\|x+2\| - \|2^( x+1)- 1\| = 2^(x+1)+1.
Answer» x=-3 `xge-1` x=0 `(xge-1)UU(x=-3)` ANSWER :D

Discussion

2379.	Simplify:- 958 * 21 ÷ 4 = ?
Answer» a. 5029.5 B. 5039.3 c. 5049.3 d. 5019.5 Answer :B

Discussion

2380.	A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profitof Rs. 35,000, A receives
Answer» A) 14700 B) 15000 C) 12000 D) 13500 Answer :RS 12500

Discussion

2381.	5p^2-120p+720=0 3q-16=q^2/8
Answer» a) `pltq` B) `pgtq` C) `PLE Q` d) CND

Discussion

2382.	Pipe A can fill a tank in 12 hours and pipe B can fill it in 15 hours, separately. A third pipe C can empty it in 20 hours. Initially pipe A was opened, after one hour pipe B was opened and then after 1 hour when pipe B was opened pipe C was also opened. In how many hours the tank will be full?
Answer» `9 2/3` HOURS `6 2/3` hours 10 hours none of these Answer :A

Discussion

2383.	Mr. Lala Ram has lent some money to Aaju at 6% p.a. and the Baaju at 8% p:a. At the end of the year he has gain the overall interest at 7% per annum. In what ratio has he lent the money to Aaju and Baaju? ,
Answer» `2:3` `1:1` `5:6` `4:3` ANSWER :B

Discussion

2384.	How many different words can be made using the letters of the word 'HALLUCINATION' if all consonants are together?
Answer» 129780 1587600 35600 none of these Answer :B

Discussion

2385.	P and Q run on a circular track of 100 m speed of P is 250 m/s and that of Q is 400 m/s at how many points on a circular track will they meet if they start fromn the same point simultaneously in the same direction?
Answer» 1 2 3 4 Answer :C

Discussion

2386.	If the radii of two circles be 8 cm and 4 cm and the length of the transverse common tangent be 13 cm, then find the distance between the two centers is
Answer» `SQRT(313)CM` `sqrt(125)` cm `5sqrt2` cm `sqrt(135)` cm Answer :A

Discussion

2387.	400 students took a mock exam in Delhi, 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?
Answer» 100 120 150 300 Answer :A

Discussion

2388.	If A+B=225^(@), then (tanA)/(1-tanA).(tanB)/(1-tanB)=?
Answer» 1 `-1` 0 `(1)/(2)` ANSWER :A::B

Discussion

2389.	There are four numbers whose product is 9261000 and each of these four numbers is formed by distinct prime numbers. The average of all the four numbers is :
Answer» 61.75 67.25 82.33 data insufficient Answer :A

Discussion

2390.	Pipe A alone can fill a tank in 8 h. Pipe S alone can fill it in 6 h. If both the pipes are opened and after 2 h pipe A is closed, then the other pipe will fill the tank in
Answer» 4H `2 (1)/(2) h` `6h` `3 (1)/(2)` h Answer :B

Discussion

2391.	The ratio of personal income of A and B of last year is 12:25. The ratio of last year's income and current year's income of A and B is 4:7 and 5 : 2 respectively. The sum of current income of both is Rs. 31000. Then find out A and B's current income separately.
Answer» `21000,10000` `25000,7000` `20000,11000` `19000,12000` ANSWER :A

Discussion

2392.	abcde is a five digit number when multiplied by 13 it gives a number, purely formed by the digit 9. Then the value of a + b + c + d + e is :
Answer» DIVISIBLE by 8 equal to 27 divisible by 11 all of these Answer :B

Discussion

2393.	Find the remiander when 32^(32) is divided 9.
Answer» 4 5 3 6 Answer :a

Discussion

2394.	A circle with radius 12 cm has two perpendicular chords AB and CD intersecting at a point R, other than the centre O, where RD=6cm and RB=18cm. Find the length of AR.
Answer» A)`6ROOT()(3/5)` B)`4ROOT()(3/5)` C)`root(4)(5)` D)data insufficient Answer :A

