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MTG Work-Books / olympiad books CLASS 1
International Mathematics Olympiad
National Science Olympiad
International English Olympiad
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CLASS 2
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
International English Olympiad
MTG CSS Series
CLASS 3
International Mathematics Olympiad
National Science Olympiad
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MTG Work-Books / olympiad books CLASS 4
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
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MTG CSS Series
International English Olympiad
MTG CSS Series
CLASS 5
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
CLASS 6
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
MTG Work-Books / olympiad books CLASS 7
National Science Olympiad
International Mathematics Olympiad
National Cyber Olympiad
Science IQ Challenge
Math IQ Challenge
International English Olympiad
MTG CSS Series
Master Mental Ability in 30 Days
CLASS 8
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
Math IQ Challenge
Science IQ Challenge
Psychology of Success
The Secrets of SUCCESS
Master Mental Ability in 30 Days
MTG Work-Books / olympiad books CLASS 9
International Mathematics Olympiad
National Science Olympiad
Math IQ Challenge
Science IQ Challenge
National Cyber Olympiad
Psychology of Success
International English Olympiad
NTSE Explorer
Master Mental Ability in 30 Days
Mat for NTSE
International English Olympiad
NTSE Explorer
Master Mental Ability in 30 Days
Mat for NTSE
CLASS 10
International Mathematics Olympiad
National Science Olympiad
Math IQ Challenge
Science IQ Challenge
National Cyber Olympiad
Psychology of Success
Class
1 to 10
JEE Main & Advanced | AIPMT | BOARDS | OLYMPIAD | NTSE
FOUNDATION COURSE For Classes 8, 9 & 10 Class 8
Class 9
Class 10
13th
LEVEL - 2 Year 2010-11
MENTAL ABILITY 1.
The greatest among the following is ______. I.
3
1.728
(A) I 2.
4.
-2
(D) III
(C) (x + y + z) 3 = 27xyz (D) x 3 + y 3 + z 3 = 27xyz
(B) x + y + z = 27xyz
(C) 100°
(D) 110°
The difference between a positive proper fraction and its reciprocal is 3 5
(B)
3 10
(C)
4 5
92°
D
9 . The fraction is ______. 20 5 (D) 4
The simplification of 3.36 - 2.05 + 1.33 equals ______ . (B) 2.64
(C) 2.61
(D) 2.64
If x is the length of a median of an equilateral triangle, then its area is ____. (B)
1 2 x 2
(C)
3 2 x 2
3 2 x 3
(D)
C
In the given figure, the value of a, b and c are ____.
43° D a c
B
(B) a = 62°, b = 13°, c = 105° (C) a = 105°, b = 13°, c = 62°
62°
(D) a = 62°, b = 105°, c = 13°
A
b E
F
100 jugs full of water are emptied in a conical flask. The height of the water level is 75 cm, the diameter of the water level, when each jug contains 3850 cm 3 of water is _____. (A) 70 cm
9.
F 20° E
A B
C
(A) a = 105°, b = 62°, c = 13°
8.
17 8
IV.
(C) II
(B) 105°
(A) x 2 7.
(B) IV
æ 1 ö çè ÷ø 2
(A) 108°
(A) 2.60 6.
III.
In the given figure, ABCD is a cyclic quadrilateral in which AE is drawn parallel to CD, and BA is produced. If Ð ABC = 92° and Ð FAE = 20°, find Ð BCD.
(A) 5.
3 - 1 3 + 1
If x 1/3 + y 1/3 + z 1/3 = 0 then (A) x 3 + y 3 + z 3 = 0
3.
II.
(B) 35 cm
(C) 140 cm
(D) 210 cm
Nine persons went to a hotel for taking their meals. Eight of them spent ` 12 each on their meals and the ninth spent ` 8 more than the average expenditure of all the nine. What was the total money spent by them? (A) ` 117
(B) ` 118
(C) ` 119
(D) ` 120
10. If x 2 + px + q = (x + a)(x + b), then one of the factor of x 2 + pxy + qy 2 is (A) (x + ay)
(B) (x – ay)
(C) (ax + y)
(D) (ax – y)
11. Choose the odd numeral pair/group in the given question : (A) 81 – 64 13 th NSO | LevelII | Class 9
(B) 100 – 49
(C) 100 – 81 2
(D) 100 – 121
12. What comes next in the given pattern ? 6, 24, 60, 120, 210, ___ ?__ (A) 336
(B) 307
(C) 301
(D) 299
13. If 5 * 4 = 3; 13 * 12 = 5. What is the value of 10 * 8 = ? (A) 2
(B) 5
(C) 6
(D) 21
14. 10 friends meet at new year party. Everyone of 10 friends shook hands with each other only once and say hello to each other. Then how many times "Hello" is spoken by them ? (A) 400
(B) 380
(C) 40
(D) 90
15. Nihal remembers that his father's birthday is after 25 th but before 28 th March whereas his sister Niharika remembers that her father's birthday is after 26 th but before 29 th March. On which day is Nihal's father's birthday ? (A) 26 th
(B) 27 th
(C) 28 th
(D) 29 th
SCIENCE
L
P
Q
Speed
16. Figure shows the speed time graph of a train. Study it carefully and choose the correct statement. (A) As PQ is parallel to time axis, it shows that the train is at rest in this portion. (B) The train has same speed at points O and R. (C) Slope of graph OP gives distance travelled by the train (D) The graph depicts a uniform motion.
O
M Time
N
R
17. In which of the following cases will the work done be maximum by force F ? The body is moved through a distance S on the ground. F (A) (i) F F (B) (ii) 60° (C) (iii) 45° 30° F (D) (iv) (i) (ii) (iii) (iv) 18. A ball of mass 100 g moving with velocity 10 m s –1 is stopped by a boy in 0.2 s. The force applied by the boy to stop the ball is (A) 3 N
(B) 2 N
(C) 5 N
(D) 7 N.
19. A ball is dropped in two different liquids one by one, in which it rests as shown below. From this we can conclude that (A) Density of liquid (i) is greater than that of ball. (B) Density of liquid (ii) is equal to that of ball. (C) Density of liquid (ii) is greater than that of liquid (i). (D) None of these.
(i)
(ii)
20. Read the given statements and mark the correct option. Statement 1 : Any two bodies in the universe attract each other. Statement 2 : Mass of a body keeps changing with place, in the universe. (A) Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1. (B) Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1. (C) Statement 1 is true but Statement 2 is false.
(D) Statement 1 is false but statement 2 is true.
3
13 th NSO | LevelII | Class 9
21. Match the Column I and Column II and mark the correct option from the codes given below. Column I Column II (a) Inertia (i) Product of force and time. (b) Product of mass and velocity (ii) Uniform velocity (c) Zero acceleration (iii) Mass of a body (a) (b) (c) (A) (i)
(iii)
(ii)
(B) (ii)
(iii)
(i)
(C) (iii)
(i)
(ii)
(D) (i)
(ii)
(iii)
22. When a body falls from an aeroplane there is increase in its (A) Acceleration
(B) Potential energy
(C) Kinetic energy
(D) Rest mass.
O
(D) Time
Time
Time
Velocity
(C)
Velocity
(B)
Distance
(A)
Distance
23. Which of the following graphs shows an accelerated motion?
Time
DIRECTION : Read the passage carefully and answer question numbers 24 and 25. A person A does 500 J of work in 10 min and another person B does 600 J of work in 20 min. Let the power delivered by A and B be P 1 and P 2 respectively. 24. P 1 and P 2 are related as (A) P 1 = P 2
(B) P 1 > P 2
(C) P 1
