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Q1. A money bag has coins of denominations of one-rupee, two-rupees and five-rupees in the ratio 9 : 6 : 4. If the total value of five-rupee coins is Rs 64 more than the total value of two-rupee coins, find the total value of the coins in it. (In Rupees)

1. 324 2. 328 3. 340 4. 384 5. 368

Q2. The volume of a metal body varies jointly with its height as well as the area of the bottom(base). P1 and P2 are two such solids. The bottom area of solid P1 is 10 sq. m and the height is 5 m, the volume is 1500 cubic m. Find the bottom area of solid P2 whose height is 10 m and volume is 6000 cubic m.

1. 60 sq m. 2. 40 sq m. 3. 50 sq m. 4. 30 sq m. 5. None of these

Q3. a varies directly as b3. When b = 3, a = 6. Find a when b = 6.

1. 42 2. 48 3. 46 4. 44 5. 50

Q4. If A: B = 5 : 6 and B : C = 8 : 7, then (A + B – C) : (A + C – B) =

1. 23 : 17 2. 23 : 19 3. 17 : 29 4. 17 : 23 5. None of these

Q5. In an office, (2/5)th of the workers are women and (3/4)th of them travel to office by bus. 24 women do not travel to office by bus. Find the strength of the office.

1. 220 2. 200 3. 280 4. 240 5. 260

Q6. The ratio of the incomes of Chandan and Danish is 3 : 4. The ratio of their expenditures is 5 : 7. If both save Rs 4000, find the incomes of Chandan.

1. Rs 20000 2. Rs 28000 3. Rs 22000 4. Rs 24000 5. None of these

Q7. If , b, c are real numbers and a2 + 8b2 + 9c2 = 4b(a+3c) , then a : b : c = ________.

1. 6 : 2 : 3 2. 6 : 3 : 2 3. 2 : 3 : 6 4. 2 : 6 : 3 5. None of these

Q8. In a certain exam, the ratio of the number of students passed to the number of students failed is 7 : 4. Had 8 more students passed, the ratio of the number of students passed to the number of students failed would have been 9 : 2. Find the number of students who passed in the exam.

1. 20 2. 16 3. 12 4. 24 5. None of these

Q9. The cost of metal ring varies with the cube of its weight. A ring of value Rs 9800 is cut into four pieces of weights in the ratio of 1 : 3 : 4 : 6. The loss due to cutting it is _____________.

1. Rs 11000 2. Rs 8700 3. Rs 9000 4. Rs 9200 5. Rs 8200

Q10. If 6xy: (4×2 – 7y2) = 1 : 2 then the value of (x/y) is

1. -1/2 2. 7/2 3. Either (a) or (b) 4. Neither (a) nor (b) 5. Both (a) and (b)

Solution