Admission and Scholarship Test

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(Division of Aakash Educational Services Ltd.)

Regd. Office : Aakash Tower, Plot No.-4, Sec-11, MLU, Dwarka, New Delhi-110075 Ph.: 011-47623456 Fax : 011-47623472

Admission-cum-Scholarship Test
(Sample Paper)
(First Step for IIT-JEE 2012-2014)
(Syllabus of the Test : Mathematics of Class IX & X)
Roll No.: __________________

Test Booklet Code:

Time : 1½ Hrs.

A

Max.Marks : 150

INSTRUCTIONS TO THE CANDIDATES
1. The initial 10 minutes are earmarked for the candidates to carefully read the instructions. (Note : The candidates are not allowed to either look inside the question booklet or start answering during these initial 10 minutes.)

2. The question booklet and answer sheet are issued separately at the start of the examination. 3. This question booklet contains 50 questions.
4. Read each question carefully.
5. Determine the correct answer, one out of the four available choices given under each question. 6. Completely darken/shade the relevant circle (with a HB pencil only) against the Question No. on the Answer Sheet.

7. For each correct answer, three marks will be awarded. For each wrong answer, 1 mark will be deducted. For Example
Q. 12 : In the Question Booklet is: Which one of the following is linear in Geometry ? (Answer Sheet)
(1) SO2
Q.12. 
(2) CO2
(3) NO2
(4) KO2
Thus as the correct answer is choice 2, the candidate should darken completely (with a HB pencil) the circle corresponding to choice 2 against Question No. 12 on the Answer Sheet. If more than one circle is darkened for a given question such answer will be rejected.

8. Do not use white-fluid or any other rubbing material on answer sheet. No change in the answer once marked is allowed. Before handing over the answer sheet to the invigilator, candidate should check that Roll No. and Test-Booklet code have been filled and marked correctly. 9. Rough work should be done only on the space provided in the question booklet. 10. Immediately after the prescribed examination time is over, the Answer sheet and Question booklet are to be returned to the invigilator. If the candidate wants to leave the examination hall before time, he/she should hand over the question paper and answer sheet to the invigilator. However, no student can leave the examination hall before half time.

First Step for IIT-JEE 2014

Sample Test Paper

MATHEMATICS
Choose the correct answer :
1.

7.

The number ( 2  3)2 is a/an
(1) Rational number
(3) Natural number

2.

(2) Irrational number
(4) Positive integer

a1 + a3 + a6 + a14 + a17 + a19 is
(1) 50

ax2 + bx + c = 0, where a = b = c = 0 is

(3) Infinitely many
3.

8.

(2) 2
(4) 0

If a natural number is selected at random from the
first 50 natural numbers, then the probability that
the number is a perfect square greater than 4 is
(1)

(2)

1
10

(3)
4.

1
5
4
5

(4)

(2) 100

(3) 20

The number of roots of the equation

(1) 1

If a1, a2, ....., an are in A.P. and a5 + a15 = 10,
then the value of

(4) 30

If a triangle has a perimeter equal to 30 cm and
two of its sides are 10 cm each, then the area of
this triangle is
(1) 29 3 cm2
(3) 27 2 cm2

3
50

9.

(2) 25 3 cm2
(4) 26 5 cm2

If the circumference of a circle is
diameter of the circle is
(1) 60 

If the distance between the points (P, –5) and
(2, 7) is 13 units, then P is
(1) –3 or 7

(3)

(2) –7 or 3

(4) 3 or 7
Consider an equation ax2 + bx + c = 0 such that

2

(3)  2

15


(4) 30

(1)

2 , then the

(2) 1

1
2

(2)

1
4

(3)

b = 0. If one root of the equation is
other root will be
(1)

30
2

(2)

10. If a coin is tossed twice, the probability of getting
at least one head is

(3) –3 or –7

5.

30
, then the


3
4

(4)

1
3

(4) 2
11. For the equation 2x + y = 7, if y < 0, x is always

6.

sec   1
sec   1

is equal to
sec   1
sec   1

(1) Positive
(2) Negative integer...
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