1. Out of 500 students of a school 35% students plays football, 25% plays cricket and 20% neither play football nor cricket.How many students play football and cricket ?
A. 200
B. 100
C. 50
D. 94
Answer: Option A
Explanation:
Football = n(A) = ([latex]\frac{35}{100}[/latex]) × 500 = 175
Cricket = n(B) = ([latex]\frac{25}{100}[/latex]) × 500 = 125
neither play football nor cricket = ( [latex]\frac{20}{100}[/latex]) × 500 = 100
both football and cricket = n(A U B) = 175 + 125 -100 = 200
2. The price of sugar is reduced by 3%.How many kg of sugar can now be bought for the money which was sufficient to buy 50kg of rice earlier ?
A. 50 kg
B. 55 kg
C. 51.5 kg
D. 56 kg
Answer: Option C
Explanation:
Let one kg of sugar earlier = Rs. 100
50 kg of sugar earlier = Rs. 5000
Now 1 kg of sugar = Rs.97
Quantity to buy now = [latex]\frac{5000}{97}[/latex] = 51.5 kg
3. Fresh fruits contains 70% of water and dry fruits contain 20% of water.How much dry fruit can be obtained from 100 kg of fresh fruits ?
A. 35
B. 37
C. 37.5
D. 40
Answer: Option C
Explanation:
Quantity of pulb in 100 kg of fresh fruit = (100 – 70) × 100 = 30 kg
Quantity of dry fruit be x kg
(100 – 20 ) % of x = 30
([latex]\frac{80}{100}[/latex]) x = 30
X = [latex]\frac{(30 × 100)}{80}[/latex] = 37.5
4. In an examination , full mark is 500, A gets 25% more than B, B gets 40% more than C and C gets 60% more than D.If A got 320, what percentage of full marks did D got (approx)?
Answer: Option C
Explanation:
A = [latex]\frac{125}{100}[/latex] of B => B = [latex]\frac{4}{5}[/latex] A
B = [latex]\frac{140}{100}[/latex] of C => C = [latex]\frac{5}{7}[/latex] B
C = [latex]\frac{160}{100}[/latex] 0f D => D = [latex]\frac{5}{8}[/latex] C
B = ([latex]\frac{4}{5}[/latex] ) × 320 = 256
C = ([latex]\frac{5}{7}[/latex] ) × 256 = 183
D = ([latex]\frac{5}{8}[/latex] ) × 183 = 114
D percentage = ([latex]\frac{114}{500}[/latex] ) × 100 = 23%
5. The population of a city is increased 5% ,7% and 11% in the last three years, What will be the present population if the population of a town is 2,40,000 three years ago ?
A. 2,99,600
B. 2,99,500
C. 2,99,400
D. 2,99,300
Answer: Option D
Explanation:
2,40,000 × ([latex]\frac{105}{100}[/latex]) × ([latex]\frac{107}{100}[/latex]) × ([latex]\frac{111}{100}[/latex]) = 2,99,300