Discussion

2395.	If x= (1)/(sqrt3 + sqrt2), y= (1)/(sqrt3- sqrt2) then find (1)/(x +1) + (1)/(y+ 1)
Answer» 0 1 2 `-1` ANSWER :A

Discussion

2396.	Ekxpress the following angles in radian measure and centesimal measure : 45^(@)
Answer» SOLUTION :`because 180^@=pi rad THEREFORE 1^@=pi/(180)rad` `therefore 45^@=45xxpi/(180)=pi/4rad` Now, `90^@`= 100 GRADE `rArr 45^@`=50 grade

Discussion

2397.	The sum of a number and its reciprocal is thrice the difference of the number and its reciprocal. The number is :
Answer» `pmsqrt2` `pk1/sqrt2` `pmsqrt3` `pm1/srt3` ANSWER :A

Discussion

2398.	A sells a horse to B for Rs 4860, there by losing 19 percent, B sells it to C at a price which would have given A 17 percent profit. Find B’s gain.
Answer» ANSWER :RS. 2160

Discussion

2399.	The profit percent gained if an object is sold at Rs 464 is equals to the loss percent when the object is sold at Rs 436. Find the cost price of this object?
Answer» 250 400 450 500 Answer :C

Discussion

2400.	Nirmal invested an amount at the rate of 10% p.a on compound interest and after two years he again invested half of the initial amount. If hegot ₹1371.6 as interest after three years. find the amont received by him after three years. if he invested same amount on simple interest at rate of 15% p.a.?
Answer» ₹5,220 ₹5,720 ₹5,760 ₹5,260 Solution :Let maninvested 153 ₹ And, AFTERTWO years amount invested ` = (A + A/2) = ₹ ( 3A)/2` EQUIVALENT CI of two year at 10% p.a. ` = 10 + 10 + ( 10xx 10)/2 = 21 % ` ATQ ` A xx 21/100 + ( A + ( 21A)/100 + A/2) xx 10/100 = 1371.6` 0.210 A + 0.171 A = 1371.6 0.381 A = 1371 . 6 A = ₹ 3600 Required amount= ` 3600 + 3600 xx ( 15 xx 3)/100 = ₹ 5220`

Discussion

Explore topic-wise InterviewSolutions in .

Find the dividend from the expression 41+-19

The true discount on a bill 24 months, hence at 24% per annum, is X 144. What will be the banker's discount?

A man covers a certain distance on scooter. Had he moved 3 km/ faster, he would have taken 40 min less. If he had moved 2 km/h slower, he would have taken 40 min more. The distance (in km) is

Find the number that must be added to the terms of the ratio 7 : 13 to make it equal to 2:3.

The sum of the ages of Aryabhatta and Shridhar is 45 years. Five years ago the product of their ages was 4 times the Aryabhatta,s age at the time. The present ages of Aryabhatta and Shridhar respectively are:

If the quadratic equation is -x^2+28x+93=0,

If p^q-q^r=(p+q)^(r-q), pgtrgtqin Prime numbers less than 11 then p+q is equal to:

If tan(alpha-beta)=1, sec(alpha+beta)=2/(sqrt(3) and alpha, beta are positive then the smallest value of alpha is

A person bought two horses at the rate of Rs 40000 each. If he gains 15% profit on selling cost price and sold second horse at loss and bears over all loss of Rs 3600. Find S.P. of second horse.

2 men and 3 women finish 25% of the work in 4 days, while 6 men and 14 women can finish the whole work in 5 days. In how many days will 20 women finish it?

Let there be a fraction whose denominator is one less than the square of its numerator. If we add 2 to both the numerator and denominator , the fraction will exceed to 1/3and if we subtract 3 from numerator and denominator the fraction will lie between 0 and 1/10. The actual fraction is:

A solution contains 15%of salt, from which 30 kg of water is removed. The quantity of salt remains 20%in that solution. Find the initial quantity of solution.

log_8 128=

If thereare twochildren in a family, findtheprobabilitythat thereis atleastone girl in thefamily .

