8677 + Interview Questions in Maths in Class 14 Page 120 InterviewSolution

5951.	Check whether 1071 is divisible by 7.
Answer» Solution :Step 1:`1071 rArr 107 - 1 xx 2 = 105` Step 2: `105 rArr 10 - 5 xx 2=0`

Discussion

5952.	Find x, if log x^(3) - log 3x =2 log 2 + log 3,
Answer» 3 6 9 none of these Answer :B

Discussion

5953.	The sum of the n terms of a series in nl + n^2 then the 6th terms is, if n in N.
Answer» a. 756 B. 611 d. DATA INSUFFICIENT d. NONE of these ANSWER :B

Discussion

5954.	A vessel contains 400 lt of milk. 10 ltof milk taken out from it and replaced by water. Then again from out from it and replaced by water. Then again from mixture 10 ltare taken out and replaced by water.Find the quantity of milk in this mixture now.
Answer» ANSWER :`380.25 "LT " `

Discussion

5955.	Find the unit digit of expression(232)^(123!) × (353)^(124!) × (424)^(124!)
Answer» 3 4 6 8 Answer :C

Discussion

5956.	Find the unit digit of expression125^813 * 553^3703 * 4537^828?
Answer» 0 1 2 5 Answer :a

Discussion

5957.	Find the unit digit of expression(216) ^1000× (625) ^2000×(514) ^3000?
Answer» 1 4 6 0 Answer :a

Discussion

5958.	Find the unit digit of expression(599)^122 – (125)^625 – (144)^124 + (236)^36 + (127)^121
Answer» 3 4 5 7 Answer :a

Discussion

5959.	Find the unit digit of expression(823)^(933!) × (777)^(223!) × (838)^(123!) × (525)^(111!)
Answer» 0 1 2 3 Answer :d

Discussion

5960.	Find the unit digit of expression(259)^123 – (525)^111 – (236)^122 – (414)^115 + (323)^81
Answer» 3 4 5 7 Answer :d

Discussion

5961.	A sum of money invested at compound interest amounts to Rs. 650 at the end of first year and Rs. 676 at the end of second year. The sum of money is:
Answer» ANSWER :RS. 625

Discussion

5962.	(y-z)^3 + (z-x)^3 + (x-y)^3 is equal to:
Answer» a. 3(y-z)(z+x)(y-x) B. (y+z)(x-z)(x-y) C. 3(y-z)(z-x)(y-x) d. NONE of these Answer :A

Discussion

5963.	A tourist covered a journey partly by foot and partly by bus. He walked for 90 km and rode the bus for 10 km. He spent 4 h less on the bus than on walking. If the tourist had reversed the time he travelled by foot and by bus the distances travelled on each part of the journey would be equal. How long did he ride the bus?
Answer» ANSWER : 2 HRS

Discussion

5964.	Find the slope and the intercept on the y-axis of the line sqrt3 x + 3y =6 :
Answer» a. `-1/sqrt2`, 2 b. `1/5`, 3 c. `2/sqrt3`, 4 d. `-1/sqrt3`, 2 Answer :D

Discussion

5965.	The value of ""_(216)log_(6) 39 is
Answer» 117694 117649 216649 none of these ANSWER :B

Discussion

5966.	A trader has a faulty balance that weighs 20% less than what it should weigh. Further he marks up the price of the goods by 60%, what is his profit per cent?
Answer» 80 120 200 100 Answer :D

Discussion

5967.	Find the number of pairs of two numbers whose HCF is 5 and their sum is 50.
Answer» 4 3 2 none of these Answer :D

Discussion

5968.	If sum of the two roots of the equation 4x^2+16x^2-9x-36=0 is the first whole number, then the third root of this equation is:
Answer» `-3//4` `3//2` `-3//2` `-4` ANSWER :D

Discussion

5969.	(11^(77))/(7)find R.
Answer» ANSWER :`=2`

Discussion

5970.	Sum of two numbers is 40 and their product is 375.What will be the sum of their reciprocals?
Answer» `(8)/(75)` `(1)/(40)` `(75)/(8)` `(75)/(4)` Answer :A

Discussion

5971.	A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B ?
Answer» A. 10 yrs B. 11 yrs C. 12 yrs D. 13 yrs Answer :`(2000)/(11)%`

Discussion

5972.	An article is sold for ₹ 500 cash or for ₹ 150 cash down payments followed by 5 equal monthly instalments. If the rate of interest charged is 18% p.a. compute the monthly instalment:
Answer» `63.07%` `37.06%` `75.0%` `73.06%` ANSWER :D

