Physics (Target-NTSE/NSTSE/NSEJS) (25 QUESTIONS) (40 min)

Q1 - The distance travelled by an object is given by x = at+b t2

c+a where t is time and a, b, c, are constants. The

dimensions of b and c respectively are : (NSEP 2007)

(A) [L2T–3], [L T–1] (B) [L T–2], [L T–1] (C) [LT–1], [L2 T–1] (D) [L T –1], [L T–2]

Q2 - The centre of mass of a body : (Career Point DPP)

(a) lies always outside the body (b) may lie within, outside or on the surface of the body(c) lies always inside the body (d) lies always on the surface of the body

Q3 – The velocity v of a particle at time t is given by v = at + bt+c , where a, b and c are constants. The

dimensions of a, b and c are respectively:- (AIPMT – 2006)

(1) LT–2, L and T (2) L2, T and LT2

(3) LT2, LT and L (4) L, LT and T2

Q4 - A body is moving with constant acceleration from A to B in a straight line. C is the mid-point of AB. If u and v are the speeds at A and B respectively. The speed at C is : (Resonance NSO DPP)

(a) (u+v)/2 (b) (v-u)/2

(c) √ u2+v2

2 (d) √ v

2−u2

2

Q5- An arrow shot vertically upwards loses its initial speed by 60% in 3 seconds. The maximum height reached by the arrow is (g = 9.8 ms). (Resonance NSO DPP) (NSEJS 2011)

(a) 122.5 m (b) 44.1m (c) 100m (d) 45m

Q6 - If a stone is released from a balloon moving upwards with certain velocity v0 at certain height above earth’s surface then velocity time curve of stone’s motion can be best represented by : (Resonance NSO DPP)

Q7 - A ball is thrown vertically up. (Bansal Classes entrance test)

(A) As the ball rises, work done by gravity is negative and as it descends, work done by gravity is positive

(B) As the ball rises, work done by gravity is positive and as it descends, work done by gravity is positive

(C) As the ball rises, work done by gravity is negative and as it descends, work done by gravity is negative

(D) As the ball rises, work done by gravity is positive and as it descends, work done by gravity is negative

Q8 - A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s. Then the maximum height attained by it : - (g = 10 m/s2) (AIPMT – 2009)

(1) 8 m (2) 20 m (3) 10 m (4) 16 m

Q9 - A particle is projected at 60º to the horizontal with a kinetic energy K. The kinetic energy at the highest point is : (AIEEE – 2007)

(1) K (2) zero (3) K/4 (4) K/2

Q10 – Which of the following graph correctly represents velocity-time relationship for a particle released from rest to fall freely under gravity ? (FIITJEE Classroom Practice Problem (CPP))

11. The speed-time relation of a car whose weight is 1500 kg as shown in the given graph. How much braking force has been applied at the end of 7 sec. to stop the car in 2 sec? (Delhi SAT 2012)

(A) 9000 N (B) 8400 N (C) 4800 N (D) 2000 N

13. A 2150-kg truck is traveling along a straight, level road at a constant speed of 55.0 km/h when the driver removes his foot from the accelerator. After 21.0 s, the truck’s speed is 33.0 km/h. What is the magnitude of the average net force acting on the truck during the 21.0 s interval? (Apex NTSE institute)

(a) 2250 N  (b) 1890 N  (c) 229 N (d) 626 N  (e) 972 

14. For a body in a uniformly accelerated motion, the distance of the body from a reference point at time t is given by x = at +bt2+c where a, b and c are constants of motion. The dimensions of c are the same as those of : (APEX NTSE Institute).

(a) at   (b) 2bt  (c) x  (d) a/t

15. If velocity (V), force (F) and energy (F) are taken as fundamental units, then dimensional formula for mass will be : (APEX NTSE Institute)

(A) V-2F0E (B) V0FE2 (C) VF-2E0 (D) V-2F0E

16. A body moves a distance of 10m along a straight line under the action of a force of 5 N. If the work done is 25 joules, the angle which the force makes with the direction of motion of the body is (in degrees) [NCERT 1980; JIMPER 1997; CBSE PMT 1999; BHU 2000; RPMT 2000; Orissa JEE 2002]

(A) 0 (B)30 (C) 60 (D) 90

19. A stone is dropped from the top of a building The fraction distancetravelled∈first 6 secdistancetravelled∈first 3 sec is approximately (INJSO)

(a) ¼ (b)1/2 (c) 4/1 (d)2/1

21. Three observers A, B and C measure the speed of light in vacuum from a source to be VA, VB and VC respectively. The observer A moves towards the source and observer C moves away from the source at the same speed. The observer B stays stationary. Consider the following expressions. (INJSO 2012)I. VA > VB > VC. II. VA = VB = VC.III. VB = (VA + VC)/2 IV. VB = √V AV CThe correct expressions are:(A) I only. (B) I and III only. (C) I, and IV only. (D) II, III and IV only.

Mental Ability Test (55 questions) (50 min)

Set 1 (Rajasthan MAT 2008) Set 2 (Rajasthan MAT 2008)

Set – 3 (NTSE 2007 Stage – II)

Set – 4 (Bihar MAT 2009)

Set – 7 (Karnataka MAT 2012) How many squares? How many Triangles? How many parallelograms?

