# Prisons Service Numeracy Questions & Answers

Here is the Ghana Prisons Service Aptitude Test Questions & Answers on Numeracy & Logical Reasoning.

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Table of Contents

## About GIS, GNFS, Police & Prisons Service Past Questions

The Ghana Immigration Service, Ghana National Fire service, and the Ghana Prisons Service Aptitude test are scheduled to take place on **Saturday 30th October.**

Applicants who have have successfully undergone the screening exercise for the GIS recruitment are to expect an SMS between Thursday and Friday containing the exact aptitude test date

## Prisons Service Numeracy Questions & Answers

- Find the principal which amounts to ¢5,500 at simple interest in 5 years at 2% per annum.
- ¢4,900

B. ¢5,000

C. ¢4,700

D. ¢4,800

**ANS: B**

- Evaluate [(0.14)² × 0.275] ÷ 7(0.02), correct to 3 decimal places.
- 0.039

B. 0.358

C. 0.033

D. 0.308

**ANS: A**

- 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.
- 27

B. 36

C. 45

D. 54

**ANS: B**

- Write 57774, correct to three significant figures.
- 57800

B. 57700

C. 5780

D. 578

**ANS: A**

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

B. 21

C. 42

D. 63

**ANS: C**

- Factorize completely the expression

(h + 2k)² + 4k² – h². - 8k²

B. 2k(h + 2k)

C. 2k(2h + 3k)

D. 4k(h + 2k)

**ANS:** D

- Evaluate in base two 11011 – 101
- 10010

B. 10100

C. 10110

D. 10101

**ANS: C**

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

B. 10.00 cm

C. 8.66 cm

D. 5.00 cm

**ANS: C**

- Solve the equation 12 + 6/x = 9
- 3

B. 2

C. -2

D. -3

**ANS: C**

- If w = -3, x = 14, y = 17 and z = -2, evaluate [(x – y)³ + z²] ÷ w³
- 23/27

B. 31/27

C. -23/27

D. -31/27

**ANS: C**

- 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**

- 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.
- 32

B. 37

C. 47

D. 49

**ANS: A**

- Find the gradient of the line joining the points P(-2,6) and Q(3,-2).
- 8/5

B. 1/4

C. -5/8

D. -8/5

**ANS: D**

- What is the time, in minutes, taken to cover 8.1 km at an average speed of 5 m/s?
- 4.5

B. 16.2

C. 22.3

D. 27.0

**ANS: D**

- Which of the following satisfies 3x + 1 = 4 (mod 9)?
- 2

B. 3

C. 4

D. 5

**ANS: C**

- If 8^x = 2√2, find the value of x.
- 3/2

B. 1

C. 0.5

D. -1/2

**ANS: C**

- If 3log(2 + x) = log27, find x.
- -1

B. 1

C. 0.5

D. 6

**ANS: B**

- Simplify √450 – √200
- 2√5

B. 5√2

C. 5√5

D. 10√2

**ANS: B**

- 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?
- ¢3,000.00

B. ¢30,000.00

C. ¢33,000.00

D. ¢50,000.00

**ANS: B.**

- 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?
- $89,600.00

B. $90,752.00

C. $99,200.00

D. $100,352.00

**ANS: D**

- 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?
- ¢4,220,400.00

B. ¢7,500,000.00

C. ¢7,663,980.00

D. ¢10,779,600.00

**ANS: D.**

- 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.

- 63 62 cm

B. 79.52 cm

C. 124.25 cm

D. 155.31 cm

**ANS: D**

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

B. 2√3

C. 2√5

D. 20

**ANS: C**

- 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|.
- √3r

B. √5r

C. r√3

D. r√5

**ANS: C**

- 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?
- 90°

B. 180°

C. 270°

D. 300°

**ANS: A**

- If x + 6/x = 5, find the value of x² + 36/x².
- 13

B. 19

C. 25

D. 37

**ANS: A**

- 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 ]
- 0.66 m

B. 1.32 m

C. 7.92 m

D. 15.84 m - 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?
- 2.4 m³

B. 4 m

C. 8 m³

D. 24 m³

**ANS: A**

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

B. 1 + 2√3

C. √3

D. 1 – √3

**ANS: C**

- There are 40 identical marbles in a b

You sent 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? - 1/5

B. 9/20

C. 11/20

D. 13/20

**ANS: D**

- 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**

Alright friends these are the Sample of Ghana Prisons Service Aptitude Test Questions & Answers on Numeracy & Logical Reasoning.

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