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Latest Questions

The angle of elevation of the top of a tower from a certain point is $30^\circ$. If the observer moves 20 m towards the tower, the angle of elevation of the top of the tower increases by $15^\circ$. The height of the tower is
Aptitude Height and Distance Difficulty: Hard
05 Sep 2026
A basket contains $4$ red, $5$ blue and $3$ green marbles. If $2$ marbles are drawn at random from the basket, what is the probability that both are red?
Aptitude Probability Difficulty: Medium
05 Sep 2026
In how many different ways can the letters of the word RUMOUR be arranged?
Aptitude Permutation and Combination Difficulty: Medium
05 Sep 2026
In what ratio are the volumes of a cylinder, a cone and a sphere, if each has the same diameter and the same height?
Aptitude Volume and Surface Area Difficulty: Medium
05 Sep 2026
A hollow spherical metallic ball has an external diameter $6$ cm and is $\frac{1}{2}$ cm thick. The volume of metal used in the ball is
Aptitude Volume and Surface Area Difficulty: Hard
05 Sep 2026
The circumference of a circular ground is 88 metres. A strip of land, 3 metres wide, inside and along the circumference of the ground is to be levelled. What is the budgeted expenditure if the levelling costs ₹ 7 per square metre?
Aptitude Area Difficulty: Medium
05 Sep 2026
The circumferences of the front and rear wheels of a bicycle are 3.5 m and 3 m respectively. If the vehicle is moving at a speed of 15 m/sec, the shortest time in which both the wheels will make a whole number of turns is
Aptitude HCF and LCM Difficulty: Medium
05 Sep 2026
The area of a circular field is equal to the area of a rectangular field. The ratio of the length and the breadth of the rectangular field is 14 : 11 respectively and perimeter is 100 metres. What is the diameter of the circular field?
Aptitude Area Difficulty: Hard
05 Sep 2026
The hypotenuse of a right-angled isosceles triangle is $5\text{ cm}$. The area of the triangle is
Aptitude Area Difficulty: Medium
05 Sep 2026
A lawn is in the shape of a rectangle of 80 m length and 50 m width. Outside the lawn there is a footpath of uniform 1 m width bordering the lawn. The area of the footpath is
Aptitude Area Difficulty: Easy
05 Sep 2026
A 180-metre long train crosses another 270-metre long train running in the opposite direction in 10.8 seconds. If the speed of the first train is 60 kmph, what is the speed of the second train in kmph? (Bank P.O., 2010)
Aptitude Problems on Trains Difficulty: Medium
05 Sep 2026
Paschim Express left Delhi for Mumbai at 14.30 hrs travelling at a speed of 60 kmph and August Kranti Express left Delhi for Mumbai on the same day at 16.30 hrs travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet (excluding stoppages)?
Aptitude Problems on Trains Difficulty: Medium
05 Sep 2026
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at :
Aptitude Time and Distance Difficulty: Medium
05 Sep 2026
Three men, four women and six children can complete a work in seven days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
Aptitude Time and Work Difficulty: Medium
05 Sep 2026
Anu is a working partner and Bimla is a sleeping partner in a business. Anu puts in ₹ 5000 and Bimla puts in ₹ 6000. Anu receives 12.5% of the profit for managing the business and the rest is divided in proportion to their capitals. What does each get out of a profit of ₹ 880? (M.A.T., 2010)
Aptitude Partnership Difficulty: Medium
05 Sep 2026
Two alloys contain zinc and copper in the ratio of $2 : 1$ and $4 : 1$. In what ratio the two alloys should be added together to get a new alloy having zinc and copper in the ratio of $3 : 1$?
Aptitude Alligation or Mixture Difficulty: Medium
05 Sep 2026
By selling a bicycle for ₹ 2850, a shopkeeper gains 14%. If the profit is reduced to 8% then the selling price will be (S.S.C., 2010)
Aptitude Profit and Loss Difficulty: Easy
05 Sep 2026
Directions: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) 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; Give answer (e) if the data in both statements I and II together are necessary to answer the question. What percentage of families in the city have telephones? I. 50% of the families of the city possess television. II. 30% of the television owners of the city have telephones.
Aptitude Percentage Difficulty: Medium
05 Sep 2026
Two vessels contain equal quantities of $40\%$ alcohol. Sachin changed the concentration of the first vessel to $50\%$ by adding extra quantity of pure alcohol. Vivek changed the concentration of the second vessel to $50\%$ replacing a certain quantity of the solution with pure alcohol. By what percentage is the quantity of alcohol added by Sachin more/less than that replaced by Vivek?
Aptitude Percentage Difficulty: Hard
05 Sep 2026
The boys and girls in a college are in the ratio $3 : 2$. If $20\%$ of the boys and $25\%$ of the girls are adults, the percentage of students who are not adults is
Aptitude Percentage Difficulty: Easy
05 Sep 2026
If $$ 10^x = \frac{1}{2} $$, then $$ 10^{-8x} = $$ $x$
Aptitude Surds and Indices Difficulty: Medium
05 Sep 2026
The sum of the squares of two numbers is $3341$ and the difference of their squares is $891$. The numbers are
Aptitude Problems on Numbers Difficulty: Medium
05 Sep 2026
Solve $48.2 \times 2.5 \times 2.2 + x = 270$
Aptitude Decimal Fraction Difficulty: Medium
05 Sep 2026
Find the least number which is exactly divisible by $32$, $36$, $45$, $60$ and $80$.
Aptitude HCF and LCM Difficulty: Easy
05 Sep 2026
If $n$ is any odd number greater than 1, then $n(n^2 - 1)$ is
Aptitude Number System Difficulty: Medium
05 Sep 2026

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