CogAT Quantitative Number Puzzles Questions and Answers 1 — Questions and Answers
Question 1: Which number should replace the question mark to make the equation true? 14 + 19 = ? + 8
- 25 (Correct answer)
- 33
- 11
- 41
Correct answer: 25
The goal is to balance both sides of the equation. First, calculate the value on the left side: 14 + 19 = 33. To make the right side equal to 33, you must find a number that, when added to 8, results in 33. The calculation is 33 - 8 = 25. Therefore, 25 is the correct number to replace the question mark.
Question 2: Look at the two pairs of numbers: [8 → 4] [12 → 6]. Following the same rule, what number should complete the third pair: [18 → ?]
- 14
- 9 (Correct answer)
- 36
- 10
Correct answer: 9
The rule for each pair of numbers is to divide the first number by 2 to get the second number. In the first pair, 8 ÷ 2 = 4. In the second pair, 12 ÷ 2 = 6. Applying this rule to the third pair, 18 ÷ 2 = 9.
Question 3: What number comes next in the following series? 5, 11, 17, 23, ?
- 28
- 30
- 29 (Correct answer)
- 27
Correct answer: 29
The pattern in this series is to add 6 to the previous number to get the next number. 5 + 6 = 11; 11 + 6 = 17; 17 + 6 = 23. Therefore, the next number is 23 + 6 = 29.
Question 4: A scenario is presented where you must balance two sides of a scale. On one side, you have weights of 7 and 16. On the other side, you have a weight of 9 and need to add one more. Which of the following weights should you add to balance the scale?
- 23
- 10
- 32
- 14 (Correct answer)
Correct answer: 14
This is a number puzzle presented as a scenario. The total weight on the first side is 7 + 16 = 23. To balance the scale, the total weight on the second side must also be 23. Since one weight is 9, the missing weight is 23 - 9 = 14.
Question 5: Which of the following number pairs follows the same rule as the first two? [6 → 36] [8 → 64]
- [9 → 81] (Correct answer)
- [7 → 42]
- [10 → 10]
- [5 → 30]
Correct answer: [9 → 81]
The rule demonstrated in the first two pairs is that the second number is the square of the first number (the number multiplied by itself). 6 x 6 = 36, and 8 x 8 = 64. Following this rule, 9 x 9 = 81.
Question 6: Solve for the missing number in this puzzle: 4 x 9 = 6 x ?
- 5
- 7
- 4
- 6 (Correct answer)
Correct answer: 6
To solve this puzzle, first calculate the left side of the equation: 4 x 9 = 36. The right side of the equation must also equal 36. You need to find what number, when multiplied by 6, gives 36. The answer is 36 ÷ 6 = 6.
CogAT Quantitative Number Puzzles Questions and Answers 1
Which number should replace the question mark to make the equation true?
14 + 19 = ? + 8