Question : ABC is an isosceles triangle inscribed in a circle. If AB = AC = $12\sqrt{5}$ cm and BC = 24 cm, then the radius of circle is: 

Option 1: 10 cm

Option 2: 15 cm

Option 3: 12 cm

Option 4: 14 cm

Question : Directions: A + B means A is the brother of B.
A – B means A is the mother of B.
A × B means A is the husband of B.
A ÷ B means A is the sister of B.
If P ÷ Q – R + S – K × L, then which of the following statements is correct?

Option 1: Q is L’s mother

Option 2: R is K’s mother’s brother

Option 3: Q is S’s sister

Option 4: R is L’s husband’s brother

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.
D_BA_CB_DCB_D_BA

Option 1: CDAAC

Option 2: DBCAC

Option 3: DCBCA

Option 4: CBDCA

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 from the statements.
Statements:
I. All blocks are toys.
II. All toys are books.
III. All books are stories.
Conclusions:
I. Some toys are blocks.
II. Some blocks are books.
III. Some stories are toys.

Option 1: Only conclusions I and III follow

Option 2: Only conclusions II and III follow

Option 3: Only conclusions I and II follow

Option 4: All the conclusions follow

Question : The length of the side of a cube is 4.2 cm. What is the volume of the largest sphere that can be taken out of the cube?

Option 1: 26.40 cm³

Option 2: 20.50 cm³

Option 3: 38.80 cm³

Option 4: 48.60 cm³

Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is 4.

You have come here with the intention in insulting me.

1. for insulting me
2. of insulting me
3. on insulting me
4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : Select the most appropriate indirect form of the given sentence.
She said to him, “Please fill in this form.”

Option 1: She said that he had to fill in that form.

Option 2: She told him to fill in this form.

Option 3: She asked him to please fill in that form.

Option 4: She requested him to fill in that form.

Question : Select the correct indirect form of the given sentence.

The landlord said to me, “Did you pay the water bill on time?”

Option 1: The landlord asked me if I paid the water bill on time.

Option 2: The landlord asked me did I paid the water bill on time.

Option 3: The landlord asked to me that did I pay the water bill on time.

Option 4: The landlord asked me if I had paid the water bill on time.

Question : Comprehension:

Read the following passage and answer the questions given after it.

The number of Indian students going abroad for higher studies has increased by 68.79 per cent in the past year, according to data provided by the Minister of State in the Ministry of Education, Subhas Sarkar. As per the data provided by him in the Lok Sabha, the number of Indians enrolled in foreign varsities increased from 4.44 lakh in 2021 to 7.5 lakh in 2022. He clarified that while the Bureau of Immigration and Ministry of Home Affairs maintain departure and arrival data of Indians, there is no index for capturing the category of Indians going abroad for higher education.

"Purpose of Indians going abroad for higher education is captured manually based either on their verbal disclosure or the type of visa of the destination country produced by them at the time of immigration clearance," Sarkar said.

According to the data provided by the ministry, the number of Indian nationals increased from 4.54 lakh in 2017 to 5.17 lakh in 2018. There was a significant increase in 2019 as well, with 5.86 lakh students flying out of the country. However, during the COVID-19 pandemic, the number of Indian nationals in foreign varsities saw a drastic dip as only 2.59 lakh students were registered. While the number continued to remain low, it saw a slight increase in 2021 with 4.44 lakh registrations. However, the number has significantly jumped to 7.5 lakh in 2022. The increase in the number of Indian nationals abroad corresponds with the latest immigration reports from some of the popular study-abroad destinations such as the US, UK, and Australia. For the UK, the Immigration Statistics Report states that 127,731 visas were granted to Indian students in September 2022, an increase of 93,470 (+273 per cent) against 34,261 in 2019. Similarly, in the US, the number of Indian students has more than doubled, and the Open Doors Report 2022 has predicted that the number of Indian students heading to America is likely to surpass those from China in 2022-23.

Question:

How do we know the number of students getting visas for studies in the UK?

Option 1: from the records of Ministry of Home Affairs

Option 2: from the Immigration Statistics Report

Option 3: from the records of the Bureau of Immigration

Option 4: from the Ministry of Education

Question : Direction: In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

A, CD, GHI, ?, UVWXY

Option 1: LMNP

Option 2: MNOL

Option 3: NOPL

Option 4: MNOP