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SBI PO Quantitative aptitude practice set 20

| | | 1 . | The price of sugar falls by 12%. How many quintals can be bought for the same money which was sufficient to buy 44 quintals at the higher price? |
| | 2 . | The distance between two stations A and B is 220 km. Two motorcyclists start simultaneously from A and B in opposite directions and the distance between them after 2 hours is 30 km. The faster motorcyclist’s speed is 5 km/ hr more than the slower motorcyclist’s. Find the ratio of the faster motor cyclist’s speed to the slower motorcyclist’s |
A. 9 : 5 | B. 10 : 11 | C. 10 : 9 | D. 5 : 8 | | | 3 . | A field can be plouged in 16 days. If 18 more hectares of land is ploughed daily, the work will be finished in 10 days. Find the area of the field |
A. 480 hectares | B. 520 hectares | C. 440 hectares | D. 500 hectares | | | 4 . | An article costing `425 is marked to be sold at a price which gives a profit of 20%. What will be its selling price in a sale when 15% is taken off the marked price? |
A. 442 | B. 430 | C. 438 | D. None of these | | | 5 . | How much pure alcohol can be added to 700 ml of an 18% solution to make its strength 30%? |
A. 60 ml | B. 100 ml | C. 140 ml | D. 120 ml | | | 6 . | A ladder 12 m long reaches a point 8 m below the top of a building. At the foot of the ladder the elevation of the top of the building is 60°. Find the approx height of the building. |
A. 18 m | B. 21 m | C. 16 m | D. 14 m | | | 7 . | A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm. How many bottles are required to empty the bowl? |
| | 8 . | How many numbers are there between 100 and 1000 such that 7 is at unit’s place? |
| | 9 . | Find the chance of throwing a sum more than 15 in one throw with 3 dice |
A. $1\over 36$ | B. $5\over 216$ | C. $5\over 108$ | D. $11\over 216$ | | | | |

| **Answers & Solutions ** | | 1 . | Answer : Option B | Explanation : | Reqd amount = $44\over0.88$ = 50 quintals | | | 2 . | Answer : Option C | Explanation : | Let the speed of the slower motorcyclist be x km/hr. Therefore the speed of the faster motorcyclist will be (x + 5) km/hr. In 2 hrs both motorcylists cover 2x + 2(x + 5) = (4x + 10) km distance. i.e. 4x + 10 = 220 - 30 or, 4x = 180 or, x = 45 Ratio = 50 : 45 = 10 : 9
| | | 3 . | Answer : Option A | Explanation : | Let original area ploughed daily = x hectares
Total area ploughed = 16x
If (x + 18) hectares is ploughed daily, then total area = 10(x + 18)
Given that, 16x = 10(x + 18)
or, x = 30 hectares
total area of field = 16 × 30 = 480 hectares
| | | 4 . | Answer : Option D | Explanation : | | | | 5 . | Answer : Option D | Explanation : | | | | 6 . | Answer : Option C | Explanation : | | | | 7 . | Answer : Option D | Explanation : | | | | 8 . | Answer : Option D | Explanation : | In a three-digit no. with 7 at unit’s place, zero can’t be there at hundred’s place. So, hundred’s place can be filled with any of the digits from 1 to 9. Thus there are 9 options. Ten’s place = digits 0 to 9 = 10 options Unit’s place = 7 = 1 option no. of required numbers = 9 × 10 × 1 = 90
| | | 9 . | Answer : Option D | Explanation : | | | | 10 . | Answer : Option A | Explanation : | ? = $725\over 25$ x 13 = 29 - 13 = 16 | | | | |

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