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MENTAL ABILITY
MAT - INSERTING THE MISSING CHARACTER - MCQs -1
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Reasoning – Inserting the Missing Character | 50 MCQs
REASONING – INSERTING THE MISSING CHARACTER
50 MCQs for Classes 7–9 | Talent Exams | NMMS Preparation
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Number Pattern
Number Pattern
Q1. Find the missing number: 4, 8, 24, 96, 480, ?. Each term is multiplied by 1, 2, 3, 4, then 5; continue the pattern.
4
8
24
96
480
?
Identify the operation pattern
A)
960
B)
1440
C)
2880
D)
3600
Answer
View Explanation
Correct Answer:
C) 2880
Explanation:
4×1=4, 4×2=8, 8×3=24, 24×4=96, 96×5=480. Next: 480×6 =
2880
.
Number Pattern
Q2. Find the missing number: 2, 6, 12, 20, 30, ?. Add consecutive even numbers: +4, +6, +8, +10, then +12.
2
6
12
20
30
?
Identify the operation pattern
A)
A) 40
B)
B) 41
C)
C) 42
D)
D) 44
Answer
View Explanation
Correct Answer:
C) 42
Explanation:
6+6=12, 12+8=20, 20+10=30, so 30+12 =
42
.
Number Pattern
Q3. Find the missing number: 5, 10, 15, 30, 35, ?. Repeat the operations ×2, +5.
5
10
15
30
35
?
Identify the operation pattern
A)
60
B)
65
C)
68
D)
70
Answer
View Explanation
Correct Answer:
D) 70
Explanation:
5×2=10, +5=15, ×2=30, +5=35, so 35×2 =
70
.
Number Pattern
Q4. Find the missing number: 7, 14, 28, 56, 112, ?. Double each term.
7
14
28
56
112
?
Identify the operation pattern
A)
224
B)
240
C)
280
D)
320
Answer
View Explanation
Correct Answer:
A) 224
Explanation:
Each term is doubled: 112×2 =
224
.
Number Pattern
Q5. Find the missing number: 4, 12, 18, 54, 60, ?. Repeat the operations ×3, +6.
4
12
18
54
60
?
Identify the operation pattern
A)
120
B)
160
C)
180
D)
200
Answer
View Explanation
Correct Answer:
C) 180
Explanation:
4×3=12, +6=18, ×3=54, +6=60, so 60×3 =
180
.
Triangle
Triangle
Q6. In the triangle, square each corner number, add the three squares, and divide by 2. What is the centre for 4, 6 and 8?
4
6
8
?
A)
48
B)
58
C)
60
D)
64
Answer
View Explanation
Correct Answer:
B) 58
Explanation:
4²+6²+8² = 16+36+64 = 116; 116÷2 =
58
.
Triangle
Q7. In the triangle, add the three corner numbers and multiply the sum by 2. Find the centre for 5, 7 and 6.
5
7
6
?
A)
30
B)
34
C)
36
D)
40
Answer
View Explanation
Correct Answer:
C) 36
Explanation:
5+7+6=18; 18×2 =
36
.
Triangle
Q8. In the triangle, multiply the largest corner by the difference of the other two. For 4, 9 and 5, find the centre.
4
9
5
?
A)
9
B)
18
C)
20
D)
22
Answer
View Explanation
Correct Answer:
A) 9
Explanation:
The largest number is 9. The difference of the other two is 5−4=1. Thus 9×1 =
9
.
Y Figure
Y Figure
Q9. In the Y-figure, subtract the left upper number from the right upper number, then divide by 2. For 24 and 40, find the bottom.
24
40
?
difference ÷ 2
A)
6
B)
7
C)
8
D)
9
Answer
View Explanation
Correct Answer:
C) 8
Explanation:
40−24=16; 16÷2 =
8
.
Y Figure
Q10. In the Y-figure, add the two upper numbers and divide by 6. For 48 and 72, find the bottom.
48
72
?
A)
12
B)
18
C)
20
D)
24
Answer
View Explanation
Correct Answer:
C) 20
Explanation:
48+72=120; 120÷6 =
20
.
Y Figure
Q11. In the Y-figure, multiply the two upper numbers and divide by 28. For 56 and 88, find the bottom.
56
88
?
A)
168
B)
172
C)
176
D)
184
Answer
View Explanation
Correct Answer:
C) 176
Explanation:
56×88=4928; 4928÷28 =
176
.
Alphabet
Alphabet
Q12. Using A=1, B=2, …, Z=26, find F×P.
