A to Z Exams

A money lender finds that due to a fall in the annual rate of interest from 8% to 7(3/4)%, his yearly income diminishes by Rs. 61.50. His capital is:

A began business with  12500 and is joined afterwards by the B with  37,500. When did B Join, if the profits at the end of the year are divided equally?  

The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

If log10 2=0.3010, then value of log10 25 is

The average speed of a car is 1(4/5)  times the average speed of a bus. A tractor covers 575 km in 23 hours. How much distance will the car in 4 hours if the speed of the bus is twice speed of the tractor?

Two diagonals of a parallelogram are 72 cm and 30 cm respectively. What is its perimeter?

What is 15 percent of Rs.34?

A shopkeeper purchased 150 identical pieces of calculators at the rate of Rs. 250 each. He spent an amount of Rs .2500 on transport and packing. He fixed the labeled price of each calculator at Rs. 320. However, he decided to give a discount of 5% on the labeled price. What is the percentage profit earned by him?

The L.C.M of 23 x 32 x 5 x 11, 24 x 34 x 52 x 7 and 25 x 33 x 53 x 72 x 11 is

Manju took Rs. 20000 at 5% SI for 2 years and invested it at 4% CI for same period. Find her gain/loss.

By investing Rs.1620 in 8% stock .Michael earns Rs. 135. The stock is then quoted at

The ratio of the present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?

If xy = 96 and 3y = 2x, then what is the value of x

In how many different ways can the letters of word ‘BIOLOGY’ be arranged?

In a mile race Akshay can be given a start of 128 metres by Bhairav. If Bhairav can given Chinmay a start of 4 metres in a 100 metres dash, then who out of Akshay and Chinmay will win a race of one and half mile, and what will be the final lead given by the winner to the loser? (One mile is 1600 metres).

Abhishek started a business with an investment of Rs 50,000. After one year, he invested another Rs 30,000 and now Sunil joined him with Rs 70,000. If the total profit earned during the three years from the beginning is Rs 84,000, how much will Sunil get out of it

If 2n – 1 + 2n + 1 = 320, then n is equal to:

750.46 + 114.09-84004 =? -13.09  

If 4x + 5y = 83 and 3x/2y = 21/22, then y-x = ?

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as intrest at 4.5%per annum of simple interest?

√7921 *51+374 = (?)3

If the sum of the first 11 terms of an arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?

A sum of money invested at compound interest amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years. The sum of money is:

The distance between the points (3, -4) and (3, 3) is

If ax - b, by – c and cz – a, then the value of xyz is:

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 k – 7 = 7 (1 – k), then what is the value of k?

A man completes 5/8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job

A vessel has 20 litres of a solution of milk and water,having 90 per cent milk. How many litres of solution must be withdrawn from the vessel and replaced with water so that the vessel would have 80 per cent milk?

If A = x% of y and B = y% of x, then which of the following is true?

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?

x men working x hours per day can do x units of a work in x days. How much work can be completed by y men working y hours per day in y days?

The ratio between the whole expenses on taxes for every year and the entire expenses on fuel and transports for every year is around

The number of positive integers n in the range 12  ? n? 40 such that the product (n – 1) (n –2)…3.2.1 is not divisible by n is 

7 person can do a piece of work in 21 days. How many persons are required to do a piece of work in 3 days?

Find the slope of the line given by the equation y + 2 = 6/8 (c – 9)?

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:

A train takes 10 seconds to cross an electric pole. It takes 30 seconds to cross a train travelling in the same direction at 36 kmph and having a length of 300 m.Find its length  (in metres).

If A=x% of y and B = y% of x, then which of the following is true?

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 cost of 16 packets of salt, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1kg?

If ( p - q) 2 = ( x – y ) 2, then x =

Two train 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction

What is the percentage increase in the total number of cars sold this year when compared to the total number of cars sold in the previous year?

A Started a business with 4500 and another person B joined after some period with  3,000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2:1  

What will be the area of a semi-circle whose perimeter is 36cm?

If log10 2=0.3010 and log10 7=0.8451, then the value of log10 2.8 is

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

The value of(1/3 log10 125- 2log10 4+log10 32) is

3.14% of 1250 - 1.5% of 2500 =? – 1.55

The true discount on Rs,2562 due 4monts hence is Rs .122 The rate percent is

Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?

If x% of 500, = y% of 300 and x% of y% of 200 = 60, then x = ?

In a business, A  and C invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by A and B was 3 : 2. If Rs. 1,57, 300 was their profit, how much amount did B receive?

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

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

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

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?

Consider a sequence where the nth term, tn=n/(n+2), n = 1, 2, .... The value of t3 x t4 x t5 x ....... x t53 equals

A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was;

How is my father’s wife’s grandfather’s only child’s sons is related to me?

The height of the Qutub Minar is 230 metres. It is planned that a stairway from ground to the topof the Minar would be made by arranging cube shaped boulders in a step like fashion. A man firstplaces a boulder on the ground. He then steps on to it, and then throws one boulder down such thatit touches the side of the previous bolder, and then places one over the new one. He then climbsonto the last boulder thus placed and continues to do the same to create steps right to the top, witheach of his step being 1 metre. If each boulder measures 1 cubic metre, how many boulders arerequired in all ?

Let x1, x2, ..., be positive integers in A.P. such that x1 + x2 + x3 = 12 and x4 + x6 = 14. Then x5 is

√4556+√7953-56=? 

The salaries of A, B, C are in the ration 2:3:5. If the increments of 15% ,10% and 20% are allowed respectively in their salaries, then   what will be the ratio of their salaries?

The factors of x2 + xy − 2 xyz −2z are:

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

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.

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is:

In a game of 100 points, A can give B 20 points and C 28 points. Then, B a start of 8 m and still beats him by 8 sec. The speed of B is

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

After successive discounts of 12% and 5% an article was sold for Rs. 209. What was the original price of the article?

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?

There are two sections A and B of a class, consisting of 36 and 44 students’ respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights

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?

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?

One side of a parallelogram is 18 cm and its distance from the opposite side is 8 cm. The area of the parallelogram is:

23 10 40 172 885 5346

There are two examination rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is;

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 milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should be mixed from each of the containers so as to get 12 litres of milk such that the ratio of water of milk is 3:5?

The ratio between the length and the perimeter of a rectangular plot is 1 : 3. What is the ratio between the length and breadth of the plot?

54.35 × 39.87 ÷ 13.35 =?

Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet?

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is:

If 0.75 : Z : : 5 : 8, then Z is equal to

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

The value of √0.16/0.4 is

If (h – 3) = 4h – 7, then which of the following could be the value of h?

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?

If 15% of x = 20% of y, then x : y is:

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. what is the length of the of the fast train

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

What is the largest number of pipes of the shape of right circular cylinders with length10 cm and radius 1 cm that can be fitted into a box, all of whose sides are 20 cm in length?

The values of the numbers 22004 and 52004 are written one after another. How many digits are there in all

From 7 men and 5 ladies a committee of 4 is to be formed. If Mrs. X is not willing to join the committee in which Mr.Y is a member whereas Mr. Y is willing to join the committee only if Mrs. Z is included, how many such committees in all are possible?