A to Z Exams

√53824=?

A boatman rows to a place 45 km distant and back in 20 hour. He finds that he can row 12 km with the stream in the same time as 4km against the stream. Find the speed of the stream.

A rectangular plot 15 m x10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.

How many factors of 25*36*52 are perfect squares?

A person spends 65 per cent of his capital on machines and 22 per cent on raw materials. If 20 per cent of what he spent on machines is Rs 1300, then how much did he spend on machines and material (in rupees)?

When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?

A salesman travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometers per hour, on an average, must he travel to make such a trip in 5/6 hour less time?

In a simultaneous throw of two coins he probability of getting at least one head is

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

There are three cities A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from on city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?

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?

Evaluation of 83 × 82 × 8-5    is:

√00004761 equals

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

Kamal started a business investing Rs.900.After 5 months,Sameer joined with a capital of  Rs.8000.If at the end of the year,they earn a profit of  Rs.6970,then what will be the share of Sameer in profit?

(logb a X logc b X loga c) is equal to

If the perimeter of a rectangle is 90, what is the area of the rectangle?

Amrita took a loan of Rs. 50,600/- at a certain rate of simple interest for 5 years. At the end of 5 years she repayed an amount of Rs 65,780/-. What is the rate of interest at which Amrita took the loan?

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?

The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults 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.

If 80 lamps can be lighted, 5 hours per day for 10 days for Rs. 21,25, then the number of lamps, which can be lighted 4 hours daily for 30 days, for Rs. 76.50, is:

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

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?

(25.01)2 -(15.99)2=?

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B

(47 × 588) ÷ (28 × 120) =?

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

P ( - 4, b ) and Q ( 2, b + 2 ) are 2 points and the co-ordinates of the middle point of PQ are ( - 2, 2) . The value of b is

If log10 125+log10 8=X, then X is equal to

If a1=1 and an+1-3an+2 = 4n for every positive integer n, then a100 equals

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:

37 ? 103 169 257 367

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?

If( 4x2 – 3y2) : (2x2 + 5y2)= 12 : 19, then (x : y) is:

(21 .35)2 +(12.25)2 =?

Three men, four women and six children can complete a work in seven days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?

(408 + 220+ 102) + (240-?-57) = 29.2

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

The curved surface area of a cylinder pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

Pure milk cost  3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at  per litre. How many litres of water does he add?

If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be:

2 men, 3 women and 8 machines take 12 days to complete a job and 6 women and 28 machines take 6 days to complete it. A man and a machine take 45 days to complete it. Find the time taken by a machine to complete it (in days).

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

John buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?

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 

The total cost of major investment projects sanctioned in andhra pradesh in 1995 was Rs.63,243 crores. This has increased by 16% in 1996. Approximately what percentage of the cost of investment projects sanctioned are for chittoor and khammam districts together in 1996?

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?

In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination?

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:

64% of 562.8 = 25% of ?

A certain amount was divided between A and B in the ratio 4 : 3. If B’s share was Rs. 4800, the total amount was:

In two triangles, the ratio of the areas is 4 : 3 and ratio of their heights is 3 : 4. Find the ratio of their bases

Two pipes A and B can fill a cistern in 12 minutes and 16 minutes respectively. If both the pipes are opened together, then after how much time B should be closed so that the tank is full in 9 minutes?

What is the least number of square tiles required to pave the floor of a room 15 cm 17 cm long and 9 m 6 cm broad?

√571536/42 * ?=5850

What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

What is the sum of ‘n’ terms in the series: logn? log?(m2 / n??) + log?(m3 / n2) + ?log(?m4 / n3)

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6565 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500 ?

An automobile financier claims to be leading money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes?

A man invested 1/3 of his capital at 7%, 1/4 at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is

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

135-924÷2-132x 6=?  

If 13x + 1 < 2?z , and z+3 =5y then

A man takes 20 days to reach the point B under normal circumstances. But, due to the increasingly hostile weather conditions the distance they travel every day reduces by 20%. In how many days would the man reach the point B, taking into consideration weather conditions?

The average height of 25 boys is 1.4 m. When 5 boys leave the group, then the average height increase by 0.15 m. What is the average height of the 5 boys who leave ?

The value of (4.7 x13.26 + 4.7 x 9.43 + 4.7 x 77.31 ) is

 If g = log, (ax) then pz =

Rajani has to read a book of 445 pages. She has already read the first 157 pages of the book and if she reads 24 pages of the book everday then how long will she take now to complete the book ?

Which letter is such that the difference of its integer-code with the integer-code of T is the same as that between the integer-codes of N and S?

Ujakar and Keshab atternplted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the original quadratic equation?

The weights in kilograms of 10 students are 52, 45, 31, 35, 40, 55, 60, 38, 44, 36. If 44 is replaced by 46 and 40 is replaced by 35 then new median will be

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?

If a = log2, b = log 3 and c = log 7 then find the value of log67 in terms of a, b and c.

The coordinates of a point which divide the join of A (5, 5) and (8, 5) in the ratio 2 : 1 are

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

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

The price of a t.v. set worth Rs. 20,000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the best instalment covering the interest as well will be

A singles tennis tournament is held, in which 30 men participated. If a player is eliminated as soon as he loses a match, how many matches are required to determine the winner

If l(s) = 3s2 + 3s + 3, which of the following is equal to l(-3.5)?

(3/7)*(4/9) *(2/7) * 3719 =?

A train moves with a speed of 108 kmph. Its speed in meters per sec

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

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

7414 + 3698 + 1257 + 1869 = ?

Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

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:

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

A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

In what time will a train 100 meters long cross an electric pole, if its speed be 144 km/hr?

Garima purchased a briefcase with an additional 10% discount on the reduced price after deducting 20% on the labeled price. If the labeled price was Rs. 1400, at what price did she purchase the briefcase?

H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 2^4 x 3^5 x 5^2 x 7^2 The third number is:

A card is drawn from a pack of 52 cards .The probability of getting a queen of club or king of heart is

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

The mean o 12, 22, 32, 42, 52, 62, 72 is:

In how many of the given years was the production of Milk more than the average production of the given years?

The population of a town increased from 1, 75,000 to 2, 62, 500 in a decade. The average percent increase of population per year is?

87878 - 7878 - 6666- 777- 33 =?