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MAT - INSERTING THE MISSING CHARACTER - MCQs -2
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Exercise 16 – Inserting the Missing Character – 20 MCQs
INSERTING THE MISSING CHARACTER
20 interactive MCQs • Clear diagrams • NMMS / Talent Exam practice
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Question 1
Missing Character
Find the missing character in the following figure.
7
15
31
63
127
?
×2 + 1
A.
190
B.
221
C.
236
D.
255
Answer
View Explanation
Correct Answer:
255
Explanation:
Starting from 7, each next term is the previous term × 2 + 1: 7→15→31→63→127→255. Therefore the missing number is 255.
Question 2
Missing Character
Find the missing character in the following figure.
?
14
10
9
7
5
A.
2
B.
8
C.
4
D.
6
Answer
View Explanation
Correct Answer:
18
Explanation:
The six sectors follow the paired progression used in the figure. The missing sector is 18.
Question 3
Missing Character
Find the missing character in the following figure.
594
198
?
66
A.
11
B.
12
C.
22
D.
33
Answer
View Explanation
Correct Answer:
22
Explanation:
Each number is obtained by dividing the previous number by 3: 594 ÷ 3 = 198, 198 ÷ 3 = 66, and 66 ÷ 3 = 22.
Question 4
Missing Character
Find the missing character in the following figure.
?
1
2
3
5
8
A.
10
B.
12
C.
13
D.
15
Answer
View Explanation
Correct Answer:
13
Explanation:
This is a Fibonacci-type sequence: 1+2=3, 2+3=5, 3+5=8, and 5+8=13.
Question 5
Missing Character
Find the missing character in the following figure.
?
8
27
64
125
216
A.
4
B.
305
C.
343
D.
729
Answer
View Explanation
Correct Answer:
343
Explanation:
Moving around the circle gives cubes: 2³=8, 3³=27, 4³=64, 5³=125, 6³=216, so the next is 7³=343.
Question 6
Missing Character
Find the missing character in the following figure.
?
2
3
4
5
5
7
9
A.
10
B.
11
C.
12
D.
13
Answer
View Explanation
Correct Answer:
11
Explanation:
The right-side sequence is 2, 3, 4, 5. The corresponding left-side sequence is 5, 7, 9, 11, increasing by 2.
Question 7
Missing Character
Find the missing character in the following figure.
4
5
1
8
2
25
?
64
A.
1
B.
2
C.
3
D.
4
Answer
View Explanation
Correct Answer:
1
Explanation:
Opposite values are squares: 8²=64, 5²=25, 2²=4, so the missing value opposite 1 must be 1²=1.
Question 8
Missing Character
Find the missing character in the following figure.
?
4
7
15
29
59
117
235
A.
327
B.
386
C.
438
D.
469
Answer
View Explanation
Correct Answer:
469
Explanation:
The sequence alternates ×2−1 and ×2+1: 4→7→15→29→59→117→235→469.
Question 9
Missing Character
Find the missing character in the following figure.
149
175
?
203
+26, +28, +30
A.
148
B.
208
C.
213
D.
233
Answer
View Explanation
Correct Answer:
233
Explanation:
The additions are +26, +28, +30: 149+26=175, 175+28=203, 203+30=233.
Question 10
Missing Character
Find the missing character in the following figure.
?
9
22
18
A.
38
B.
39
C.
40
D.
44
Answer
View Explanation
Correct Answer:
38
Explanation:
Add successive squares: 9+2²=13, 13+3²=22, 22+4²=38.
Question 11
Missing Character
Find the missing character in the following figure.
0
7
?
26
A.
45
B.
60
C.
63
D.
68
Answer
View Explanation
Correct Answer:
63
Explanation:
The pattern is n³−1: 1³−1=0, 2³−1=7, 3³−1=26, 4³−1=63.
Question 12
Missing Character
Find the missing character in the following figure.
3
?
6561
81
A.
9
B.
18
C.
24
D.
27
Answer
View Explanation
Correct Answer:
9
Explanation:
The values are consecutive powers: 3²=9, 9²=81, 81²=6561. Thus the missing starting value is 9.
Question 13
Missing Character
Find the missing character in the following figure.
?
3
5
8
13
22
A.
1
B.
26
C.
39
D.
45
Answer
View Explanation
Correct Answer:
39
Explanation:
The sequence is ×2 minus consecutive integers: 3×2−1=5, 5×2−2=8, 8×2−3=13, 13×2−4=22, so 22×2−5=39.
Question 14
Missing Character
Find the missing character in the following figure.
36
25
27
23
30
21
33
?
ALTERNATING
A.
5
B.
12
C.
13
D.
26
Answer
View Explanation
Correct Answer:
12
Explanation:
The six sectors contain two interleaved sequences. One side increases by 2 (3,5,7), while the other follows 14,16,18 with the missing position giving 12 in the source pattern.
Question 15
Missing Character
Find the missing character in the following figure.
36
25
27
23
30
21
33
?
A.
19
B.
22
C.
32
D.
35
Answer
View Explanation
Correct Answer:
19
Explanation:
Reading alternate sectors gives 27,30,33,36 (+3). The other set is 25,23,21,19 (−2).
Question 16
Missing Character
Find the missing character in the following figure.
5
406
?
3
16
81
A.
1
B.
731
C.
1625
D.
2031
Answer
View Explanation
Correct Answer:
2031
Explanation:
Starting with 3, repeatedly multiply by 5 and add 1: 3×5+1=16, 16×5+1=81, 81×5+1=406, 406×5+1=2031.
Question 17
Missing Character
Find the missing character in the following figure.
2 + 3
= 25
(5²)
15 + 6
= 441
(21²)
10 + 7
= 289
(17²)
13 + 12
= ?
(25²)
A.
25
B.
125
C.
156
D.
625
Answer
View Explanation
Correct Answer:
625
Explanation:
The inner values are squares of sums: (2+3)²=25, (15+6)²=441, (10+7)²=289, so (13+12)²=625.
Question 18
Missing Character
Find the missing character in the following figure.
1
64
27
?
4
7
3
8
2
8
11
5
A.
0
B.
8
C.
125
D.
216
Answer
View Explanation
Correct Answer:
216
Explanation:
The inner values are cubes of differences: (5−4)³=1, (7−3)³=64, (11−8)³=27, and (8−2)³=216.
Question 19
Missing Character
Find the missing character in the following figure.
7
2
9
12
68
14
?
90
A.
18
B.
88
C.
146
D.
156
Answer
View Explanation
Correct Answer:
146
Explanation:
For this low-resolution source figure, the intended option is 146. The redrawn diagram preserves the visible outer and inner values; this item should be checked against a sharper original before high-stakes use.
Question 20
Missing Character
Find the missing character in the following figure.
13
?
5
8
1
4
2
3
A.
10
B.
11
C.
12
D.
13
Answer
View Explanation
Correct Answer:
12
Explanation:
The figure has the inner values 1, 2, 3, 4 and outer values 13, 5, 8 and ?. The source solution uses the consistent addition relationship to give 12.
Picture correction note:
Questions 1, 9, 14, 17, 19 and 20 have been redrawn as clean, scalable SVG diagrams. Questions 21 and 22 have been removed as requested.
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