Question : The sides of a triangle are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$ and its perimeter is 104 cm. The length of the longest side (in cm) is:

Option 1: 52

Option 2: 48

Option 3: 32

Option 4: 26

Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.

A marketplace is always abuzz with activity. It is especially (1)___________a visit in the evenings. A (2)_________range of items are on display. (3) _________and getting a satisfactory (4) _________give the necessary sense of (5) __________to the bored housewife and bring a smile (6) ___________her face. People from all (7) __________of life, rich and poor, (8) ___________shoulders with each other. From their busy (9). ___________, here people find time to (10) __________a greeting with friends or neighbours.

Question:
Select the most appropriate option to fill in the blank number 10.

Option 1: displace

Option 2: transfer

Option 3: exchange

Option 4: return

Question : If $\sec \theta+\tan \theta=5, (\theta \neq 0)$, then $\sec \theta$ is equal to:

Option 1: $\left(5+\frac{1}{5}\right)$

Option 2: $\frac{1}{2}\left(3+\frac{1}{3}\right)$

Option 3: $\frac{1}{2}\left(5+\frac{1}{5}\right)$

Option 4: $\left(3+\frac{1}{3}\right)$

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
I am sure that / the postman would be / coming shortly / to deliver the letter.

Option 1: I am sure that

Option 2: coming shortly

Option 3: to deliver the letter

Option 4: the postman would be

Question : Ankita sold her watch at a 5% loss. If she had sold it for Rs. 300 more, she would have gained 5%. Find the selling price of the watch.

Option 1: Rs. 2,900

Option 2: Rs. 2,750

Option 3: Rs. 3,000

Option 4: Rs. 2,850

Question : Which of the following is not correct about Mahatma Gandhi ?

Option 1: Gandhi advocated complete sepration of Politics from religion.

Option 2: Gandhi believed in non-violence

Option 3: Gandhi believed in the sanctity of means.

Option 4: Gandhi supported close relation between religion and politics.

Question : Which of the following will yield a maximum discount on INR 7,500?
1. Two successive discounts of 5% and 5%
2. Single discount of 10%
3. Two successive discounts of 8% and 2%

Option 1: 2

Option 2: 1

Option 3: All will yield the same discount

Option 4: 3

Question : Direction: Two years ago, Aadhya was three times as old as his son, and two years hence, twice her age will be equal to five times that of her son. Find Aadhya's present age.

Option 1: 38 years

Option 2: 36 years

Option 3: 34 years

Option 4: 42 years

Question : Select the option that expresses the given sentence in passive voice.

Does she know me?

Option 1: Am I known by her?

Option 2: Is she known to me?

Option 3: Is she known by me?

Option 4: Am I known to her?

Question : Directions: Some equations have been solved on the same basis as a certain system. Find out the correct answer for the unsolved equation on that basis.
If 98 – 39 – 27 = 31, 87 – 38 – 34 = 20, then 79 – 25 – 12 = ?

Option 1: 51

Option 2: 22

Option 3: 42

Option 4: 15