A to Z Exams

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:

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?

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?

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

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;

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

The average of runs of a cricket player of 10 innings was 32.How many runs must he make in his next innings so as to increase his average of runs by 4 ?

Three varieties of sugar are priced at Rs 10 per kg, Rs12 per kg and Rs 16.per kg. They are mixed and sold at Rs 12.10 per kg and a profit of 10 per cent is made.The ratio in which these varieties are mixed is

What will come in place of question mark (?) 362.721 + 431.027 - 118.079 = 521.211 + ?

Manzoor had two equations containing three variables each. If they were x + 2y + 5z = 33, 2x+ 3y + z = 27, then which of the following choice will help him get a unique solution for x, y and z?

A thief steals a car and drives it at 15 km/hr. The theft has been discovered after one hour and the owner of the car sets off in another car at 25 km/hr. When will the owner overtake the thief from the starting point?

When x5– 5x4+ 9x3– 6x2– 16x + 13 is divided by x2 – 3x + a, the quotient and the remainder are x3 2x2+ x + 1 and  – 15x + 11, respectively. The value of a is equal to

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

Four milkmen rented a pasture. A grazed 15 cows for 4months, B grazed 12 cows for 2months, C grazed 18 cows for 6 months, and D grazed 16 cows for 5 months. If A’s share of rent is Rs 1,020, what is C’s share of rent?

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

Given √5 = 2.2361, √3 = 1.7321, then 1/√5 - √3 is equal to;

9050 ÷ 40=?  

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

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

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm. The radius of the square is

A theif steals a car at 1p.m. and drives it at 20km/hr. The theft is discovered at 2p.m. The owners sets of another car at 30 km/hr, he will overtake the thief at:

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is

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:

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 quality sold at 18% profit is:

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

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:

If 2*3 =√13 and 3*4 =5, then the value 5*12 is:

A test has 50 questions. A student scores 1 mark for a correct answer, -1/3 for a wrong answer,and –1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than

A, B and C together earn Rs. 300 per day, while A and C together earn Rs. 188 and B and C together earn Rs.152. The daily earning of C is;

A and B are two stations 300 km apart. Two trains T1 and T2 start from A and B respectively, towards each other at the same time. T1 reaches B nine hours and T2 reaches A four hours after they meet. Find the difference between the speeds of T1 and T2

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 :

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?

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?

A man invested 1/3 of his capital at 7%, ¼ at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is:

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?

How much water must be added to 60 litres of milk at 1 ½ litres for 20 so as to have a mixture worth 10 2/3 a litre? 

The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?

11.6 +9.28 ÷ 0.464 – 0.2828 + 0.07 - ?

The number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6m long , 5m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?

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

5982 + 1345 + 736-? = 4588 ÷ 992

960 839 758 709 ? 675

The sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:

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

The points of intersection of the circle x2 +y2=34 and line y=5

The distance between the points (-9, 5) and (-8, -20) is

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?

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

Total number of students of qualified in the exam from School-P over all the years together was approximately what percentage of total number of students who qualified in the exam from both the schools together in the year 2006 and 2007 together?

[{√196-√64}*-2.5]=(?)  

A flagstraff 17.5 m high casts a shadow of length 40.25 m. The height of the building which casts a shadow of length 28.75 m under similar conditions will be?

Five years ago the ratio of the ages of A and B 2 : 3 and after 7 years it will be 4 : 5 What is the present age of  ‘A’?

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?

The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in:

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?

The average of 10 scores is 80. When the highest and the lowest scores are dropped the average is 81. If the highest score is 92, find the lowest score.

In a 100m race A cover the distance in 36 seconds and B in 45 seconds. In this race A beats B by

If 8% of x = 4% of y, then 20% of x is :

Find the next term in the series 123, 129, 141, 147, ______

Which family has the lowest average savings?

A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 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?

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

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?

The average of eight numbers is 14. The average of six of these numbers is 16.The average of the remaining two numbers is

Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is:

12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required, is:

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

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 man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph, then the man’s rate along the current is?

If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B?

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?

A shopkeeper buys 144 eggs at 90 paise each. In the way 20 eggs were broken. He sold the remaining eggs at Rs. 1.20 each. The percentage gain or loss is

For Company A, in which year is the percentage increase/ decrease in the production from the previous year the highest?

On simplification, 3034 – (1002 ÷20.04) is equal to:

The monthly salaries of two persons are in the ratio of 4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3:5. Find their respective salaries.

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:

Applied to a bill for Rs. 1,00,000, the difference between a discount of 40% and two successive discounts of 36% and 4% is

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

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?

If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0

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

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

The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2. The height of the mountain is

A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. What was the second discount rate?

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

A watch gains 12 seconds every 3 hours, what time will it show at 10 A.M. on Tuesday if the watch is set right at 3 A.M. on Sunday?

If the ratio of sec w to cosec w is 1:7, then the ratio of tan w to cot w is

Water flows into a reservoir which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m X 0.2m) at 20kmph. In what time will the water level be 8?

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

A began a business with Rs. 85, 000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

The number of non-negative real roots of 2x – x – 1 = 0 equals

Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session?

Solve for real x: 6x2 + 5x - 6 ≥ 0

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?