8677 + Interview Questions in Maths in Class 14 Page 36 InterviewSolution

1751.	If 4 le p le 5 and -10 le q le -9, then the least value is given by the expression :
Answer» `p.q` `PQ^6` `p^6q` (pq)^5` ANSWER :D

Discussion

1752.	Two trains start from station A and B and travel towards each other at speeds of 16 miles /hour and 21 miles / hour respectively. At the time of their meeting, the second train has travelled 60 miles more than the first. Find the distance between A and B (in miles).
Answer» ANSWER :444 MILES

Discussion

1753.	If sin(x+y)=cos(x-y), then find the value of cos^(2)x.
Answer» 5 `-(1)/(2)` `(1)/(2)` 3 Answer :C

Discussion

1754.	If cosec^(4)alpha=17+cot^(4)alpha, then find sinalpha.
Answer» ANSWER :`(2sqrt(2))/(3)`

Discussion

1755.	In the squadron of Indian Air Force the ratio of Sukhoi is to Mig and Jaguar together is 5 : 7 and the ratio of jaguar is to Sukhoi and Mig together is 1 : 2. Find the ratio of Sukhoi and Mig :
Answer» 1:2 5:3 2:3 4:5 Answer :D

Discussion

1756.	log_yx=?
Answer» `xlog_ey` `X/(log_ey)` `(log_ex)/(log_ey)` `(log_ey)/(log_ex)` ANSWER :C

Discussion

1757.	a#b=a^(2)+b-1 a$b=a^(2)+b^(2)+1 "Max (a,b)"=\|a+b\| "Min (a, b)"=\|a-b\| Max [(2#3)$(3#4),(4$4)] is equal to :
Answer» a. 1234 b. 1236 c. 1335 d. NONE of these Answer :D

Discussion

1758.	( 29^(67^(23)))/(25)Find R .
Answer» ANSWER :`=14`

Discussion

1759.	A man ate 100 grapes in 5 days. Each day, he ate 6 more grapes than those he ate on the earlier day. How many grapes did he eat on the first day?
Answer» 28 26 24 22 Answer :A

Discussion

1760.	January 3 2007 was Wednesday what day of the week fell on january 3 2008
Answer» TUESDAY FRIDAY THURSDAY SATURDAY Answer :C

Discussion

1761.	In the half yearly exam only 70% of the students were passed. Out of these (passed in half yearly) only 60% students are passed in annual exam. Out of those who did not pass the half yearly exam , 80% passed in annual exam . What per cent of the students passed the annual exam ?
Answer» `42%` `56%` `66%` none of these Answer :C

Discussion

1762.	Convert it 47^(@)20'into radian.
Answer» ANSWER :`(71pi)/(270)`

Discussion

1763.	If (a d^2-1)x^2+(a-1)x+a^2-4a+3=0is identity in x, then find the value of a.
Answer» `-1` 0 1 3 Answer :C

Discussion

1764.	x xx9div6=3sqrt(729)xxsqrt(13^(2))
Answer» 78 112 64 54 Solution :`RARR 9x=9xx13xx6` `rArr 9x=54xx13 " " rArr x=78`

Discussion

1765.	A certain amount was divided between A and B in the ratio 7:9. If B's share was ₹7200, then the share of A is:
Answer» ₹1280 ₹6300 ₹5600 ₹12800 Answer :C

Discussion

1766.	A, B and C are three contestants in 1 km race. If A can give B a start of 40 m and A can give C a start of 64 m, how many metres start can B give C?
Answer» 25 24 26 30 Answer :`=25 m`

Discussion

1767.	After offering discount of 23% a seller gains profit of 21%. Find ratio of C.P. to M.P.
Answer» ANSWER :`7:11`

Discussion

1768.	A shopkeeper marked price of a shirt 50% more than the CP of the shirt. When he sells the shirt at x% discount then ___ % profit is obtained and when it is sold at a discount of 2x%, ___ % profit is obtained. Which of the following options are possible for the blanks in same order. A. 60,30 B. 20,8 C. 38,26 D. 35,20 E.41,32
Answer» AandE B, D andE C,DandE All are possible Solution :Let CP = 100 & MP = 150 From A If profit = 60% Hence no discountis possiblehere so, it does not satisfy equation. From B When profit is 20% then disocunt will be `(30)/(150) XX 100 = 20%` When it doubles i.e., discount = 40%. Then , `SP = 150 - (40)/(100) xx 150 = 90` So, it gave loss of 10% not possible. From C When Profit = 38%. Then discount `= (12)/(150) xx 100 = 8%` Whenit double= 16% Then `SP = 150-(16)/(100) xx 150 = 126` So,profit is 26% So, OPTION C is possible. From D When profit = 35% Discount `= (15)/(100) xx 100 = 10%` Whendiscountgets double= 20% `SP = 150 - (20)/(100) xx 150 = 120` So profitis 20%, hencepossible . From E Whenprofit= 41% then discount`= (9)/(150) xx 100 = 6%` When discount = 12%. `SP = 150-(12)/(100)xx 150 =132` Profit is 32%. So, it is possible . Then C,D and E values are possible.

