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 Page 1


 
  
NTSE STAGE – I  
02 – A/2017 – 18 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. 
1 11111 1 1
1 2 2 3 34 45 56 6 7 78 8 9
?? ? ? ???
??? ?? ???
 
 
1 21 13 2 1 43 198
...
21 21 3 2 3 2 43 43 98 98
? ? ? ???? ???
? ? ? ?
? ?? ? ? ???
? ? ? ???? ???
? ???? ???
? ? ?? ? ? ??
? ?
? ???? ??? ? ?
? 
? ? ? ? ? ? ? ?
21 32 43 ... 9 8
? ?
? ?? ? ?? ??
? ?
 
? 
? ?
1 9 1 3 2 ?? ??? ? 
 
2. No option correct. 
 
3. 3 
3. 
? ? n n 3
35
2
?
? 
 
2
n 3n 70 0 ? ? ? 
 n = 10 
 
? ?
0
n 2 180
8 180
144
n 10
? ?
?
? ? 
 
4. 4 
4. 15 2 900 90 100 ? ? ? ? ? ? 
 ? 15 2 900 90 100 15 2 10 100 ? ? ? ? ? ? ? ? 
 ? 30 10 100 40 100 60 ? ?? ??? 
 
5. 4 
5. ? ?
2
k 1 x 5x 2k 0 ? ? ? ? 
 Product of roots = 
1 2k
.
k 1
? ?
? ?
 
 ? k + 1 = 2k ? k = 1 
 
6. 2 
6. 
 
2a 
 
 Let each side of cube = 2a 
 ? diameter of sphere = 2a 
Page 2


 
  
NTSE STAGE – I  
02 – A/2017 – 18 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. 
1 11111 1 1
1 2 2 3 34 45 56 6 7 78 8 9
?? ? ? ???
??? ?? ???
 
 
1 21 13 2 1 43 198
...
21 21 3 2 3 2 43 43 98 98
? ? ? ???? ???
? ? ? ?
? ?? ? ? ???
? ? ? ???? ???
? ???? ???
? ? ?? ? ? ??
? ?
? ???? ??? ? ?
? 
? ? ? ? ? ? ? ?
21 32 43 ... 9 8
? ?
? ?? ? ?? ??
? ?
 
? 
? ?
1 9 1 3 2 ?? ??? ? 
 
2. No option correct. 
 
3. 3 
3. 
? ? n n 3
35
2
?
? 
 
2
n 3n 70 0 ? ? ? 
 n = 10 
 
? ?
0
n 2 180
8 180
144
n 10
? ?
?
? ? 
 
4. 4 
4. 15 2 900 90 100 ? ? ? ? ? ? 
 ? 15 2 900 90 100 15 2 10 100 ? ? ? ? ? ? ? ? 
 ? 30 10 100 40 100 60 ? ?? ??? 
 
5. 4 
5. ? ?
2
k 1 x 5x 2k 0 ? ? ? ? 
 Product of roots = 
1 2k
.
k 1
? ?
? ?
 
 ? k + 1 = 2k ? k = 1 
 
6. 2 
6. 
 
2a 
 
 Let each side of cube = 2a 
 ? diameter of sphere = 2a 
 
  
 ? 
? ?
? ?
3
3
3
3
2a Vol. of cube 8a
4 4
Vol of sphere
a a
3 3
? ?
? ?
= 
6
?
 
 
7. 2 
7. 
2
2x 5x 16 0 ? ? ? 
 
1 1
2 2
3 3
??? ? ? ?
?
??? ?
? ?
??? ?
 
 = 
? ? ? ?
2/3 1/3 2/3 1/3
1/3 1/3
. . 5 / 2 5
2 4
? ? ? ? ? ? ? ?
? ? ?
?? ??
 
 
8. 1 
8. Divided = Divisor x Quotient + Rem 
 Quotien = 10 
 ? divisor = 100 
 & remainder = 10 
 ? divided = 100 x 10 + 10 = 1010 
 
9. 2 
9. ? ? ? ? ? ? ? ? ? ?
2
333 2
0.111 0.222 0.333 0.333 0.222
? ?
? ? ?
? ?
 
