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- Question 1 of 55
##### 1. Question

Which character when placed at the sign of interrogation shall complete the chart ?

3 6 8 5 8 4 4 7 ? ##### Hint

Clearly, sum of numbers in each row is 17.

So, missing number = 17 – (4 +7) = 6. - Question 2 of 55
##### 2. Question

Which character when placed at the sign of interrogation shall complete the chart ?

1 12 10 15 2 ? 8 5 3 ##### Hint

This is a multiplication magic square. The product of each set of three numbers in any column or row is the constant 120.

- Question 3 of 55
##### 3. Question

Which character when placed at the sign of interrogation shall complete the chart ?

6 9 15 8 12 20 4 6 ? ##### Hint

In the first row, ,

In the second row, , .

\ In the third row, missing number = - Question 4 of 55
##### 4. Question

Which character when placed at the sign of interrogation shall complete the chart ?

72 24 6 96 16 12 108 ? 18 ##### Hint

In the first row, 72 ÷ = 16.

In the second row, 96 ÷ = 12.

Let the missing number in the third row be x.

Then, 108 ÷ = 18

⇒ = = 6 ⇒ x = 12 - Question 5 of 55
##### 5. Question

Which character when placed at the sign of interrogation shall complete the chart ?

188 300 263 893 ? 915 ##### Hint

In the first row, (263 – 188) × 4 = 300.

∴ In the second row, missing number

= (915 – 893) × 4 = 22 × 4 = 88. - Question 6 of 55
##### 6. Question

Which character when placed at the sign of interrogation shall complete the chart ?

72 24 6 96 16 12 108 ? 18 ##### Hint

In the first row, =

In the second row,

Let the missing number in the third row be x. Then,

⇒ ⇒ x = 12. - Question 7 of 55
##### 7. Question

Which character when placed at the sign of interrogation shall complete the chart ?

23 529 1024 21 441 144 19 361 ? ##### Hint

In each row, the second number is the square of the first number, and the third number is the square of the number obtained by interchanging the digits of the first number.

\ Missing number = (91)2 = 8281. - Question 8 of 55
##### 8. Question

Which character when placed at the sign of interrogation shall complete the chart ?

2 4 0 1 2 4 3 1 3 36 ? 91 ##### Hint

Clearly, (1st row)³ + (2nd row)³ + (3rd row)³ = 4th row

So, in the first column,

2³ + 1³ + 3³ = 8 + 1 + 27 = 36

In the third column,

0³ + 4³ + 3³ = 0 + 64 + 27 = 91

∴ In the second column, missing number

= 4³ + 2³ + 1³ = 64 + 8 +1 = 73 - Question 9 of 55
##### 9. Question

Which character when placed at the sign of interrogation shall complete the chart ?

4 5 6 2 3 7 1 8 3 21 98 ? ##### Hint

Clearly, (1st row)² + (2nd row)² + (3rd row)² = 4th row.

Thus, in the first column, 4² + 2² + 1² = 21.

In the second column, 5² + 3² + 8² = 98.

∴ In the third column, missing number

= 6² + 7² + 3² = 36 + 49 + 9 = 94. - Question 10 of 55
##### 10. Question

Which character when placed at the sign of interrogation shall complete the chart ?

6 6 8 5 7 5 4 3 ? 120 126 320 ##### Hint

In the first column, 6 × 5 × 4 = 120.

In the second column, 6 × 7 × 3 = 126

Let the missing number be x . Then in the third column, we have :

8 × 5 × x = 320

⇒ x = ³²⁰⁄₄₀ = 8. - Question 11 of 55
##### 11. Question

Which character when placed at the sign of interrogation shall complete the chart ?

5 9 8 7 8 6 9 10 7 13 ? 19 5 7 8 9 ##### Hint

In the first column,(5 + 8 + 7) ÷ 4 = 5.

In the second column, (9 + 6 + 13) ÷ 4 = 7.

In the fourth column, (7 + 10 + 19) ÷ 4 = 9.

