RCAT Problem Solving 2

Question 1

A candle burns at 2 cm per hour. After 3 hours it is 12 cm tall. How tall was it originally?

Accepted Answer

18 cm

Answer

In 3 hours it burned 3×2 = 6 cm; original height = 12 + 6 = 18 cm.

Question 2

If you rearrange the letters in 'NEW DOOR,' you can make one word. What is it?

Accepted Answer

WOODEN

Answer

The letters N, E, W, D, O, O, R rearrange to spell WOODEN.

Question 3

Three friends split a bill. Alice pays twice as much as Bob. Carl pays $10 less than Alice. The total is $90. How much does Bob pay?

Accepted Answer

$20

Answer

Bob=x, Alice=2x, Carl=2x−10; x+2x+2x−10=90 → 5x=100 → x=$20.

Question 4

A clock shows 6:00. What angle is formed between the hour and minute hands?

Accepted Answer

180°

Answer

At 6:00 the hour hand points directly down (at 6) and the minute hand points up (at 12), forming a 180° angle.

Question 5

A father is 3 times as old as his son. In 12 years, he will be twice as old. How old is the son now?

Accepted Answer

12

Answer

Son=x, Father=3x; 3x+12=2(x+12) → 3x+12=2x+24 → x=12.

RCAT - Revelian Cognitive Ability Test Practice Test