Discussion

5973.	If (64)^2- (36)^2 = 20 k then the value of k is :
Answer» 140 120 80 none of these Solution :`(64)^2-(36)^2=20K` `RARR(64+36)(64-36)=20k` `rarr 100.28=20k` `rarr 20xx5xx28=20k` `rarr k=28xx5=140`

Discussion

5974.	At a railway station a 24 hour watch loses 3 minutes in 4 hours. If it is set correctly on Sunday noon when will the watch show the correct time?
Answer» 6 PM after 40 days 12 NOON after 75 days 12 pm after 100 days 12 noon after 80 days Answer :D

Discussion

5975.	The speed of a boat in upstream is 2/3 that of downstream find the ratio of speed of boat in still water and to the average speed of boat in downstream and upstream?
Answer» 24/25 25/24 5/12 none of these Answer :B

Discussion

5976.	Length and breadth of rectangular field are in the ratio 5:2. If the perimeter of the field is 238 m. Find the length of the field
Answer» `860 KM^(2) ` `1260 km^(2) ` `1060 km^(2) ` can't be determined ANSWER :B

Discussion

5977.	If (sinA+sinB+sinC)^(2)=sin^(2)A+sin^(2)B+sin^(2)C, then which one is true?
Answer» `SINA+SINB+SINC=0` `cosA+cosB+cosC=0` `(1)/(sinA)+(1)/(sinB)+(1)/(sinC)=0` none of these Answer :A

Discussion

5978.	A, B and C can do a piece of work in 12, 15 and 20 days respectively. In how many days will all three do this work together ?
Answer» ANSWER :5 DAYS

Discussion

5979.	A trader mixes some freely available drinking water with some quantity of pure milk that is procured from a reliable dairy and he sells out the mixture at 20% discount. If the quantity of water is 20% to that of pure milk, what is his overall profit/loss (%)?
Answer» `4%.`LOSS `4%,PROFIT` No profit No loss `4.4%`, profit Answer :A

Discussion

5980.	There are six locks exactly with one key for each lock. All the keys are mixed to each other. The maximum number of attempts needed to get the correct combination is :
Answer» 21 15 6 can't be determined Answer :B

Discussion

5981.	Find irrational number between a and b
Answer» ANSWER : `= SQRT( AB), nsqrt( ab)`

Discussion

5982.	Find LCM and HCF of 0.6, 1.8 and 0.36.
Answer» ANSWER :LCM `=1.8` HCF `=0.12`

Discussion

5983.	4kg of metal contains 1/5 copper and rest is zinc. Another 5 kg of metal contains 1/6 copper and rest is zinc. The ratio of copper and zinc into the mixture of these two metals :
Answer» `49:221` `39:231` `94:181` NONE of these Answer :A

Discussion

5984.	The measures of the angles of a quadrilateral taken in order are proportional to 1:2:3:4, then the quadrilateral is :
Answer» PARALLELOGRAM trapezium rectangle rhombus Answer :B

Discussion

5985.	A merchant has announced 25% rebate on priece of ready-made garments at the time of sale. If a purchaser needs to have a rebate of Rs 400, then how many shirst, each costing Rs 320, should he purchase?
Answer» ANSWER :5

Discussion

5986.	Three medians AD, BE and CF of DeltaABC intersect at G. If area of DeltaABC is 36 sq cm, then the area of DeltaCGE is
Answer» `12CM^(2)` `6cm^(2)` `9CM^(2)` `18cm^(2)` ANSWER :B

Discussion

5987.	The prepaid card of Reliance Inform gives 19% less talktime than the prepaid card of Tata Indicom, having same price. Again the post-paid card of same price of tata Indicome gives 10% less talktime than its prepaid card. Similarly the post paid card of same price of Reliance gives 11.11% less talk time than its prepaid card. How much percent less talk time we get from the Reliance post paid card than the post paid card of Tata Indicome ?
Answer» 0.2111 `20%` `30.11%` NONE of these Answer :B

Discussion

5988.	If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then the value of a is:
Answer» `(X^(2) - y^(2))` `(x-y)/(x+y)` `(LOG (x+y))/(log(x-y))` `(log(x-y))/(log(x+y))` ANSWER :D

Discussion

5989.	Twodiceare rolledsimultaneously . Find theprobability of gettingthe sum of numbers on thefacesdivisibleby3 or 4.
Answer» `4/9` `1/7` `5/9` `7/12` ANSWER :C

