41). Five years ago, Somi's age at that time was \( \Large \frac{1}{3} \)rd of Amit's age at that time. The respective ratio between Amit's age six years hence and Somi's age twelve years hence, will be 7 :4. What Was Somi's age three years ago ? (in years)
| A). 13 |
| B). 29 |
| C). 17 |
| D). 25 |
| E). 9 |
|
42). A bag contains 24 eggs out of which 8 are rotten. The remaining eggs are not rotten eggs. The two eggs are selected at random, What is the probability that one of the eggs is rotten?
| A). \( \Large \frac{11}{23} \) |
| B). \( \Large \frac{17}{23} \) |
| C). \( \Large \frac{13}{23} \) |
| D). \( \Large \frac{11}{17} \) |
| E). \( \Large \frac{11}{33} \) |
|
43). A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :
| A). 1:2:3 |
| B). 3:4:15 |
| C). 3:5:10 |
| D). 5:6:10 |
| E). 3:5:8 |
|
44). The ratio between speed of a boat downstream and speed of the boat upstream is 7 : 5 respectively. If the boat travels a distance of 63 km downstream in 3 hours, what is the speed of the boat in still water ? (in km/h)
| A). 20 km/h |
| B). 16 km/h |
| C). 14 km/h |
| D). 12 km/h |
| E). 18 km/h |
|
45). The circumference of the semi-circle is 180 cm. If the side of a square is 60% more than the diameter of the circle, What is the perimeter of the square ?
| A). 368 cm |
| B). 464 cm |
| C). 486 cm |
| D). 448 cm |
| E). 344 cm |
|
46). Cost price of two beds are equal. One bed is sold at a profit of 30% and the other one for Rs 5,504/- less than the first one. If the overall profit earned after selling both the beds is 14%, what is the cost price of each bed ?
| A). Rs. 17,000/- |
| B). Rs. 16,800/- |
| C). Rs. 17,600/- |
| D). Rs. 17,800/- |
| E). Rs. 17,200/- |
|
47). In Jar A, 180 litre milk was mix with 36 litre water. Some of this mixture was taken out from Jar A and put it in Jar B. If after adding 6 litres of water in the mixture, the respective ratio between milk and water in Iar B was 5 : 2 respectively, what was the amount of mixture that was taken out from Jar A ? (in litres)
| A). 24 |
| B). 54 |
| C). 30 |
| D). 36 |
| E). 42 |
|
Directions (48-52): Refer to the graph and answer the given questions.
Data related to number of bags sold by two stores (M and N) during 5 years
 |
48). In 2008, 30% of the bags sold by store M and 25% of the bags sold by store N were leather bags. What was the total number of leather bags sold by store M and N together in 2008 ?
| A). 163 |
| B). 155 |
| C). 145 |
| D). 149 |
| E). 125 |
|
49). What is the respective ratio between total number of bags sold by stores M and N together in 2009 and that in 2010?
| A). 12: 17 |
| B). 11 :14 |
| C). 11 :25 |
| D). 12 :34 |
| E). 11 :12 |
|
50). If the average number of bags sold by store M in 2011, 2012 and 2013 was 350, what was the number of bags sold by the same store in 2013?
| A). 510 |
| B). 540 |
| C). 550 |
| D). 530 |
| E). 520 |
|
