Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All males are boys.
Some teachers are boys.
All students are teachers.
Conclusions:
I. Some boys are males.
II. Some teachers are students.
III. All males are students.

Option 1: All conclusions follow

Option 2: Only conclusions II and III follow

Option 3: Only conclusions I and II follow

Option 4: Only conclusions I and III follow

Question : Evaluate the following:$\sqrt{2+\sqrt{2+\sqrt{2+2\cos8\theta}}}$

Option 1: $2 \cos \theta$

Option 2: $2 \cos 2 \theta$

Option 3: $\sin 2 \theta$

Option 4: $\cos 2 \theta$

Question : A sum of Rs. 730 was divided among A, B and C in such a way that if A gets Rs. 3, then B gets Rs. 4. And if B gets Rs. 3.50, then C gets Rs. 3. The share of B exceeds that of C by:

Option 1: Rs. 30

Option 2: Rs. 40

Option 3: Rs. 70

Option 4: Rs. 210

Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following 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.)
(7, 15, 11)
(9, 19, 14)

Option 1: (8, 16, 13)

Option 2: (6, 13, 9)

Option 3: (13, 25, 21)

Option 4: (11, 23, 17)

Question : The value of $(\cos 53° – \sin 37°)$ is:

Option 1: $0$

Option 2: $1$

Option 3: $2 \sin 37°$

Option 4: $2 \cos 53°$

Question : In which of the following states Vidhan Sabha elections was not held in 2022?

Option 1: Haryana

Option 2: Goa

Option 3: Punjab

Option 4: Uttar Pradesh

Question : Wearing away of the landscape by different agents like water, wind and ice is called___________.

Option 1: weathering

Option 2: erosion

Option 3: metamorphosis

Option 4: sedimentation

Question : Directions: Which of the following diagrams represents the relationship among the given classes Green, Mango, and Fruits?

Option 1:

Option 2:

Option 3:

Option 4:

Question : What happens when a drop of glycerol is added to crushed potassium permanganate (KMnO).spread on a paper?

Option 1: There is a crackling sound 

Option 2: There is a violent explosion 

Option 3: There is no reaction 

Option 4: The paper ignites

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.)
(9, 26, 53)
(8, 23, 47)

Option 1: (5, 14, 29)

Option 2: (6, 17, 36)

Option 3: (11, 32, 56)

Option 4: (7, 20, 42)