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Number Puzzles Questions and Answers

Puzzles
70. Which two numbers should replace the question marks?
19, 20, 21, ?, ?, 26, 28, 32, 33, 40
Ans: 22 and 24.
Sol.
There are two interwoven sequences. Starting at 19, alternate numbers progress + 2, +3, +4, +5. Starting at 20, alternate numbers progress +2, +4, +6, +8.
 
71. What goes into the empty brackets?
Ans: 55706065
Sol.
In the first line multiply the digits outside the brackets by 2 in this order: extreme left, extreme right, second left and first right. In the second line multiply by 3 and in the third line by A, following the same procedure. Therefore in the fourth line multiply by 5 and follow the same procedure.
 
72. What are X and Y?
Ans: x is 4×1/2 or 4.5 ; y is 112.
Sol.
Halve the terms alternately from the first term : 72 36 18 9 4×1/2 or 4.5(x). Double the terms alternately from the second term : 7 14 28 56 112(y).