F
P
A=1, B=2, …, Z=26
multiply values
A)
90
B)
92
C)
96
D)
100
Answer
View Explanation
Correct Answer:
C) 96
Explanation:
F=6 and P=16. Therefore 6×16 =
96
.
Alphabet
Q13. Using alphabet positions, find G²−N.
G
N
A=1, B=2, …, Z=26
square first, then subtract second
A)
30
B)
35
C)
40
D)
42
Answer
View Explanation
Correct Answer:
B) 35
Explanation:
G=7 and N=14. So 7²−14 = 49−14 =
35
.
Alphabet
Q14. Using alphabet positions, find J−E.
J
E
A=1, B=2, …, Z=26
subtract values
A)
3
B)
4
C)
5
D)
6
Answer
View Explanation
Correct Answer:
C) 5
Explanation:
J=10 and E=5. Thus 10−5 =
5
.
Alphabet
Q15. If K×? = 176, find the missing letter.
K
?
A=1, B=2, …, Z=26
divide 176 by K
A)
M
B)
N
C)
P
D)
Q
Answer
View Explanation
Correct Answer:
C) P
Explanation:
K=11. So the missing value is 176÷11=16, which is the letter
P
.
Alphabet
Q16. If H+? = 25, then take the missing value and multiply it by 2. What number is obtained?
H
?
A=1, B=2, …, Z=26
find missing value, then ×2
A)
30
B)
34
C)
36
D)
38
Answer
View Explanation
Correct Answer:
B) 34
Explanation:
H=8, so ?=25−8=17. Then 17×2 =
34
.
Alphabet
Q17. Using alphabet positions, find D+R−2.
D
R
A=1, B=2, …, Z=26
add values, then −2
A)
18
B)
20
C)
22
D)
24
Answer
View Explanation
Correct Answer:
B) 20
Explanation:
D=4 and R=18. Therefore 4+18−2 =
20
.
Average + 2
Average + 2
Q18. Define value(XY) = (X×Y)÷3 + 1. Find CF.
C
F
A=1, B=2, …, Z=26
multiply ÷3, then +1
A)
5
B)
6
C)
7
D)
8
Answer
View Explanation
Correct Answer:
C) 7
Explanation:
C=3 and F=6. (3×6)÷3+1 = 6+1 =
7
.
Average + 2
Q19. Define value(XY) = X+Y−5. Find XY.
X
Y
A=1, B=2, …, Z=26
add, then −5
A)
40
B)
42
C)
44
D)
46
Answer
View Explanation
Correct Answer:
C) 44
Explanation:
X=24 and Y=25. 24+25−5 =
44
.
Average + 2
Q20. Define value(XY) = X×Y−10. Find KM.
K
M
A=1, B=2, …, Z=26
multiply, then −10
A)
120
B)
130
C)
133
D)
143
Answer
View Explanation
Correct Answer:
C) 133
Explanation:
K=11 and M=13. 11×13−10 =
133
.
Average + 2
Q21. Define value(XY) = (X+Y)×2. Find PV.
P
V
A=1, B=2, …, Z=26
add, then ×2
A)
72
B)
76
C)
80
D)
84
Answer
View Explanation
Correct Answer:
B) 76
Explanation:
P=16 and V=22. (16+22)×2 =
76
.
Average + 2
Q22. Define value(XY) = |X−Y|+20. Find TX.
T
X
A=1, B=2, …, Z=26
difference +20
A)
22
B)
23
C)
24
D)
25
Answer
View Explanation
Correct Answer:
C) 24
Explanation:
T=20 and X=24. |20−24|+20 = 4+20 =
24
.
3×3 Matrix
3×3 Matrix
Q23. In the column, Bottom = Top + Middle + Third. Top=24, Middle=14 and Bottom=41. Find Third.
24
14
41
Bottom = Top + Middle + Third
A)
2
B)
3
C)
4
D)
5
Answer
View Explanation
Correct Answer:
B) 3
Explanation:
24+14+x=41, so x =
3
.
3×3 Matrix
Q24. In the column, Bottom = (Top−Third)×Middle. Top=32, Middle=16, Third=4. Find Bottom.
32
16
4
Bottom = (Top−Third)×Middle
A)
384
B)
416
C)
432
D)
448
Answer
View Explanation
Correct Answer:
D) 448
Explanation:
(32−4)×16 = 28×16 =
448
.
Letter-number Matrix
Number Row
Q25. In the row, Middle = (First+Third)÷2 + 2. For 4, ?, 16 find Middle.
4
?
16
A)
10
B)
11
C)
12
D)
13
Answer
View Explanation
Correct Answer:
C) 12
Explanation:
(4+16)÷2+2 = 10+2 =
12
.
