**Directions (1 – 10): In the given number series, what will come in place of question mark (?) ?**

**1. 1 3 10 ? 152 770 4632**

A) 36

B) 42

C) 65

D) 86

E) 102

**2. 1009 910 812 ? 619 524**

A) 656

B) 715

C) 765

D) 802

E) 603

**3. 1 0 8 19 45 ? 136**

A) 85

B) 100

C) 93

D) 80

E) 63

**4. 61, 68, 82, 92, 103, ?, 115**

A) 107

B) 110

C) 111

D) 108

E) 109

**5. 4 6 9 13.5 20.25 30.375 ?**

A) 40.625

B) 45.5625

C) 47.5625

D) 48.5625

E) None of these

**6. 2, 8, 43, 211, ?**

A) 1051

B) 841

C) 631

D) 1055

E) 963

**7. 118, 218, 339, 564, 789, ?**

A) 1365

B) 1014

C) 1518

D) 1150

E) 1318

**8. 94, 92, 101, 73, 138, ?**

A) 12

B) 24

C) 161

D) 189

E) 63

**9. 11, 6, 7, 12, 26, ?**

A) 62.5

B) 54

C) 67.5

D) 81

E) 75

**10. 2, 3, 14, 69, ?, 1825**

A) 340

B) 344

C) 365

D) 141

E) 144

**Answers:**

**1. A)**The given series is in the pattern:

→ 1

→ 1 × 1 + 2 = 3

→ 3 × 2 + 4 = 10

→ ? = 10 × 3 + 6 = 36

→ 36 × 4 + 8 = 152

→ 152 × 5 + 10 = 770

→ 770 × 6 + 12 = 4632

So, the required number is 36.

**2. B)**The given series is in following pattern:

1009 – 99 = 910

910 – 98 = 812

812 – 97 = 715

715 – 96 = 619

619 – 95 = 524

So, the required number is 715.

**3. D)**The given series is in following pattern:

1

1

^{3 }– 1 = 0
2

^{3 }- 0 = 8
3

^{3}– 8 = 19
4

^{3}– 19 = 45
5

^{3}– 45 = 80
6

^{3}– 80 = 136
So, the missing number is 80.

**4. A)**Every term is obtained by adding the sum of digits of the previous term in itself.

So, the pattern of the given number
series is as following:

→ 61,

→ 61 + 6 + 1 = 68,

→ 68 + 6 + 8 = 82,

→ 82 + 8 + 2 = 92,

→ 92 + 9 + 2 = 103,

→ 103 + 1 + 0 + 3 = 107,

→ 107 + 1 + 0 + 7 = 115

Hence, the required number is 107.

**5. B)**The pattern of given series is –

6 = 4 × 1.5

9 = 6 × 1.5

13.5 = 9 × 1.5

20.25 = 13.5 × 1.5

30.375 = 20.25 × 1.5

? = 30.375 × 1.5

? = 45.5625

**6. B)**The pattern of the given number series is as following-

→ 2

→ 2 × 7 - 6 = 8,

→ 8 × 6 - 5 = 43,

→ 43 × 5 - 4 = 211,

→ 211 × 4 - 3 = 841

Hence, the required number in the
place of the question mark is 841.

**7. A)**The pattern of the given number series is as following-

→ 118

→ 118 + (1 + 1 + 8)

^{2}= 218,
→ 218 + (2 + 1 + 8)

^{2}= 339,
→ 339 + (3 + 3 + 9)

^{2}= 564,
→ 564 + (5 + 6 + 4)

^{2}= 789,
→ 789 + (7 + 8 + 9)

^{2}= 789 + 576 = 1365
Hence, the required number in the
place of the question mark is 1365.

**8. A)**The pattern of the given number series is as following-

→ 94

→ 94 - (1

^{3}+ 1) = 92,
→ 92 + (2

^{3}+ 1) = 101,
→ 101 - (3

^{3}+ 1) = 73,
→ 73 + (4

^{3}+ 1) = 138,
→ 138 - (5

^{3}+ 1) = 12
Hence, the required number in the
place of the question mark is 12.

**9. C)**The pattern of the given number series is as following-

→ 11

→ 11 × 0.5 + 0.5 = 6,

→ 6 × 1 + 1 = 7,

→ 7 × 1.5 + 1.5 = 12,

→ 12 × 2 + 2 = 26,

→ 26 × 2.5 + 2.5 = 67.5

Hence, the required number in the
place of the question mark is 67.5.

**10. A)**The pattern of the given number series is as following-

→ 2

→ 2 × 1 + 1

^{3}= 3,
→ 3 × 2 + 2

^{3}= 14,
→ 14 × 3 + 3

^{3}= 69,
→ 69 × 4 + 4

^{3}= 340,
→ 340 × 5 + 5

^{3}= 1825
Hence, the required number in the
place of the question mark is 340.