NLN NEX MATH ENTRANCE EXAM LATEST 2026 With DETAILED ANSWERS (GUARANTEED PASS)

NLN NEX MATH ENTRANCE EXAM LATEST 2026 With DETAILED ANSWERS
(GUARANTEED PASS)

Question
Which of the following is a rational number?
A. √2
B. π
C. 0.333...
D. √3 - VERIFIED ANSWER- C. 0.333...
Rationale: 0.333... is a repeating decimal which can be expressed as the fraction 1/3,
making it a rational number. √2, π, and √3 are all irrational numbers.
Question
Which of the following is an irrational number?
A. 3/4
B. 0.75
C. √16
D. √5 - VERIFIED ANSWER- D. √5
Rationale: √5 is approximately 2.2360679... with a non-repeating, non-terminating
decimal, making it irrational. The others are rational numbers.
Question
Convert 3/8 to a decimal.
A. 0.375
B. 0.38
C. 0.3̅
D. 2.67 - VERIFIED ANSWER- A. 0.375
Rationale: 3 ÷ 8 = 0.375 exactly.

,Question
Convert 5/8 to a percentage.
A. 0.625%
B. 6.25%
C. 62.5%
D. 625% - VERIFIED ANSWER- C. 62.5%
Rationale: 5/8 = 0.625 as a decimal. 0.625 × 100 = 62.5%.
Question
What is 0.45 as a fraction in simplest form?
A. 45/100
B. 9/20
C. 4/5
D. 45/10 - VERIFIED ANSWER- B. 9/20
Rationale: 0.45 = 45/100 = (45÷5)/(100÷5) = 9/20.
Question
What is 65% as a fraction in simplest form?
A. 65/100
B. 13/20
C. 65/10
D. 13/25 - VERIFIED ANSWER- B. 13/20
Rationale: 65% = 65/100 = (65÷5)/(100÷5) = 13/20.
Question
What is 0.8 as a percentage?
A. 0.8%
B. 8%
C. 80%
D. 800% - VERIFIED ANSWER- C. 80%
Rationale: 0.8 × 100 = 80%.

,Question
What is 150% as a decimal?
A. 0.15
B. 1.5
C. 15
D. 150 - VERIFIED ANSWER- B. 1.5
Rationale: 150% ÷ 100 = 1.5.
Question
What is the least common multiple (LCM) of 6 and 8?
A. 12
B. 16
C. 24
D. 48 - VERIFIED ANSWER- C. 24
Rationale: Multiples of 6: 6, 12, 18, 24, 30... Multiples of 8: 8, 16, 24, 32... The smallest
common multiple is 24.
Question
What is the greatest common factor (GCF) of 24 and 36?
A. 6
B. 12
C. 18
D. 24 - VERIFIED ANSWER- B. 12
Rationale: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. The
largest common factor is 12.
Question
Add: 2/5 + 3/10
A. 5/15
B. 5/10
C. 7/10

, D. 1/2 - VERIFIED ANSWER- C. 7/10
Rationale: LCD is 10. 2/5 = 4/10. 4/10 + 3/10 = 7/10.
Question
Subtract: 5/6 - 1/3
A. 4/3
B. 1/2
C. 2/3
D. 4/6 - VERIFIED ANSWER- B. 1/2
Rationale: LCD is 6. 1/3 = 2/6. 5/6 - 2/6 = 3/6 = 1/2.
Question
Multiply: 2/3 × 5/7
A. 7/10
B. 10/21
C. 7/21
D. 10/10 - VERIFIED ANSWER- B. 10/21
Rationale: Multiply numerators: 2 × 5 = 10. Multiply denominators: 3 × 7 = 21. Result =
10/21.
Question
Divide: 3/4 ÷ 1/2
A. 3/8
B. 1/2
C. 1 1/2
D. 3/2 - VERIFIED ANSWER- C. 1 1/2
Rationale: Keep 3/4, switch to ×, flip 1/2 to 2/1. 3/4 × 2/1 = 6/4 = 3/2 = 1 1/2.
Question
Convert 7/3 to a mixed number.
A. 2 1/3
B. 2 2/3