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Latest Questions

The angle of elevation of a cloud from a point 200 m above a lake is $30^\circ$ and the angle of depression of its reflection in the lake is $60^\circ$. The height of the cloud is
Aptitude Height and Distance Difficulty: Hard
30 Oct 2026
A person invests ₹ 5508 in 4% stock at 102. He afterwards sells out at 105 and reinvests in 5% stock at 126. What is the change in his income?
Aptitude Stocks and Shares Difficulty: Hard
30 Oct 2026
Directions: Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. A solid metallic cone is melted and recast into a sphere. What is the radius of the sphere? I. The radius of the base of the cone is 2.1 cm. II. The height of the cone is four times the radius of its base. III. The height of the cone is 8.4 cm.
Verbal Reasoning Data Sufficiency Difficulty: Medium
30 Oct 2026
A spherical ball of lead, $3$ cm in diameter is melted and recast into three spherical balls. The diameter of two of these are $1.5$ cm and $2$ cm respectively. The diameter of the third ball is
Aptitude Volume and Surface Area Difficulty: Hard
30 Oct 2026
A sphere, cylinder and cone of dimensions radius = $r$ cm and height = $2r$ cm are made. Which one has the greatest volume?
Aptitude Volume and Surface Area Difficulty: Easy
30 Oct 2026
The area of the greatest circle which can be inscribed in a square whose perimeter is 120 cm, is
Aptitude Area Difficulty: Easy
30 Oct 2026
A rectangular plank $\sqrt{2}$ metre wide is placed symmetrically on the diagonal of a square of side 8 metres as shown in the figure. The area of the plank is <img src="/api/images/rectangular-plank-sqrt2-metre-wide-symmetrically-diagonal-square-8.png" alt="rectangular plank sqrt2 metre wide symmetrically diagonal" width="300" height="200" loading="lazy" decoding="async" class="rounded border border-gray-300 mx-auto my-4" />
Aptitude Area Difficulty: Hard
30 Oct 2026
What is the minimum number of identical square tiles required to tile a floor of length 6 m 24 cm and width 4 m 80 cm?
Aptitude HCF and LCM Difficulty: Medium
30 Oct 2026
The area of a square with perimeter 48 cm is
Aptitude Area Difficulty: Easy
30 Oct 2026
The principal that amounts to ₹ 4913 in 3 years at $6\frac{1}{4}\%$ per annum compound interest compounded annually, is (S.S.C., 2005)
Aptitude Compound Interest Difficulty: Medium
30 Oct 2026
Mr Duggal invested ₹ 20000 with rate of interest @ 20 p.c.p.a. The interest was compounded half-yearly for first one year and in the next year it was compounded yearly. What will be the total interest earned at the end of 2 years?
Aptitude Compound Interest Difficulty: Medium
30 Oct 2026
A passenger train runs at the rate of $80$ kmph. It starts from the station, $6$ hours after a goods train leaves the station. The passenger train overtakes the goods train after $4$ hours. The speed of goods train is
Aptitude Problems on Trains Difficulty: Medium
30 Oct 2026
Two men start together to walk to a certain destination, one at 3 kmph and another at 3.75 kmph. The latter arrives half an hour before the former. The distance is
Aptitude Time and Distance Difficulty: Medium
30 Oct 2026
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.? (D.M.R.C., 2003)
Aptitude Time and Distance Difficulty: Medium
30 Oct 2026
In a partnership, A invests $\frac{1}{6}$ of the capital for $\frac{1}{6}$ of the time, B invests $\frac{1}{3}$ of the capital for $\frac{1}{3}$ of the time and C, the rest of the capital for the whole time. Out of a profit of ₹ 4600, B's share is (M.B.A., 2004)
Aptitude Partnership Difficulty: Medium
30 Oct 2026
The respective ratio between the monthly salaries of Rene and Som is 5 : 3. Out of her monthly salary Rene gives 1/6th as rent, 1/5th to her mother, 30% as her education loan and keeps 25% aside for miscellaneous expenditure. Remaining ₹ 5000 she keeps as savings. What is Som's monthly salary?
Aptitude Ratio and Proportion Difficulty: Medium
30 Oct 2026
A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20%?
Aptitude Profit and Loss Difficulty: Hard
30 Oct 2026
$(\frac{1}{2})^{-\frac{1}{2}}$ is equal to
Aptitude Surds and Indices Difficulty: Easy
30 Oct 2026
The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20 kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?
Aptitude Average Difficulty: Medium
30 Oct 2026
In a class there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class (rounded to two digits after decimal)?
Aptitude Average Difficulty: Easy
30 Oct 2026
$\sqrt{176 + \sqrt{2401}}$ is equal to
Aptitude Square Root and Cube Root Difficulty: Easy
30 Oct 2026
$ \left( \frac{785 \times 785 \times 785 + 435 \times 435 \times 435}{785 \times 785 + 435 \times 435 - 785 \times 435} \right) $ simplifies to
Aptitude Simplification Difficulty: Easy
30 Oct 2026
The value of $$ \frac{241.6 \times 0.3814 \times 6.842}{0.4618 \times 38.25 \times 73.65} $$ is close to
Aptitude Decimal Fraction Difficulty: Hard
30 Oct 2026
Two numbers are in the ratio of $3 : 4$. Their L.C.M. is $84$. Find the numbers.
Aptitude HCF and LCM Difficulty: Easy
30 Oct 2026
A number when divided by $136$ leaves remainder $36$. If the same number is divided by $17$, the remainder will be
Aptitude Number System Difficulty: Easy
30 Oct 2026

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