IQ Test with answers - ESL worksheet by bobalim - Free Printable

Let's solve each question in the IQ test step by step and explain the reasoning behind each answer.

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1. Which one of the five is least like the other four?

A) Poem B) Novel C) Painting D) Flower E) Statue

- Analysis: Poem, Novel, Painting, and Statue are all forms of art.
- However, Flower is a natural object, not a human-made work of art.
- The others are man-made artistic creations, while Flower is natural.

✔ Answer: D) Flower

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2. Please find the missing number: 4, 5, 8, 17, 44, ...?

A) 34 B) 38 C) 97 D) 103 E) 125

Let’s look at the pattern:

- 4 → 5: +1
- 5 → 8: +3
- 8 → 17: +9
- 17 → 44: +27

Now observe the differences:
+1, +3, +9, +27 → These are powers of 3:
- 3⁰ = 1
- 3¹ = 3
- 3² = 9
- 3³ = 27
- Next: 3⁴ = 81

So next difference: 44 + 81 = 125

✔ Answer: E) 125

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3. Which vowel comes midway between J and T?

A) M B) D C) E D) O E) C

We need to find the vowel that lies midway between J and T in the alphabet.

- J is the 10th letter
- T is the 20th letter
- Midpoint: (10 + 20)/2 = 15th letter → O
- O is a vowel.

✔ Answer: D) O

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4. Four years ago, Jane was twice as old as Sam. 4 years on from now, Sam will be 3/4 of Jane's age. How old is she now?

A) 8 B) 10 C) 12 D) 14 E) 16

Let:
- Jane’s current age = J
- Sam’s current age = S

From the first statement:
> Four years ago: Jane was twice as old as Sam
→ J - 4 = 2(S - 4)

From the second:
> In 4 years: Sam will be 3/4 of Jane’s age
→ S + 4 = (3/4)(J + 4)

Now solve:

Equation 1:
J - 4 = 2S - 8
→ J = 2S - 4 → (1)

Equation 2:
S + 4 = (3/4)(J + 4)
Multiply both sides by 4:
4S + 16 = 3(J + 4) = 3J + 12
→ 4S + 16 = 3J + 12
→ 4S - 3J = -4 → (2)

Substitute (1) into (2):
4S - 3(2S - 4) = -4
4S - 6S + 12 = -4
-2S = -16 → S = 8

Then J = 2(8) - 4 = 16 - 4 = 12

✔ Answer: C) 12

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5. If each person in a group shakes hands with other 6 persons, then how many handshakes occur in total?

A) 21 B) 42 C) 12 D) 18 E) 28

Each person shakes hands with 6 others → So there are 7 people in the group.

Total handshakes = C(7,2) = 7×6 / 2 = 21

✔ Answer: A) 21

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6. Continue the series: 1, 20, 39, 58, 77, 96, ...?

A) 105 B) 104 C) 120 D) 115 E) 124

Look at the differences:
- 20 - 1 = 19
- 39 - 20 = 19
- 58 - 39 = 19
- 77 - 58 = 19
- 96 - 77 = 19

It's an arithmetic sequence with common difference 19.

Next term: 96 + 19 = 115

✔ Answer: D) 115

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7. If you count from 1 to 100, how many 7’s will pass on the way?

A) 10 B) 11 C) 19 D) 20 E) 23

We count how many times digit 7 appears.

- Units place: 7, 17, 27, 37, 47, 57, 67, 77, 87, 97 → 10 times
- Tens place: 70, 71, 72, 73, 74, 75, 76, 77, 78, 79 → 10 times

But 77 has two 7s → already counted once in units and once in tens.

Total: 10 (units) + 10 (tens) = 20

✔ Answer: D) 20

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8. Rearrange "TCEHAEH" to form a name of a(n):

A) City B) Animal C) Ocean D) River E) Country

Try rearranging letters: T, C, E, H, A, E, H

Let’s see: Try forming "CETHEAH" — doesn’t help.

Wait: "HATECHE"? No.

Try: "EARTH" — we have E, A, R? Wait — no R.

Wait: Letters: T, C, E, H, A, E, H → two E’s, two H’s

Try: "HECTARE" — H, E, C, T, A, R, E — but no R

Wait — perhaps "THE" + "C" + "A" + "E" + "H"?

Wait: "ACHE"? Not helpful.

Wait: "CHATEAU"? But we don’t have U or A twice?

Wait — "CETHEAH" — no.

Wait: Try "HATCEHE" — not working.

Wait — maybe it’s "EARTH"? But no R.

Wait — "HACETEH" — not helping.

Wait: What if it’s "HETAEC" — still not.

Wait — think differently.

Letters: T, C, E, H, A, E, H → T, C, A, E, E, H, H

Try: "HATE", "CHE"?

Wait — what about "COTHANE"? No.

Wait — perhaps "EARTH" — no R.

Wait — "HATE" + "CE"?

