Question : In the given figure, a circle is inscribed in $\triangle$PQR, such that it touches the sides PQ, QR and RP, at points D, E, and F, respectively. If the lengths of the sides PQ = 18 cm, QR = 13 cm, and RP = 15 cm, find the length of PD.

Option 1: 10 cm

Option 2: 8 cm

Option 3: 15 cm

Option 4: 12 cm

Question : Name an alkylbenzene widely used as a chemical intermediate in the production of phenol.

Option 1: Cumene

Option 2: Furan

Option 3: Styrene

Option 4: Toluene

Question : A dishonest trader says to customers that he sells his goods at a cost price, but he uses a false weight and gains 12.5% as profit. How many grams does he use to weight 1 kg?

Option 1: 900 g

Option 2: 880.5 g

Option 3: 850 g

Option 4: 888.8 g

Question : If $x = \sqrt[3]{5} + 2$, then the value of $x^3-6x^2+12x-13$ is:

Option 1: $–1$

Option 2: $1$

Option 3: $2$

Option 4: $0$

Question : Select the option that can be used as a one-word substitute for the given group of words.
A formal statement testifying to someone's character and qualifications

Option 1: Document

Option 2: Affidavit

Option 3: Testimonial

Option 4: Manuscript

Question : 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 Maasais live in (1)_____ very beautiful part of Africa. They live on the wide plains in southern and northern Kenya and northern Tanzania. The area (2)____of miles of rolling grass land, on which you can find thorny bushes and rocky hills. The people move from one place to another according to the seasons, looking for grasses and other plants (3)_____ which their cattle can graze. They have no permanent home. When they want to settle in a place for some time, they build a kind of camp called a 'Manyatta', where a few families live for a (4)____ weeks or months. Then they move on again, taking their few (5)_____ with them, and burning the old 'Manyatta' to the ground.

Question

Select the most appropriate option to fill in blank number 5.

Option 1: inhibitions

Option 2: experiences

Option 3: antiques

Option 4: belongings

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.

The working of the stomach was (1) _____ by a strange accident. In 1822, a man named Alexis St. Martin was (2) _____ hit by a shotgun. The bullet had seriously (3) _____ the chest wall and made a hole in (4)_____ stomach. He was brought to an American army (5) _____ William Beaumont. The doctor saved the patient but he (6) ______ not close the hole properly. Beaumont took it as a (7) ______ opportunity to see the inside of the stomach (8) ______ the hole. He made some wonderful observations. Beaumont (9) ______ that the stomach was churning food. Its wall secreted a fluid (10) ______ could digest the food. He also observed that the end of the stomach opens into the intestine only after the digestion of the food inside the stomach is completed.

Question:

Select the most appropriate option to fill in the blank No. 7.

Option 1: strong

Option 2: fast

Option 3: countless

Option 4: great

Question : Directions: Select the odd group of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 –operations on 13 such as adding/subtracting /multiplying etc. 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

Option 1: 18 - 329

Option 2: 16 – 263

Option 3: 14 – 201

Option 4: 12 – 149

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".

The table's legs (1) / have been (2) / elaborately carved. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : What is the chemical name of saltpetre?

Option 1: Potassium nitrate

Option 2: Potassium manganite

Option 3: Lead nitrate

Option 4: Lead sulphate