Ghana Police Service Aptitude Test Questions – Numeracy & Logical Reasoning

Ghana Police Service Aptitude Test Questions – Numeracy & Logical Reasoning: Find below the Ghana Police Service Aptitude Test Questions & Answers on Numeracy & Logical Reasoning. These questions are sampled up to help you in your preparation for the aptitude test come Saturday, November 13th, 2021.

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1. A function g is defined by g:x = (2x – 1)/x. For what value of x is g undefined?

A. 1
B. 0.5
C. 0
D. -0.5

ANS: C

2. A water tank is a cube of side 2 m the depth of water in it is 60 cm. What is the volume of water in the tank?

A. 2.4 m³
B. 4 m
C. 8 m³
D. 24 m³

ANS: A

3. Given that A = 60° and B = 30°, evaluate (sin B + 2 cos A) ÷ cos B, leaving your answer in surd form.

A. 3√3
B. 1 + 2√3
C. √3
D. 1 – √3

ANS: C

4. The length of a side of an equilateral triangle 🔼 is 10 cm. Find the height of the triangle 🔼.

A. 11.18 cm
B. 10.00 cm
C. 8.66 cm
D. 5.00 cm

ANS: C

5. Solve the equation 12 + 6/x = 9

A. 3
B. 2
C. -2
D. -3

ANS: C

6. If w = -3, x = 14, y = 17 and z = -2, evaluate [(x – y)³ + z²] ÷ w³

A. 23/27
B. 31/27
C. -23/27
D. -31/27

ANS: C

7. There are 40 identical marbles in a box. 18 of the marbles are blue, 14 red, and 8 green. What is the probability that a marble selected at
random is either blue or green?

A. 1/5
B. 9/20
C. 11/20
D. 13/20

ANS: D

8. The mean of the numbers 15, 21, 17, 26, 18, 29 is 21. Calculate the
the standard deviation of the numbers.
A. 0
B. 5
C. 6
D. 25

ANS: B

9. In an examination, the sum of the marks obtained by Kofi and Ama was 81 and the difference was 17. If Kofi had a larger Mark, find Ama’s mark.

A. 32
B. 37
C. 47
D. 49

ANS: A

10. Find the gradient of the line joining the points P(-2,6) and Q(3,-2).

A. 8/5
B. 1/4
C. -5/8
D. -8/5

ANS: D

11. What is the time, in minutes, taken to cover 8.1 km at an average speed of 5 m/s?

A. 4.5
B. 16.2
C. 22.3
D. 27.0

ANS: D

12. Which of the following satisfies 3x + 1 = 4 (mod 9)?

A. 2
B. 3
C. 4
D. 5

ANS: C

13. If 8^x = 2√2, find the value of x.

A. 3/2
B. 1
C. 0.5
D. -1/2

ANS: C

14. If 3log(2 + x) = log27, find x.

A. -1
B. 1
C. 0.5
D. 6

ANS: B

15. Simplify √450 – √200

A. 2√5
B. 5√2
C. 5√5
D. 10√2

ANS: B

16. Quame borrowed ¢300,000.00 from a GCB BANK. He repaid the loan in six equal instalments of ¢55,000.00. How much interest did he pay?

A. ¢3,000.00
B. ¢30,000.00
C. ¢33,000.00
D. ¢50,000.00

ANS: B.

17. A man deposited $80,000.00 in a bank at a 12% compound interest per annum. How much did the man have in the bank at the second year?

A. $89,600.00
B. $90,752.00
C. $99,200.00
D. $100,352.00

ANS: D

18. The insurance premium on a 23-seater bus is ¢3,279,600.00 plus 5% of the insured value. What is the insurance premium on a 23-seater bus insured for ¢150,000,000.00?

A. ¢4,220,400.00
B. ¢7,500,000.00
C. ¢7,663,980.00
D. ¢10,779,600.00

ANS: D.

