A to Z Exams

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for?

A trader mixes three varieties of groundnuts costing Rs. 50, Rs. 20 and Rs. 30 per kg in the ratio 2 : 4 :  3 in terms of weight, and sells the mixture at Rs. 33 per kg. What percentage of profit does he make?

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

If a man rows at the rate of 5 km ph in still water and his against the current is 3.5km ph, then The man’s rate along the current is:

Mohan deposits Rs.150 on the first of every month starting from 1st Jan1985, in the recurring deposit scheme of a bank which allows simple interest @ 6% p.a.on the sum standing to his credit at the end of each month. What is the amount, Mohan is entitled to on 31st Dec, 1985

The compound interest on a certain amount for 2 years at the rate of 8 p.c.p.a. is Rs.312. What will be the simple interest on the same amount and at the same rate and same time?

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

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

5982 + 1345 + 736-? = 4588 ÷ 992

At what approximate time between 4 and 5 am will the hands o f a clock be at right angle?

A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A’s speed is equal to:

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?

405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

In how many distinguishably different ways can a cube be painted using at most two colours - White and Black - such that each face is coloured with exactly one of the two given colours?

A man invests Rs. 3000 at a rate of 5% per annum. How much more should he investat a rate of 8%, so that he can earn a total of 6% per annum?

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

A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point c midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?

If 3a = 4b = 6c and a + b + c = 27√29, then √a2+b2+c2 is

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

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

The compound interest on Rs. 20,480 at 6(1/4) per annum for 2 years 73 days, is:

If a2 = b4 = c8 = d16, then logd2 (abc)1/3

If 15 men and 10 boys can do in 1 day as much work as 12 men and 20 boys. How much should a man be paid a day if a boy is to get Rs.10 a day?

A shopkeeper sells a badminton racket, whose marked price is Rs. 30, at a discount of 15% and gives a shuttle cock costing Rs. 1.50 free with each racket. Even then he makes a profit of 20%. His cost price per racket is:

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran’s share in the profit?

548 567 624 719 852 1023?

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 :

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:

45 men can do a piece of work in 20 days. How many men would be required to do the same work in 30 days?

A student secures 90%, 60% and 54% marks in test papers with 100, 150 and 200 respectively as maximum marks. The percentage of his aggregate is:

Two urns contain 5 white and 7 black balls and 3 white and 9 black balls respectively. One ball is transferred to the second urn and then one ball is drawn from the second urn. Find the probability that the first ball transferred is black, given that the ball drawn is black?

The radii of two cylinders are in the ratio 2 : 3 and heights 5 : 3. Calculate ratio of their volumes

A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after  one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years?

If he is able to sell only 1200 out of the 1500 watches he has made in the season, then in the season he has made a profit of:

Two cards are drawn  together from a pack of 52 cards .The probability that one is a spade and one is a heart ,is

√571536/42 * ?=5850

A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?

If log32, log3(2x – 5), log3(2x – 7/2) are in arithmetic progression, then the value of x is equal to

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

(13)3+73/(13)2+72-? =20

4.59 x 1.8 ÷3.6 + 5.4 of 1/9 – 1/5 =?

7008÷ 24 + 6208÷16=?

If o = 4/3 and h = 6 then h/o + 4/o2 =

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?

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

What percent of 7.2 kg is 18 gms ?

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

76% of (?) – (11)² = 525

The value of (log9 27+log8 32) is

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 6x2 – 5x – 6 and 12x2 + 11x + 2 is

A man bought some oranges at Rs. 10 per dozen and bought the same number of oranges at Rs. 8 per dozen. He sold these oranges at Rs. 11 per dozen and gained Rs. 120. The total number oranges bought by him was:

If a certain number of workmen can do a piece of work in 25 hours, in how many hours will another set of an equal number of men, do a piece of work, twice as great, supposing that 2 men of the first set can do as much work in an hour, as 3 men of the second set do in an hour ?

Mayank, Mirza, Little and Jaspal bought a motorbike for $60.00. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys; and Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?

If a material is sold for Rs.34.80, there is a loss of 25%. Find out the cost price of the material?

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?

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?

The total expenditure of the company over these items during the year 2000 is?

How many total numbers of not more than 20 digits that can be formed by using the digits 0 ,1 ,2 ,3 , and 4 is

If x + y = 2, xy = 1, then the values of x and y are respectively

A sum fetched a total simple interest of RS. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

What will come in place of both the question marks(?) in the following question?  (?)¹·³/45 = 75/(?)¹·7

If log 2=0.30103, the number of digits in 246 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 ?

In a partnership, A invests 1/6 of the capital for 1/6 of the time B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for whole time find A’s share of the total profit of 2,300  

(51 + 52 + 53 + ……… + 100) is equal to:

135-924÷2-132x 6=?  

In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum of pets in the house?

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

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class

If the income of the company in the year 2007 was Rs. 45 lakhs, what was the expenditure of the company in the year?

A father with 8 children takes 3 children at a time to the zoological garden, as often as he can without taking the same 3 children together more than once. Then:

A trader gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of an item. The final sale price of the item is Rs.704. Find out the labeled price?

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 closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is panted on the inside. The cost of painting is Rs 70. What is the rate of painting in rupees per sq. cm?

The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?

34.95 + 240.016 + 23.98 = ?

In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?

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

Find the co-ordinates of the foot of the perpendicular from point (5,7) on the line whose equation is: x + 7y - 10 = 0.

892.7 – 573.07 – 95.007 =?

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit

A discount of 15% on one article is the sum as a discount of 20% on another article. The costs of the two articles can be:

A man rows downstream at 32 km and 14 km upstream at 13kmph.the speed of the stream is:

s varies directly as the square of p. When s = 3.5, p = 0.5 If s = 90, then c would be equal to

A candidate appearing for an examination has to secure 35% marks to pass. But he secured only 40 marks and failed by 30 marks. What would be the maximum marks of test?

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

X, Y, Z, enter into a partnership. X invests some money at the beginning y, invests 4 times  The amount after 8 months and Z invests 3 times the amount after 10 months. If the annual profit be Rs. 8500 then Z’s share is

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

Given that 268*74 =19832, find the values of 2.68 * 0.74.

Within a square ground with one side 20 m , there is a square path that is 4 m in breadth. What is the area of the park without the path

(98x198)÷(48x148)=?

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

The H.C.F. of 2923 and 3239 is :

If e varies directly as n and e/d = 10, then what is the value of e when d = 30?

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 ?

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

If x=1+2a+3a2+4a2+……( -1 < a < 1 ) and y=1+3b+6b2+10b3+……( -1 < b < 1 )then find 1+ab+(ab)2+(ab)3+….. in terms of x and y.

If 75% of a number is added to 75, the result is the number itself, then the number is