07-12-2024

Given is the set of nine numbers that relate to each other in

certain way. Determine the missing number in the second set.
Assume the second set also works in The same way as the first set.

Puzzles

a) 30 b) 40 c) 50 d) 60
P-1

What number should replace the X ?

a) 130 b) 236 c) 240 d) 198

a) 15 b) 12 c) 18 d) 21

P-2 P-3

What number should replace the question mark? What number should replace the question mark?

a) 22858 b) 12817 c) 23598 d) 12446

a) 25 b) 10 c) 16 d) 19
P-4 P-5

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What number should replace the question mark? What number should replace the question mark?

a) 5 b) 4 c) 3 d) 2
a) 74 b) 78 c) 80 d) 72
P-6 P-7

What number should replace the question mark?

a) 26 b) 27 c) 28 d) 29

P-8 P-9

What number should replace the question mark?

Solution:
It’s a repetition of the number
35793 in snake form i.e.,
Starting from top left towards the
bottom and then going from
bottom to top in the second row
and so on.
Hence our answer will be,
3 5
3 3 a) 55 b) 45
c) 47 d) 57
P-10

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What number should replace the question mark? Find the values of A & B?
a) A = 5
b) A = 3
c) B = 868
Solution:
d) B = 738
(8*6) + 5 = 53
(7*8) + 4 = 60
(5*9) + 7 = 52
(6*8) + 9 = 57

P-10 P-11

Given is the set of nine numbers that relate to each other in Find the missing term in the third figure. Assume the
certain way. Determine the missing number in the second set. third figure works in the same way as the other two.
Assume the second set also works in The same way as the first set.
7 1 13
4 50 6 12 80 20 11 ? 9
8 7 14

a) 110 b) 94
a) 7 b) 3 c) 90 d) 98
c) 9 d) 5
P-12 P-13

The value of X in the diagram below is __ What number should replace the question mark?

Ans: 0.
Sol.
Looking at lines of numbers from the top : 9×8 = 72; 72×8 =
576; 576×8 = 4608;

P-14 P-15

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What number should replace the question mark? What number should replace the question mark?

Ans: 55.
Sol.
Each number indicates its position in the grid.
55 indicates row 5 columns 5.

Ans: 17.
Sol.
It is the sum of the two digits(9 + 8) in the quadrant opposite.

P-16 P-17

What number should replace the question mark? What number should replace the question mark?

Ans: 7. Ans: 49.

Sol. Sol.
91 ÷ 13 = 7. ( 73 + 25) ÷ 2 = 49.

P-18 P-19

How many lines appear below? What number should replace the question mark?

Ans: 11.
Sol. Ans: 4.
11
Sol.
6x9 = 54(reading down the middle two blocks).
P-20 P-21

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What number should replace the question mark? What number should replace the question mark?

Ans: 18.
Ans: 12.
Sol.
Sol. Multiply the bottom numbers to obtain the
Add the digits of each three figure number to obtain the two digit numbers. numbers at the top, albeit they are at the
top of a different pyramid.

P-22 P-23

What number should replace the question mark? What number should replace the question mark?

Ans: 10.
Sol.
Each diagonal line of numbers, starting
with the top left hand corner number,
increases by 1 each time, ie : Ans: 1.
Sol.
Multiply the bottom two numbers then
take the square root,
P-24 i.e. 1×4 = 4 and √4 = 2. P-25

What number should replace the question mark? What number should replace the question mark?

Ans: 4.
Ans: 8.
Sol.
Looking across at the three circles, the number in the Sol.
middle is the product of the two numbers in the same Each number in the segment at the bottom is the sum of
segment in the other two circles. the four numbers in the sections either side.
Thus, 3×2 = 6, 7×3 = 21 and 4×4 = 16. Thus 8 + 3 + 4 + 3 = 18.

P-26 P-27

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Each number in the pyramid is the sum of the two numbers

immediately below it. Fill in the pyramid with the missing numbers?

Ans: 18, 36, 15. Ans: 103.

Sol. Sol.
Top left a third of bottom right, bottom rights is three
less than top right and top right is half of bottom left.

P-28 P-29

What goes into the empty brackets? What number should replace the question mark?

Ans: 10.
Sol.
Start at 1 and working clockwise, jump
one segment adding 2, 3, 4, 5, 6, 7.

