A to Z Exams

If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?`

A, B, C enter into a partnership 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 :

30 laborers, working 7 hours a day can finish a piece of work in 18 days. If the laborers work 6 hours a day, then the number of laborers to finish the same piece of work in 30 days, will be:

Two different teams with four students each were training for an international math contest. The students were given an assessment exam and their scores were ranked. What is the probability that the four best scores come from only one of the teams assuming that no two students got the same score?

A car travels a distance of 120 Km at the rate of 30 Km/h. It covers the nest 150 Km at the rate of 25 km/h and the last 90 Km   of its journey at the speed of 18 Km/h. what is the average speed of the car?

2.002 + 7.9 {2.8 – 6.3 (3.6 – 1.5) + 15.6} = ?

A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?

960 839 758 709 ? 675

The area of the triangle whose vertices are (a, a), (a + 1, a + 1), (a + 2, a) is :

If the surface areas of two spheres are in the ratio 4:25, then the ratio of their volumes is:

A circular garden has a circumference of 440m. There is a 7m border inside the garden along its periphery. The area of the border is

2x x 81/5 = 21/5, then x is equal to:

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in3 days?

(xn - an) is completely divisible by (x - a), if

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 ?

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs ?

270 candidates appeared for an examination, of which 252 passed. The pass percentage is:

The present ages of Chetna and Shikha are in the ratio of 5 :7 respectively. After 7 years, their ages will be in the ratio of 11:14 respectively. What is the difference between their ages?

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?  

If √1+55/729=1+x/27 then the value of x is :

The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the other diagonal?

(log5 3)X(log3 625) equals

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

(2√27-√75+√12) is equal to:

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

A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?

5x2 – 13xy + 6y2 = 0,then x : y is:

Where defined, {y2 – 3/3} {8/2y + 3} =

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and 10 months, a profit of Rs. 378 is divided among them. What is B’s share?

The difference between a discount of 35% and successive discounts of 20% and 20% on a certam bill 22. Find the amount of the bill.

What, according to the treasury secretary, was the only way out of the exchange problem?

At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

A can contains a mixture of two liquids A and B in thye ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the initially?

For prime numbers p and q, p + q = 102 and p > q. What is the least possible value of p − q?

What is 35% of 42% of (6/7)th of 500?

A shopkeeper purchases 10 kg of rice at 600 and sells at a loss as much the selling price of 2 kg of rice. Find the sale rate of rice/kg.

A shopkeeper sold a T.V. set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A boy goes to his school form his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

If (2a + 3b)(2c – 3d) - (2a – 3b)(2c + 3d), then :

3 ? 14 55 274 1643

The cross-section of a canal is trapezium in shape. The canal is 12m wide at the top and 8 m wide at the bottom. If the area of the cross-section is 840sq.m, the depth of the canal is:

The L.C.M of 148 and 185 is:

If a/3 = b/4 = c/7, then a + b + c /c is equal to:

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

2418.065 + 88 ÷ 14.2 X 6 = ?

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

If the cube root of the square root of a number is 5, what is the number?

Find tan 9 − tan 27 − tan 63 + tan 81 ( all angles in degrees)

IN how many years, Rs. 150 will produce the same interest @ 8% as Rs. 800 produce in 3 years@ 4(1/2)%?

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

Fi nd the next term in the series 123, 129, 141, 147, ______

750.46 + 114.09-84004 =? -13.09  

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was again of Rs. 4005, then what will be the share of Kamal?

The ratio of actual spending on food in 2005 to that in 1980 is:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per  annum is:

How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

What is the ratio of the number of aspirants appearing for the banking exam from Institute A,C, and E together to the number of aspirants appearing for the exam from Institute B, D and F together?

A train 150 meters long running at a speed of 60 kmph takes 30 seconds to cross a bridge. The length of the bridge is,

What is the difference between the per cent profit in 1999-2000 and that in 2000-2001?

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?

Simplify the expression (1+i)6+(1+i)4 .

If n is a natural number, then (6n2 + 6n) is always divisible by:

If the area of an equilateral triangle is 24√3 sq. cm, then its perimeter is

A set of cards bearing the number 200-299 is used in a game. if card is drawn at random, what is the probability that it is divisible by:

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

The market price of a machine depreciates at an annual compound rate of 10%. If the current market price of the machine is Rs. 8748 then what was its market price 3 years ago?

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

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay:

X sells 6 horses and buys 9 Cows, thus in creasing his cash by Rs 90. He then at the same prices buys 9 horses and sells 15 Cows, thus decreasing his cash by Rs 91. Find the price of each Cow.Assume he had nil balance at the start.

A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage?

If 8a + 4b = 11 and 2a + 4g = 5. The value of b = 2. You need to find the value of a and g.

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

The banker’s discount on a sum of money for 1(1/2) years is Rs. 558 and the true discount on the same sum for 2 yers is Rs. 600. The rate percent is

5% of (25% of Rs. 1600) is

How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A can run 1 km in 3 min. 10 sec. and B cover the same distance in 3 min. 20 sec. By what distance can A beat B?

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

The Ratio of Science and Arts students in a college is 4:3. If 14 Science students shift to Arts then the ratio becomes 1:1. Find the total strength of students in both science and arts together

If (c – 5) = 4c – 7, then which of the following could be the value of c?

A man sold 18 cots for Rs. 16,800, gaining thereby the cost price of 3 cots. The cost price of cot is:

√(12X 148÷8+21-74)= ?  

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

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

13 16 21 27 39 52 69

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3, and 4, if repetition of digits is allowed?

The ratio of ages of a father and son is 17:7 respectively. 6 years ago the ratio of their ages was 3:1 respectively. What is the father's present age?

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?

A retailer buys an electronic buzzer for Rs. 215. His overhead expenses are Rs. 25. If he sells the buzzer for Rs. 300, his profit percentage would be

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?

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A person can save only 8% of his income . Five years hence his income is increased by 20% and he still saves the same amount find the increase % in his expenditure.

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?

Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Ram's tour programme is