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45. A bag contains 3 blue, 2 green and 5 red balls. If four balls are picked at random, what is the probability that two are green and two are blue?
Aptitude Probability Difficulty: Medium
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At 9:38 A.M, through how many degrees the hour hand of a clock moved since noon the previous day?
Aptitude Clocks Difficulty: Medium
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A hemispherical bowl is made of steel 0.5 cm thick. The inside radius of the bowl is 4 cm. The volume of steel used in making the bowl is
Aptitude Volume and Surface Area Difficulty: Medium
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A cone of height 15 cm and base diameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of wood wasted is
Aptitude Volume and Surface Area Difficulty: Medium
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The difference between the circumference and the radius of a circle is 37 cm. The area of the circle is
Aptitude Area Difficulty: Medium
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A man lends ₹ $10,000$ in four parts. If he gets $8\%$ on ₹ $2000$; $7\frac{1}{2}\%$ on ₹ $4000$ and $8\frac{1}{2}\%$ on ₹ $1400$; what percent must he get for the remainder, if his average annual interest is $8.13\%$ ?
Aptitude Simple Interest Difficulty: Medium
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Walking $\frac{6}{7}$ th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is
Aptitude Time and Distance Difficulty: Easy
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If 80 lamps can be lighted, 5 hours per day for 10 days for ₹ 21.25, then the number of lamps, which can be lighted 4 hours daily for 30 days, for ₹ 76.50, is
Aptitude Chain Rule Difficulty: Hard
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Consider the following table of inverse variation :
| M | 15 | -6 | 2 | C |
|---|---|---|---|---|
| N | -4 | A | B | 60 |
The values of $A$, $B$ and $C$ in the above table respectively are
Aptitude Ratio and Proportion Difficulty: Medium
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The marked price is 10% higher than the cost price. A discount of 10% is given on the marked price. In this kind of sale, the seller
Aptitude Profit and Loss Difficulty: Easy
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A shopkeeper purchases 11 knives in ₹ 10 and sells them at the rate of 10 knives for ₹ 11. He earns a profit of
Aptitude Profit and Loss Difficulty: Medium
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30% of 1225 - 64% of 555 = $x$
Aptitude Percentage Difficulty: Hard
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A gardener has supply of fertilizer A which consists of $10\%$ nitrogen and $6\%$ phosphoric acid and fertilizer B which consists of $5\%$ nitrogen and $10\%$ phosphoric acid.
After testing the soil conditions, he finds that he needs at least $14\text{ kg}$ of nitrogen and $14\text{ kg}$ of phosphoric acid for his crop.
If fertilizer A costs ₹ $10.60$ per kg and fertilizer B costs ₹ $8.40$ per kg, what is the minimum cost at which the farmer can meet the nutrient requirement by using a combination of both types of fertilizers?
Aptitude Percentage Difficulty: Medium
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If $X$ is 90% of $Y$, then what percent of $X$ is $Y$?
Aptitude Percentage Difficulty: Easy
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A monthly return railway ticket costs 25 percent more than a single ticket. A week's extension can be had for the former by paying 5 percent of the monthly ticket's cost. If the money paid for the monthly ticket (with extension) is ₹ 84, the price of the single ticket is
Aptitude Percentage Difficulty: Medium
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40% of 60% of $\frac{3}{5}$th of a number is 504.
What is 25% of $\frac{2}{5}$th of that number?
Aptitude Percentage Difficulty: Medium
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The value of $27^{-\frac{2}{3}}$ lies between
Aptitude Surds and Indices Difficulty: Easy
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Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is
Aptitude Problems on Numbers Difficulty: Medium
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A sum of money is equally divided among a number of children. Had there been 16 children more, each would have received ₹ 2 less and had there been 16 fewer, each would have received ₹ 3 more. Find the sum of the money distributed.
Aptitude Simplification Difficulty: Hard
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When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed?
Aptitude Simplification Difficulty: Easy
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A millionaire bought a lot of hats $\frac{1}{4}$ of which were brown. The millionaire sold $\frac{2}{3}$ of the hats including $\frac{4}{5}$ of the brown hats. What fraction of the unsold hats were brown?
Aptitude Simplification Difficulty: Medium
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If $x = 1 - q$ and $y = 2q + 1$, then for what value of $q$, $x$ is equal to $y$?
Aptitude Simplification Difficulty: Easy
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$(833.25 - 384.45) \div 24 = x$
Aptitude Decimal Fraction Difficulty: Medium
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$19.99 \times 9.9 + 99.9 = $x$
Aptitude Decimal Fraction Difficulty: Medium
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The difference of the squares of two consecutive odd integers is divisible by
Aptitude Number System Difficulty: Medium