List of practice Questions

What is the first term of an arithmetic progression of positive integers?
Statement I
I. Sum of the squares of the first and the second term is 116.
Statement II
II. The fifth term is divisible by 7.
Find the odd word out from the given set:
In this question, each sentence has been divided into four parts, marked a, b, c and (d) Identify that part of the sentence which needs to be changed for the sentence to be grammatically correct.
The Mumbai police have found the body of a man who they believe to be the prime suspect in a murder case. Identify the incorrect part.
Arrange sentences A, B, C and D between sentences 1 and 6, so as to form a logical sequence of six sentences.
1. The top management should perceive the true worth of people and only then make friends.
(a) Such 'true friends' are very few and very rare.
(b) Factors such as affluence, riches, outward sophistication and conceptual abilities are not prerequisites for genuine friendship.
(c) Such people must be respected and kept close to the heart.
(d) Business realities call for developing a large circle of acquaintances and contacts; however, all of them will be motivated by their own self-interest and it would be wrong to treat them as genuine friends.
6. There is always a need for real friends to whom one can turn for balanced, unselfish advice, more so when one is caught in a dilemm(a)
In this question, each sentence has been divided into four parts, marked a, b, c and (d) Identify that part of the sentence which needs to be changed for the sentence to be grammatically correct.
Almost all school teachers insist that a student's mother is responsible for the student's conduct as well as his dress. Identify the incorrect part.

PQRS is a square. SR is a tangent (at point S) to the circle with centre O and TR = OS. Then the ratio of area of the circle to the area of the square is:

If a 4 digit number is formed with digits 1, 2, 3 and 5. What is the probability that the number is divisible by 25, if repetition of digits is not allowed?
The length of a ladder is exactly equal to the height of the wall it is leaning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is
Two positive integers differ by 4 and sum of their reciprocals is $\frac{10}{21}$. Then one of the numbers is
A, B, C and D are four towns any three of which are non-collinear. Then the number of ways to construct three roads each joining a pair of towns so that the roads do not form a triangle is
Find the odd word out from the given set:
Largest value of \( \min(2 + x^2, 6 - 3x) \), when \( x>0 \), is
Which of the following is the most stable ecosystem?
The sexual reproduction is absent in
Glycolysis takes place in
Let z and w be two complex numbers such that $|z| \le 1, |w | \le 1$ and $|z + i w |= | z - \overline {iw}| = 2$ , then z equals
Find the odd word out from the given set:
Find the odd word out from the given set:
Find the odd word out from the given set:
Find the odd word out from the given set:
Find the odd word out from the given set:
Find the odd word out from the given set:
In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?

In the given figure, AB is diameter of the circle and points C and D are on the circumference such that $\angle CAD = 30^\circ$ and $\angle CBA = 70^\circ$. What is the measure of $\angle ACD$? 

Copper sulphate dissolves in ammonical solution to give deep blue colour. The colour is due to the formation of: