A to Z Exams

A shopkeeper purchased 415 kg. of price at Rs. 25 per kg. He sold 225 kg. of rice at Rs. 28 per kg. At what approximately price per kg. should he sell the remaining rice in order to gain 20%?

The length of a ladder is exactly equal to the height of the wall it is resting against. Iflower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m awayfrom the wall, the upper end of the ladder coincides with the top of the wall. Then,the height of the wall is:

In a strike called by a union, a part of the 1500 employees of the company reported for work whilethe others were on strike. The next day, 4% of the striking workers reported for work and 6% ofthe working employees joined the strike. If number of striking workers on both days were thesame, how many workers were striking ?

What is the probability that a non-leap year has 53 Fridays?

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?

The circumference of two circles is 88 metres and 220 metres respectively. What is the difference between the area of the larger circle and the smaller circle?

Solve for real x: 6x2 + 5x - 6 ≥ 0

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

Ganeshi's monthly income is twice that of Jassi's monthly income. Two-third of Jassi's monthly income is equal to Sukhvinder’s monthly income. If Sukhvinder’s annual income is Rs. 2.34 lacs. What is Ganeshi’s monthly income?(In some cases annual income and in some cases monthly income is given.)  

A and B working together can finish a job in T days. If A works alone and completes the job, he will take T+5 days. If B works alone and completes the same job, he will take T+45 days. What is T?

A man can row at 5km ph in still water .if the velocity of current  is 1 km ph and it  Takes him 1   hours  to row to a place and come back ,how far is the place?

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6.25% p.a for 2 years. Find his gain in the transaction per year.

675.456 + 12.492 X 55.671 = ?

If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is

If A : B = 5 : 7 and B: C = 6 : 11, then A : B : C is :

Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

The person worth of Rs. 1404 due in two equal half yearly installments  at 8% per annum simple interest is

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is:

By selling 75 toys a shopkeeper gains the selling price of 25 toys. Find his gain percent

61 72 ? 73 59 74 58

The banker’s discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is

The ratio between the rate of walking of x and y is 2:3. If the time taken by B to cover a certain distance is 24min, to cover the same distance A will take:

A milkman claims to sell milk at the cost price but actually mixes water and milk in the ratio1 : 4. By selling this product, his revenue is Rs. 600 every day. The amount of milk remains thesame every day. One day his revenue is Rs. 560 by selling the product at its normal fixed price ofRs. 10 per litre. What is the proportion of water in milk on that day ?

If logx/(a2+b2+ab) = logy/(b2+c2+bc) = logz/(c2+a2+ac) then, the value of x(a-b).y(b-c).z(c-a) is

Euclid had a triangle in his mind .The longest side is 20 and the other side is 10.Area of the triangle is 80.The third side is

How many 4 letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

If log8 (X2+X)-log5(x+1)=2, then the value of x is

What is 25% of 25% equal to?

12 men take 18 days to complete a job whereas 12 women in 18 days can complete 3/4 of the same job. How many days will 10 me and 8 women together take to complete the same job ?

The compound interest on any sum at the rate of 5% lb two years is ?512.50. Find the sum.

Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?

Nelson borrowed some money at the rate of 6 p.c.p.a. for the first three years, 9 p.c.p.a. for the next five years and 13 p.c.p.a. for theperiod beyond eight years. If the total interest paid by him at the end of eleven years is F 8,160, how much money did he borrow?

If 8e + 2p = 12 and y – 3p = 4, then what is the value of y?

A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary? I. Number of toys sold. II. Cost price of each toy.

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D. What is B’s share?

The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent will his expenses for tea be decreased?

P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

1 27 127 343 729

The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate growth is :

11.6 +9.28 ÷ 0.464 – 0.2828 + 0.07 - ?

(25.01)2 -(15.99)2=?

A 120m-long train crosses a 30-long bridge in 7.5 seconds. What is the speed of that train in km/h?

