Question : The ratio of the angles of a triangle is 2 : 2 : 5. What is the largest angle?

Option 1: $120^\circ$

Option 2: $80^\circ$

Option 3: $110^\circ$

Option 4: $100^\circ$

Question : ABC is an isosceles right-angled triangle with $\angle$B = 90°. On the sides AC and AB, two equilateral triangles ACD and ABE have been constructed. The ratio of the area of $\triangle$ABE and $\triangle$ACD is:

Option 1: $1 : 3$

Option 2: $2 : 3$

Option 3: $1 : 2$

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

Question : If $6 \cot \theta=5$, then find the value of $\frac{(6 \cos \theta+\sin \theta)}{(6 \cos\theta-4 \sin\theta)}$

Option 1: 5

Option 2: 1

Option 3: 6

Option 4: 0

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

I brought / an apple from / a place you recommended / me earlier.

Option 1: I brought

Option 2: me earlier

Option 3: a place you recommended

Option 4: an apple from

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.
The entertainment (1)_______ built by Walt Disney is sometimes called the ‘House of Mouse’ in acknowledgement of the leading role played by Disney’s most famous creation, Mickey Mouse. Mickey’s round mouse ears, either in silhouette or adorning a hat, have become one of the most (2)_______ corporate logos in the world. But if a few business decisions in the 1920s had gone differently, they could have been rabbit ears.
In the mid-1920s Disney was a young (3)________ producing a series called the Alice Comedies, short films that combined live-action footage with animated images so that human actors appeared to interact with cartoon characters. But he had grown tired of the series and wanted to move on to making completely animated films. In 1927 he got his wish, (4)_______ a deal with Universal to produce a new series based on the adventures of a character called Oswald the Lucky Rabbit. Both the name and the species of the character had been picked by Universal—'Oswald’ was (5)________ picked out of a hat of names, and the character was
made a rabbit because there were already too many cartoon cats on the market.
Question:
Select the most appropriate option to fill in the blank number 4.

Option 1: striking

Option 2: crossing

Option 3: bewitching

Option 4: possessing

Question : A man invests Rs. 44,000 in some shares in the ratio 1 : 4 : 5 which pay dividends of 10%, 15%, and 25% on his investment for one year, respectively. His total dividend income is:

Option 1: Rs. 7,850

Option 2: Rs. 8,580

Option 3: Rs. 7,970

Option 4: Rs. 8,510

Question : How many judges are there in the Supreme Court in 2023?

Option 1: 25

Option 2: 26

Option 3: 30

Option 4: 34

Question : Directions: What should come in place of ? in the given series?
38, 39, 41, 44, 48, ?

Option 1: 56

Option 2: 53

Option 3: 51

Option 4: 55

Question : A train is 250 meters long. If the train takes 50 seconds to cross a tree by the railway line, the speed of the train in km/h is:

Option 1: 10

Option 2: 9

Option 3: 5

Option 4: 18

Question : According to the Census of India 2011, what is the decadal population growth rate?

Option 1: 16.2%

Option 2: 17.2%

Option 3: 16.7%

Option 4: 17.7%