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`CBSE`

Mathematical Reasoning

1.

If Jhansi is 12 ahead in the rank of Prabha, who ranks 15th from last, then how many students are there in the class if Jhansi ranks 4th in order of merit?

2.

A and B are standing at a place "P". They start moving in the opposite directions at the speed of 5 Kmph and 4 Kmph respectively. What will be the distance between them after 3 hours

3.

From the given alternative words, select the word which cannot be formed using the letters of the given word:

ENVIRONMENT

4.

Let S be a non empty subset of R. Consider the

following statement:

P: There is a rational number x∈S such that x > 0.

Which of the following statements is the negation of the statement P?

5.

The statement p → (q → p) is equivalent to

6.

2 litre of pure alcohol is added to 6 litre, 40% alcohol solution. The percentage of water in the solution is:

7.

Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number iff y is a transcendental number”.

Statement –1: r is equivalent to either q or p

Statement –2: r is equivalent to ∼ (p ↔ ∼ q).

8.

The remainder left out when 8^{2n} –(62)^{2n+1} is divided by 9 is

9.

If

6 x 4 = 12

4 x12 = 24

12 x6 = 36

then

6 x 9 = ?

10.

The distance between two cities is 30 Km. A man goes at a speed of 30 Km per hour and returns at 20 Km per hour. What is his average speed