If 2x – ky + z = 0 is a factor of 9y2– z2 – 2xz + 6xy, then the value of k is equal to

A,B,C enter into a partenership investing Rs.35,000, Rs.45,000 and Rs.55,000 respectively.The respective shares of A,B,C in an annual profit of  Rs.40,500 are:

If y(u) = 2u2 + 2 then what is the value of y, if u = 3?

960 839 758 709 ? 675

Mr Sridharan invested money in two schemes A and B, offering compound interest @a 8 p.c.p.a. and 9 p.c.p.a. respectively. If the total amount of interest accrued through the two schemes together in two years was F 4818.30 and the total amount invested was F 27,000, what was the amount invested in Scheme A?

36. If 18 pumps can raise 2170 tones of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tones of water working 9 hours a day?

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

The difference between a discount of 35% and two successive discounts of 20% on a certain bill was Rs. 22. Find the amount of the bill.

What is the minimum length of a string with which one can surround a triangle of area 36√3 cm?

Which of the following fractions is the smallest?

A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days?

If 20% of a = b, then b% of 20 is the same as:

A spends 1/4th of his leisure on reading books, 2.3rd of the remaining on watching TV. If he spends 2 hrs on watching TV what is the total time of her leisure?

The value of 1001 + 11 of 13 is:

A shopkeeper sold a TV set for17940, at a discount of 8% and gained 19.6%. If no discount is allowed,, what will be his gain per cent?  

What will be the area of a semi-circle of 14 metres diameter?

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

What length of solid cylinder 2 cm in diameter mush be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and 15 cm long?

A, B, C enters into a partnership investing Rs 35000 Rs 45000 and Rs 55000 respectively. The respective shares of A, B and C in annual profit of Rs 40,500 are

Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.

An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that at least one is yellow?

 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

If x2-1/x+1=4,  x=?

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is:

The population of city is 80,000. If it increases 11% in the first year and decreases by 9% in the second year, what will be the population of the city after two years?

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

The average of 10 numbers is 40.2. Later it is found that two  numbers have been wrongly copied. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

Rajesh walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at speed of 10 km an hour, he returns to home at 19.00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must he walk in order to return at 18.15 hours?

If the numerator of a fraction is increased by 10% and the denominator is increased by 20% the resultant fraction is 11/15. What was the original fraction?

A and B are partner in a business. A contributes 1/4th of the capital for 15 months and B received 2/3 of the profit. For how long does B's money is used?

During one year the population o f a town increased by 20% and during the next year it diminished by 20%. Then the population now is

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:

A rectangle has width a and length b. If the width is decreased by 20% and the length is increases by 10%, then what is the area of the new rectangle in percentage compared to ’ab’ ?

P lent Rs.600 to Q for 2 years and Rs.150 to R for 4 years and received altogether from both Rs.90 as interest. Find the rate of interest, simple interest being calculated

What would be the compound interest obtained on an amount of 12600 Rs at the rate of 10% per annum after two years?

Ajay spends 25% of his salary on house rent, 5% on food, 15% on travel, 10% on clothes and the remaining amount of Rs. 27,000 is saved. What is Ajay’s income?

24 men working 8 hours a day can finish a work in 10 days. Working at he rate of 10 hours a day, the number of men required to finish the same work in 6 days is

In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas 2 particular green toys are always together?

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

9 examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days?

Triangle ABC is right angled at A and has a perimeter of 136. A circle is drawn from A point X on AB such that it is tangent to BC and AC.The radius of the circle is 17 . If BX=m/n where m and n are relatively prime.Then m + n =?

12.5% * 33% * 40% * 3333.55 =?

Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

The length of the bridge which a train, 130 metres long and travelling at 45 km per hour, can cross in 30 seconds, is

If log2 [log3(log2 x)]=1, then x is equal to

A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?

A man bought a horse and a carriage for 3000. He sold the horse at a gain of 20% and the carriage at a loss 10%, thereby gaining 2% on the whole. Find the cost of the horse.

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A and B can do a work in 10 days. B and C in 12 days while C and A in 15 days. How long would they take if all the three work together?

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

19% of 421+? =150