Q.1 The least square number which divides 8, 12 and 18 is________?
Q.2 The average of non-zero number and its square is 5 times the number. The number is__________?
Q.3 Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
Q.4 If 15% of 30% of 50% of a number is 90, then what is the number?
Q.5 Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?
Q.6 The circumferences of two concentric circles are 176 m and 132 cm respectively. What is the difference between their radii?
Q.7 A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.
Q.8 A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________?
Q.9 n what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Q.10 A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
Q.11 If x% of 200=y% of 250, find y:x.
Q.12 The income of a broker remains uncharged though the rate of commission is increased from 4 % to 5 % the percentage of a slump in business is_______?
Q.13 If 6 (A’s capital) = 8 (B’s capital) = 10 (C’s capital). Then the ratio of their capitals is:
Q.14 Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is_________?
Q.15 Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
Q.16 52 * 40.1 = ________?
Q.17 A period of 4 hrs 30 min is what percent of a day?
Q.18 A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Q.19 A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Q.20 A and B can together do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it ?
Q.21 Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Q.22 The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is________?
Q.23 Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is___________?
Q.24 The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is__________?
Q.25 The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Q.26 Express 1.09 in term of Percentage.
Q.27 The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?
Q.28 Rs. 800 at 5 % Per annum compound interest will amount to Rs. 882 in________?
Q.29 If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
Q.30 Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
Q.31 1296 ÷ (24 * 0.75) = ______?
Q.32 The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%.
Q.33 If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is__________?
Q.34 The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is____________?
Q.35 A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is________?
Q.36 The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?
Q.37 Arslan and Bilal have some marbles with them. Arslan told Bilal “if you give me ‘x’ marbles, both of us will have equal number of marbles”. Bilal then told Arslan “if you give me twice as many marbles, I will have 30 more marbles than you would”. Find ‘x’?
Q.38 A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A’s share in the profit is?
Q.39 A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of__________?
Q.40 ³√?/9261 = 11/21
Q.41 The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Q.42 Ramees bought 4 dozen apples at Rs. 12 per dozen and 2 dozen apples at Rs. 16 per dozen. He sold all of them to earn 20%. At what price per dozen did he sell the apples?
Q.43 Efficiency of Rashid and Danish are in the ratio 5:8. If Danish takes 51 days less than Rashid to complete the work, find the time taken by Rashid to complete the work.
Q.44 What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
Q.45 The length and breadth of play ground are 36 m and 21 m respectively. Flag staffs are required to be fixed on all along the boundary at a distance of 3 m part. The number of flag staffs will be___________?
Q.46 Find the greatest number that exactly divides 35, 91 and 840?
Q.47 A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Q.48 If 12 men work 8 hours a day to complete a work in 10 days, how many men working 12 hours a day can complete the work in 5 days?
Q.49 If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
Q.50 The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
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