Question : The tower is 50 metres high, its shadow is $x$ metres shorter when the sun's elevation is $45°$ than when it is $30°$. The value of $x$ (in metres) is:

Option 1: $50\sqrt{3}$

Option 2: $50\left ({\sqrt3-1} \right)$

Option 3: $50\left ({\sqrt3+1} \right)$

Option 4: $50$

Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
All men are employees.
No employees are professionals.
Conclusions:
I. No men are employees.
II. No men are professionals.

Option 1: Only I follows

Option 2: Only II follows

Option 3: Neither I nor II follows

Option 4: Both I and II follow

Question : In the following question, out of the given four alternatives, select the one that best expresses the meaning of the idiom or phrase.
Once in a blue moon

Option 1: Once in a day

Option 2: Frequently

Option 3: Rarely

Option 4: Once a week

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.

Clean India Mission is one of the most (1) _____ and popular missions to have taken place in India. This mission includes a reward to a state and a city. This encourages every citizen to keep the surroundings clean. This cleanliness campaign was (2) _____ by the Indian government at the national level, (3) _____ all the rural towns and urban cities. Its primary objective is to spread awareness of the importance of cleanliness. Slogans are written on the banners and pictures are painted in a very attractive manner to evoke the feeling of cleanliness. After that, a major objective was to teach citizens to (4) _____ of waste mindfully and to provide basic (5) _____ facilities. For this, wet and dry dustbins are kept by every citizen whether it is home or office.

Select the most appropriate option to fill in the blank number 3.

Option 1: encompassing

Option 2: preventing

Option 3: excluding

Option 4: restraining

Question : What is the expansion of ($x$ + 11)($x$ – 11)?

Option 1: $x$² + 11

Option 2: $x$² – 121

Option 3: $x$² + 121

Option 4: $x$² – 11

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error."

The job for drawing water (1) / from the village well is usually (2) / carried out by the women and young girls. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : The average of 15 numbers is 53. A number is removed and the average of 14 numbers now becomes 55. Which number was removed?

Option 1: 26

Option 2: 23

Option 3: 25

Option 4: 24

Question : Directions: Find out the correct alternative that when filled in the blanks in the same sequence will make the series logically complete.
W_KY_ENCYG_GZIT_ _KWO

Option 1: BXQGA

Option 2: CXQKA

Option 3: AYQGB

Option 4: DXRKA

Question : Globalisation means

Option 1: Integration of economy

Option 2: Integration of financial market 

Option 3: Integration of the domestic economy with the world economy

Option 4: integration of the various sector of the economy 

Question : Select the most appropriate synonym for the underlined word in the following sentence.
She's so benevolent that she can't even harm a fly, let alone hurting someone.

Option 1: gloomy

Option 2: unfortunate

Option 3: grudging

Option 4: compassionate