Let the missing number be x. Then, in the third column, we have : (8 + 9 + x) ÷4 = 8

⇒ 71 + x = 32 ⇒ x =15. - Question 12 of 55
##### 12. Question

Which character when placed at the sign of interrogation shall complete the chart ?

31 17 58 87 68 19 61 65 91 22 70 50 10 142 11 ? ##### Hint

The sum of the numbers in each column is 200.

∴ Missing number = 200 – (87 + 56 + 50) = 7. - Question 13 of 55
##### 13. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The numbers in the right half form the series :

2, 3, 4, 5.

The numbers in the left half form the series :

5, 7, 9, 11. - Question 14 of 55
##### 14. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Start at 2 and, working clockwise, jump three spaces each time adding 3.

- Question 15 of 55
##### 15. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Moving clockwise,

we have : 594 ÷ 3 = 198 : 198 ÷ 3 = 66.

So, missing number = 66 ÷ 3 = 22 - Question 16 of 55
##### 16. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Clearly, (5 – 4)³ = 1;

(7 – 3)³ = 64; (11 – 8)³ = 27.

So, missing number = (8 – 2)³ = 6³ = 216. - Question 17 of 55
##### 17. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The given figure contains numbers 1 to 6 in three alternate segments, the smaller number being towards the outside and the numbers 14 to 19 in the remaining three alternate segments with the smaller number towards the inside.

- Question 18 of 55
##### 18. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Clearly, we have :

7 × 2 + 2 = 16; 16 ×2 + 2 = 34 and so on.

so missing number = 34 ×2 + 2 = 70 - Question 19 of 55
##### 19. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The number inside the triangle is obtained by dividing the product of the numbers outside of the triangle by 10. Thus,

In I triangle, (5 × 6 × 4) ÷10 = 12

In II triangle, (6 × 7 × 5) ÷10 = 21

\ In III triangle, missing number

= (4 × 8 × 10) ÷ 10 = 32. - Question 20 of 55
##### 20. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In fig. (A), 93 – (27 + 63) = 3

In fig, (B), 79 – (38 + 37) = 4

\ In fig. (C), missing number = 67 – (16 + 42) = 9. - Question 21 of 55
##### 21. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The number inside the circle is equal to the difference between the sum of the numbers at the extremities of the horizontal diameter and the sum of numbers at the extremities of the vertical diameter.

In fig. (A), (5 + 6) – (7 + 4) = 0

In fig. (B), (7 + 6) – (8 + 4) = 1.

\ In fig. (C) missing number = (11 + 2) – (0 + 2) = 11 - Question 22 of 55
##### 22. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The number inside the circle is the difference of the numbers on its left and right.

- Question 23 of 55
##### 23. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The number at the centre is to be multiplied by 1, 2, 3, and 4, then subtract ‘1’ from each to get the peripheral number.

- Question 24 of 55
##### 24. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Multiply all the numbers around the circle and then divide it by 10 to get the number at the centre, viz.,

- Question 25 of 55
##### 25. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In fig. (A),

(101 + 15) – (35 + 43) = 116 – 78 = 38.

In fig. (B), Missing number

= (48 + 184) – (56 + 34) = 232 – 90 = 142. - Question 26 of 55
##### 26. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Clearly, we have : 15 × 2 = 30, 2 × 7 = 14, 7 × 9 = 63

So, missing number = 9 × 15 = 135. - Question 27 of 55
##### 27. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The sum of numbers at the extremities of the three line segments in each figure is same.

In fig. (A), 39 + 33 = 29 + 43 = 27 + 45 = 72

In fig. (B), 42 + 31 = 29 + 44 = 30 + 43 = 73

Let the missing number in fig. (C) be x.

Then, x + 10 = 59 + 20 = 40 + 39 = 79 or x = 69. - Question 28 of 55
##### 28. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The digits of the number inside the circle are the differences between the corresponding numbers above and below the circle. Thus,

In fig. (A), 1 = (2 – 1), 3 = (6 – 3), 1 = (5 – 4).

