NDA 2018 MATHEMATICS Past Questions and Answers

NDA MATHEMATICS 2018 PAST QUESTIONS AND ANSWERS

 

1.      A number of the form An4 + bn2 + Cn + d where A = 4, b = 2, c = 2, d = 1 and n = 10, is divisible by __.

A.     5

B.     2

C.     9

D.      7

2.      Find X if 9^x-2 = 81

A.     4

B.     2

C.     6

D.     3

3.      Solve for Sin X, if Sin2x +(Sin x-2) = 4

A.     1, -3

B.     2, -3

C.     3, -2

D.     2, 4

4.      In the figure below if AB = 8, BD = 2, AC = 10, DE = 6. Calculate AE.

A.     13

B.     10

C.     5¹/₂

D.     12¹/₂

5.      The mean of four numbers is 5 and the mean deviation is 3. Find the fourth number if the mean deviation of the first 3 number is 2.

A.     12

B.     11

C.     6

D.     7

6.      Four Forces acting at a point are in equilibrium. The magnitudes and direction three of them are due – North, 7N South East, 4N South 30˚ East respectively. Find the magnitude of the fourth force

A.     5.31N

B.     4.34N

C.     8.2N

D.     5.38N

7.      Find the angle between the straight lines y=4x-7 and y =3x + 1.

A.     ¹/₁₅

B.     ¹/₁₃

C.     ¹/₁₂

D.     ¹/₁₄

8. What is the value of (P+Q)?

A.     ²/₃

B.     ⁴/₃

C.     -2

D.     2

9.      A 2% error is made in measuring the radius of a sphere. Find the percentage error.

A.     4%

B.     5%

C.     2%

D.     3%

10.  B_____A is subject of the co-domain

A.     Function

B.     Image

C.     Domain

D.     Range

11.  The sum of 10^th terms of an AP is 30 and its 12^th terms 36. Find the first terms and the common difference.

A.     -19.77, 5.07

B.     19.77, 5.07

C.     -19.77, -5.07

D.     19.77, -5.07

12.  For what values of x is x + 3(2-x) ≥ 4-x ?

A.     x≤ 2

B.     x ≥ 2

C.     x ≤ 1

D.     x = c

13.  John writes 8 papers and failed 3 papers, Joel wrote 6 papers and failed 2 papers. If one of them is called and then a paper is selected, what is the probability that the failed paper is selected.

A.     ¹⁵/₄₈

B.     ¹⁷/₄₈

C.     ¹¹/₄₈

D.     ¹³/₄₈

14.  Find the compound interest on ₦450 in 3 years at 4% per annum. Correct to the nearest tenth number.

A.     ₦58

B.     ₦57

C.     ₦56

D.     ₦54

A.     x=4 or x= -5

B.     x= 0 or x = -2

C.     x = 5 or x =-4

D.     x =3 or x =-5

16.  Find the principal which amounts to ₦5,500 at simple interest in 5 years at 2% per annum

A.     ₦4,800

B.     ₦4,900

C.     ₦4,700

D.     ₦5,000

17.  The sum of four numbers is 1214₅. What is the average expressed in based five?

A.     411

B.     401

C.     141

D.     114

18.  Which of the following represent the shaded portion in the figure below?

A.     A∩B’

B.     A’∩B

C.     A’ՍB

D.     A – B

19.  The triangle PQR above is ______.

A.     An Obtuse-Angled triangle

B.     An Equilateral Triangle

C.     An Isosceles Triangle

D.     A Scalene Triangle

20.  Given    U = {Even numbers between 0 and 30}

               P= {Multiples of 6 between 0 and 30}

               Q = {Multiples of 4 between 0 and 30}

               Find (PՈQ)’

A.     {4, 6, 16, 18, 20}

B.     {0, 10, 14, 22, 26}

C.     {2, 4, 14, 18, 26}

D.     {2, 10, 14,22,26}

ANSWERS

1.      C

2.      A
3.      B
4.      D
5.      C
6.      B
7.      B
8.      D
9.      A
10.  D
11.  A
12.  A
13.  B
14.  C
15.  C
16.  D
17.  C
18.  A
19.  C
20.  D

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