 Taking common (0.111) 
 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
3 3 3 33 22
0.111 0.111 2 0.111 3 0.111 3 0.111 2 ? ? ? 
 = ? ? ? ?
3
0.111 1 8 27 18 ? ? ? 
 = 0 
 
10. 2 
10. 
2n 2n
9 4 ? is of form 
n n
a b ? (where n is even) 
 Therefore 
n n
a b ? is always divisible by ? ? ? ? ab & ab ? ? 
 So it is divisible by (9 + 4) and (9 – 4) i.e., 5 and 13 
 
11. 1 
11. LCM + HCF = 50 
 LCM – HCF = 20 
 ? LCM = 35 & HCF = 15 
 ? product of number = LCM x HCF 
 = 35 x 15 
 = 525 
 
12. 1 
12. Speed of train = 
length of train length of platform
time taken by train
?
 
 ? 
5 320 x
120
18 24
?
? ? (Let length of platform be x m) 
 ? x = 480 m 
 ? Speed of man = 
length of platform
time taken by man
 
 = 
480
2m / sec
4 60
?
?
 
Page 3


 
  
NTSE STAGE – I  
02 – A/2017 – 18 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. 
1 11111 1 1
1 2 2 3 34 45 56 6 7 78 8 9
?? ? ? ???
??? ?? ???
 
 
1 21 13 2 1 43 198
...
21 21 3 2 3 2 43 43 98 98
? ? ? ???? ???
? ? ? ?
? ?? ? ? ???
? ? ? ???? ???
? ???? ???
? ? ?? ? ? ??
? ?
? ???? ??? ? ?
? 
? ? ? ? ? ? ? ?
21 32 43 ... 9 8
? ?
? ?? ? ?? ??
? ?
 
? 
? ?
1 9 1 3 2 ?? ??? ? 
 
2. No option correct. 
 
3. 3 
3. 
? ? n n 3
35
2
?
? 
 
2
n 3n 70 0 ? ? ? 
 n = 10 
 
? ?
0
n 2 180
8 180
144
n 10
? ?
?
? ? 
 
4. 4 
4. 15 2 900 90 100 ? ? ? ? ? ? 
 ? 15 2 900 90 100 15 2 10 100 ? ? ? ? ? ? ? ? 
 ? 30 10 100 40 100 60 ? ?? ??? 
 
5. 4 
5. ? ?
2
k 1 x 5x 2k 0 ? ? ? ? 
 Product of roots = 
1 2k
.
k 1
? ?
? ?
 
 ? k + 1 = 2k ? k = 1 
 
6. 2 
6. 
 
2a 
 
 Let each side of cube = 2a 
 ? diameter of sphere = 2a 
 
  
 ? 
? ?
? ?
3
3
3
3
2a Vol. of cube 8a
4 4
Vol of sphere
a a
3 3
? ?
? ?
= 
6
?
 
 
7. 2 
7. 
2
2x 5x 16 0 ? ? ? 
 
1 1
2 2
3 3
??? ? ? ?
?
??? ?
? ?
??? ?
 
 = 
? ? ? ?
2/3 1/3 2/3 1/3
1/3 1/3
. . 5 / 2 5
2 4
? ? ? ? ? ? ? ?
? ? ?
?? ??
 
 
8. 1 
8. Divided = Divisor x Quotient + Rem 
 Quotien = 10 
 ? divisor = 100 
 & remainder = 10 
 ? divided = 100 x 10 + 10 = 1010 
 
9. 2 
9. ? ? ? ? ? ? ? ? ? ?
2
333 2
0.111 0.222 0.333 0.333 0.222
? ?
? ? ?
? ?
 
 Taking common (0.111) 
 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
3 3 3 33 22
0.111 0.111 2 0.111 3 0.111 3 0.111 2 ? ? ? 
 = ? ? ? ?
3
0.111 1 8 27 18 ? ? ? 
 = 0 
 
10. 2 
10. 
2n 2n
9 4 ? is of form 
n n
a b ? (where n is even) 
 Therefore 
n n
a b ? is always divisible by ? ? ? ? ab & ab ? ? 
 So it is divisible by (9 + 4) and (9 – 4) i.e., 5 and 13 
 
11. 1 
11. LCM + HCF = 50 
 LCM – HCF = 20 
 ? LCM = 35 & HCF = 15 
 ? product of number = LCM x HCF 
 = 35 x 15 
 = 525 
 
12. 1 
12. Speed of train = 
length of train length of platform
time taken by train
?
 