Discussion

1769.	When a two digit number is reversed, the new number is reduced by 63 and the sum of digits of these inidividual numbers is 9. Now, if these same numbers are converted into base 'x' the larger number becomes 5 times that of smaller one the value of x is:
Answer» 36 13 15 18 Answer :B

Discussion

1770.	10 men and 8 women can together complete a work in 5 days. Work done by a woman is equal to the half of the work done by a man. In how many days, will 4 men and 6 women complete that work ?
Answer» 12 days 10 days 8 days 9days ANSWER :B

Discussion

1771.	If cos(A+B)=alphacosAcosB+betasinAsinB, then (alpha,beta)=?
Answer» `(-1,-1)` `(1,-1)` `(-1,1)` `(1,1)` ANSWER :B

Discussion

1772.	The ratio of number of boys to the number of girls in a school of 432 pupils is 5: 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7:6. Find the number of new girls admitted.
Answer» 12 14 24 20 Answer :C

Discussion

1773.	At a railways 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

1774.	Multiply (1)/(2)a^(2)b-(2)/(3)ab^(2)+b by 6abc:
Answer» `3a^3b^2c-4a^2b^3c+30abc` `3a^3b^3c-4a^3b^2c+6abc` `6a^3b^2+18ab^2c+30abc` NONE of these Answer :A

Discussion

1775.	A vessel contains 400 ltof milk. 20 ltof milk taken out from it and replaced by water. Then again from mixture 20 ltare taken out and replaced by water. Find the ratio of milk and water in the result ant mixture
Answer» ANSWER :`361 : 39 `

Discussion

1776.	A vessel contains 400 ltof milk. 20 ltof milk taken out from it and replaced by water. Then again from mixture 40 lt are taken out and replaced by water. Then again from mixture 60 ltare taken out and replaced by water. Find the ratio of milk and water in the resultant mixture.
Answer» 15:5 17:3 7:3 1:4 Answer :`2907 : 1093`

Discussion

1777.	If u^v + v^w + w^x = 0 For every negative integer u, v, w, x the value of u xx v xx w xx x is necessarily be :
Answer» 0 less than zero even odd Answer :C

Discussion

1778.	Circumference of a circle A is 1—times perimeter of a square.Area'of the square is 784 sq cm.What is the area of another circle B whose diameter is half the radius of the circle A?
Answer» 154 SQ cm 156 sq cm 35.8 sq cm 616 sq cm Answer :C

Discussion

1779.	The number of zeros at the end of the product of all the prime numbers between 1 and 1111 is :
Answer» 222 21 can't be determined none of these Answer :D

Discussion

1780.	logtan1^@+logtan2^@+.....+logtan89^@ is :
Answer» 1 `1/sqrt2` 0 -1 Answer :C

Discussion

1781.	A man goes to the fair in Funcity with his son and faithful dog. Unfortunately man misses his son which he realises 20 minutes later. The son comes back towards his home at the speed of 20 m/min and man follows him at 40 m/min. The dog runs to the son(child) and comes bac to the man(father) to show him the direction of his son. It keeps moving to and fro at 60 m/min between son and father, till the man meets the son. What is the distance travelled by the dog in the direction of the son?
Answer» 800 m 1675 m 848 m 1000 m Answer :D

Discussion

1782.	(1+costheta)/(sintheta)=?
Answer» `TAN""(THETA)/(2)` `cot""(theta)/(2)` `TANTHETA` `COTTHETA` Answer :A::B::C

Discussion

1783.	Mr. Mittal purchased a car for ₹ 3,00,000 and a bike for his son for₹ 1,00,000. He sold the car at a profit of 10% and bike at a loss of 20%. What is the net gain or loss?
Answer» 2% gain 1.5% loss 2.5%loss 2.5% gain Answer :D

Discussion

1784.	Simplify the following expressions : 8/7 xx 21/6 xx 30/8 xx 2 3/6
Answer»

Discussion

1785.	On selling 70 articles for Rs 160 a person incurred loss of 20%. How many articles he should sell for Rs 96 to earn profit of 20%.
Answer» ANSWER :28

Discussion

1786.	What percent is 3% of 15% ?
Answer» `15%` `20%` `40%` `66.66%` ANSWER :B

Discussion

1787.	In 40 litres mixture of milk and water the ratio of milk to water is 7: 1. In order to make the ratio of milk and water 3: 1, the quantity of water (In Ittres) that should be added to the mixture will be
Answer» 3 4 5 11 Answer :C

