NDA & NA | Written Examination — Paper I: Mathematics

NDA & NA: 9-question practice mock

A compact, single-clock NDA & NA practice mock: 9 original questions across Mathematics, each with a worked solution. One third of a mark is deducted for a wrong answer.

Before you start

9 questions in 10 minutes on a single clock — a short drill, not a full-length paper.
Each question carries one mark; one third of a mark is deducted for a wrong answer, and unanswered questions carry no penalty.
Every question is original, written to the NDA & NA pattern, with a worked solution shown after you submit.

Sections in this test

Section	Questions
MathematicsMathematics	9

Sample questions with worked solutions

A few questions from this test, with the answer key and the method behind it. The full set of 9 runs under a timer, and every solution is on the analysis screen once you submit.

Mathematics · solved example

In each, solve for x and y and give the relation: I. x² − 17x + 66 = 0 II. y² + 5y − 66 = 0

x > y
x < y
x ≥ yCorrect
x ≤ y
no fixed relation

Solution

The roots are x = 6, 11 and y = -11, 6. Comparing every x with every y gives "x ≥ y".

Mathematics · solved example

Units sold of four products in a month — P: 180, Q: 140, R: 180, S: 80.

From the table, what is the total number of units sold across all four products?

630
580Correct
780
380
530

Solution

Adding the four figures: 180 + 140 + 180 + 80 = 580.

Mathematics · solved example

The area of a circle is 154 cm². Find its radius (take π = 22/7).

14
6
7Correct
8

Solution

πr² = 154, so r² = 154 × 7/22 = 49 and r = 7 cm.

Mathematics · solved example

A 60-litre mixture has milk and water in the ratio 2 : 1. How much water must be added to make the ratio 1 : 1?

20Correct
15
25
30

Solution

The mixture has 40 litres milk and 20 litres water. To match the 40 litres of milk, water must reach 40 litres, so 40 − 20 = 20 litres are added.

Mathematics · solved example

Find the area of a triangle with base 12 cm and height 6 cm.

24
36Correct
52
48
20

Solution

Area = ½ × base × height = ½ × 12 × 6 = 36 square cm.

How this test is marked

Correct answer

Wrong answer

-0.3333

Unanswered

Because a blank carries no penalty, guessing only pays when you can eliminate at least two options. The analysis screen after the test shows you exactly where guessing cost you marks.