 ? 
5 320 x
120
18 24
?
? ? (Let length of platform be x m) 
 ? x = 480 m 
 ? Speed of man = 
length of platform
time taken by man
 
 = 
480
2m / sec
4 60
?
?
 
 
  
 
 
13. 4 
13. 
n 1 n 1
n n
a b
a b
? ?
?
?
= 
a b
2
?
 when (n = 0) 
 ? value of n = 0 
 
 
14. 3 
14. Let total workers = x 
 ? women = 
1
x
3
   
? men =
2
x
3
 
 Women with children = 
111 x
x
3 2 3 18
? ? ? 
 Men with children = 
3 2 2x x
4 3 3 3
? ? ? 
 Worker with children = 
x x 7x
18 3 18
? ? 
 Worker without children = 
7x 11
x
18 18
? ? of x 
 
15. 4 
15. Let Akash earns x rs. As profit 
 Then Alok earns = 
75x 175x 7x
x
100 100 4
? ? ? 
 ? Akash’s profit is less than Alok by 
 = 
7x
x
4
100
7x
4
?
? 
 = 
3x
4
100
7x
4
? 
 = 
3
100 42.85%
7
? ? 
 
16. 3 
16. Let height of towers, be 5x, 6x, 7x meter respectively  
 ? Speed of spider = 
5x
m / min
15
  
? Time taken to climb the highest one = 
7x
5x
15
 
= 
7x 15
5x
?
 
= 21 min 
 
Page 4


 
  
NTSE STAGE – I  
02 – A/2017 – 18 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. 
1 11111 1 1
1 2 2 3 34 45 56 6 7 78 8 9
?? ? ? ???
??? ?? ???
 
 
1 21 13 2 1 43 198
...
21 21 3 2 3 2 43 43 98 98
? ? ? ???? ???
? ? ? ?
? ?? ? ? ???
? ? ? ???? ???
? ???? ???
? ? ?? ? ? ??
? ?
? ???? ??? ? ?
? 
? ? ? ? ? ? ? ?
21 32 43 ... 9 8
? ?
? ?? ? ?? ??
? ?
 
? 
? ?
1 9 1 3 2 ?? ??? ? 
 
2. No option correct. 
 
3. 3 
3. 
? ? n n 3
35
2
?
? 
 
2
n 3n 70 0 ? ? ? 
 n = 10 
 
? ?
0
n 2 180
8 180
144
n 10
? ?
?
? ? 
 
4. 4 
4. 15 2 900 90 100 ? ? ? ? ? ? 
 ? 15 2 900 90 100 15 2 10 100 ? ? ? ? ? ? ? ? 
 ? 30 10 100 40 100 60 ? ?? ??? 
 
5. 4 
5. ? ?
2
k 1 x 5x 2k 0 ? ? ? ? 
 Product of roots = 
1 2k
.
k 1
? ?
? ?
 
 ? k + 1 = 2k ? k = 1 
 
6. 2 
6. 
 
2a 
 
 Let each side of cube = 2a 
 ? diameter of sphere = 2a 
 
  
 ? 
? ?
? ?
3
3
3
3
2a Vol. of cube 8a
4 4
Vol of sphere
a a
3 3
? ?
? ?
= 
6
?
 
 
7. 2 
7. 
2
2x 5x 16 0 ? ? ? 
 
1 1
2 2
3 3
??? ? ? ?
?
??? ?
? ?
??? ?
 
 = 
? ? ? ?
2/3 1/3 2/3 1/3
1/3 1/3
. . 5 / 2 5
2 4
? ? ? ? ? ? ? ?
? ? ?
?? ??
 
 
8. 1 
8. Divided = Divisor x Quotient + Rem 
 Quotien = 10 
 ? divisor = 100 
 & remainder = 10 
 ? divided = 100 x 10 + 10 = 1010 
 
9. 2 
9. ? ? ? ? ? ? ? ? ? ?
2
333 2
0.111 0.222 0.333 0.333 0.222
? ?
? ? ?
? ?
 
