Preparing for the CAT exam requires a solid grasp of concepts, speed, and accuracy especially when it comes to Number System. This article provides a set of MCQs on Number System to help you in understanding the topic and improve problem-solving skills.
Each question has a detailed solutions to ensure conceptual clarity and assist you in preparation. Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.
CAT Questions
1.
Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?- 3
- 4
- 1
- $1\frac{1}{3}$
2.
The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is- 10
- 20
- 14
- 15
3.
For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky = a
A necessary condition for the system to have no solution for (x, y), is- ap - 6 = 0
- \(kp + 12 \neq 0\)
- ap + 6 = 0
- \(2a + k \neq 0\)
4.
ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is5.
The number of all positive integers up to 500 with non-repeating digits is6.
Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is- 12
- 16
- 14
- 18
Fees Structure
Structure based on different categories
| Categories | State |
|---|---|
| General | 2400 |
| sc | 1200 |
| pwd | 1200 |
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