5th Grade > Mathematics
PATTERNS MCQs
:
B
According to the given code of secret language,
E→VN→MG→TL→OI→RS→HH→S∴ Original message−ENGLISHSecret message−VMTORHS
:
B
In the above figures, we observe that the sum of the numbers diagonally opposite to each other is equal to the number in the circle.
For example, in the first square 10 + 19 = 18 + 11 = 29
So, the number in place of '?' = 14 + 23 = 15 + 22 = 37
:
D
The sequence follows:
144, 121, 100, 81, ____
144=12×12121=11×11100=10×1081=9×9
We can see that each term of the sequence is the square of a number. It means a number is multiplied by itself.
Also, the number multiplied with itself in the following term is one less than the previous term.
So, the next term in the sequence is the square of 8, which is
8×8=64
:
B
The above sequence can be split into two sequences, one having numbers and another having alphabets:
The number pattern is as follows:
So, the next term in the above pattern is 22.
The sequence of the alphabets is:
F, E, D, C
We observe that the alphabets are in reverse alphabetical order.
So the next term in the sequence of alphabets is B.
So, the next term in the sequence is 22 B.
So, the sequence becomes 12 F, 13 E, 15 D, 18 C, 22 B.
:
B
The terms of the above sequence can be split into three sequences.
The first alphabet of each term: A, B, C, D
These are in alphabetical order, so the next term will have the alphabet E.
The sequence of numbers: 5, 10, 15, 20
These numbers are the multiples of 5, so the number in the number in the next term is 25.
The second alphabet of each term: Z, Y, X, W
These terms are in reverse alphabetical order, so the second alphabet in the next term is V.
Therefore, the next term in the sequence is E25V.
:
A
The sequence follows 2, 5, 10, 17, 26, 37, 50, 65, ___.
We can observe,
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
26 - 17 = 9
37 - 26 = 11
50 - 37 = 13
65 - 50 = 15
If we find the difference between the differences between any two consecutive terms, it is equal to 2.
So, the next term in the sequence will be (15 + 2) or 17 more than the last given term.
That is,
65 + 17 = 82
:
C
The pattern given is 3140624, 3140724, 3140824, _______
Let us calculate the difference between two consecutive terms.
3140724 - 3140624 = 100
3140824 - 3140724 = 100
We observe that each term in the sequence is 100 more than the previous term.
So, the next term in the sequence = 3140824 + 100 = 3140924
:
B
The terms in the sequence are:
1=1×14=2×29=3×316=4×425=5×536=6×6
We observe that the nth term in the sequence is n × n.
So, the 7th term of the sequence = 7 × 7 = 49
The 8th term in the sequence = 8 × 8 = 64
So, the next two terms in the sequence are 49, 64.