 Taking common (0.111) 
 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
3 3 3 33 22
0.111 0.111 2 0.111 3 0.111 3 0.111 2 ? ? ? 
 = ? ? ? ?
3
0.111 1 8 27 18 ? ? ? 
 = 0 
 
10. 2 
10. 
2n 2n
9 4 ? is of form 
n n
a b ? (where n is even) 
 Therefore 
n n
a b ? is always divisible by ? ? ? ? ab & ab ? ? 
 So it is divisible by (9 + 4) and (9 – 4) i.e., 5 and 13 
 
11. 1 
11. LCM + HCF = 50 
 LCM – HCF = 20 
 ? LCM = 35 & HCF = 15 
 ? product of number = LCM x HCF 
 = 35 x 15 
 = 525 
 
12. 1 
12. Speed of train = 
length of train length of platform
time taken by train
?
 
 ? 
5 320 x
120
18 24
?
? ? (Let length of platform be x m) 
 ? x = 480 m 
 ? Speed of man = 
length of platform
time taken by man
 
 = 
480
2m / sec
4 60
?
?
 
 
  
 
 
13. 4 
13. 
n 1 n 1
n n
a b
a b
? ?
?
?
= 
a b
2
?
 when (n = 0) 
 ? value of n = 0 
 
 
14. 3 
14. Let total workers = x 
 ? women = 
1
x
3
   
? men =
2
x
3
 
 Women with children = 
111 x
x
3 2 3 18
? ? ? 
 Men with children = 
3 2 2x x
4 3 3 3
? ? ? 
 Worker with children = 
x x 7x
18 3 18
? ? 
 Worker without children = 
7x 11
x
18 18
? ? of x 
 
15. 4 
15. Let Akash earns x rs. As profit 
 Then Alok earns = 
75x 175x 7x
x
100 100 4
? ? ? 
 ? Akash’s profit is less than Alok by 
 = 
7x
x
4
100
7x
4
?
? 
 = 
3x
4
100
7x
4
? 
 = 
3
100 42.85%
7
? ? 
 
16. 3 
16. Let height of towers, be 5x, 6x, 7x meter respectively  
 ? Speed of spider = 
5x
m / min
15
  
? Time taken to climb the highest one = 
7x
5x
15
 
= 
7x 15
5x
?
 
= 21 min 
 
 
  
17. 1 
17. Centroid = 
12 3 12 3
x x x y y y
,
3 3
? ? ? ? ? ?
? ?
? ?
 
 (0, 1) = 
3 3
4 2x 2 6y
,
3 3
?? ? ?? ? ?
? ?
? ?
 
 ? ? ? ? ?
3 3
x , y 6, 11 ? ? 
 
18. 1 
18. 
2
cos sin .tan ? ? ? ? 
 
3 2
cos sin ? ? ? 
 
2
2
2
cos 1 1
cot
sin cos cos
?
? ? ? ?
? ? ?
 
 
? ?
6 2 2 4
cot cot cot cot 1 ? ? ? ? ? ? ? 
 = 
2
1 1
1
cos cos
? ?
?
? ?
? ?
? ?
 
 = 
2 2
2 3
1 sin sin
1
cos cos cos
? ? ? ?
? ?
? ?
? ? ?
? ?
 
 
19. 3 
19. 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28 
 
20. 2 
20. We can choose vertices out of 6 in 
6
3
C 20 ? ways 
 Chosen vertices can form equilateral triangle in just 2 ways  
 Required probability = 
2 1
20 10
? 
 
21. 2 
21. A = 630 males teacher in F = 100 
 B = 720 female teacher in C = 28% of 4500 – (600) 
 C = 1260 = 660 
D = 675  
 E = 945 female in B = 16% of 1500 – 400 
 F = 270 = 320 
 ? 100 + 660 + 320 = 1080 
 
22. 4 
22. 
x
630 575 x 90%
100
? ? ? ? 
 
23. 3 
23. In B we have 630 total teachers 
 Male = 400 
 Female = 230 
 In E we have 945 total teachers 
 Male = 500 
 Female = 445 
 
24. 2 
24. Total number of teachers in E = 945 
Page 5


 
  
NTSE STAGE – I  
02 – A/2017 – 18 (For Class – X) 
MENTAL ABILITY TEST (MAT) 
HINTS & SOLUTIONS 
 
1. 2 
1. 
1 11111 1 1
1 2 2 3 34 45 56 6 7 78 8 9
?? ? ? ???
??? ?? ???
 
 
1 21 13 2 1 43 198
...
21 21 3 2 3 2 43 43 98 98
? ? ? ???? ???
? ? ? ?
? ?? ? ? ???
? ? ? ???? ???
? ???? ???
? ? ?? ? ? ??
? ?
? ???? ??? ? ?
? 
? ? ? ? ? ? ? ?
21 32 43 ... 9 8
? ?
? ?? ? ?? ??
? ?
 