Discussion

1788.	If d_1,d_2,d_3 be the three distinct diagonals of a regular octagon, such that d_1 lt d_2 lt d_3, find the ratio of the inradius to the circumradius of the octagon.
Answer» `d_1/d_3` `sqrtd_2/d_3` `d_2/d_3` `d_1d_3/(d_2)^2` ANSWER :C

Discussion

1789.	A person bought some caps at rate of 60 for Rs 93 and sold them at the rate of 50 for Rs 93.Find the profit or loss percent?
Answer» ANSWER :20% PROFIT

Discussion

1790.	Solution set of the equation abs(x-3)=4 is :
Answer» {1, -7} {-1, 7} {3, 6} NONE of these Answer :B

Discussion

1791.	If the side of an equilateral triangle is r, then the area of the triangle varies directly as .
Answer» `sqrtr` R `r^2` `r^3` ANSWER :C

Discussion

1792.	If x satisfies log_(S)(2x+3) lt log_(s)7, then x lies in:
Answer» `(-3/2,2)` `(3/2,2)` `(-,OO)` (o,2) ANSWER :A

Discussion

1793.	A bought some oranges at the rate of 4 for Rs 1. I kept (1)/(5) with my self and sold remaining at the rate of 3 for Rs 1 and earn profit of Rs 1. Find the number of oranges I bought ?
Answer» ANSWER :60

Discussion

1794.	A man takes 4 h 20 miin walking to a certain place and riding back.If he walk on both sides hetakes 1 hour more ,the time he would take by riding both ways is:
Answer» 2 H 20 min 3 h 20 min 2 h 4 h 40 min Answer :B

Discussion

1795.	An ice-cream company makes a popular brand of ice-cream m rectangular shaped bar 6 cm long, 5 cm wide and 2 cm thick. To cut the cost, the company has decided to reduce the volume of the bar by 20%, the thickness remaining the same, but the length and width will be decreased by the . same percentage amount. The new length L will satisfy :
Answer» `5.5ltLlt6` `5ltLgt5.5` `4.5ltLlt5` `4ltLlt4.5` SOLUTION :`LxxBxx2=48` (New volume of ice cream) `RARR LxxB=24` Now, `6-(6XX10%)=5.4`, `5-(5xx10%)=4.5 and ` THEREFORE ,`5.4xx4.5=24.3` Clearly, `5ltLlt5.5`

Discussion

1796.	On what sum does the difference between the compound interest and the simple interest for 3 years at 10% is Rs. 31?
Answer» ANSWER :RS. 1000

Discussion

1797.	Abhinav purchases a track suit for ₹ 2400 cash or for ₹ 1000 cash down payments and two monthly instalments of ₹ 800 each. Find the rate of interest:
Answer» `75%` `120%` `50%` none of these Answer :B

Discussion

1798.	If alpha and beta are the roots of the equation ax^(2)+bx+c=0, find the value of the following expressions in terms of a, b and c (a) alpha^(2)+beta^(2) (b) (1)/(alpha)+(1)/(beta) (c) alpha^(4)-beta^(4)
Answer» Answer :`-(b)/(a^(4))(b^(2)-2ac)SQRT(b^(2)-4AC)`

Discussion

1799.	Because of scarcity of rainfall, the price of a land decreases by 12% and its production also decreases by 4%. What is the total effect on revenue?
Answer» LOSS of 16% GAIN of 15% Loss of 15.48% Loss of 15.52% ANSWER :D

Discussion

1800.	Abhinav and Brijesh started walking simultaneously @ 3 km/h and 4 km/h from the same point 'C' on two different paths which diverge from each other at an angle of 120^@. They walked for 6 hours and they stopped at A and B respectively. What is the least possible distance between Abhinav and Brijesh when they are at A and B respectively.
Answer» `36sqrt(37)` KM `6sqrt(37)` km `12SQRT(37)` km none of these Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

If 4 le p le 5 and -10 le q le -9, then the least value is given by the expression :

Two trains start from station A and B and travel towards each other at speeds of 16 miles /hour and 21 miles / hour respectively. At the time of their meeting, the second train has travelled 60 miles more than the first. Find the distance between A and B (in miles).

If sin(x+y)=cos(x-y), then find the value of cos^(2)x.

If cosec^(4)alpha=17+cot^(4)alpha, then find sinalpha.

In the squadron of Indian Air Force the ratio of Sukhoi is to Mig and Jaguar together is 5 : 7 and the ratio of jaguar is to Sukhoi and Mig together is 1 : 2. Find the ratio of Sukhoi and Mig :

log_yx=?

a#b=a^(2)+b-1 a$b=a^(2)+b^(2)+1 "Max (a,b)"=|a+b| "Min (a, b)"=|a-b| Max [(2#3)$(3#4),(4$4)] is equal to :

( 29^(67^(23)))/(25)Find R .

