Olympiad Test: Patterns - 2 | 20 Questions MCQ Test

QUESTION: 1

Select a figure from the options below which will continue the series established in the five problem figures.

A.
A
B.
B
C.
C
D.
D

Solution:

Triangle changes its position from
centre to right hand bottom corner
and the arrow moves 90° clock
wise at the same position i.e. Left
hand top corner F will come after E.

QUESTION: 2

Find the next figure in pattern

Solution:

in the series, 6 sided polygon will be the next

QUESTION: 3

find out the missing numbers /letters / figures from the given responses.

A.
M/13
B.
M/14
C.
M/15
D.
M/16

Solution:

QUESTION: 4

find out the missing numbers /letters / figures from the given responses.

A.
A
B.
B
C.
C
D.
D

Solution:

The position of small square moves
in the pattern of +1, +2, +3. So,
after leaving two corners. Position
(D) in answer figure is achieved.

QUESTION: 5

find out the missing numbers /letters / figures from the given responses.

A.
A
B.
B
C.
C
D.
D

Solution:

In problem figure black dot moves three steps in clockwise direction and white dot moves two steps in clockwise direction.

QUESTION: 6

find out the missing numbers /letters / figures from the given responses.

A.
1
B.
4
C.
5
D.
6

Solution:

1st Column – 3²–3 = 9–3 = 6
2nd Column – 8²–8 = 64 –8 = 56
So, pattern followed is X² –X = Y
So 1² –1 = 0

QUESTION: 7

A.
100
B.
140
C.
136
D.
125

Solution:

If we consider these columns as X,
Y and Z, then we get the pattern

X² + Z² = Y
3² + 4² = 9 + 16 = 25
7² + 8² = 49 + 64 = 113
6² + 8² = 36 + 64 = 100

QUESTION: 8

Find out the Wrong term in the series.

3, 10, 27, 4,16, 64, 5, 25,125

A.
3
B.
10
C.
27
D.
25

Solution:

The pattern followed is 3, 3², 3³, 4,
4², 4³, 5, 5², 5³.
So, 10 should be replaced by 9.

QUESTION: 9

Find out the Wrong term in the series.

5, 10, 17, 24, 37

A.
10
B.
24
C.
37
D.
5

Solution:

The pattern followed is +5,+7,+9,+11
5 + 5 = 10
10 + 7 = 17
17 + 9 = 26
26 + 11 = 37

QUESTION: 10

Find out the Wrong term in the series.

20, 40, 200, 400, 2000, 4000, 8000

A.
200
B.
2000
C.
4000
D.
8000

Solution:

So, 20,000 will replace 8000.

QUESTION: 11

How many circles will be there in pattern 10.

A.
30
B.
40
C.
36
D.
32

Solution:

The pattern followed is 4×N
where N = no. of pattern

no. of circles in pattern 1
= 4×1 = 4
no. of circles in pattern 2
= 4×2 = 8
So the number of circles in pattern
= 4×10 = 40

QUESTION: 12

Select the figure from answer figures which completes the pattern.

A.
A
B.
B
C.
C
D.
D

Solution:

In each successive figure one circle increases at outer and inner respectively.

QUESTION: 13

Find the missing number:

A.
328
B.
421
C.
630
D.
810

Solution:

Number inside the square is multiplication of numbers present on corners.
3×5×8×2 = 240
2×7×6×4 = 336
Similarly, 5×9 ×6 ×3 = 810

QUESTION: 14

Select the figure from answer figures which completes the pattern.

A.
A
B.
B
C.
C
D.
D

Solution:

Star in each successive figure
moves one step clockwise.

QUESTION: 15

Select the figure from answer figures
which completes the pattern.

A.
A
B.
B
C.
C
D.
D

Solution:

In the problem figures the arrow moves 4, 3, 2 and 1 step respectively in clockwise direction and black dot moves 2, 3, 4 and 5 steps respectively in clockwise direction.

QUESTION: 16

In the following series, what will be the 8th term?
2, 6, 18, 54, ______________

A.
4427
B.
4351
C.
4374
D.
4372

Solution:

The series follows the following

QUESTION: 17

Find out the wrong term in the following series.
2, 3, 9, 27, 112, 565, 3396

A.
2
B.
3
C.
9
D.
565

Solution:

The series follows the following
pattern
2×1+1 = 3
3×2 + 2 = 8
8 × 3 + 3 = 27
So, the number 9 is wrong and
should be replaced by 8.

QUESTION: 18

Study the matrix below that follows a certain rule row-wise or column-wise. Find the missing number.

A.
289
B.
269
C.
144
D.
121

Solution:

In the given matrix following pattern
exits.
Centre row = (Top row + bottom
row)²
81 = (7 + 2)² = 9²
169 = (9+4)² = 13²
In the same way (11 + 6)² = 17² =
289

QUESTION: 19

See the figure blow and tell how many match sticks are needed to male pattern 5?

A.
54
B.
36
C.
43
D.
35

Solution:

In Pattern 1, number of matchsticks
= 8 + 7(1–1)
In pattern 2, number of matchsticks
= 15 = 8+7(2–1)
In pattern 3, number of matchsticks
= 22 =8+7(3–1)
So, in pattern 5, number of
matchsticks = 8+7×(5–1)
= 8 + 7 × 4
= 8 + 28
= 36