Discussion

5990.	A manufacture undertakes to supply 2000 piecesof a particular componentat Rs. 25 per piece. According to his estimates ,even if 5% fail to pass the quality tests , then he will make a profit of 25% . However as it turned out, 50% of the components were rejected . What is the loss to the manufacture ?
Answer» Rs. 12,000 Rs. 13,000 Rs. 14,000 Rs. 15,000 Solution :(B) 5% of 2000=100 2000-100=1900 If he SELLS 1900 he will get 25% profit cost per price Rs. 25 `implies 25xx1900xx100//125=38000` =CP if 5% rejected, only 1000 pieces SOLD so `1000xx25=25000=SP` Loss=CP-SP=38000-25000=13000

Discussion

5991.	A Vendor sells his articles at a certain profit percentage. If he sells his articles at 1//3 of his actual selling price, then he incurs a loss of 40%. What is his actual profit percentage?
Answer» `72%` `120%` `80%` none of these Answer :C

Discussion

5992.	Two frinds Anjaniputra and Bajrangbali who earned some money by teaching at lamamia mobile app and now they have same indian carrency in their wallets each one has some notes of denorninations of Rs 1000 Rs 100 Rs 10 Rs 1. The total number of notes with each one is same but the total amount with each one is distinct. None of them has 10 or more notes of any denomination .What could be the possible deffrence of amount with Anjaniputra and Bajrangbali.
Answer» (a) 2 : 3 : 5 (b) 3 : 2 : 5 (C) 4 : 6 : 10 (d) 15 : 10 : 6 Answer :D

Discussion

5993.	In what time Rs. 6000 will give interest of Rs. 720 at the rate of 6% p.a. S.I.?
Answer» 3 years 2.5 years 2 years 1.5 years Answer :C

Discussion

5994.	The ratio of the total amount distributed in all the males and females as salary is 6: 5. The ratio of the salary of each male and female is 2: 3. Find the ratio of the no. of males and females.
Answer» 5:9 5:7 7:5 9:5 Answer :A

Discussion

5995.	root (3)(0.000729/0.085184) =?
Answer» ANSWER :`=(9)/(44)`

Discussion

5996.	A person travelled 80 km in 8 hours partly by cycle and partly on foot. Speed of cycle is 16 km/h andspeed on foot is 8 km/hr. Find the distance travelled by cycle and travelled on foot.
Answer» ANSWER :`C to 32`km ,` F to 48` km

Discussion

5997.	A, B and C started a business with their investments in the ratio 1:2:4. After 6 months A invested the half amount more as before and B invested twice the amount as before while C withdrew 1/4th of their investments. Find the ratio of their profits at the end of the year
Answer» Solution :Let US ASSUME their INITIAL investments wew x, 2x and 4X respectively. therefore ratio of their investments during the whole year` =(x xx6+(3x)/2xx6):(2xxx6+4x xx6):(4x xx6+3x xx6)` `= 15x:36x:42x=5x:12x:14x=5:12:14` therefore Ratio of their profits =5:12:14

Discussion

5998.	We have to divide a sum of Rs. 13,950 among three persons A,B and C ,B must get the double of A's share and C must be Rs. 50 less than the double of B's share. The share of A will be:
Answer» ₹ 1950 ₹ 1981.25 ₹ 2000 ₹ 2007.75 Answer :C

Discussion

5999.	If a+ (1)/(a)= -1 find a^(3) + 3= ?
Answer» ANSWER :4

Discussion

6000.	2 2. Find the value of log_(5sqrt5) 125
Answer» SOLUTION :`log_(5sqrt5)(125)=xrArr(5sqrt5)^X=125rArr5^((3//2)x)=5^3=3/2x=3rArrx=2log_(5sqrt5)(125)=2`

Discussion

Explore topic-wise InterviewSolutions in .

Check whether 1071 is divisible by 7.

Find x, if log x^(3) - log 3x =2 log 2 + log 3,

The sum of the n terms of a series in nl + n^2 then the 6th terms is, if n in N.

A vessel contains 400 lt of milk. 10 ltof milk taken out from it and replaced by water. Then again from out from it and replaced by water. Then again from mixture 10 ltare taken out and replaced by water.Find the quantity of milk in this mixture now.

Find the unit digit of expression(232)^(123!) × (353)^(124!) × (424)^(124!)

Find the unit digit of expression125^813 * 553^3703 * 4537^828?

