Question : If $x=a^{\frac{1}{2}}+a^{-\frac{1}{2}}$, $y=a^{\frac{1}{2}}- a^{-\frac{1}{2}}$, then the value of $(x^{4}-x^{2}y^{2}-1)+(y^{4}-x^{2}y^{2}+1)$ is:

Option 1: 16

Option 2: 13

Option 3: 12

Option 4: 14

Question : The Constitution

Option 1: is silent on the president's re-election to the office.

Option 2: allows the re-election of a person to the president's post.

Option 3: restricts a person from remaining president for only two terms.

Option 4: has been amended to allow a person only one term as president.

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

The deer was killed by the boar.

Option 1: The deer killed the boar.

Option 2: The boar was killing the deer.

Option 3: The boar was killed by the deer.

Option 4: The boar killed the deer.

Question : What is the full form of ITCZ?

Option 1: Intertropical converter zone

Option 2: Intertropical convergence zone

Option 3: Intertropical centre zone

Option 4: None of these

Question : Directions: In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
I. Some rings are fingers.
II. Some fingers are toes.
III. No toe is an earring.
Conclusions:
1. No earring is a ring.
II. Some toes are rings.

Option 1: Neither conclusion I nor II follows

Option 2: Only conclusion II follows

Option 3: Only conclusion I follows

Option 4: Both conclusions I and II follow

Question : A sum of money at simple interest amounts to INR 1,200 in 3 years and INR 1,350 in 4 years. The sum is:

Option 1: INR 650

Option 2: INR 850

Option 3: INR 450

Option 4: INR 750

Question : The arithmetic mean of the following data is _________.
23, 17, 20, 19, 21

Option 1: 20

Option 2: 19

Option 3: 23

Option 4: 21

Question : Directions: Select the option that represents the letters that, when placed from left to right in the blanks below, will complete the letter series.
_RQ_PR_S_ _QSPRQ_

Option 1: PQRSPR

Option 2: PSQPRS

Option 3: PSRQPS

Option 4: PRQSPS

Question : Directions: Select the set in which the numbers are related in the same way as the numbers of 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.)
(5, 98, 9)
(10, 168, 14)

Option 1: (1, 28, 3)

Option 2: (7, 108, 23)

Option 3: (15, 248, 19)

Option 4: (3, 88, 17)

Question : Directions: Six friends J, K, L, M, N, and O are sitting around a circular table facing the centre. N is not an immediate neighbour of M. M is sitting to the immediate left of J. J is sitting opposite L, who is sitting to the immediate right of K. Who is sitting second to the left of L?

Option 1: M

Option 2: O

Option 3: K

Option 4: N