It's a Question of your Career!

Question : The expression $\frac{\tan ^6 \theta-\sec ^6 \theta+3 \sec ^2 \theta \tan ^2 \theta}{\tan ^2 \theta+\cot ^2 \theta+2}, 0^{\circ}<\theta<90^{\circ}$, is equal to:

Option 1: $\sec ^2 \theta \operatorname{cosec}^2 \theta$

Option 2: $-\sec ^2 \theta \operatorname{cosec}^2 \theta$

Option 3: $\cos ^2 \theta \sin ^2 \theta$

Option 4: $-\cos ^2 \theta \sin ^2 \theta$

Question : The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A) Human relationships are a matter of great concern for every one of us
B) Nevertheless, social scientists have attached many other elements that actually help us for a good social life
C) As it helps us all to have a coordinated, balanced, and approachable life
D) The present generation fails to take cognisance of all such elements and fall prey to a lonely life, risking happiness.

Option 1: ADBC

Option 2: DABC

Option 3: ABCD

Option 4: ACBD

Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
All irons are coppers.
All coppers are aluminiums.
Conclusions:
I. Some aluminum are irons.
II. Some aluminum are coppers.

Option 1: Only conclusion II follows

Option 2: Neither conclusion I nor II follows

Option 3: Only conclusion I follows

Option 4: Both conclusions follow

Question : Directions: How many triangles are there in the given figure?

Option 1: 14

Option 2: 15

Option 3: 16

Option 4: 19

Question : Simplify the given expression.
$
\frac{432 \times 432+247 \times 247-432 \times 247}{432 \times 432 \times 432+247 \times 247 \times 247}
$

Option 1: $\frac{1}{259}$

Option 2: $\frac{1}{185}$

Option 3: $\frac{1}{679}$

Option 4: $\frac{1}{450}$

Question : Select the option that expresses the given sentence in active voice.

By whom can the problem be solved?

Option 1: Whom can solve the problem?

Option 2: Who can solved the problem?

Option 3: Whom can solved the problem?

Option 4: Who can solve the problem?

Question : A bag has Rs. 20.1 in the form of 1 rupee, 50-paise, and 10-paise coins in the ratio of $5:3:2$. What is the number of 50-paise coins in the bag?

Option 1: 6

Option 2: 9

Option 3: 15

Option 4: 3

Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error.'

Before he could devote many more / thought to the matter, Pranav / had stepped up to him.

Option 1: before he could devote many more

Option 2: thought to the matter, Pranav

Option 3: had stepped up to him

Option 4: No error

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

India is one of the largest producers of tea in the world. The industry is (1)________ recognised as technically very well (2) ________. The Indian tea industry is a (3) ________one traditionally. Tea has been used in India for (4) ________ purposes as well as for (5) ________.

Question
Select the most appropriate option to fill in the blank number 2.

Option 1: complex

Option 2: establish

Option 3: pampered

Option 4: equipped

Question : Directions: A, B, C, D, E, and F are standing in a circle talking, facing the centre of the circle. E is standing immediately right of C. D is standing at the third position towards the left of C. A is standing at the second place towards the right of F. Who is standing to the immediate right of D?

Option 1: B

Option 2: E

Option 3: C

Option 4: A