NTSE Practice Sheet - Cubes and Cuboids

NTSE Practice Questions - Classification of Numbers

Direction : Choose the number which is different from others in the group.

1.  a.579          b.885            c.696             d.398 
2.  a.3-27        b.4-64          c.7-353         d.6-216 
3.  a.124          b.235           c.789            d.510 
4.  a.5188        b.9238         c.8244          d.6311 
5.  a.9                b.3               c.19              d.15 
6.  a.7654        b.4567         c.9876          d.4321 
7.  a.1472        b.3848         c.2683          d.4210 
8.  a.83-75      b.58-50        c.49-32        d.25-17 
9.  a.325          b.207           c.711           d.23 
10.  a.1365        b.5713         c.3175         d.7531 
11.  a.212          b.343           c.757           d.511 
12.  a.95-82      b.69-45        c.55-42       d.48-34 
13.  a.14             b.36              c.28            d.21 
14.  a.5               b.11              c.7              d.9 
15.  a.67,19      b.71,11         c.41,19       d.61,15 
16.  a.3-5          b.5-3            c.6-2           d.7-3 
17.  a.49           b.85              c.12             d.81 
18.  a.49           b.97              c.98             d.77 
19.  a.6             b.18               c.7              d.3 
20.  a.48-134    b.40-110     c.18-48     d.30-80 
21.  a.22,4,5      b.34,4,8      c.37,4,9     d.54,4,13 
22.  a.9-3           b.½- 1/8     c.⅓ – ½     d.24-6 
23.  a.2731         b.1357       c.2571       d.2357 
24.  a.3642         b.4249       c.7586       d.1745 
25.  a.34           b.36            c.42            d.48 
26.  a. 8314      b. 2709       c.1315       d.2518 
27.  a. 51          b. 144         c. 64         d. 121 
28.  a. 2384      b. 1592       c. 3756     d. 3629 
29.  a. 325        b. 326         c. 178       d. 639 
30.  a. 372164  b. 376821   c. 318951 d. 319446

NTSE Practice Sheet - Number Series

1.   1 , 3, 6, 10 , 15 ,…….. 
               a) 21 b) 20 c) 18 d) 22
2.   2 , 5l 11 , 23 , 46 , ……
               a) 94 b) 95 c) 90 d) 96
3.   2 , 5, 12 , 27 , ……
               a) 54 b) 57 c) 56 d) 58
4.   2 , 5, 17 , 71 , …… 
               a) 360 b) 355 c) 357 d) 358
5.   2 , 6 , 12 , 20 , ……
               a) 25 b) 24 c) 30 d) 28
6.   0 , 2 , 6 , 12 , …… 
               a) 20 b) 22 c) 25 d) 26
7.   2 , 10 , 30 , 64 , …….
                a) 132 b) 135 c) 136 d) 130
8.   1 , 1, 2, 4, 3, 9, 4, 16, 5, ….. 
                a) 6 b) 25 c) 20 d) 7
9.   4 , 0 , 8 , 6 , 24 , 24 , 96 , 60 , …… 
                a) 120 b) 360 c) 460 d) 125
10.  45 , 54 , 57 , 75 , 79 , ……  
                a) 81 b) 83 c) 97 d) 95
11.  4, 9, 19, 34, 54, ?, 109 
                a) 89  b) 84 c)74 d)79
12.  1, 6, 13, 22, 33, ? 
               (a) 44 (b) 45 (c)46 (d)47
13.  3, 15, 35, 63, 99, ? 
               (a) 144 (b)143 (c)121 (d)169
14.  3, 6, 15, ?, 123, 366 
               (a)34 (b)59 (c)42 (d)60
15.  80, 64, 48, 32, 16, ? 
               (a) 4 (b) 0 (c) 8 (d) 1
16.  1, 9, 17, 33, 49, 73, ? 
               (a) 97 (b) 98 (c) 99 (d) 100
17.  121, 225, 361, ? 
               (a) 441 (b) 484 (c) 529 (d) 729
18.  9, 81, 90, 810, 819, ? 
               (a) 7371 (b) 900 (c) 8100 (d) 1638
19.  5, 3, 6, 2, 7, 1, ?
               (a) 0 (b) 2 (c) 4 (d) 8
20.  3, 12, 48, 192, ? 
               (a) 202 (b) 301 (c) 768 (d) 689
21.  2, 3, 5, 6, 7, 9, 10, 11, 13, ? 
               (a) 12 (b) 15 (c) 14 (d) 16
22.  4, 32, 128, ?
                (a) 128 (b) 144 (c) 192 (d) 256
23.  2, 4, 8, 3, 9, 27, 4, 16, ? 
                (a) 64 (b) 32 (c) 48 (d) 24
24.  23,29,31,37,?,43 
                (a) 39 (b) 38 (c) 42 (d) 41
25.  5, 16, 49, 104, ? 
                (a) 117 (b) 148 (c) 170 (d) 181
26.  4,8,7,7,10,6,13,5,? 
                (a) 16 (b) 6 (c) 12 (d) 9
27.  1 , 5 , 21 , ? , 341 
                (a) 65 (b) 78 (c) 58 (d) 85

NTSE Practice Questions - Direction Sense

Select the correct answer from among the four given choices.