In fig. (B), 2 = (4 – 2), 4 = (6 – 2), 8 = (8 – 0)

So, in fig. (C), the digits of the missing number are :

(7 – 5), (9 – 3), (3 – 1) i.e. 2, 6, 2.

∴ Missing number = 262. - Question 29 of 55
##### 29. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In fig. (A), (915 – 364) = 551.

In fig. (B), (789 – 543) = 246.

\ In fig. (C), missing number = (863 – 241) = 622. - Question 30 of 55
##### 30. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In fig (A), 6² = 36, 8² = 64, 5² = 25, 7²

= 49 and 6 + 8 +5 + 7 = 26

In fig (B), 3² = 9, 5² = 25, 4² = 16, 9² = 81.

and 3 + 5 + 4 + 9 = 21

In fig (C), 5² = 25, 12² = 144, 6² = 36, 8² = 64.

So, missing number = 5 + 12 + 6 + 8 = 31. - Question 31 of 55
##### 31. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In fig (A), (3 × 3) + (6 × 5) = 39

In fig (B), (4× 4) + (5 × 7) = 51

∴ In fig (C), missing number

= (3 × 4) + (5 × 5) = 37 - Question 32 of 55
##### 32. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The arrangement is as follows :

In fig. (A), (3² + 6²) – (2² + 4²) = (9 + 36) – (4 + 16)

= 45 – 20 = 25

In fig. (B), (7² + 11²) – (8² + 6²) = (49 + 121) – (64 + 36)

= 170 – 100 = 70

In fig. (C), let the missing number be x.

Then, (1² + 4²) – (5² + x²) = –12

or 17 + 12 = (52 + x2) or x² = 29 – 25 = 4

or x = 2 - Question 33 of 55
##### 33. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In fig. (A), (6 × 3) + (5 × 15) = 18 + 75 = 93.

In fig. (C), (4 × 8) + (18 × 1) = 32 + 18 = 50.

∴ In fig. (B), missing number

= (9 × 6) + (7 × 5) = 54 + 35 = 89. - Question 34 of 55
##### 34. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In fig. (A), (16 – 6)² + (5 – 2)² = 10² + 3² = 109.

In fig. (B), (22 – 15)² + (21 – 19)²

= 7² + 2² = 53.

∴ In fig. (C), missing number

= (17 – 13)² + (51 – 48)² = 4² + 3² = 25. - Question 35 of 55
##### 35. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The lower number is obtained by adding the square of the upper two numbers. Thus,

In fig. (A), 2² + 4² = 20

In fig. (B), 3² + 9² = 90

∴ In fig. (C), missing number = 1² + 5² = 26 - Question 36 of 55
##### 36. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The above three numbers are multiples of the number at the bottom.

Clearly, 36, 18 and 27 are all multiples of 9.

So, the missing number is 9. - Question 37 of 55
##### 37. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Putting A = 1, B = 2, C = 3, D = 4 … X = 24, Y = 25, Z = 26,

We have F + P = 6 + 16 = 22 : G + N = 7 + 14 = 21

: J + E = 10 + 5 = 15.

Since K = 11, so value corresponding to missing letter

= (27 – 11) = 16

So, the missing letter is the 16th letter of the English alphabet, which is P. - Question 38 of 55
##### 38. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

This way, the sum of the numbers in the same shape total 33.

- Question 39 of 55
##### 39. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

We have (56 + 15) – (22 + 8)

= 41, (46 + 9) – (10 + 6) = 39

So, missing number = (34 + 11) – (14 + 6) = 25. - Question 40 of 55
##### 40. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

We have : 4 × 2 – 1 = 7, 7 × 2 + 1 = 15,

15 × 2 – 1 = 29 × 2 + 1 = 59,

59 × 2 – 1 = 117, 117 × 2 + 1 = 235.

So missing number = 235 × 2 – 1 = 469. - Question 41 of 55
##### 41. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

We have : 3 × 5 + 1 = 16 ,

16 × 5 + 1 = 81, 81 × 5 + 1 + 1 = 406.