Find the number of all whole numbers formed on the screen of a calculator which can be recognised as numbers with (unique) correct digits when they are read inverted. The greatest number formed onn its screen is 999999.

How many four-digit numbers divisible by 10 can be formed using 1,5,0,6,7 without repetition of digits?

A bagcontains8 redand 4greenballs. Findthe probabiltythat All the4 ballsdrawnare greenwhenfourballsare drawnat random .

A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 56 min will be covered by A in

A and B can do a piece of work in 12 days, B and C in 15 days C and A in 20 days. In how many days can C alone do it ?

Find the sum of n terms of the series" 7 + 77 + 777 + …

When a two digit number is reversed, then the new number becomes 5/6 th of the original number. The two digits differs by one.The original number is :

sqrt3sec30+1/sqrt3tan60

A student gets 4 marks for a correct answer and 1 mark is deducted for a wrong answer. If she has done 80 questions at all and she has gotten only 240 marks. The correct answers she has attempted is :

20 Men can do a piece of work in 25 days, in how many days will 10 men do it?

20 persons were invited to a party. In how many ways, they and the host can be seated at a circular table?

A man can row upstream at 15 km/h and down stream at 21 km/h the speed of water current of the river is:

If cos^(4)theta-sin^(4)theta=(2)/(13), find cos^(2)theta-sin^(2)theta+1.

Solve the equation2^|x+2| - |2^( x+1)- 1| = 2^(x+1)+1.

Simplify:- 958 * 21 ÷ 4 = ?

A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profitof Rs. 35,000, A receives

5p^2-120p+720=0 3q-16=q^2/8

Pipe A can fill a tank in 12 hours and pipe B can fill it in 15 hours, separately. A third pipe C can empty it in 20 hours. Initially pipe A was opened, after one hour pipe B was opened and then after 1 hour when pipe B was opened pipe C was also opened. In how many hours the tank will be full?

Mr. Lala Ram has lent some money to Aaju at 6% p.a. and the Baaju at 8% p:a. At the end of the year he has gain the overall interest at 7% per annum. In what ratio has he lent the money to Aaju and Baaju? ,

How many different words can be made using the letters of the word 'HALLUCINATION' if all consonants are together?

P and Q run on a circular track of 100 m speed of P is 250 m/s and that of Q is 400 m/s at how many points on a circular track will they meet if they start fromn the same point simultaneously in the same direction?

If the radii of two circles be 8 cm and 4 cm and the length of the transverse common tangent be 13 cm, then find the distance between the two centers is

400 students took a mock exam in Delhi, 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?

If A+B=225^(@), then (tanA)/(1-tanA).(tanB)/(1-tanB)=?

There are four numbers whose product is 9261000 and each of these four numbers is formed by distinct prime numbers. The average of all the four numbers is :

Pipe A alone can fill a tank in 8 h. Pipe S alone can fill it in 6 h. If both the pipes are opened and after 2 h pipe A is closed, then the other pipe will fill the tank in

The ratio of personal income of A and B of last year is 12:25. The ratio of last year's income and current year's income of A and B is 4:7 and 5 : 2 respectively. The sum of current income of both is Rs. 31000. Then find out A and B's current income separately.

abcde is a five digit number when multiplied by 13 it gives a number, purely formed by the digit 9. Then the value of a + b + c + d + e is :

Find the remiander when 32^(32) is divided 9.

A circle with radius 12 cm has two perpendicular chords AB and CD intersecting at a point R, other than the centre O, where RD=6cm and RB=18cm. Find the length of AR.

If x= (1)/(sqrt3 + sqrt2), y= (1)/(sqrt3- sqrt2) then find (1)/(x +1) + (1)/(y+ 1)

Ekxpress the following angles in radian measure and centesimal measure : 45^(@)

The sum of a number and its reciprocal is thrice the difference of the number and its reciprocal. The number is :

A sells a horse to B for Rs 4860, there by losing 19 percent, B sells it to C at a price which would have given A 17 percent profit. Find B’s gain.

The profit percent gained if an object is sold at Rs 464 is equals to the loss percent when the object is sold at Rs 436. Find the cost price of this object?