19. The length, l, of a simple pendulum varies directly as the square of its period, T. A pendulum of length 99.4 cm has a period of 2 seconds. Find, correct to two decimal places, the length of a pendulum of period 2.5 seconds.

A. 63 62 cm
B. 79.52 cm
C. 124.25 cm
D. 155.31 cm

ANS: D

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

A. ¢4,900
B. ¢5,000
C. ¢4,700
D. ¢4,800

ANS: B

21. Evaluate [(0.14)² × 0.275] ÷ 7(0.02), correct to 3 decimal places.

A. 0.039
B. 0.358
C. 0.033
D. 0.308

ANS: A

22. In a class, 24 students read Physics, 21 read Mathematics and 9 read both Physics and Mathematics. If each student reads at least one of the two subjects, find the number of students in the class.

A. 27
B. 36
C. 45
D. 54

ANS: B

23. Write 57774, correct to three significant figures.

A. 57800
B. 57700
C. 5780
D. 578

ANS: A

24. What is the least value of m if 2³×3³×7×m is a perfect square?

A. 7
B. 21
C. 42
D. 63

ANS: C

25. Factorize completely the expression
(h + 2k)² + 4k² – h².

A. 8k²
B. 2k(h + 2k)
C. 2k(2h + 3k)
D. 4k(h + 2k)

ANS: D

26. Evaluate in base two 11011 – 101

A. 10010
B. 10100
C. 10110
D. 10101

ANS: C

27. Find the length of the vector (4, -2)

A. 2
B. 2√3
C. 2√5
D. 20

ANS: C

28. The bearing of Q from P is 040° and the bearing of R from P is 130°. If |PQ| = r and |PR| = 2r, find |QR|.

A. √3r
B. √5r
C. r√3
D. r√5

ANS: C

29. When the point (4, 5) is rotated through an angle in the anticlockwise direction about the origin, its image is (-5, 4). What is the angle of rotation?

A. 90°
B. 180°
C. 270°
D. 300°

ANS: A

30. If x + 6/x = 5, find the value of x² + 36/x².

A. 13
B. 19
C. 25
D. 37

ANS: A

31. The minute hand of a wall clock is 10.5 cm long. How far does its tip travel in 24 hours? [ Take π = 22/7 ]

A. 0.66 m
B. 1.32 m
C. 7.92 m
D. 15.84 m

Table of Contents

What is the highest rank in Ghana Police Service?

The highest rank in the Service is the Inspector-General of Police (IGP) and descends to an Assistant Superintendent of Police (ASP) being the last rank within the Senior Officers schedule.

What does the Ghana Police Service do?

The mission of the Police Service is to ensure crime prevention and detection, apprehension, and prosecution of offenders, consistent with the expectations of Ghanaians for safe, secure, and peaceful communities.

Ghana Police service ranks and symbols

RANK MARKINGS

Inspector-General of Police (IGP)
Deputy Inspector-General of Police (D/IGP)
Commissioner of Police (COP)
Deputy Commissioner of Police (DCOP)
Assistant Commissioner of Police (ACP)
Chief Superintendent of Police (C/Supt)
Superintendent of Police (Supt)
Deputy Superintendent of Police (DSP)
Assistant Superintendent of Police (ASP)
Cadet Officer (CO)
Chief Inspector (C/Inspr)
Inspector (Inpr)
Regiment Sergeant Major (RSM)
District Sergeant Major (DSM)
Sergeant (Sgt)
Corporal (Cpl)
Lance Corporal (L/Cpl)
Constable – Nil

Prospectus for ghana police service

The above are some of the Samples of Ghana police Service Aptitude Test Questions & Answers on Numeracy & Logical Reasoning. GPS Aptitude Test Questions and Answers For October 2021 Recruitment.

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Ghana Police Service Aptitude Test Questions – Numeracy & Logical Reasoning

What is the highest rank in Ghana Police Service?

What does the Ghana Police Service do?

Ghana Police service ranks and symbols

RANK MARKINGS

Prospectus for ghana police service

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