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DRDO MTS General Math

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DRDO MTS General Math

shape Introduction

DRDO MTS Tier - 2 Examination consisting of Objective Tests for 200 marks will be conducted online. This test would be of 90 minutes duration consisting of 3 Sections as follows. There is no separate timing for each section. DRDO MTS General Math presents the samples related to General Mathsections.

shape Pattern

Tier - 2 Examination consisting of Objective Tests for 100 marks will be conducted online. This test would be of 90 minutes duration consisting of 3 Sections as follows. There is no separate timing for each section.
Sr.No. Name of Tests (NOT BY SEQUENCE) No. of Questions Maximum Marks Time Allotted for Each Test (Separately Timed)
1 General Science 40 40

90 Minutes
2 General Math 40 40
3 General English 20 20

shape Syllabus

S. No. Name of the topic
1 Fundamental Arithmetical operations
2 Percentages.
3 Ration and Proportion
4 Profit and Loss
5 Simple Interest
6 Average
7 Discount
8 Partnership
9 Time & Work
10 Time & Distance
11 Mensuration

shape Samples

1. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
    (A) 1 (B) 4 (C) 20 (D) 21

Answer: Option C
Explanation: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such numbers = 14 Required percentage = [latex]\frac{14}{70}[/latex] x 100% = 20
1. The fourth proportional to 5, 8, 15 is:
    (A) 18 (B) 24 (C) 19 (D) 20

Answer: Option B
Explanation: Let the fourth proportional to 5, 8, 15 be x. Then, 5: 8: 15: x 5x = (8 x 15) X = [latex]\frac{8 × 15}{5}[/latex] = 24
1. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
    (A) 30% (B) 70% (C) 100% (D) 250%

Answer: Option B
Explanation: Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420. New C.P. = 125% of Rs. 100 = Rs. 125 New S.P. = Rs. 420. Profit = Rs. (420 - 125) = Rs. 295. Required percentage = [[latex]\frac{295}{420}[/latex] X 100]% = [latex]\frac{1475}{21}[/latex]%
1. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
    (A) Rs. 35 (B) Rs. 245 (C) Rs. 350 (D) Cannot be determined

Answer: Option D
Explanation: We need to know the S.I., principal and time to find the rate. Since the principal is not given, so data is inadequate.
1. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
    (A) Rs. 4991 (B) Rs. 5991 (C) Rs. 6001 (D) Rs. 6991

Answer: Option A
Explanation: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009. Required sale = Rs. [ (6500 x 6) - 34009 ] = Rs. (39000 - 34009) = Rs. 4991.
1. If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
    (A) Rs. 20 (B) Rs. 21.81 (C) Rs. 22 (D) Rs. 18.33

Answer: Option D
Explanation: S.I. on Rs. (110 - 10) for a certain time = Rs. 10. S.I. on Rs. 100 for double the time = Rs. 20. T.D. on Rs. 120 = Rs. (120 - 100) = Rs. 20. T.D. on Rs. 110 = Rs. [latex]\frac{20}{120}[/latex] X 100 = Rs. 18.33
1. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
    (A) 4 days (B) 6 days (C) 8 days (D) 12 days

Answer: Option B
Explanation: Suppose A, B and C take x, [latex]\frac{X}{2}[/latex] and [latex]\frac{X}{3}[/latex]days respectively to finish the work. Then, [latex]\frac{1}{x}[/latex] + [latex]\frac{2}{x}[/latex] + [latex]\frac{3}{x}[/latex] = [latex]\frac{1}{2}[/latex] [latex]\frac{6}{x}[/latex] = [latex]\frac{1}{2}[/latex] x = 12

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