(A) 10 (B) 9 (C) 6 (D)5 (a) 12 (b) 11 (c) 10 (d) 8 (a) 16 (b) 12 (c) 10 (d) 8 (a) 6 (b) 7 (c) 9 (d) 10

SET – 8

1. A girl facing north turns 90° in the anticlock direction and then turns 45° in the clockwise direction and then again turns 135° in the anticlockwise, Which directions in she facing now? (Delhi MAT 2012) (A) South (B) East (C) North (D) West

2. If the position of the letters in the word ‘GOVERNMENT’ are rearranged in such a way that the position of the 1st and 2nd letters are interchanged, similarly the position of the 3 rd and 4 th letters are interchanged and so on. Which of the following will be the 3rd from the right end after the rearrangement? (Delhi MAT 2012)

(A) M (B) E (C) V (D) R

3. In a row at a bus stop, A is 7th from the left and B is 9th from the right. They both interchange their positions. Now A becomes 11th from the left. How many people are there in the row? (Resonance NTSE Mock test)

(A) 18 (B) 19 (C) 20 (D) 21

Set – 9 (Haryana MAT 2009) Calculate the number of cubes

SET-11 B, M, T, R, K, H and D are travelling in a train compartment with III-tier sleeper berth. Each of them hasa different profession of Engineer, Doctor, Architect, Pharmacist, Lawyer, Journalist and Pathologist.They occupied two lower berths, three middle berths and two upper berths. B, the Engineer, is not on the upper berth. The Architect is the only other person who occupies the same type of berth as that of B. M and H are not on the middle berth and their profession are Pathologist and Lawyer respectively. T is a Pharmacist. D is neither a Journalist nor an Architect. K occupies the same type of berth as that of the Doctor. (Resonance MAT DPP)

SET – 12 Arrange in the sequence in which they occur in dictionary order: (Bihar MAT 2007)

Language Test (Target NTSE) (24 questions)(20 min)

SET – 1 - Read the following passage and answer the questions given after it.

Jyoti lived with her mother in a small village. From a young age she had witnessed her mother, a widow, being ill treated by the villagers. But when she was in high school she began to understand things. She couldn’t take the insults to her mother anymore. She decided to change the way widows were viewed in village society. Jyoti started a “Widow Empowerment Campaign”. She spoke to village elders and knocked on two hundred doors to spread her message. She learned to organize street plays which she used to make people aware about the plight of widows.Naturally her ideas were not acceptable to the society entrenched in tradition. People pushed her out of their houses and refused to listen to what she had to say. But she went on relentlessly without faltering. Today, widows are allowed go out of their homes like others. Many, including her mother are now employed at organisations and literacy centres. (NTSE 2013 Stage –II)

SET-2 - Each question in this chapter consists of an italicised word. You should choose from among the choices given the one word whose meaning is closest to that of the word in italics.

SET -3 – Sentence Completion type questions :

SET 4 - Jumbled Sentences (TIME Verbal Ability Section Tests)

1. (A) It has been pouring relentlessly for three months now and hope seems to be the only element that has been kind to the children at the Indira Gandhi International Centre. (B) It has sustained these children of Sri Lankan refugees for six years now. (C) Few months of rain and cold winds are just another day's agony for the tender souls. (D) It was hope indeed which brought the children from across the seas to Yelahanka, 15 km. from Bangalore.

(1) ADBC (2) ABDC (3) CADB (4) DBAC (5) BCDA

2. A. Progressively people are now taking up specialized courses, which suit their interests and requirements. B. Hindi is the national language, but English has become the Lingua Franca in the country. C. While our constitution recognizes 18 languages, more than 5,000 dialects are spoken in various parts of the subcontinent. D. Our country with a population of more than one billion is known for the multiplicity of its cultures and ethnicities. E. However, the desire for learning new languages is increasing.

(1) DCBEA (2) CBAED (3) ABEDC (4) DCBAE (5) DBCAE

SET 5 - Idioms and Phrases :

Maths (Target - NTSE/NSTSE/NSEJS) (30 questions) (60 min)

1. Number of real solutions of (x2−7 x+11)x2−11 x+30=1 is (Chandigarh SAT 2012)

(A) 4 (B) 5 (C) 6 (D) No Solution

2. Ifx+ 1y=1 and y−1

z=1 then the value of xyz is : (West Bengal SAT 2012)

(A) 1 (B) -1 (C) 0 (D) -2

3. Price of a piece of diamond is Rs.2000. It is broken into two equal pieces. If price of diamond is proportional to square of its weight, then the amount of loss for breaking into two pieces is : (West Bengal SAT 2012) (a) Rs.1120 (b) Rs.1050 (c) Rs.2000 (d) Rs.1000

5. If the zeros of the polynomial f(x) = k2x2 17x + k + 2, (k > 0) are reciprocal of each other, then value of k is: (Chandigarh SAT 2012)

(1) 2 (2) 1 (3) 2 (4) 1

17. How many times are the hands of a clock at right angle in a day? (IAS 1997)

(A) 22 (B) 24 (C) 44 (D) 48

19. Identify the INCORRECT statement about a polygon : (Self made) (A) Sum of all the exterior angles of a decagon is 360 degrees. (B) Sum of all the exterior angles of a pentagon is 360 degrees

(C) Measure of an interior angle of a regular polygon having exterior angle 60 degrees is 120 degrees. (D) Measure of an exterior angle of a regular polygon having interior angle 135 degrees is 120 degrees.

20. Identify the correct pair : (Self made) (A) dodecagon – 224 degree (B) decagon – 112 degree (C) pentagon – 120 degree (D) hexagon – 72 degree

21. If x is a positive integer less than 100, then the number of x which make √1+2+3+4+x an integer is : (Resonance NTSE Mock test) (A) 6 (B) 7 (C) 8 (D) 9

22. √3√3√3√3 = (Resonance NTSE Mock test) (A) 31/16 (B) 315/16 (C) 316/15 (D) 38/15

23. If x = 2 and x = 3 are roots of the equation 3x2–2kx + 2m = 0 then (k, m) = (Resonance NTSE Mock test) (A) (15/2, 9) (B) (9, 15/2) (C) (9/2,15) (D) (15, 9/2)