Number Row
Q26. In the row, Middle = (Third−First)×2. For 9, ?, 25 find Middle.
9
?
25
A)
28
B)
30
C)
32
D)
34
Answer
View Explanation
Correct Answer:
C) 32
Explanation:
(25−9)×2 = 16×2 =
32
.
X Figure
X Figure
Q27. In the X-figure, Centre = (top-left×bottom-right) − (top-right×bottom-left). For 56,22,15,8 find centre.
56
22
15
8
?
A)
108
B)
116
C)
118
D)
120
Answer
View Explanation
Correct Answer:
C) 118
Explanation:
56×8 − 22×15 = 448−330 =
118
.
X Figure
Q28. In the X-figure, Centre = (top-left+top-right) × (bottom-left−bottom-right). For 46,10,9,6 find centre.
46
10
9
6
?
A)
160
B)
168
C)
176
D)
184
Answer
View Explanation
Correct Answer:
B) 168
Explanation:
(46+10)×(9−6)=56×3 =
168
.
X Figure
Q29. In the X-figure, Centre = (top-left−bottom-right) + (top-right−bottom-left). For 34,14,11,6 find centre.
34
14
11
6
?
A)
29
B)
31
C)
33
D)
35
Answer
View Explanation
Correct Answer:
B) 31
Explanation:
(34−6)+(14−11)=28+3 =
31
.
X Figure
Q30. In the X-figure, Centre = (top-left÷top-right) + (bottom-left×bottom-right). For 72,18,25,9 find centre.
72
18
25
9
?
A)
220
B)
225
C)
229
D)
235
Answer
View Explanation
Correct Answer:
C) 229
Explanation:
72÷18 + 25×9 = 4+225 =
229
.
Plus Figure
Plus Figure
Q31. In the plus figure, Centre = left + bottom − top × right. For top 6, left 16, right 2, bottom 6, find centre.
6
16
?
2
6
A)
8
B)
9
C)
10
D)
12
Answer
View Explanation
Correct Answer:
C) 10
Explanation:
Using multiplication first: 6×2=12. Then 16+6−12 =
10
.
Plus Figure
Q32. In the plus figure, Centre = (left+right)÷2 + top−bottom. For top 21, left 22, right 19, bottom 15, find centre.
21
22
?
19
15
A)
25.5
B)
26.5
C)
27.5
D)
28.5
Answer
View Explanation
Correct Answer:
B) 26.5
Explanation:
(22+19)÷2 + 21−15 = 20.5+6 =
26.5
.
Plus Figure
Q33. In the plus figure, Centre = left×bottom − top×right. For top 51, left 17, right 48, bottom 13, find centre.
51
17
?
48
13
A)
-2227
B)
-2100
C)
-2000
D)
-1999
Answer
View Explanation
Correct Answer:
A) -2227
Explanation:
17×13 − 51×48 = 221−2448 =
−2227
.
Number Grid
Number Grid
Q34. In highlighted Column 3, add Top and Lower, then multiply by Middle. The column is 3,6,9. Find the result.
3
6
9
Column 3
(3 + 9) × 6 = ?
A)
66
B)
69
C)
72
D)
75
Answer
View Explanation
Correct Answer:
C) 72
Explanation:
(3+9)×6 = 12×6 =
72
.
Number Grid
Q35. In highlighted Column 1, subtract Top from the product of Middle and Lower, then add 5. The column is 2,5,8. Find the result.
2
5
8
Column 1
(5 × 8) − 2 + 5 = ?
A)
39
B)
41
C)
43
D)
45
Answer
View Explanation
Correct Answer:
C) 43
Explanation:
5×8−2+5 = 40−2+5 =
43
.
Difference/Square
Difference/Square
Q36. Centre = (top+bottom) − (left×right). For top 12, bottom 8, left 10, right 7, find centre.
12
8
?
10
7
A)
-60
B)
-50
C)
-40
D)
-30
Answer
View Explanation
Correct Answer:
B) -50
Explanation:
12+8−10×7 = 20−70 =
−50
.
Difference/Square
Q37. Centre = (top×bottom) ÷ (left−right). For top 15, bottom 10, left 13, right 9, find centre.
15
10
?
13
9
A)
35
B)
36.5
C)
37.5
D)
40
Answer
View Explanation
Correct Answer:
C) 37.5
Explanation:
15×10 ÷ (13−9) = 150÷4 =
37.5
.
Missing Letter
Missing Letter
Q38. If F+P=22, find (F×P)−20.
F
P
A=1, B=2, …, Z=26
multiply, then −20
A)
70
B)
72
C)
76
D)
80
Answer
View Explanation
Correct Answer:
C) 76
Explanation:
F=6, P=16. 6×16−20 = 96−20 =
76
.
