Number and Letter Series: How to Spot the Pattern — MCQs with Answers (Set 3)

Each letter’s position moves backward by 3 places. Z is 26th, W is 23rd, T is 20th, Q is 17th. The next position is 17-3, which is 14. The 14th letter is N.

Each letter’s position moves forward by 3 places. C is 3rd, F is 6th, I is 9th, L is 12th. The next position is 12+3, which is 15. The 15th letter is O.

Each term is 7 more than the one before it. Check: 6+7=13 and 13+7=20. So the missing term is 20+7, which is 27. Confirm forward: 27+7=34, and 34+7=41.

Each term increases by a constant 7. Check: 8+7=15, 15+7=22, 22+7=29, 29+7=36. The rule holds for every step shown. So the next term is 36+7, which is 43.

Check each triplet to see if the middle number is the average of the first and third numbers. For (2, 5, 8): the average of 2 and 8 is 5, which matches the middle number. For (10, 15, 20): the average of 10 and 20 is 15, which matches. For (4, 9, 14): the average of 4 and 14 is 9, which matches. For (3, 8, 15): the average of 3 and 15 is 9, but the middle number is 8, which does not match. So the answer is (3, 8, 15).

The given pair is 20 : 4. Check the rule: 20 divided by 5 = 4, which matches. So the rule is: divide the first number by 5 to get the second. Apply the same rule to 45: 45 divided by 5 = 9. So the answer is 9.

The given pair is 0.5 : 0.0005. Check the rule: 0.5 divided by 1000 = 0.0005, which matches. So the rule is: divide the first number by 1000 to get the second. Apply the same rule to 2.4: 2.4 divided by 1000 = 0.0024. So the answer is 0.0024.

In LOTUS, the vowels are O and U. O is the 15th letter and U is the 21st letter of the alphabet. Their positions add up to 15 + 21 = 36, which matches. So the rule is: add up the alphabet positions of only the vowels in the word. In PEACH, the vowels are E and A. E is the 5th letter and A is the 1st letter. Their positions add up to 5 + 1 = 6. So the answer is 6.

D is the 4th letter of the alphabet. Check the rule: (position squared) minus 1 = 4 x 4 – 1 = 15, which matches. So the rule is: number = (letter’s position squared) minus 1. F is the 6th letter of the alphabet. Apply the same rule: 6 x 6 – 1 = 36 – 1 = 35. So the answer is 35.

In the given set (3, 4, 13), check if the third number equals the first number squared plus the second: 3 x 3 = 9, and 9 + 4 = 13, which matches. So the rule is: third number = (first number squared) plus the second number. Test each option with this rule. For (2, 6, 12): 2 x 2 = 4, and 4 + 6 = 10, not 12, so it fails. For (4, 5, 22): 4 x 4 = 16, and 16 + 5 = 21, not 22, so it fails. For (6, 3, 40): 6 x 6 = 36, and 36 + 3 = 39, not 40, so it fails. For (5, 2, 27): 5 x 5 = 25, and 25 + 2 = 27, which matches. So the answer is (5, 2, 27).

The given pair is 6 : 30. Try squaring 6 and subtracting 6: 6 x 6 = 36, and 36 – 6 = 30, which matches. So the rule is: second number = (first number squared) minus the first number. Apply the same rule to 9: 9 x 9 = 81, and 81 – 9 = 72. So the answer is 72.

The given pair is 4 : 64. Check the cube of 4: 4 x 4 x 4 = 64, which matches. So the rule is: the second number is the cube of the first. Apply the same rule to 5: 5 x 5 x 5 = 125. So the answer is 125.

The differences between consecutive terms are 4, 6, 8, 10, 12 (increasing by 2 each time). So the next term is 30 + 12 = 42.