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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 ÷
= 6.
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 56 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 : 3 × 5 + 1 = 16 ,
16 × 5 + 1 = 81, 81 × 5 + 1 + 1 = 406.
So , missing number = 406
406 × 5 + 1 = 2031. - Question 41 of 55
41. 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 42 of 55
42. 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 43 of 55
43. 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 44 of 55
44. 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 45 of 55
45. 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 46 of 55
46. 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 47 of 55
47. 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 48 of 55
48. 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 49 of 55
49. 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 50 of 55
50. 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 51 of 55
51. 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 52 of 55
52. Question
Which character when placed at the sign of interrogation shall complete the chart ?
Hint
Consecutive letters occupy alternate positions in each row.
- Question 53 of 55
53. 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 54 of 55
54. 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.
- Question 55 of 55
55. 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,
29 × 2 + 1 = 59,
59 × 2 – 1 = 117,
117 × 2 + 1 = 235.
So missing number
= 235 × 2 – 1 = 469.