Wait — "C" and "H" — could be "C" and "H"?

Wait — try "HEALTH" — H, E, A, L, T, H — but we don’t have L.

Wait — "CHEETAH"? Let's check:

- C, H, E, E, T, A, H → yes! That’s exactly: C, H, E, E, T, A, H → matches our letters!

CHEETAH — an animal.

✔ Answer: B) Animal

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9. Which letter comes next in this series: S, M, H, D, W, M, ..?

A) L B) V C) Y D) T E) C

Let’s write them with positions:

S, M, H, D, W, M, ?

These look like time-related abbreviations:

- S → Sunday
- M → Monday
- H → Hour?
- D → Day?
- W → Week?
- M → Month?

Wait — maybe S, M, H, D, W, M — these are units of time:

- Second
- Minute
- Hour
- Day
- Week
- Month

Next would be Year → Y

So:
S (second), M (minute), H (hour), D (day), W (week), M (month), Y (year)

✔ Answer: C) Y

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10. In English alphabets there are exactly 5 letters between “O” and letter “U”.

A) True B) False

O is 15th letter
U is 21st letter

Letters between: P, Q, R, S, T → 5 letters

Yes, exactly 5.

✔ Answer: A) True

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11. 6121135 is to flame as 21215120 is to ?

A) voice B) bring C) bloat D) castle E) black

This looks like letter-to-number coding, possibly alphabetical position.

Check:
F = 6, L = 12, A = 1, M = 13, E = 5 → So "FLAME" = 6,12,1,13,5 → 6121135 → matches!

Now: 21215120 → break into: 2,1,2,1,5,1,2,0 → wait, maybe 21,21,5,12,0? No.

Wait — likely: 2,1,2,1,5,1,2,0 → invalid.

Wait — perhaps: 21,21,5,12,0? No.

Wait — maybe: 2,1,2,1,5,1,2,0 — doesn't make sense.

Wait — better: 21, 21, 5, 12, 0 — no.

Wait — perhaps split as: 2,1,2,1,5,1,2,0 — no.

Wait — maybe it's 21, 21, 5, 12, 0 — still not.

Wait — perhaps: 2,1,2,1,5,1,2,0 — but 0 is invalid.

Wait — maybe it's 21, 21, 5, 12, 0 — still bad.

Wait — let's reverse: 21215120 → maybe 21, 21, 5, 12, 0 — no.

Wait — perhaps it's B, L, O, A, T?

B = 2, L = 12, O = 15, A = 1, T = 20 → 2,12,15,1,20 → 21215120? No — 2,12,15,1,20 → should be 21215120? Wait:

2 → 2
12 → 12
15 → 15
1 → 1
20 → 20

So: 2,12,15,1,20 → written as 21215120 → yes!

So: 2,12,15,1,20 → B, L, O, A, T → BLOAT

✔ Answer: C) bloat

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12. The day before the day before yesterday is three days after Saturday. What day is it today?

A) Monday B) Wednesday C) Tuesday D) Friday E) Thursday

Break down:

- "The day before the day before yesterday" = two days before yesterday = two days before yesterday → i.e., yesterday minus one = three days ago

Wait:

- Yesterday → 1 day ago
- Day before yesterday → 2 days ago
- Day before the day before yesterday → 3 days ago

So: 3 days ago is three days after Saturday

Three days after Saturday = Tuesday

So: 3 days ago = Tuesday → Today = Friday

✔ Answer: D) Friday

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13. Find the next number: 3, 4, 8, 17, 33, ...?

A) 50 B) 54 C) 58 D) 62 E) 66

Look at differences:

- 4 - 3 = 1
- 8 - 4 = 4
- 17 - 8 = 9
- 33 - 17 = 16

Differences: 1, 4, 9, 16 → squares: 1², 2², 3², 4²

Next difference: 5² = 25

So next number: 33 + 25 = 58

✔ Answer: C) 58

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14. Divide 30 by half and add 10. What do you get?

A) 25 B) 35 C) 70 D) 80 E) 90

"Divide 30 by half" → 30 ÷ (1/2) = 30 × 2 = 60

Then add 10 → 60 + 10 = 70

✔ Answer: C) 70

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15. My successor’s father is my father’s son, and I don’t have any brothers or sons. Who is my successor?

A) Father B) Nephew C) Niece D) Daughter E) Myself

Given:
- "My father’s son" → since I have no brothers, only possible son is me
- So: Successor’s father = me
- Therefore, successor is my child
- And I don’t have sons → so must be daughter

So successor is my daughter

✔ Answer: D) Daughter

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✔ Final Answers:

1. D) Flower
2. E) 125
3. D) O
4. C) 12
5. A) 21
6. D) 115
7. D) 20
8. B) Animal
9. C) Y
10. A) True
11. C) bloat
12. D) Friday
13. C) 58
14. C) 70
15. D) Daughter

Let me know if you'd like a printable version or explanation for any specific question!