A to Z Exams

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

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?

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. what is B's contribution in the capital?

A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

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:

What will be the cost of gardening  1metre broad boundary around a rectangular plot having perimeter of 340 meters at the   rate of Rs. 10 per square metres?

By selling 75 toys a shopkeeper gains the selling price of 25 toys. Find his gain percent

In how many ways can the letters of the word ’RUMOUR’ be arranged

The average age of three boys  is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is

56484-3284-7125 =?  

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?

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?

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 ?

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

The ratio between rhe perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle ?

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)3 = z (y + z)3 = x (z + x)3 = y

By how much does √12 + √18 exceed √3 + √2 ?

Which of the following fractions is less than 7/8 and greater than 1/3?

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?

Given the quadratic equation x2- (A - 3) x - (A - 2), for what value of A will the sum of the squares of the roots be zero?

The sales of a company increased for two years by 10% each year and in the third year it decreased by 5%. Again, it increased by 10% each year for two years and then it decreased by 5% in the third year. What will be the effect from 1997-2001? (Give approximate answer)

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?

In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

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 man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

The value of 1001 + 11 of 13 is:

1/4 of 3/5 of 6/5 of a number is 54 what is the number?

A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in:

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

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

What is the distance between the c intercept and the r intercept of the line given by the equation? 2r = 6 - f?  

A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was

P , Q and R started a business by investing Rs 120000 , Rs 135000 & Rs 150000 respectively. Find the share of each, out of the annual profit of Rs 56700

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

(log5 3)X(log3 625) equals

A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were:

(1/10)18 – (1/10)20 = ?

If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

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

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:

X and Y invested in a business. They earned the profit, which they divided in the ratio of 2:3. If X invested Rs. 40,000, the amount invested by Y is

If the perimeter of a rectangle and a square, each is equal to 80 cm and the difference of their areas is 100sq.cm. The sides of the rectangle are

Jatin bought a refrigerator with 20% discount on the labeled price. Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the refrigerator?

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

(4576+ 3286+ 5639)÷(712+415 + 212)=?

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:

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:

If √(x-y)(y+2)=7, x and y being positive whole numbers, then the values of x and y respectively are:

Karan and Arjun run a 100-metre race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100-metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race

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

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. What percentage of the poor population is illiterate?

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

Complete the series 1, 3, 4, 13, 53, ____

If log2 [log3(log2 x)]=1, then x is equal to

A car travels a distance of 360km at a uniform speed. If speed of the car is 20km/hr more then time is 3 hrs. less.The original speed of car was:

13 16 21 27 39 52 69

The length of the bridge which a train, 130 metres long and travelling at 45 km per hour, can cross in 30 seconds, is

Divide ?2379 into 3 parts so that their amounts after 2,3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is

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?

Rs.9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of income. The investment in 9% stock is:

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 ?

A man can row at 5km ph in still water .if the velocity of current  is 1 km ph and it  Takes him 1   hours  to row to a place and come back ,how far is the place?

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

If in a code, 52 – 36 = 97 and 46 – 78 = 1510, then how 53 – 62 can be encoded?

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

If r(x) is the remainder obtained by dividing a polynomial p(x) by another polynomial q(x), then

√7+√5/√7-√5 is equal to:

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

In how many ways can the letters of the word 'LEADER' be arranged?

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?

A train overtaken two persons walking along a railway track. The first one walks at 4.5 km/hr. the other one walks at 5.4 km/hr. the train needs 8.4 and 8.5 sec respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train

A man invests a certain sum of money at 6%.p.a simple interest and another sum at 7%.p.a. simple interest. His income from interest after 2 years was Rs.354. One-fourth of the first sum is equal to one-fifth of the second sum. The total sum invested was:

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?

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

64% of 562.8 = 25% of ?

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:

The area of a triangle is 21 sq. units. If two of its vertices lie on points (5, 3) and (–4, –3), then find the locus of the third vertex.

The value of √0.121 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 the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a.

A person buys 4 Oranges and 3 Pears for Rs. 22. He suddenly changes his mind and buys one Orange less but 2 Pears more for the same price of Rs. 22. What is the price of each Orange?

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 boat can travel with a speed of 13km/hr in still water .if the speed of the stream is 4km /hr  Find the time taken by the boat to go 68km downstream

Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’s share is:

The average weight of 45 students in a class is 52 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

20 litres of a mixture contains milk and water in the ratio 5 : 3. If 4 litres of this mixture be replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be:

P beats Q by 5 seconds in a race of 1000m and Q beats R by 5 metres in a race of 100m. By how many seconds does P beats R in a race of 1000 m?

Volume of a right circular cylinder is 450 cm3and its curved surfaces area is 200 cm2. Find its radius?

960 839 758 709 ? 675

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?

If log10 5+ log10 (5x+1)= log10 (x+5)+1, then x is equal to

Mr. Amin borrowed some money from Mr Vishwas. The of interest for first two years is 8% p.a., for the next tit years is 11 % p.a. and for the period beyond 5 years I p.a. Mr Vishwas got an amount of 210920 as an intere the end of eight years. Then what amount was borrowed  MrAmin?

Evaluation of 83 × 82 × 8-5    is:

54.35 × 39.87 ÷ 13.35 =?

If a + b + c = 13, a2 + b2 + c2 = 69, then find ab + bc + ca.

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4 then the first part is:

The market value of a 10.5% stock, in which an income of Rs. 756 is derived from investing Rs. 9000, brokerage being ¼%, is

In the adjoining figure, AC + AB = 5 AD and AC - AD = 8. The area of the rectangle ABCD is:

What is the average mark obtained by the six students in Philosophy out of 75?