Question : If $\sin m+\sin n=p, \cos m+\cos n=q$, then find the value of $\sin m \times \sin n+\cos m \times \cos n$.

Option 1: $p^2+q^2-2$

Option 2: $\frac{p^2+q^2-2}{2}$

Option 3: $p+q-p q$

Option 4: $p+q+p q$

Question : If $\triangle ABC$~$\triangle PQR$, the ratio of perimeter of $\triangle ABC$ to perimeter of $\triangle PQR$ is 36 : 23 and QR = 3.8 cm, then the length of BC is:

Option 1: $4 \frac{103}{121} cm$

Option 2: $3 \frac{109}{121} cm$

Option 3: $5 \frac{109}{115} cm$

Option 4: $3 \frac{107}{115} cm$

Question : Name the river which is a reason for the dispute between India and Bangladesh?

Option 1: Teesta

Option 2: Brahmaputra

Option 3: Ganga

Option 4: None of the above

Question : Which type of emergency has been imposed only one time in India so far?

Option 1: Internal Emergency 

Option 2: State Emergency

Option 3: External Emergency 

Option 4: Financial Emergency

Question : A seller allows a discount of 9% on a watch. If he allows a discount of 6%, he earns Rs. 30 more in profit. What is the marked price?

Option 1: Rs. 900

Option 2: Rs. 1,400

Option 3: Rs. 1,000

Option 4: Rs. 1,300

Question : Select the most appropriate homonym to fill in the blank.

Should we go shopping for a_________ fan for our new house?

Option 1: ceiling

Option 2: sealink

Option 3: sealing

Option 4: selling

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.

Unemployment arises from a variety of_____ (1). One which is always recurring and the effects of which we have had a recent example is the disorganisation of the industry resulting from a long war, this is a serious______ (2) admitting of no easy ________(3) at the best of times. Again there is unemployment which followed a marked diminution in the______ (4) of any raw product, such as cotton; fewer hands are required in the mills and the factories. We may call this the cause of bad harvests. Similar, but more serious is the effect of changes in industry due to the invention of machinery which does more work and requires________ (5) hands. Yet another cause is strike or lockout and this is more to be deplored because such a stoppage is due to a very trivial matter, perhaps the men are working half an hour longer than what their Union permits.

Select the most appropriate option to fill in the blank number 1.

Option 1: causes

Option 2: thoughts

Option 3: things

Option 4: types

Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set.(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.E.g.13 – operations on 13 such as adding/subtracting/multiplying, etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(14, 28, 2)
(3, 42, 14)

Option 1: (5, 35, 8)

Option 2: (17, 68, 4)

Option 3: (9, 99, 10)

Option 4: (16, 36, 3)

Question : Two jars A and B contain the solutions of two liquids P and Q. The ratio of the liquids P and Q in jars A and B are 2 : 19 and 1:11, respectively. If 7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed, what is the ratio of the solutions P and Q in the new mixture?

Option 1: 10 : 1

Option 2: 1 : 9

Option 3: 9 : 1

Option 4: 1 : 10

Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow/s from the given statements.
Statements:
Some tables are caps.
All caps are bikes.
All bikes are pins.
Conclusion (I): Some pins are tables.
Conclusion (II): Some caps are not pins.

Option 1: Only conclusion (II) is true

Option 2: Only conclusion (I) is true

Option 3: Neither conclusion (I) nor (II) is true

Option 4: Both conclusions (I) and (II) are true