? 
? ?
1 9 1 3 2 ?? ??? ? 
 
2. No option correct. 
 
3. 3 
3. 
? ? n n 3
35
2
?
? 
 
2
n 3n 70 0 ? ? ? 
 n = 10 
 
? ?
0
n 2 180
8 180
144
n 10
? ?
?
? ? 
 
4. 4 
4. 15 2 900 90 100 ? ? ? ? ? ? 
 ? 15 2 900 90 100 15 2 10 100 ? ? ? ? ? ? ? ? 
 ? 30 10 100 40 100 60 ? ?? ??? 
 
5. 4 
5. ? ?
2
k 1 x 5x 2k 0 ? ? ? ? 
 Product of roots = 
1 2k
.
k 1
? ?
? ?
 
 ? k + 1 = 2k ? k = 1 
 
6. 2 
6. 
 
2a 
 
 Let each side of cube = 2a 
 ? diameter of sphere = 2a 
 
  
 ? 
? ?
? ?
3
3
3
3
2a Vol. of cube 8a
4 4
Vol of sphere
a a
3 3
? ?
? ?
= 
6
?
 
 
7. 2 
7. 
2
2x 5x 16 0 ? ? ? 
 
1 1
2 2
3 3
??? ? ? ?
?
??? ?
? ?
??? ?
 
 = 
? ? ? ?
2/3 1/3 2/3 1/3
1/3 1/3
. . 5 / 2 5
2 4
? ? ? ? ? ? ? ?
? ? ?
?? ??
 
 
8. 1 
8. Divided = Divisor x Quotient + Rem 
 Quotien = 10 
 ? divisor = 100 
 & remainder = 10 
 ? divided = 100 x 10 + 10 = 1010 
 
9. 2 
9. ? ? ? ? ? ? ? ? ? ?
2
333 2
0.111 0.222 0.333 0.333 0.222
? ?
? ? ?
? ?
 
 Taking common (0.111) 
 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
3 3 3 33 22
0.111 0.111 2 0.111 3 0.111 3 0.111 2 ? ? ? 
 = ? ? ? ?
3
0.111 1 8 27 18 ? ? ? 
 = 0 
 
10. 2 
10. 
2n 2n
9 4 ? is of form 
n n
a b ? (where n is even) 
 Therefore 
n n
a b ? is always divisible by ? ? ? ? ab & ab ? ? 
 So it is divisible by (9 + 4) and (9 – 4) i.e., 5 and 13 
 
11. 1 
11. LCM + HCF = 50 
 LCM – HCF = 20 
 ? LCM = 35 & HCF = 15 
 ? product of number = LCM x HCF 
 = 35 x 15 
 = 525 
 
12. 1 
12. Speed of train = 
length of train length of platform
time taken by train
?
 
 ? 
5 320 x
120
18 24
?
? ? (Let length of platform be x m) 
 ? x = 480 m 
 ? Speed of man = 
length of platform
time taken by man
 
 = 
480
2m / sec
4 60
?
?
 
 
  
 
 
13. 4 
13. 
n 1 n 1
n n
a b
a b
? ?
?
?
= 
a b
2
?
 when (n = 0) 
 ? value of n = 0 
 
 
14. 3 
14. Let total workers = x 
 ? women = 
1
x
3
   
? men =
2
x
3
 
 Women with children = 
111 x
x
3 2 3 18
? ? ? 
 Men with children = 
3 2 2x x
4 3 3 3
? ? ? 
 Worker with children = 
x x 7x
18 3 18
? ? 
 Worker without children = 
7x 11
x
18 18
? ? of x 
 
15. 4 
15. Let Akash earns x rs. As profit 
 Then Alok earns = 
75x 175x 7x
x
100 100 4
? ? ? 
 ? Akash’s profit is less than Alok by 
 = 
7x
x
4
100
7x
4
?
? 
 = 
3x
4
100
7x
4
? 
 = 
3
100 42.85%
7
? ? 
 
16. 3 
16. Let height of towers, be 5x, 6x, 7x meter respectively  
 ? Speed of spider = 
5x
m / min
15
  
? Time taken to climb the highest one = 
7x
5x
15
 
= 
7x 15
5x
?
 