A man ate 100 grapes in 5 days. Each day, he ate 6 more grapes than those he ate on the earlier day. How many grapes did he eat on the first day?

January 3 2007 was Wednesday what day of the week fell on january 3 2008

In the half yearly exam only 70% of the students were passed. Out of these (passed in half yearly) only 60% students are passed in annual exam. Out of those who did not pass the half yearly exam , 80% passed in annual exam . What per cent of the students passed the annual exam ?

Convert it 47^(@)20'into radian.

If (a d^2-1)x^2+(a-1)x+a^2-4a+3=0is identity in x, then find the value of a.

x xx9div6=3sqrt(729)xxsqrt(13^(2))

A certain amount was divided between A and B in the ratio 7:9. If B's share was ₹7200, then the share of A is:

A, B and C are three contestants in 1 km race. If A can give B a start of 40 m and A can give C a start of 64 m, how many metres start can B give C?

After offering discount of 23% a seller gains profit of 21%. Find ratio of C.P. to M.P.

When a two digit number is reversed, the new number is reduced by 63 and the sum of digits of these inidividual numbers is 9. Now, if these same numbers are converted into base 'x' the larger number becomes 5 times that of smaller one the value of x is:

10 men and 8 women can together complete a work in 5 days. Work done by a woman is equal to the half of the work done by a man. In how many days, will 4 men and 6 women complete that work ?

If cos(A+B)=alphacosAcosB+betasinAsinB, then (alpha,beta)=?

The ratio of number of boys to the number of girls in a school of 432 pupils is 5: 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7:6. Find the number of new girls admitted.

At a railways 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?

Multiply (1)/(2)a^(2)b-(2)/(3)ab^(2)+b by 6abc:

A vessel contains 400 ltof milk. 20 ltof milk taken out from it and replaced by water. Then again from mixture 20 ltare taken out and replaced by water. Find the ratio of milk and water in the result ant mixture

A vessel contains 400 ltof milk. 20 ltof milk taken out from it and replaced by water. Then again from mixture 40 lt are taken out and replaced by water. Then again from mixture 60 ltare taken out and replaced by water. Find the ratio of milk and water in the resultant mixture.

If u^v + v^w + w^x = 0 For every negative integer u, v, w, x the value of u xx v xx w xx x is necessarily be :

Circumference of a circle A is 1—times perimeter of a square.Area'of the square is 784 sq cm.What is the area of another circle B whose diameter is half the radius of the circle A?

The number of zeros at the end of the product of all the prime numbers between 1 and 1111 is :

logtan1^@+logtan2^@+.....+logtan89^@ is :

(1+costheta)/(sintheta)=?

Mr. Mittal purchased a car for ₹ 3,00,000 and a bike for his son for₹ 1,00,000. He sold the car at a profit of 10% and bike at a loss of 20%. What is the net gain or loss?

Simplify the following expressions : 8/7 xx 21/6 xx 30/8 xx 2 3/6

On selling 70 articles for Rs 160 a person incurred loss of 20%. How many articles he should sell for Rs 96 to earn profit of 20%.

What percent is 3% of 15% ?

In 40 litres mixture of milk and water the ratio of milk to water is 7: 1. In order to make the ratio of milk and water 3: 1, the quantity of water (In Ittres) that should be added to the mixture will be

If d_1,d_2,d_3 be the three distinct diagonals of a regular octagon, such that d_1 lt d_2 lt d_3, find the ratio of the inradius to the circumradius of the octagon.

A person bought some caps at rate of 60 for Rs 93 and sold them at the rate of 50 for Rs 93.Find the profit or loss percent?

Solution set of the equation abs(x-3)=4 is :

If the side of an equilateral triangle is r, then the area of the triangle varies directly as .

If x satisfies log_(S)(2x+3) lt log_(s)7, then x lies in:

A bought some oranges at the rate of 4 for Rs 1. I kept (1)/(5) with my self and sold remaining at the rate of 3 for Rs 1 and earn profit of Rs 1. Find the number of oranges I bought ?

A man takes 4 h 20 miin walking to a certain place and riding back.If he walk on both sides hetakes 1 hour more ,the time he would take by riding both ways is:

On what sum does the difference between the compound interest and the simple interest for 3 years at 10% is Rs. 31?

Abhinav purchases a track suit for ₹ 2400 cash or for ₹ 1000 cash down payments and two monthly instalments of ₹ 800 each. Find the rate of interest:

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, find the value of the following expressions in terms of a, b and c (a) alpha^(2)+beta^(2) (b) (1)/(alpha)+(1)/(beta) (c) alpha^(4)-beta^(4)

Because of scarcity of rainfall, the price of a land decreases by 12% and its production also decreases by 4%. What is the total effect on revenue?