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Problem 31

Rs. 960 were distributed among \(A, B, C\) and \(D\) in such a way that \(C\) and \(D\) together gets half of what \(A\) and \(B\) together gets and \(C\) gets one- third amount of \(B\). Also \(D\) gets \(\frac{5}{3}\) times as much as \(C\). What is the amount of \(A ?\) (a) Rs. 240 (b) Rs. 280 (c) Rs. 320 (d) data insufficient

Problem 34

The speeds of rickshaw, car and scooter are in the ratio of \(3: 5: 6\). What is the ratio of time taken by each one of them for the same distance? (a) \(6: 5: 3\) (b) \(10: 6: 5\) (c) \(12: 7: 6\) (d) data insufficient

Problem 41

6 pumps of Kirlosker can fill a tank in 7 days and 2 similar pumps of USHA can fill the same tank in 18 days. What is the ratio of the efficiency of a Kirlosker pump and a USHA pump? (a) \(6: 7\) (b) \(7: 6\) (c) \(7: 54\) (d) can't be determined

Problem 52

Michel travelled from New York to New Jersey covering total distance of 250 miles in \(8 \mathrm{hr}\). partly by car at 30 miles \(/ \mathrm{hr}\), and rest by train at \(35 \mathrm{miles} / \mathrm{hr}\). The distance travelled by car is: (a) 150 miles (b) 80 miles (c) 220 miles (d) 180 miles

Problem 54

Rs. 171 are divided among four friends in the ratio of \(\frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{6} \cdot\) What is the amount of the person who got the greatest share? (a) 14 (b) 40 (c) 36 (d) 60

Problem 59

Weight of a sumo is jointly varies as his height and his age. When height is \(1.2 \mathrm{~m}\) and age is 20 years his weight is \(48 \mathrm{~kg}\). Find the weight of the sumo when his height is \(1.5\) metre and age is 30 years : (a) \(60 \mathrm{~kg}\) (b) \(72 \mathrm{~kg}\) (c) \(90 \mathrm{~kg}\) (d) \(58 \mathrm{~kg}\)

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