Question : In a triangle PQR, $\angle$Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circumcircle of the triangle?

Option 1: $5$

Option 2: $6$

Option 3: $6.5$

Option 4: $6\sqrt2$

Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
I. Some pens are books.
II. All books are compasses.
III. Some compasses are pins.
Conclusions:
I. Some compasses are pens.
II. All compasses are pens.
III. Some pins are books.
IV. Some compasses are books.

Option 1: Only conclusions I and II follow

Option 2: Only conclusions I and III follow

Option 3: Only conclusions I and IV follow

Option 4: Only conclusions III and IV follow

Question : Consider the following statements about the main reasons for the excessive cold in north India during the cold weather season and identify which of the statements are correct.
1. States like Punjab, Haryana and Rajasthan, being far away from the moderating influence of sea, experience continental climate.
2. The snowfall in the nearby Himalayan ranges creates a cold wave situation.
3. Around February, the cold winds coming from the Caspian Sea and Turkmenistan bring a cold wave along with frost and fog over the northwestern parts of India.

Option 1: 1 and 2 only

Option 2: 2 and 3 only

Option 3: 1, 2 and 3

Option 4: 1 and 3 only

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error."

College girls seldom wear (1) / sarees these days, (2) / do they? (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : The following table shows the production of different types of two-wheelers from 1993 to 1998. Number of two-wheelers (in 1000s)

In which year is the percentage increase in the total production minimum in comparison to the previous year?

Option 1: 1994

Option 2: 1995

Option 3: 1996

Option 4: 1997

Question : The smallest fraction which should be added to the sum of $2\frac{1}{2}, 3\frac{1}{3}, 4\frac{1}{4}$ and $5\frac{1}{5}$ to make the result a whole number is:

Option 1: $\frac{13}{60}$

Option 2: $\frac{1}{4}$

Option 3: $\frac{17}{60}$

Option 4: $\frac{43}{60}$

Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series.
$\frac{W}{S}$, $\frac{U}{O}$, $\frac{S}{K}$, $\frac{Q}{G}$, ?

Option 1: $\frac{P}{R}$

Option 2: $\frac{C}{O}$

Option 3: $\frac{R}{J}$

Option 4: $\frac{O}{C}$

Question : Directions: Select the option figure in which the given figure is embedded (rotation is NOT allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Question : Select the most appropriate synonym for the highlighted word.

The government's utilitarian stance was appreciated by all.

Option 1: thrust

Option 2: fanciful

Option 3: useful

Option 4: distasteful

Question : Select the INCORRECTLY spelt word.

Option 1: Arrangement

Option 2: Jeopardise

Option 3: Corruption

Option 4: Remission