**1) **Convert 1126

to a number in base three

**A.**2211**B.**2121**C.**1212**D.**1122

### View Correct Answer

##### Correct Answer: Option D

##### Explanation

First, convert to base 10

1126

= (1 x 62) + (1 x 61) + (2 x 60)

= 36 + 6 + 2

= 4410

then convert the answer to base 2

Ans = 1122 = D

**2)** Evaluate 21/9 to 3 significant figures

**A.**2.30**B.**2.31**C.**2.32**D.**2.33

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##### Correct Answer: Option D

##### Explanation

219=73

">21/9=7/3

= 2.33 (to 3 sig. figs)

**3) **A man earns N3,500 per month out of which he spends 15% on his children’s education. If he spends additional N1,950 on food, how much does he have left?

**A.**N525**B.**N1,025**C.**N1,950**D.**N2,975

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##### Correct Answer: Option B

##### Explanation

Amount spent on children = 15100×3500=N525

Amount spent = Amount on children + Additional amount on food

Amount Spent = N525 + N1950 = N2475

Therefore amount left = N3,500 - N2,475 = N1,025

**4)** If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P ∩ Q

**A.**{3}**B.**{2,3}**C.**{2,3,5}**D.**{1,2}

### View Correct Answer

##### Correct Answer: Option B

##### Explanation

P = {2,3,5}

Q = {2,3,6,9}

P ∩ Q = {2,3}

**5)** In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

**A.**1**B.**2**C.**3**D.**4

### View Correct Answer

##### Correct Answer: Option A

##### Explanation

n(f ∩ v) + n(f) + n(v) + n(f ∩ v) = 46

3 + 19 + 23 + x = 46

22 + 23 + x = 46

45 + x = 46

x = 46 - 45

x = 1