1 General Mental Abilities Test (GMAT) Detailed solutions NTSE Stage – II Exam conducted on 14.02.2021 1. (3) M E N T A L 13 5 14 20 1 12 Sum of position numbers = 13 + 5 + 14 + 20 + 1 + 12 = 65 Multiply with number of letters 65 × 6 = 390 C O M P E T E N C Y 3 15 13 16 5 20 5 14 3 25 3 + 15 + 13 + 16 + 5 + 20 + 5 + 14 + 3 + 25 = 119 119 × 10 = 1190 2. (3) 2 2 + 1 2 + 4 2 = 4 + 1 + 16 = 21 8 2 + 3 2 + 5 2 = 64 + 9 + 25 = 98 6 2 + 7 2 + 3 2 = 36 + 49 + 9 = 94 Missing number is 7 Solution for questions 3 to 4 3. (1) 8 small cubes do not have coloured faces 4. (3) There are 3 × 4 = 12 cubes with red and yellow colour faces (out of which 8 cubes have black colour face also) 5. (1) Code of “project work” is “34” From Statement I. Code of “completed project on time” is “173” Then implies that “project” code is “3” Hence work’s code is “4” Statement I alone is sufficient. Red Yellow Black
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General Mental Abilities Test (GMAT) Detailed solutions
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General Mental Abilities Test (GMAT)
Detailed solutions
NTSE Stage – II
Exam conducted on 14.02.2021
1. (3)
M E N T A L
13 5 14 20 1 12
Sum of position numbers = 13 + 5 + 14 + 20 + 1 + 12
= 65
Multiply with number of letters 65 × 6 = 390
C O M P E T E N C Y
3 15 13 16 5 20 5 14 3 25
3 + 15 + 13 + 16 + 5 + 20 + 5 + 14 + 3 + 25 = 119
119 × 10 = 1190
2. (3)
22 + 12 + 42 = 4 + 1 + 16 = 21
82 + 32 + 52 = 64 + 9 + 25 = 98
62 + 72 + 32 = 36 + 49 + 9 = 94
Missing number is 7
Solution for questions 3 to 4
3. (1)
8 small cubes do not have coloured faces
4. (3)
There are 3 × 4 = 12 cubes with red and yellow colour faces (out of which 8 cubes have black colour
face also)
5. (1)
Code of “project work” is “34”
From Statement I.
Code of “completed project on time” is “173”
Then implies that “project” code is “3”
Hence work’s code is “4”
Statement I alone is sufficient.
Red
Yellow
Black
NTSE Stage II 2020 (GMAT) solution
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6. (2)
All tortoises like to jump
So, tortoises who like to fly also like to jump
7. (4)
The angle at 3 o’clock is 90°
When the angle changes by 99°, it becomes 9° and the minute hand will be ahead of the hour hand.
Angle changes by 5.5° in 1 minute
∴ Time required to change the angle by 99° 1
99 185.5
= × = minutes.
So, at 3 : 18, the angle is 9°
8. (4)
Letters in the rhombus and numbers in square are paired as under.
2H, 1F, 3I and 5J.
Number are replaced by letters having same position number. Letters are replaced by their position
numbers.
2H → B 8 ; 1 F → A 6
3 I → C 9; 5 J → E 10
9. (2)
Numbers on the dial are replaced as under
1 = C; 2 = D; 3 = G; 4 = H; 5 = K; 6 = L
7 = M; 8 = N; 9 = Q; 10 = R; 11 = S; 12 = T
Class start at N : T means at 8 : 00 AM
Class closes at S : K means at 11 : 25 AM
Duration of class = 3 hr 25 min
Break = 7 + 9 + 11 + 13 = 40 min
Duration of 5 periods = 3 : 25 – 0 : 40
= 2 hrs 45 min.
Duration of each period = 165
335
= minutes
10. (1)
We have 5 letters in BOARD; so, either sum or difference should be 5.
B + C = 5
O – J = 5
A + D = 5
R – M = 5
D + A = 5
B O A R D
A M D J C
2 15 1 18 4
1 13 4 10 3
NTSE Stage II 2020 (GMAT) solution
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11. (2)
Dancing Acting Singing Tabla Guitar
M � � � �
P � � � �
B � �
K � �
L �
V � �
Only P is good in dancing, singing and playing guitar
12. (2)
There are 72 squares
13. (4)
25 + 10 × 4 = 19 ⇒ 25 – 10 + 4 = 19
10 ÷ 3 – 3 = 10 ⇒ 10 × 3 ÷ 3 = 10
+ means –; × means +
÷ means ×; – means ÷
16 × 5 + 40 – 10 + 2
= 16 + 5 – 40 ÷ 10 × 2
= 16 + 5 – 4 × 2
= 25 – 8 = 13
14. (2)
‘>’ occurs four times nine symbols after second ‘>’ is $
Five symbols before $ is S.
15. (1)
Sum of numbers is 45 (Horizontally / Vertically / Diagonally)