Q.1) Let R = qs-4. When s = 8, R = 16. When s = 10, R is equal to
Q.2) If 272/3 �� 81-�_ = 3x, the value of x is
Q.3) 0.333 �� 0.444 is equal to
Q.4) A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km/hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car?
Q.5) On converting the following base-2 numeral in base ten, 1101101, we get
Q.6) The number of prime factors of 610 �� 717 �� 5527
Q.7) A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25 seconds. The length of the train is-
Q.8) Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?
Q.9) The milk and water in two vessels A and B are in the ratio 4: 3 and 2: 3 respectively. In what ratio, the liquids be mixed in both the vessels so that the new liquid contains half milk and half water?
Q.10) A person covered some distance in 12 hours. He covered half the distance by rail@75 km per hour and the rest by car@45 km/hr. The total distance covered by him was
Q.11) A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's share, 4 times B's share and 7 times C's share are all equal. The share of C is
Q.12) A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months C also joined them with a capital of Rs. 15000. The share of C in the half yearly profit of Rs. 9500 is
Q.13) The ratio of income of A and B is 5: 4 and their expenditure is as 3: 2. If at the end of the year, each saves Rs. 800, then the income of A is
Q.14) A and B can together finish a work in 30 days. They worked at it for 10 days together and then B left. The remaining work was done by A alone in 30 more days. B alone can finish the work in
Q.15) The ratio between the curved surface area and the total surface area of a right circular cylinder is 1: 2. If the total surface is 616 sq. Cm, the volume of the cylinder is
Q.16) A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5. The smaller side of the rectangle is
Q.17) A man walking at the rate of 6km per hour crosses a square field diagonally in 9 seconds. The area of the field is-
Q.18) A rectangular carpet has an area of 240 sq. Cm. If its diagonal and the longer side are together equal to five times the shorter side, the length of the carpet is-
Q.19) The ratio of 435: 25 is same as
Q.20) A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is
Q.21) The marked price of a table is Rs. 3000 and is available at successive discounts of 20% and 10% respectively. If there is an additional discount of 5% on cash payment, then what is the cash price of the table?
Q.22) A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C. I. The rate of interest per annum is
Q.23) A person borrowed Rs. 500@ 3% per annum S. I and Rs. 600 at the rate of 4�_% per annum on the agreement that the whole amount will be returned only when the total interest becomes Rs. 126. The number of years, after which the borrowed sum is to be returned, is
Q.24) A sum of Rs. 12, 000 doubles in 5 years at C. I. What will be the amount after 20 years?
Q.25) A person sold 320 mangoes for the C. P. Of 400 mangoes. His gain percent is
Q.26) A person bought some oranges at the rate of Rs. 10 per dozen and bought the same amount of oranges at the rate of Rs. 8 per dozen. He sold these oranges at the rate of Rs. 11 per dozen and gained Rs. 120. The total number of oranges bought by him was
Q.27) On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it for Rs. 355. The C. P. Of the commodity is
Q.28) A sum of Rs. 800 amounts to Rs. 920 in three years at S. I. If the rate of interest is increased by 5% then the amount will increase to
Q.29) Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is
Q.30) A house owner wants to get his house painted. He is told that this would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins, the number of tins required for painting the house is-
Q.31) Price of food grains have risen by 10% and of other items of consumption by 15%. If the ratio of an employee's expenditure on food grains and other items is 2: 5, by how much should his salary be increased so that he may maintain the same level of consumption as before, assuming that his present salary is Rs. 3500?
Q.32) The difference between the place values of 7 in the numeral 574873 is
Q.33) (387 * 387 + 114 * 114 + 2 * 387 * 114) = (?)
Q.34) A trader has three types of oils: 400 litres and 465 litres, respectively. If he wants to fill them separately in tins of equal capacity, what is the least number so tins required?
Q.35) The length and breadth of a room are 13m and 7.5m, respectively. The floor of the room is to be paved with square tiles of uniform size. Determine the length of the largest possible size of the tile.
Q.36) If the unit digit in the product (459 * 46 * 28? * 484) is 2, the digit in place of? is
Q.37) Which one of the following numbers is not a square of any natural number?
Q.38) A third of Vinod's marks in mathematics exceeds a half of his marks in social studies by 30. If he got 240 marks in the two subjects together, how many marks did he get in social studies?