Ans: 6380.
Sol.
The numbers inside the brackets are the squares of the numbers outside the
brackets with 1 deducted. Alternatively, multiply 2, 4, 6, 8 and 10 respectively and
put the number at the end of the figure in the brackets, and multiply 3, 5, 7 and 9
by 1,3, 5 and 7 respectively and put these numbers first. P-30 P-31

How many lines appear below? What number should replace the question mark?

Ans: 86.
Ans: 10. Sol.
Add five starightdown;
Sol.
Add ten sideways;
10
Add fifteen diagonally.

P-32 P-33

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What goes into the empty square? What number should replace the question mark?

Ans: 16.
Sol. Ans: 7.
Each number in the bottom rows is Sol.
the sum of the number above it and The numbers in each line contain the digits 1 – 9 once each only.
the previous number.

P-34 P-35

What number should replace the question mark? What number should replace the question mark?

Ans: 12.
Sol. Ans: 11.
Looking across and down, in each line of four
numbers the sum of the first two numbers is one Sol.
less than the sum of the second two numbers. (6×11) + 24 = 90

P-36 P-37

Which of the following is the missing section? What number should replace the question mark?

Ans: A.
Ans: 789.
Sol.
Looking across and down each number is Sol.
the sum of the previous two numbers. 29 + 49 = 78 and
7+2=9

P-38 P-39

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What is X? What number should replace the question mark?

Ans: 11.
Sol.
Each adjacent group of three
numbers total 23 i.e.
11 + 5 + 7 ;
6 + 12 + 5

P-40 P-41

What number should replace the question mark?

What number should replace the question mark?

Ans: 6
Sol.
So that the numbers in the triangles
squares and circles add upto 33.
Ans: 0.
Sol.
From the first array to the second array the four
corner and the middle numbers increase by 1.
From the second array to the third array the
remaining numbers decrease by 1.
P-42 P-43

What number should replace the question mark? What number should go into the blank space?

Ans: 59.
Sol.
Proceeding from top to bottom along the rows
from left to right, add the two previous numbers
Ans: 44. and add 1, then add the two previous numbers
and subtract 1, and so forth, adding 1 and
Sol. subtracting 1 alternately. Thus the two numbers
(7×5) + 9 = 44. previous to the blank square are 22 and 38.
These are added together, giving 60, and 1
subtracted from the total.

P-44 P-45

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What number should replace the question mark? What number should replace the question mark?

Ans: 9.
Sol.
Looking across, lines containing 1 number total 7, lines
of 2 numbers total 14, lines of 3 numbers total 21 and
lines of 4 numbers total 28.
Ans: 3
Sol.
looking from the first array to the second
array, all odd numbers increase by 1 and
even numbers decrease by 1.
P-46 P-47

What are A, B, C, and D? What goes into the empty brackets?

Ans: A is 4; B is 20; C is 5; D is 2.
Sol.
Add the numbers from top to
bottom diagonally to the left of the
bottom line for the first three
positions on the bottom line, and
to the right for the next three Ans: 55706065
positions. 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.
P-48 P-49

What number should replace the question mark? What number should replace the question mark?

Ans: 2. ns: 3
Sol. Sol.
So that each square block of (3 × 9) – (6 × 4) = 3.
four numbers totals 15. P-50 P-51

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What number should replace the question mark? Consider following rules while substituting numbers in the given grid.
1. The numbers substituted in each column must be unique
and should add up to the number given in the topmost cell
5 4 5 5 8 4 of the corresponding column.
2. The numbers substituted in each row must be unique and
39 30 ? should add up to the number given in the first cell of the corresponding row.
6 3. The numbers to be used are 1,3, 5, 7 and 9 only.
6 3 2 4 5 Determine the number that will present in place of ?

a) 68 b) 67 c) 45 d) 76

a) 3 b) 1 c) 5 d) 7

What number should replace the question mark? What number should replace the question mark?

2 6 32
9 11 8 10
4 3 31
90 132 72 ?
5 3 ?

a) 45 b) 66 c) 38 d) 22
a) 56 b) 100 c) 110 d) 99

What number should replace the question mark?

121 2 6 32
? 484 4 3 31
3025 1089
5 3 ?
1936

a) 5963 b) 3159 c) 4356 d) 5465

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