Quantitative Aptitude (Numerical Ability)

Q. A trade bought 640 kg of rice. He sold a part of rice at a 20% profit and the rest at a 5% loss. He earned a profit of 15% in the entire transaction. What is the quantity (in kg) of rice that he sold at a 5% loss?
1) 154
2) 256
3) 128
4) 132

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Q. Two equal sums were lent on simple interest at 6% and 10% per annum respectively. The first sum was recovered two years later than the second sum and the amount in each case was Rs. 1105. What was the sum (in Rs) lent in each scheme?
1) 850
2) 936
3) 891
4) 900

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Q. A train is to cover 370 km at a uniform speed. After running 100 km, the train could run at a speed of 5 km/h less than its normal speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train in km/h?
1) 45
2) 50
3) 40
4) 48

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Q. The area of a circular park is 12474 m2. There is a 3.5 m wide path around the park. What is the area (in m2) of the path? (Take π = 22/7)
1) 1424.5
2) 1435.5
3) 1440.5
4) 1380.5

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Q. A man and a woman, working together can do work in 66 days. The ratio of their working efficiencies is 3 : 2. In how many days can 6 men and 2 women working together do the same work?
1) 14
2) 12
3) 15
4) 18

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Q. In △ABC, ∠C = 90° and Q is the midpoint of BC. If AB = 10 cm and AC = 2√10 cm, then the length of AQ is -
1) 5√2 cm
2) 3√5 cm
3) √55 cm
4) 5√3 cm

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Q. A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 8.4 cm, BC = 9.8 cm and CD = 5.6 cm. The length of side AD, in cm, is -
1) 2.8
2) 4.2
3) 3.8
4) 4.9

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Q. The ratio of income of two persons A and B is 8:5 and the ratio of their expenditure is 5:3. If the savings of A and B are Rs. 2,400 and Rs. 2,000 respectively, then the income of A (in rupees) is -
1) 21,400
2) 22,400
3) 23,400
4) 24,400

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Q. A city of Rajasthan has population 3,00,000, out of which 1,80,000 are male and 50% of the total population is literate. If 70% of the male are literate, then the number of illiterate females is-
1) 93,000
2) 94,000
3) 96,000
4) 97,000

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Q. At a fixed rate of interest on any wealth, the simple interest of two years is Rs.120 and compound interest is Rs.129, then the interest rate will be -
1) 15%
2) 12.5%
3) 9%
4) 51%

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