Q.1. How many triangle are present in the given figure?

(a) 12

b) 16

(c) 24

(d) 20

Ans. (d)

**Explanation :-** The given figure is

For calculating traingles let us marks the diagram as,

The simplest triangles are AEI, EOI, OHI, HAI, EBJ, BFJ, FOJ, OEJ, HOL, OGL, GDL,

DHL, OFK, FCK, CGK and GOK i.e. 16 in number.

The triangle composed of two components each are HAE, EBF,GDH,FCG, I.E. 4 in number

No. of Triangles = 16+4 = 20

There are total 20 triangles So , option (d) is the correct answer.

Q.2. The digit in the unit’s place of the product 3^{999} x 7^{1000} is

a) 9

b) 7

c) 1

d) 3

Ans. (b)

**Explanation :- ** Given that 3^{999} x 7^{1000}

We know that after fourth power there is a repeat of unit digit

= 3^{3} x 7^{0} = 7 x 1

= 7

Option (b) is the correct answer.

Q.3. ____ : PERMIT :: ENFORCE : RELAX

a) Allow

b) License

c) Forbid

d) Reinforce

Ans. (c)

**Explanation :- ** FORBID is the antonym of PERMIT. So, option (c) is the correct answer.

Q.4. Given a fair six faced dice where the faces are labelled as 1, 2, 3, 4, 5 and 6. What is the probability of getting 1 on the first roll of the dice and 4 on the second roll of the dice?

a) 5/6

b) 1/6

c) 1/36

d) 1/3

Ans. (c)

**Explanation :**– Given that there is a 6 faced dice .

P(t) = 1/6

P(4) = 1/6

The required probability is calculated as,

Required probability = 1/6 x 1/6 = 1/36

So, the correct option is (c).

Q.5. Rafi told Mary, “I am thinking of watching a film this weekend.”

The following reports the above statement in indirect speech: Rafi told Mary that he ** _** of watching a film that weekend.

a) thought

b) was thinking

c) am thinking

d) is thinking

Ans. (b)

**Explanation :- ** The above statement in indirect speech will become Rafi told Mary that he **was thinking** of watching a film that weekend.

Q.6. A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted to stop

using tobacco. Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?

a) A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so.

b) A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so.

c) Approximately 30% of tobacco users successfully stopped consuming tobacco.

d) Approximately 65% of tobacco users successfully stopped consuming tobacco

Ans. (b)

Q.7. A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown. The area of the shaded region is ** _** cm

a) 6\pi

b) 18

c) 20

d) 9\pi

Ans. (d)

**Explanation :- **Let us first find rtadius, r=6/2 = 3 cm

The area of semi circle is calculated as,

Area of semi circle = \frac{\pi\; r^{2}}{2} \frac{\pi r^{2}}{2}=\frac{22}{7}\times \frac{3^{2}}{2}=\frac{99}{7} cm^{2}Area of shaded part = 2\times \left ( 9-\frac{9\pi }{4} \right )+\frac{9\pi }{4} =18

Option (d) is the correct answer.

Q.8. Which one of the options does NOT describe the passage below or follow from it?

We tend to think of cancer as a ‘modern’ illness because its metaphors are so modern. It is a disease of overproduction, of sudden growth, a growth

that is unstoppable, tipped into the abyss of no control. Modern cell biology encourages us to imagine the cell as a molecular machine. Cancer is that

machine unable to quench its intial command (to grow) and thus transform into an indestructible, self-propelled automaton.

[Adapted from The Emperor of All Maladies by Siddhartha Mukherjee]

a) It is a reflection of why cancer seems so modern to most of us

b) It tells us that modern cell biology uses and promotes metaphors of machinery.

c) Modern cell biology encourages metaphors of machinery, and cancer is often imagined as a machine.

d) Modern cell biology never uses figurative language, such as metaphors, to describe

or explain anything.

Ans. (d)

Q.9. Which one of the following options represents the given graph?

a) f(x) = x^{2} 2^{|-x|}

b) f(x) = x 2^{|-x|}

c) f(x) = |x| 2^{-x}

d) f(x) = x 2^{-x}

Ans. (b)

**Explanation :- **It is an odd symmetry function.

We know that property of odd function is F(-x)=-f(x)

So, option (b) is the correct answer.

Q.10. Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that suprisingly none of the students from the Department of Human Sciences had completed the registration process. Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?

(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.

(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.

(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.

a) (i) and (ii)

b) (i) and (iii)

c) only (i)

d) only (iii)

Ans. (d)

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