Find the unit digit of expression(216) ^1000× (625) ^2000×(514) ^3000?

Find the unit digit of expression(599)^122 – (125)^625 – (144)^124 + (236)^36 + (127)^121

Find the unit digit of expression(823)^(933!) × (777)^(223!) × (838)^(123!) × (525)^(111!)

Find the unit digit of expression(259)^123 – (525)^111 – (236)^122 – (414)^115 + (323)^81

A sum of money invested at compound interest amounts to Rs. 650 at the end of first year and Rs. 676 at the end of second year. The sum of money is:

(y-z)^3 + (z-x)^3 + (x-y)^3 is equal to:

Find the slope and the intercept on the y-axis of the line sqrt3 x + 3y =6 :

The value of ""_(216)log_(6) 39 is

A trader has a faulty balance that weighs 20% less than what it should weigh. Further he marks up the price of the goods by 60%, what is his profit per cent?

Find the number of pairs of two numbers whose HCF is 5 and their sum is 50.

If sum of the two roots of the equation 4x^2+16x^2-9x-36=0 is the first whole number, then the third root of this equation is:

(11^(77))/(7)find R.

Sum of two numbers is 40 and their product is 375.What will be the sum of their reciprocals?

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B ?

An article is sold for ₹ 500 cash or for ₹ 150 cash down payments followed by 5 equal monthly instalments. If the rate of interest charged is 18% p.a. compute the monthly instalment:

If (64)^2- (36)^2 = 20 k then the value of k is :

At a railway station a 24 hour watch loses 3 minutes in 4 hours. If it is set correctly on Sunday noon when will the watch show the correct time?

The speed of a boat in upstream is 2/3 that of downstream find the ratio of speed of boat in still water and to the average speed of boat in downstream and upstream?

Length and breadth of rectangular field are in the ratio 5:2. If the perimeter of the field is 238 m. Find the length of the field

If (sinA+sinB+sinC)^(2)=sin^(2)A+sin^(2)B+sin^(2)C, then which one is true?

A, B and C can do a piece of work in 12, 15 and 20 days respectively. In how many days will all three do this work together ?

A trader mixes some freely available drinking water with some quantity of pure milk that is procured from a reliable dairy and he sells out the mixture at 20% discount. If the quantity of water is 20% to that of pure milk, what is his overall profit/loss (%)?

There are six locks exactly with one key for each lock. All the keys are mixed to each other. The maximum number of attempts needed to get the correct combination is :

Find irrational number between a and b

Find LCM and HCF of 0.6, 1.8 and 0.36.

4kg of metal contains 1/5 copper and rest is zinc. Another 5 kg of metal contains 1/6 copper and rest is zinc. The ratio of copper and zinc into the mixture of these two metals :

The measures of the angles of a quadrilateral taken in order are proportional to 1:2:3:4, then the quadrilateral is :

A merchant has announced 25% rebate on priece of ready-made garments at the time of sale. If a purchaser needs to have a rebate of Rs 400, then how many shirst, each costing Rs 320, should he purchase?

Three medians AD, BE and CF of DeltaABC intersect at G. If area of DeltaABC is 36 sq cm, then the area of DeltaCGE is

If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then the value of a is:

Twodiceare rolledsimultaneously . Find theprobability of gettingthe sum of numbers on thefacesdivisibleby3 or 4.

A Vendor sells his articles at a certain profit percentage. If he sells his articles at 1//3 of his actual selling price, then he incurs a loss of 40%. What is his actual profit percentage?

In what time Rs. 6000 will give interest of Rs. 720 at the rate of 6% p.a. S.I.?

The ratio of the total amount distributed in all the males and females as salary is 6: 5. The ratio of the salary of each male and female is 2: 3. Find the ratio of the no. of males and females.

root (3)(0.000729/0.085184) =?

A person travelled 80 km in 8 hours partly by cycle and partly on foot. Speed of cycle is 16 km/h andspeed on foot is 8 km/hr. Find the distance travelled by cycle and travelled on foot.

A, B and C started a business with their investments in the ratio 1:2:4. After 6 months A invested the half amount more as before and B invested twice the amount as before while C withdrew 1/4th of their investments. Find the ratio of their profits at the end of the year

We have to divide a sum of Rs. 13,950 among three persons A,B and C ,B must get the double of A's share and C must be Rs. 50 less than the double of B's share. The share of A will be:

If a+ (1)/(a)= -1 find a^(3) + 3= ?

2 2. Find the value of log_(5sqrt5) 125