Five heavyweight boxers measure their weights. Following results were obtained:
A. P is heavier than R by 14 kg.
B. B is lighter than S by 10 kg.
C. M’s weight is equal to the average weight of the four other boxers.
D. P’s weight and B’s weight taken together equals the weight of M and S together.
E. The average weight of all boxes is 104 kg.
Q1. What is the average of the weights of M and R?
(a) 102 kg
(b) 104 kg
(c) 100 kg
(d) 108 kg
(e) None of these
Q2. What is the average of the weights of P, S and B?
(a) 102.3 kg
(b) 107.3 kg
(c) 105.3 kg
(d) 108.5 kg
(e) 104.2 kg
Q3. Rs. 1500 in invested in two such part that if one invested at 6%, and the other at 5% the total interest in one year from both investments is Rs. 85. How much amount was invested at 5%?
(a) Rs. 500
(b) Rs. 1000
(c) Rs. 1500
(d) Rs. 4500
(e) None of these
Q4. An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?
(a) 33.5%
(b) 37.5%
(c) 40%
(d) 50%
(e) None of these
Q5. A sum is divided between A and B in the ratio of 1 : 2. A purchased a car from his part, which depreciates 100/7% per annum and B deposited his amount in a bank, which pays him 20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approximately)?
(a) 20%
(b) 26.66%
(c) 30%
(d) 25%
(e) 33.33%
Q6. An electronics company sold 12 LED TVat a profit of 20% and 8 LED TV at a profit of 10%. If it had sold all the 20 LED TVs at a profit of 15%, then its profit would have been reduced by Rs. 36000. What is the cost price of each LED TV ?
(a) 180000
(b) 182000
(c) 185000
(d) 190000
(e) 200000
Q7. In a circus there was a leopard and a tiger walking in two different rings of same radii. There I observed that when leopard moved 3 steps, tiger moved 5 steps in the same time, but the distance traversed by leopard in 5 steps in equal to the distance traversed by tiger in 4 steps. What is the number of rounds that a leopard made when tiger completed 100 rounds
(a) 120
(b) 48
(c) 75
(d) 61
Directions (Q.8-10): Each question is followed by three statements. You have to study the question and all the three statements were given and decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the questions.
Q8. What is the rate of interest?
A. The compound interest on a certain sum is Rs 19.20 more than the simple interest on the same sum and rate of interest at the end of the second year.
B. The simple interest at the same sum and same rate of interest at the end of 5 years is Rs 2400.
C. The difference between compound interest and simple interest on Rs 12,000 for 3 years is Rs 58.368.
(a) Either A and B together or C alone
(b) Only C
(c) Either B or C
(d) Only A
(e) Any of them
Q9. Sameer works for 8 days and leaves the job and the remaining 75% work is done by Mahesh and Kumar together in 15 days. In how many days can all three together do the work?
A. Kumar alone can do three-fourths of the work in 75 days.
B. Sameer alone can do the work in 32 days.
C. Mahesh and Kumar together can do the work in 20 days.
(a) None
(b) Any of them
(c) Any two of them
(d) All the three statements
(e) Either B or C
Q10. What will be the cost of painting the four walls of a room if the rate of painting is Rs 25 per square metre?
A. The perimeter of the floor is 44 m.
B. Height of the wall of the room is 10 m.
C. The ratio of length and breadth of the room is 3 : 1.
(a) None
(b) Only C
(c) Any two of them
(d) Either B or C
(e) Question can’t be answered even after using all the information
Directions (Q.11-12): Given below are the 2 quantities to be determined, find the value of the 2 quantities, compare them and answer
(a) if quantity 1 < quantity 2
(b) if quantity 1 > quantity 2
(c) if quantity 1 = quantity 2 or relation can’t to be established
(d) if quantity 1 ≤ quantity 2
(e) if quantity 1 ≥ quantity 2
Q11. Quantity I- The profit of a fruit seller if he bought 14 dozen bananas at the rate of 20 Rs./ dozen and only 13 dozen were sold at the rate of 2.5 Rs./ Banana.
Quantity II-CP of an article, which when sold at a profit of 300/7% gives a profit of 40 Rs. more as compared to the profit when sold at profit of 100/7%.
Q12. Quantity I – The probability of getting a white ball from the second bag, after 1 ball from Ist bag having 4 Red and 7 white balls, is randomly transferred to II bag having 6 Red and 4 white balls without seeing it.
Quantity II – The probability of getting 1 Red and 2 Blue balls, when 3 balls are drawn randomly from a bag having 5 Red and 7 blue balls.
Directions (Q.13-15): Find the wrong number in the following number series.
Q13. 22 30 64 280 1576
(a) 22
(b) 30
(c) 64
(d) 280
(e) 1576
Q14. 394 526 682 862 1074
(a) 394
(b) 526
(c) 682
(d) 862
(e) 1074
Q15. 83 112 232 705 2824
(a) 112
(b) 83
(c) 232
(d) 2824
(e) 705
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