41). The respective ratio between numerical values of curved surface area and volume of right circular cylinder is 1 : 7. If the respective ratio between the diameter and height of the cylinder is 7 : 5, what is the total surface area of the cylinder ? [in \( \large m^{2} \)]
A). 2992 |
B). 3172 |
C). 2882 |
D). 3576 |
E). 3992 |
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42). The time taken by the boat to cover a distance of 'D 56' km upstream is half of that taken by it to cover a distance of 'D' km downstream. The respective ratio between the speed of the boat downstream and that upstream is 5 :3. If the time taken to cover 'D32' km upstream is 4 hours, what is the speed of water current ? (in km/h)
A). 5 |
B). 3 |
C). 4 |
D). 16 |
E). 8 |
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43). Poonam invests Rs 4,200/in Scheme A which offers 12% pa. simple interest. She also invests Rs 4,200 P) in Scheme B offering 10% pa. compound interest (compounded annually). The difference between the interests Poonam earns from both the Schemes at the end of 2 years is Rs 294/-. what is the value of P ?
A). Rs 15,00/- |
B). Rs 800/- |
C). Rs 600/- |
D). Rs 1,000/- |
E). Other than those given as options |
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44). Man sold two ArticlesA (at a profit of 40%) and B (at a loss of 20%). He incurred a total profit of Rs 18/inthe whole deal. If Article A costs Rs 140/less than Article B. what is the price of article B ?
A). Rs 380/- |
B). Rs 280/- |
C). Rs 340/- |
D). Rs 375/- |
E). Rs 370/- |
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45). B is eighteen years older to A. The respective ratio of B's age six years hence and C's present age is 3 : 2. If at present C's age is twice the age of A, what was B's age four years ago ?
A). 24 years |
B). 28 years |
C). 29 years |
D). 26 years |
E). 16 years |
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46). Time taken by A alone to finish a piece of work is 60% more than that taken by A and B together to finish the same piece of work. C is twice as efficient as B. If B and C together can complete the same piece of work in 13 \( \Large \frac{1}{3} \) days, in how many days can A alone finish the same piece of work ?
A). 36 days |
B). 24 days |
C). 16 days |
D). 28 days |
E). Other than those given as options |
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47). Out of her monthly salary. Ridhi spends 34% various expenses. From the remaining, she gives \( \Large \frac{1}{6} \) th to her brother, \( \Large \frac{2}{3} \) rd to her sister and the remaining she keeps as savings. If the difference between the amounts she gave to her sister and brother was Rs 10,260/-, what was Ridhi's savings ?
A). Rs 3,740/- |
B). Rs 3,420/- |
C). Rs 4,230/- |
D). Rs 3,230/- |
E). Other than those given as options |
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48). A bag contains 63 cards (numbered 1, 2, 3, 63). Two cards are picked at random from the bag (one after another and without replacement), what is the probability that the sum of numbers of both the cards drawn is even ?
A). \( \Large \frac{11}{21} \) |
B). \( \Large \frac{34}{63} \) |
C). \( \Large \frac{7}{11} \) |
D). \( \Large \frac{11}{63} \) |
E). Other than those given as options |
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Directions (49-54) : In these questions, two equations numbered I and II are given. You have to solve both the equations and choose the appropriate answer. Give answer : (1) If x \( \large \ge \) y (2) If x < y (3) If x \( \large \le \) y (4) If relationship between x and y cannot be established (5) If x > y |
49). I. 2\( \large x^{2} \) + 11x + 14 = 0 II. 4\( \large y^{2} \) + 12y + 9 = 0
A). If x \( \large \ge \) y |
B). If x < y |
C). If x \( \large \le \) y |
D). If relationship between x and y cannot be established |
E). If x > y |
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50). I. 3\( \large x^{2} \) - 4x + 1 = 0 II. 15\( \large y^{2} \)-8y + 1 = 0
A). If x \( \large \ge \) y |
B). If x < y |
C). If x \( \large \le \) y |
D). If relationship between x and y cannot be established |
E). If x > y |
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