So , missing number = 406

406 × 5 + 1 = 2031. - Question 42 of 55
##### 42. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The arrangement is :5 + 3 = 8, 8 + 4 = 12, 12 + 1 = 13.

So, the missing number is 12. - Question 43 of 55
##### 43. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The above three numbers are multiples of the number at the bottom. Clearly 36, 18 and 27 are all multiples of 9. So, the missing number is 9.

- Question 44 of 55
##### 44. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The sum of the two numbers in the upper part is 7 times the number in the lower part.

So, missing number = (89 + 16) + 7 = 15. - Question 45 of 55
##### 45. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

We have : (3 × 4 × 2 × 5) ÷ 10 = 12 ;

(6 × 2 × 3 × 5) ÷ 10 = 18.

So, missing number = (2 × 2 × 9 × 5) ÷ 10 = 18 - Question 46 of 55
##### 46. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

We have : (5 x 3) + (6 x 8) = 63, (2 x 7) + (3 x 9) = 41

So, missing number = (6 x 7) + (8 x 5)

= (42 + 40) = 82. - Question 47 of 55
##### 47. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

We have : + + + = 26 ;

+ + + = 21

So, missing number

= + + +

= (5 + 12 + 6 + 8) = 31 - Question 48 of 55
##### 48. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

We have (15 – 5) (2 + 6) = 80, (9 – 4) (7 + 6) = 65

So, missing number = (13 – 11 ) x (16 + 8) = 48. - Question 49 of 55
##### 49. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The number inside the circle is obtained by multiplying the sum of the upper number, the lower number and the number corresponding to the position of the letter in the english alphabet, by the number on the right and then subtracting the number on the left from the product.

Thus we have (2 + C + 5) x 3 – 4 = (2 + 3 + 5) x 3 – 4 = 26 ; (4 + H + 4) x 5 – 10 = (4 + 8 + 4) x 5 – 10 = 70.

Let the missing number be x.

Then (8 + J + 6) × x – 6 = 90

⇒ (8 + 10 + 6) × x = 96 ⇒ x = 4. - Question 50 of 55
##### 50. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The letter in the second column is three steps behind that in the first column, and the letter in the third column is four steps behind that in the second column. So, the missing letter in the first row will be three steps behind Z, which is W. The missing letter in the second row will be four steps behind O, which is K. The missing letter in the third row will be three steps ahead of G, which is J.

- Question 51 of 55
##### 51. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The letters in the first row follow the sequence + 5, + 7.

The letters in the second row follow the sequence + 6, + 8.

In the third row, the first letter G moves 7 steps forward to give the second letter N. Clearly, the missing letter will be 9 steps ahead of N i.e. W. - Question 52 of 55
##### 52. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Putting A = 1, B = 2, C = 3, ……., M = 13, ….., X = 24,

Y = 25, Z = 26, we have :

In the first column, F – A = 6 – 1 = 5 = E.

In the second column, W – J = 23 – 10 = 13 = M.

\ In the third column, missing letter

= O – K = 15 – 11 = 4 = D. - Question 53 of 55
##### 53. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

Consecutive letters occupy alternate positions in each row.

- Question 54 of 55
##### 54. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

The letters in the first row form a series C, D, E (a series of consecutive letters). The letters in the second row form a series I, K, M (a series of alternate letters). Similarly, the letters in the third row will form the series D, G, J (a series in which each letter is three steps ahead of the previous one). So, the missing letter is G. Also, the number in the second column is equal to the product of the numbers in the first and third columns.

So, missing number is (4 × 7) i.e. 28.

Thus, the answer is 28G. - Question 55 of 55
##### 55. Question

Which character when placed at the sign of interrogation shall complete the chart ?

##### Hint

In each row, out of the letters A, B and C, each of these must appear one. Also, in each column. The product of first and third numbers is equal to the second numbers so, the missing number will be (2 x 4) i.e, 8 and the missing letter will be C. Thus, the answer is 8C.

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