Which number will come in the place of question mark (?)
1.
Explanation: 22 is the sum of 13 and 9, similarly 44 is the sum of 22, 13 and 9.
2.
Explanation: The first triangle contains squares of 1, 3 and 5, the second triangle contains squares of 2, 4 and 6 and the third triangle contains squares of 3, 5 and 7.
3.
Explanation: The 4 quadrants contain cubes of 1, 2, 3 and 4.
4.
Explanation: The number in the top triangle is 1/9 th of the sum of the two numbers at the bottom. In the first figure, 15 + 12 = 27/9 = 3, in the second figure 44 + 28 = 72/9 = 8 and thus in the question figure, 64 + 53 = 117/9 = 13.
5.
Explanation: The number in the centre is the sum of square roots of the numbers surrounding it.
6.
Explanation: The number in the centre is the sum of square roots of the numbers surrounding it divided by 5. In the first figure, square roots of the numbers are 5 + 5 + 10 + 10 = 30 ÷ 5 = 6. Thus in the question figure, the square roots of the number are 7 + 3 + 4 + 6 = 20 ÷ 5 = 4.
7.
Explanation: The number in the centre is the product of the difference between the opposite numbers. In the first figure, 22 – 16 = 6 and 15 – 9 = 6. The number in the centre is 6 x 6 = 36.
8.
Explanation: The number in the centre is the difference between the difference of opposite numbers. In the first figure, 56 – 8 = 48 and 22 – 15 = 7. The number in the centre is 48 – 7 = 41.
9.
Explanation: The number in the centre is the sum of the product of the opposite numbers. In the first figure, 3 x 3 = 9 and 5 x 6 = 30. The number in the centre is 30 + 9 = 39.
10.
Explanation: In the first figure, 9 x 3 = 27 and 9 x 6 = 54. In the second figure, 14 x 3 = 42 and 14 x 6 = 84. Similarly in the third figure, 7 x 3 = 21 and 7 x 6 = 42.
11.
Explanation: The numbers are in the sequence 8 + 7 = 15, 15 + 14 = 29, 29 + 28 = 57, 57 + 56 = 113 and 113 + 112 = 225.
12.
Explanation: The numbers are in the sequence 9 + 3 = 12, 12 + 6 = 18 and 18 + 9 = 27.
13.
Explanation: The number in the last row is half the product of numbers in each row. Thus in the first column 5 x 2 x 8 = 80 ÷ 2 = 40.
14.
Explanation: The number in the last row is double the sum of numbers in each row. Thus in the first column 2 + 50 + 10 = 62 x 2 = 124.
15.
Explanation: The numbers are squares of 2, 4, 8 and 16.