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I have two watches with a 12 hour cycle. One of them gains one minute a day and the other loses $1 \frac{1}{2}$ minutes per day. If I set them both at the correct time, how long will it be before they again tell the correct time together?
Aptitude Clock Difficulty: Hard
06 Sep 2026
The ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is
Aptitude Volume and Surface Area Difficulty: Easy
06 Sep 2026
What is the weight of water contained in a conical vessel $21$ cm deep and $16$ cm in diameter? (R.R.B., 2006)
Aptitude Volume and Surface Area Difficulty: Medium
06 Sep 2026
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be
Aptitude Volume and Surface Area Difficulty: Medium
06 Sep 2026
If the circumference of a circle is increased by 20%, what will be the effect on the circle?
Aptitude Area Difficulty: Easy
06 Sep 2026
The area of a circle inscribed in an equilateral triangle is $154 \text{ cm}^2$. Find the perimeter of the triangle.
Aptitude Area Difficulty: Medium
06 Sep 2026
A circular grassy plot of land, 42 m in diameter, has a path 3.5 m wide running around it outside. The cost of gravelling the path at ₹ 4 per square metre is
Aptitude Area Difficulty: Medium
06 Sep 2026
A rectangular carpet has an area of 120 sq. metres and a perimeter of 46 metres. The length of its diagonal is
Aptitude Area Difficulty: Medium
06 Sep 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. What is the speed of the train? (S.B.I.P.O., 2002) I. The train crosses a tree in 13 seconds. II. The train crosses a platform of length 250 metres in 27 seconds. III. The train crosses another train running in the same direction in 32 seconds.
Verbal Reasoning Data Sufficiency Difficulty: Medium
06 Sep 2026
A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Aptitude Problems on Trains Difficulty: Medium
06 Sep 2026
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. The speed of the boat in still water is (I.I.F.T., 2008)
Aptitude Boats and Streams Difficulty: Hard
06 Sep 2026
Directions: Each of the questions below consists of a statement and/or a question and two statements labelled I and II given below it. You have to decide whether the data provided in the statements is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question; Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; and Give answer (e) if the data in both Statements I and II are necessary to answer the question. What is the present age of the mother? (M.A.T., 2007) I. Father's age is 8 years more than the mother's age. Father got married at the age of 28 years. II. Present age of the father is 30 years. Four years back the ratio of mother's age to father's age was $12 : 13$.
Verbal Reasoning Data Sufficiency Difficulty: Medium
06 Sep 2026
A merchant has $1000$ kg of sugar, part of which he sells at $8\%$ profit and the rest at $18\%$ profit. He gains $14\%$ on the whole. The quantity (in kg) sold at $18\%$ profit is (L.I.C.A.A.O., 2007)
Aptitude Profit and Loss Difficulty: Medium
06 Sep 2026
The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate of growth is
Aptitude Percentage Difficulty: Easy
06 Sep 2026
When expressed as a fraction $64\%$ would mean
Aptitude Percentage Difficulty: Easy
06 Sep 2026
$$ (48)^{-\frac{2}{7}} \times (16)^{-\frac{5}{7}} \times (3)^{-\frac{5}{7}} = $$ $x$
Aptitude Surds and Indices Difficulty: Hard
06 Sep 2026
The value of $(-\frac{1}{216})^{-\frac{2}{3}}$ is
Aptitude Surds and Indices Difficulty: Medium
06 Sep 2026
The average of $10$ numbers is $40.2$. Later it is found that two numbers have been wrongly added. The first is $18$ greater than the actual number and the second number added is $13$ instead of $33$. Find the correct average.
Aptitude Average Difficulty: Medium
06 Sep 2026
The average of two numbers is $XY$. If one number is $X$, the other is
Aptitude Average Difficulty: Medium
06 Sep 2026
A teacher bought a certain number of friendship bands for the students in the classroom for Friendship Day celebrations. Each student gives a friendship band to every other student. However, on the Friendship Day, 2 students were absent as a result of which 122 friendship bands were not utilized. But one out of the two absent students came late. Find the number of friendship bands which finally remained unutilized.
Aptitude Simplification Difficulty: Hard
06 Sep 2026
The difference between $\frac{3}{4}$th of $\frac{4}{5}$th of a number and $\frac{1}{6}$th of $\frac{2}{5}$th of the same number is 648. What is the number?
Aptitude Simplification Difficulty: Easy
06 Sep 2026
The expression $\frac{x + y}{x - y} \div \frac{(x + y)^2}{(x^2 - y^2)}$ is equal to
Aptitude Simplification Difficulty: Easy
06 Sep 2026
When $\left( \frac{1}{2} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6} \right)$ is divided by $\left( \frac{2}{5} - \frac{5}{9} + \frac{3}{5} - \frac{7}{18} \right)$, the result is
Aptitude Simplification Difficulty: Medium
06 Sep 2026
If $(10^{12} + 25)^2 - (10^{12} - 25)^2 = 10^n$, then the value of $n$ is
Aptitude Number System Difficulty: Medium
06 Sep 2026
Match List I with List II and select the correct answer: List I ($a, b$ as given in Euclidean algorithm $a = bq + r$) A. $a = -112, b = -7$ B. $a = 118, b = -9$ C. $a = -109, b = 6$ D. $a = 115, b = 8$ List II (Values of $q$ and $r$) 1. $q = -13, r = 1$ 2. $q = 14, r = 3$ 3. $q = -19, r = 5$ 4. $q = 16, r = 0$
Aptitude Number System Difficulty: Medium
06 Sep 2026

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