= 21 min 
 
 
  
17. 1 
17. Centroid = 
12 3 12 3
x x x y y y
,
3 3
? ? ? ? ? ?
? ?
? ?
 
 (0, 1) = 
3 3
4 2x 2 6y
,
3 3
?? ? ?? ? ?
? ?
? ?
 
 ? ? ? ? ?
3 3
x , y 6, 11 ? ? 
 
18. 1 
18. 
2
cos sin .tan ? ? ? ? 
 
3 2
cos sin ? ? ? 
 
2
2
2
cos 1 1
cot
sin cos cos
?
? ? ? ?
? ? ?
 
 
? ?
6 2 2 4
cot cot cot cot 1 ? ? ? ? ? ? ? 
 = 
2
1 1
1
cos cos
? ?
?
? ?
? ?
? ?
 
 = 
2 2
2 3
1 sin sin
1
cos cos cos
? ? ? ?
? ?
? ?
? ? ?
? ?
 
 
19. 3 
19. 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28 
 
20. 2 
20. We can choose vertices out of 6 in 
6
3
C 20 ? ways 
 Chosen vertices can form equilateral triangle in just 2 ways  
 Required probability = 
2 1
20 10
? 
 
21. 2 
21. A = 630 males teacher in F = 100 
 B = 720 female teacher in C = 28% of 4500 – (600) 
 C = 1260 = 660 
D = 675  
 E = 945 female in B = 16% of 1500 – 400 
 F = 270 = 320 
 ? 100 + 660 + 320 = 1080 
 
22. 4 
22. 
x
630 575 x 90%
100
? ? ? ? 
 
23. 3 
23. In B we have 630 total teachers 
 Male = 400 
 Female = 230 
 In E we have 945 total teachers 
 Male = 500 
 Female = 445 
 
24. 2 
24. Total number of teachers in E = 945 
 
  
 Female teachers in F = 170 
 Difference = 945 – 170 = 775 
 
25. 3 
25. Male in C ? 600 
 Female in B ? 320 
 
M F
C : B 600 : 320 15 : 8 ? ? 
 
26. 1 
26. 25 x 10 + 5 = 255, 255 x10 – 5 = 2545, 2545 x 10 + 5, 25455 x 10 – 5 = 254545 
  
27. 4 
27. 4 x 3 = 12 ? Alphabet position of L 
 1 x 17 = 17 ? Alphabet position of Q 
 5 x 4 = 20 ? Alphabet position of T 
 
28. 4 
28. After removing even numbers 
 1 5 9 7 1 5 3 5 9 7 5 9 1 3 5 1 3 
 Answer ? 9 
 
29. 4 
29. Total hours = 89 hours 
 Faulty time 23 hours & 44 min = 
44 356
23 i.e, hr
60 15
?    
 
356
15
 hr of incorrect watch = 24 hr of correct watch 
 ? 89 hours of incorrect watch = 
24 15
89 90 hrs
356
?
? ? 
 ? Actually watch will be 1 hr faster than faulty watch. 
 i.e., 11 pm 
 
30. 2 
30. 1 + 2 + 3 …. 5 6 
 Sum = 
? ? n n 1
56 57
28 57 1596
2 2
?
?
? ? ? ? 
 
31. 2 
31. Total white box = 
64
32
2
? 
 Now odd in white box = 
32
16
2
? 
 
32. 4 
32. 
 
H
– 
F
+ 
I
+ 
J
– 
 G
+ 
 
 + means male member  
 – means female members

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Dec 22, 2024 Last updated

Document Description: Delhi: State Level Solutions (SAT & Mat) - 2017-18 for Class 10 2024 is part of NTSE for Class 10 preparation. The notes and questions for Delhi: State Level Solutions (SAT & Mat) - 2017-18 have been prepared according to the Class 10 exam syllabus. Information about Delhi: State Level Solutions (SAT & Mat) - 2017-18 covers topics like and Delhi: State Level Solutions (SAT & Mat) - 2017-18 Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Delhi: State Level Solutions (SAT & Mat) - 2017-18.

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Full syllabus notes, lecture & questions for Delhi: State Level Solutions (SAT & Mat) - 2017-18 | NTSE for Class 10 - Class 10 | Plus excerises question with solution to help you revise complete syllabus for NTSE for Class 10 | Best notes, free PDF download

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