1. Rahul was facing East. He walked 4 km forward and then after turning to his right walked 3 km. Again he turned to his right and walked 3 km. Again he turned to his right and walked 4 km. After this , he turned back. Which direction was he facing at that time? a) East b) West c) North d) South 
2. While facing East you turn to your left and walk 10 yards, then turn to your left and walk 10 yards and now you turn 45° towards your right and go straight to cover 25 yards. Now , in which direction are you from starting point ? a) North-East b) South-West c) East d) North-West 
3. A direction pole was situated on the crossing. Due to an accident the pole turned in such a manner that the pointer which was showing East , started showing South. One traveler went to the wrong direction thinking it to be West. In what direction actually he was trevelling ? a) South-West b) East c) West d) North 
4. Ashok goes 30 metres North then turns right and walks 40 metres, then again turns right and walks 40 metres.. How many metres is he away from his original position? a) 0 m b) 10 m c) 20 m d) 40 m 
5. Ajay starts walking straight towards East. After walking 75 m he turns towards left and walks 25 m straight. Again he turns to the left and walks a distance of 40 m straight. Again he turns to the left and walks a distance of 25 m. How far is he from this starting point ? a) 140 m b) 50 m c) 35 m d) 115 m 
6. Rakesh walks 30 m towards East. Then he turns to his right and walks 20 m. Then again turning to his right , he walks 30 m. How far and in which direction is he from his original position. a) 20 m , North b) 20 m , South c) 50 m , West d) 80 m , West 
7. One morning after sunrise , Sunil was standing facing a pole. The shadow of the pole fell exactly to his right , which direction was he facing ? a) East b) South c) West d) Data Inadequate 
8. One morning after sunrise , Vikram and Shailesh were standing in a town with their backs towards each other. Vikram’s shadow fell exactly towards left hand side. Which direction was Shailesh facing ? a) East b) West c) North d) South 
9. The town of Loni is located on Yellow Lake. The town of Siera is West of Loni. Ballar is East of Dogri but West of Takra and Siera. If they are all in the same district which town is the farthest West ?a) Loni b) Ballar c) Siera d) Dogri 
10. If South-East is called East. North – West is called West. South – West is called South and so on, what will North be called ? a) East b) North-East c) North-West d) South 
11. Lokesh’s school bus is facing North when it reaches his school. After starting from Lokesh’s house , it turns right twice and then left before reaching the school. What direction was the bus facing when it left the bus stop in from of Lokesh’s house ? a) North b) South c) East d) West 
12. Suman is 40 m South-West of Ashok. Prakash is 40 m South-East of Ashok. Prakash is in which direction of Suman ? a) South b) West c) East d) North-East 
13. If I stand on my head with my face pointing Southwards , in which direction will my right hand point ? a) West b) North c) East d) South-East 
14. A watch reads 4.30. If the minute hand points East , In what direction will the hour hand point ? a) North b) North-West c) South-East d) North-East 

Direction (15 – 18) :
   i. Six flats on a floor in two rows facing North and South are allotted to P , Q , R , S , T and U.
  ii. Q gets a North facing flat and is not next to S.
 iii. S and U gets diagonally opposite flats.
 v. R , next to U gets a South facing flat and T gets a North facing flat. 

  15. Which of the following combinations get South facing flats ? 
           a) QTS b) UPT c) URP d) Data inadequate 

  16. Whose flat is between Q and S ? 
          a) T b) U c) R d) P 
  17.  If the flats of T and P are interchanged , whose flat will be next to that of U ? 
          a) P b) Q c) R d) T 

  18. The flats of which of the other pairs than SU is diagonally opposite to each other ? 
          a) QP b) QR c) PT d) TS 

Direction (19 – 20) : The following questions are based on the diagram given below : 

19.   From the original position given in the above figure . A and B move one arm length  clockwise and then cross over to the corners diagonally opposite : C and D move one 
arm length anti-clockwise and cross over the corner diagonally opposite. The original 
configuration ADBC has now changed to   a) CBDA b) BDAC c) DACB d) ACBD 

20.   From the original position , B and D move one and half length of sides clockwise and anti-clockwise respectively. Which one of the following statement is true ? 

    a)  B and D are both at the mid point between A and C 

    b)  D is at the mid-point between A and C and B at the corner originally occupied by C. 

    c)  B is at the mid-point between A and C, and D at the corner originally occupied by A 

    d)  B and D are both at the midpoint between A and D.

Trigonometric Identities - III

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Trigonometric Identities - II

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Trigonometric Identities - I

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Practice Questions - Solution of Triangles

Practice Questions - Identities and Complementary Angles

Practice Questions - Trigonometric Identities

Practice Questions - Trigonometric Ratios - II