Q1. When a cycle manufacturer reduced selling price of cycle by 50%, the number of bicycles sold radically increased by 600%. Initially the manufacturer was getting only 140% profit. What is the percentage increase of his profit?
(a) 10%
(b) 14%
(c) 0%
(d) Cannot be determined
(e) None of these
Q2. A pump can be operated both for filling a tank and for emptying it. The capacity of tank is 2400 m3. The emptying capacity of the pump is 10 m3 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pumpa
Q3. A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900 gram weight instead of a 1 kilogram weight. Find his percentage profit due to these due to these maneuvers.
(a) 8%
(b) 12%
(c) 20%
(d) 16%
(e) None of these
Q4. A rabbit on a controlled diet is fed daily 300 g of a mixture of two foods, X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbits diet provides exactly 38 g of protein daily, how many grams of food X are in the mixture?
(a) 100
(b) 150
(c) 200
(d) 140
(e) None of these
Q5. Krishna can do a work in 10 days while Mohan can do the same work in 20 days. They started work together. After 3 days Krishna left the work and Mohan completed it. For how many days Mohan worked alone more than the number of days required when both work together to complete the work ?
Q6. The cost price of three varieties of apples namely A, B and C is Rs. 20/kg, Rs. 40/kg and Rs. 50/kg respectively. Find the selling price of one kg of apple in which these three varieties of apples are mixed in the ratio of 2 : 3 : 5 such that there is a net profit of 20% ?
(a) Rs. 48
(b) Rs. 48.6
(c) Rs. 49.2
(d) Rs. 49.8
(e) None of these
Q7. Hari and Ravi started a race from opposite ends of the pool. After a minute and a half, they passed each other in the centre of the pool. If they lost no time in turning and maintained their respective speeds, how many minutes after starting did they pass each other the second time ?
Q8. A playground is in the shape of a rectangle. A sum of Rs. 1000 was spent to make the ground usable at the rate of 25 paise per sq. m. The breadth of the ground is 50m. If the length of the ground is increased by 20 m, what will be the expenditure in rupees at the same rate per sq.m.?
(a) 1500
(b) 2250
(c) 1250
(d) 1000
(e) None of these
Q9. P, Q and R shoot to hit a target. If P hits the target 4 times in 5 trials, Q hits it 3 times in 4 trials and R hits it 2 times in 3 trials. What is the probability that the target is hit by at least 2 persons?
(a) 5/6
(b) 3/4
(c) 4/5
(d) 1/9
(e) None of these
Q10. The marked price of a book is 20% more than the cost price. After the book is sold, the vendor realizes that the he had wrongly raised the cost price by a margin of 25%. If the marked price of the book is Rs. 30, what is the original cost price of the book?
(a) Rs. 25
(b) Rs. 20
(c) Rs. 45
(d) Rs. 30
(e) None of these
Directions (Q.11-15): The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement is/are sufficient/necessary to answer the question.
Q11. Find out the divisor.
A. Two numbers when divided by divisor give remainder 13 and 20 respectively.
B. Two dividends are 148 and 614 respectively.
C. Sum of numbers when divided by the divisor gives 6 as remainder.
(a) Only A and B
(b) Only A and C
(c) Only B and C
(d) A and either B or C
(e) Any two of them.
Q12. Rs. 241 is divided among three persons A, B and C. Find A’s share with the following information.
A. B gets Rs 8 more than C.
B. A gets Rs. 14 more than C.
C. B gets Rs. 6 less than C.
(a) A & C together are sufficient.
(b) B & C together are sufficient.
(c) Either B and C or A and B are sufficient.
(d) All together are necessary.
(e) Any one of the options (b) or (c) are sufficient.
Q13. What is the speed of a train which takes 6 seconds to cross a standing man?
A. The train takes 9 seconds to cross a platform of length 90 m.
B. The length of the train is 180 m.
C. The headlight of the engine crosses a platform of length 240 m in 8 seconds.
(a) Either A or B only
(b) B only
(c) Either B alone or A and C together
(d) Either B or C only
(e) Either A or B or C alone is sufficient
Q14. In a school what is the total number of students?
A. 78 students play Hockey and their number is 39% of students who play Chess.
B. 35% of the total students play chess.
C. Ratio between Hockey players and total students is 34 : 39.
(a) Any two of them
(b) A and either B or C
(c) Only A
(d) Only B and C together
(e) All statements are required
(a) A and B are sufficient
(b) B and C are sufficient
(c) Either A or B is sufficient
(d) Either A or C is sufficient
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