Q.39) A class starts at 10 a. m. And lasts till 1.27 p. m. Four periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is
Q.40) If (64) 2- (36) 2 = 20z, the value of z is
Q.41) What number should replace both the asterisks in (?/21 *?/189) = 1?
Q.42) Which one of the following fractions is the smallest?
Q.43) If the difference between the 4/5th part and 1/3rd part of a number is 4 what is the number?
Q.44) If x and y are + ive integers such that (3x + 7y) is a multiple of 11, then which of the following will also be divisible by 11?
Q.45) If x and y are the two digits of the number 653 xy such that this number is divisible by so, then x + y is equal to
Q.46) What is the smallest number by which 3600 be divided to make it a perfect cube?
Q.47) What may be substracted from 39468 to make it perfect square?
Q.48) 1399 * 1399 =?
Q.49) The product of two numbers is y/x. IF one of the numbers is x/y2, then the other one is
Q.50) Mukesh has twice as much money as Sohan and Sohan has 50% more money than what Pankaj has. If the average money with them is Rs. 110, then Mukesh has
Q.51) A cricketer has a certain average for 9 innings. In the tenth inning, he scores 100 runs, thereby increasing his average by 8 runs. His new average is
Q.52) A number when divided by 296 gives a remainder 75. What will be the remainder when the same number is divided by 37?
Q.53) What will be the sum of all odd numbers between 30 and 50?
Q.54) In an election between two candidates, a candidate who gets 40 percent of total votes is defeated by 15000 votes. The number of votes polled by the winning candidate is
Q.55) The population of a town increases by 15 percent annually. If its population was 8000 in 1995, what would it be in 1997?
Q.56) What will be the sum of all the even numbers between 1 and 60?
Q.57) Find the largest number of five digits which is divisible by 17.
Q.58) A sum of money was divided between A, B and C, such that when A gets Re 1 then B gets 65 paise and C gets 40 paise. If C's share be Rs. 40 then what is that sum of money?
Q.59) Marks obtained by Komal in English are equal to 1/3rd of marks obtained by her in Music. Total marks obtained by her in both the subjects is 160. How many marks did she secure in Music?
Q.60) How many numbers up to three digits are divisible by 19?
Q.61) What is the largest prime number by which 871 is exactly divisible?
Q.62) Vivek purchased 120 tables at a price of Rs. 110 per table. He sold 30 tables at a profit of Rs. 12 per table and 75 tables at a profit of Rs. 14 per table. The remaining tables were sold at a loss of Rs. 7 per table. What is the average profit per table?
Q.63) A book dealer allows 16 per cent discount to a retailer and the retailer allows 10 per cent discount to a customer. These both discounts are given on the printed price of the book. If the customer pays Rs. 270 for a book and the dealer makes a profit of 5 per cent what is the cost price of the book for the dealer?
Q.64) The difference between the greatest and the least numbers of eight digits which begin with 8 and end with 6 is
Q.65) If a * b = a2 + b2 then 3 * 5 is equal to
Q.66) The Simple interest on a sum of money at 8 per cent per annum for 6 years is half the sum. The sum is
Q.67) How long will it take a sum of money invested at 5 per cent per annum simple interest to increase its value by 40 per cent?
Q.68) A number, when successively divided by 3 and 5, leaves remainder of 2 and 1, when the same number is divided by 15, the remainder is
Q.69) The numbers 1, 3, 5, ��_ 25 are multiplied together. The numbers of zeros at the right end of the product is
Q.70) What will be the compound interest on Rs. 240 for 2 years at 4 per cent per annum?
Q.71) Find the compound interest on Rs. 15000 at 8 per cent per annum payable half-yearly for 1 year.
Q.72) A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work, is
Q.73) A and B can do a work in 10 days. B and C in 12 days while C and A in 15 days. How long would they take if all the three work together?
Q.74) A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 54 minutes will be covered by B in
Q.75) In how many seconds a cyclist will pass a distance of 100 metres at the speed of 10 km/hr.
Q.76) At 3.40, the hour hand and the minute hand of a clock form an angle of
Q.77) How many times are the hands of a clock at right angles in a day?
Q.78) Today is Tuesday. After 62 days it will be
Q.79) The day on March of 5 of a year is the same day on what date of the same year?
Q.80) A garden is 70 m long and 30 m wide. It is surrounded by a footpath 5 m wide outside. What is the area of the path?
Q.81) If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is
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