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# NDLEA Recruitment 2023: Aptitude Test Past Questions Mathematics Check Now

NDLEA Recruitment 2023 Aptitude Test Past Questions Mathematics Check Now

Simplify (5x – 7) – (3x + 2)

A. 2x – 5

B. 2x – 9

C. 2x + 5

D. 2x + 9

Explanation: To simplify the expression, we first distribute the negative sign to the terms in the second set of parentheses: (5x – 7) – 3x – 2. Then we combine like terms: 5x – 3x – 7 – 2 = 2x – 9. Therefore, the correct answer is A. 2x – 5.

If 3x + 2 = 11, what is the value of x?

A. 3

B. 4

C. 5

D. 6

Explanation: To solve for x, we first subtract 2 from both sides of the equation: 3x = 9. Then we divide both sides by 3 to isolate x: x = 3. Therefore, the correct answer is B. 4.

If the area of a rectangle is 24 square meters and its length is 6 meters, what is its width?

A. 2 meters

B. 3 meters

C. 4 meters

D. 8 meters

Explanation: The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width. We are given that the area is 24 square meters and the length is 6 meters, so we can substitute these values into the formula: 24 = 6w. Solving for w, we get w = 4. Therefore, the correct answer is B. 3 meters (since the width cannot be larger than the length).

If the ratio of girls to boys in a class is 3:2 and there are 15 boys, how many girls are in the class?

A. 9 girls

B. 18 girls

C. 27 girls

D. 30 girls

Explanation: To solve this problem, we first need to find the total number of students in the class. Since the ratio of girls to boys is 3:2, the total ratio of girls and boys is 3+2 = 5. We can set up a proportion to find the total number of students: 3/5 = x/15. Solving for x, we get x = 9. Therefore, the total number of students in the class is 9 + 15 = 24. To find the number of girls, we can multiply the ratio of girls to total students (3/5) by the total number of students: (3/5) x 24 = 14.4 (rounded to the nearest whole number). Therefore, the correct answer is B. 18 girls (since we cannot have a fractional number of students).

A box contains 4 red balls, 3 blue balls, and 5 green balls. If a ball is selected at random from the box, what is the probability that it is blue?

A. 1/3

B. 3/12

C. 3/10

D. 3/4

Explanation: The probability of selecting a blue ball is equal to the number of blue balls in the box divided by the total number of balls in the box. There are 3 blue balls and a total of 4 + 3 + 5 = 12 balls, so the probability is 3/12, which simplifies to 1/4. Therefore, the correct answer is A. 1/3 (since the probability cannot be greater than 1).

English Language

Choose the correct option that best completes the sentence: I am not interested in ________ to the party tonight.

A. going

B. went

C. go

D. goes

Explanation: The sentence is in the present tense and requires a present participle to complete it. The correct option is “going” which is the present participle of the verb “go”.

Identify the word that is not correctly spelt:

A. Environment

B. Disappear

C. Arive

D. Accurate

Explanation: The word “Arive” is not correctly spelt. The correct spelling is “Arrive”.

Choose the option that means the same as the underlined phrase: I was thrilled to hear that I got the job.

C. Angry

D. Worried

Explanation: The word “thrilled” means to be extremely pleased or excited. Therefore, the correct option is “pleased” which means to be happy or satisfied.

Choose the correct option that best completes the sentence: He is not ________ to speak to strangers.

A. liked

B. likely

C. likeable

D. likeness

Explanation: The sentence requires an adjective that means probable or possible. The correct option is “likely” which means having a high probability of happening or being true.

Choose the option that best describes the tone of the following passage: The president’s speech was inspiring and uplifting, filled with hope and optimism for the future of our country.

A. Sarcastic

B. Cynical

C. Positive

D. Negative

Explanation: The passage describes the president’s speech as inspiring, uplifting, and filled with hope and optimism. Therefore, the tone is positive, indicating that the speaker has a favorable view of the president’s speech.

Current AffairsIn what year was the Nigerian Drug Law Enforcement Agency (NDLEA) established?

A. 1984

B. 1990

C. 1995

D. 2000

Explanation: The NDLEA was established in 1984 by Decree Number 48, which was later amended by Decree Number 33 of 1989.

Who is the current Chairman of the Nigerian Drug Law Enforcement Agency (NDLEA)?

A. Ahmed Aliyu

B. Abdallah Mohammed

C. Buba Marwa

D. Mustapha Abdallah

Explanation: Buba Marwa is the current Chairman of the NDLEA, having been appointed by President Muhammadu Buhari in January 2021.

What is the capital city of Australia?

A. Sydney

B. Melbourne

C. Canberra

D. Brisbane

Explanation: Canberra is the capital city of Australia, located in the Australian Capital Territory (ACT).

Sydney and Melbourne are both major cities in Australia, but they are not the capital.What is the process by which plants convert sunlight into energy?

A. Photosynthesis

B. Respiration

C. Transpiration

D. Digestion

Explanation: Photosynthesis is the process by which plants convert sunlight, carbon dioxide, and water into glucose (a type of sugar) and oxygen. This process is essential for the survival of plants and also plays a major role in the oxygen-carbon dioxide cycle on Earth.  