Missing Letter
Q39. If G+N=21 and J−E=5, find M×2+R.
M
R
A=1, B=2, …, Z=26
M×2 + R
A)
40
B)
42
C)
43
D)
44
Answer
View Explanation
Correct Answer:
D) 44
Explanation:
M=13 and R=18. 13×2+18 =
44
.
Missing Letter
Q40. If ?+H=25, find the missing alphabet value, then square it.
?
H
A=1, B=2, …, Z=26
find missing, then square
A)
272
B)
289
C)
306
D)
324
Answer
View Explanation
Correct Answer:
B) 289
Explanation:
?=25−8=17. 17² =
289
.
Mixed Letter-Number
Mixed Letter-Number
Q41. Which pair of letters has product 144 in alphabet positions?
F
X
A=1, B=2, …, Z=26
multiply values
A)
F and X
B)
G + W
C)
H + V
D)
I + U
Answer
View Explanation
Correct Answer:
A) F + X
Explanation:
F=6 and X=24; 6×24 =
144
.
Mixed Letter-Number
Q42. Which pair of letters has difference 10 in alphabet positions?
C
M
A=1, B=2, …, Z=26
difference of values
A)
B + L
B)
C and M
C)
D + N
D)
E + O
Answer
View Explanation
Correct Answer:
B) C + M
Explanation:
M=13 and C=3; 13−3 =
10
.
Advanced Sequence
Advanced Sequence
Q43. Find the missing number: 2, 3, 6, 7, 14, ?. Repeat the operations +1, ×2.
2
3
6
7
14
?
Identify the operation pattern
A)
A) 15
B)
B) 16
C)
C) 17
D)
D) 18
Answer
View Explanation
Correct Answer:
A) 15
Explanation:
2+1=3, ×2=6, +1=7, ×2=14, so 14+1 =
15
.
Advanced Sequence
Q44. Find the missing number: 30, 29, 27, 24, 20, ?. Subtract consecutive numbers: −1, −2, −3, −4, then −5.
30
29
27
24
20
?
Identify the operation pattern
A)
A) 13
B)
B) 14
C)
C) 15
D)
D) 16
Answer
View Explanation
Correct Answer:
C) 15
Explanation:
30−1=29, 29−2=27, 27−3=24, 24−4=20, so 20−5 =
15
.
Reverse X
Reverse X
Q45. In the X-figure, Centre = TL + BL + TR − BR. If centre=61, TL=25, TR=40 and BR=18, find BL.
25
40
?
18
61
A)
10
B)
14
C)
18
D)
20
Answer
View Explanation
Correct Answer:
B) 14
Explanation:
25+x+40−18=61, so x+47=61 and x =
14
.
Triangle
Triangle
Q46. A triangle uses Centre = (sum of corners)² ÷ 4. For 6,7,5 find centre.
6
7
5
?
A)
72
B)
76
C)
81
D)
90
Answer
View Explanation
Correct Answer:
C) 81
Explanation:
6+7+5=18; 18²÷4 = 324÷4 =
81
.
Average + 2
Average + 2
Q47. Define value(AB) = A+B+AB÷2, where A and B are alphabet positions. Find CK.
C
K
A=1, B=2, …, Z=26
A+B+(A×B)÷2
A)
18
B)
20
C)
30.5
D)
32
Answer
View Explanation
Correct Answer:
C) 30.5
Explanation:
C=3, K=11. 3+11+(3×11)÷2 = 14+16.5 =
30.5
.
Average + 2
Q48. Define value(AB) = (A×B)÷5. Find OS.
O
S
A=1, B=2, …, Z=26
A×B÷5
A)
54
B)
56
C)
57
D)
60
Answer
View Explanation
Correct Answer:
C) 57
Explanation:
O=15, S=19. 15×19÷5 =
57
.
Average + 2
Q49. Define value(AB) = A²+B. Find KM.
K
M
A=1, B=2, …, Z=26
A²+B
A)
130
B)
134
C)
136
D)
140
Answer
View Explanation
Correct Answer:
B) 134
Explanation:
K=11, M=13. 11²+13 = 121+13 =
134
.
Combined Challenge
Combined Challenge
Q50. Convert letters using A=1,…,Z=26, then calculate (N×R)−10. Find NR.
N
R
A=1, B=2, …, Z=26
N×R−10
A)
232
B)
238
C)
242
D)
250
Answer
View Explanation
Correct Answer:
C) 242
Explanation:
N=14 and R=18. 14×18−10 = 252−10 =
242
.
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