Directions: In the following items, a pair of words is provided. You are required to select the option that most appropriately describes the meaning of both the words and mark your response on the Answer Sheet accordingly.

Venal and Venial

The company will approve the budget, ____________ all the paperwork is submitted on time.

If (a² + b² + c²) = 64 , (ab + bc + ca) = 256 and abc = 987 then, find the value of (a³ + b³ + c³).

Ratio of the radius of cone to cylinder is 1 : 2 and the volume of the cylinder is 4928 cm³. If the height of the cylinder is 8 cm and the slant height of the cone is 24 cm, then find the volume of the cone.

______________ you refuse to cooperate, I shall have to take harsh steps.

If 1 + sin²θ - 3 sinθ cosθ = 0, then find the value of cotθ (θ ≠ 45°)?

Directions: Each of the sentences in the following items has an underlined word, followed by four choices. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.

 The politician’s speech was filled with invective against his opponents.

Some students made a robot. The face of the robot is circular in shape with a radius of 12.3 cm, and its middle part is cubic in shape with a length of 123.7 cm, width of 75.5 cm, and height of 12.3 cm, and it has two cylindrical legs with a radius 15.10 cm and height 10.5 cm. Find the volume of the robot. (round off to two decimal places)

In this section an underlined word has been used variously in three sentences S1, S2 and S3. You are required to determine in how many sentences has the word been used correctly, and mark your answer from the options (1), (2) or (3) given below. If the word has not been correctly used in any one or more of the given sentences mark your response as (4).

Insinuating 

S1-  He seeked an apology for airing a news programme insinuating her involvement in anti-national activities.

S2- The High Court has posted the case for insinuating  hearing.

S3- Some workers said their wages have not been insinuating during the last seven years.

Select the most appropriate option to fill in blank No. 3

Match List I (Parts of Speech) with List II (Example)

Code:
A B C D

With reference to the Vedic Period, consider the following statements:

1. The Rig Veda is the earliest of all the Vedas.

2. The term Gotra first appeared in the Later Vedic period.

3. The Sabha and Samiti lost importance during the Later Vedic period.

Which of the statements given above are correct?

The total surface area of a cube is equal to the area of the bottom of a cuboid. If the volume of the cuboid is 1080 cm³ and height is 9 cm then find the length of a side of the cube.

Without the seatbelt, a sudden stop in the car can send you out of your seat. Which of the following physics laws apply here?

Consider the following statements about Indian agriculture:

1. Agriculture in India is largely dependent on monsoon rainfall.

2. The share of agriculture in India’s GDP has been gradually increasing since independence.

3. India is the second-largest producer of rice and wheat in the world.

Which of the statements given above are correct?

If a³ + b³ + c³ - 3abc = 252 and a + b + c = 6. Find the value of ab + bc + ca.

The rate at which the Reserve Bank is ready to buy or rediscount bills of exchange or other commercial papers is called the ______. 

Directions: Each of the sentences in the following items has an underlined word, followed by four choices. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.

The general’s tactics were cunning and effective in battle.

The triad of group 2 metals consists of which of the following elements?

The power of a bulb is 40 W. Then the energy in SI units consumed by it in 100 s is:

Select the most appropriate meaning of the given idiom.

To be under the weather

Match the following phrases with their correct one-word substitutions.

Ravi has 1458 litres of a mixture of milk and water. The ratio of milk to water in this mixture is 8 : 1. How much water (in litres) should Ravi add to the mixture so that the ratio of milk and water becomes 6 : 5?

A company is printing a limited number of 5-digit numbers. The company wants to know the smallest and largest 5-digit numbers that are divisible by 15, 10, and 8. Find the numbers.

Match List I (Parts of Speech) with List II (Example) and select the answer using the code given below the Lists.

Code:
A B C D

An adult human being has how many incisors in his/her mouth?

The refractive index of fluid A is 1.47. This means:

Match List I (Parts of Speech) with List II (Example)

Code:
A B C D

'Matki' is a popular folk dance of which of the following states?

Select the most appropriate option to fill in the blank.

Several pictures and videos have been circulating ______ social media featuring her.

In this section an underlined word has been used variously in three sentences S1, S2 and S3. You are required to determine in how many sentences has the word been used correctly, and mark your answer from the options (1), (2) or (3) given below. If the word has not been correctly used in any one or more of the given sentences mark your response as (4).

Misappropriation

S1- The firm discussed the alleged misappropriation of trade secrets on its company website.

S2- He was charged with embezzlement and misappropriation of union funds.

S3- There was an alleged financial misappropriation.

If a new device is attached to a computer, such as a printer or scanner, its __________ must be installed before the device can be used.

A word has been given in the following question. In response to the highlighted word, sentences have been provided in the options below. Find the appropriate statement representing the given word.

Applicable

Directions:

In the following items a pair of statements (S1, S2) is given. Select the most appropriate and relevant co-relationship of the second statement to the first from among the options provided, and mark your response on the Answer Sheet accordingly.

S1. A river cuts through rock not because of its power, but its persistence.
S2. Steady, consistent effort can achieve goals that brute force cannot.

The second statement:

When the number of 2k + 1 form is divided by 7 leaves a remainder of 3. When divided by 5 the remainder is 4. What is the sum of all three digits such numbers?

Fill in the blank with the most appropriate word.

The wise try to improve themselves ______ the fools keep blaming their luck.

Select the correct option to form a meaningful sentence.

Did (a)/ offences (b)  / know (c)/ you (d)/ that men (e)/ four times (f)/ commit (g)/ driving (h)/ as many (i)/ women do? (j) / as (k)

Select the most appropriate option to fill in blank No. 10

In which of the following cities did Mahatma Gandhi lead the peasant movement against the imposed indigo cultivation by the British planters?

Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

A good / the best / of a man / book / is / friend

Identify the segment in the sentence, which contains the grammatical error.

Economics is one of the subject which I have found very difficult since school.

If (x + y)³ + 27 (x - y)³ = (Ax - 2y) (Bx² + Cxy + 13 y²), then the value of A - B - C is:

 The symbol for resistance (R) is denoted with:

Directions: Each of the sentences in the following items has an underlined word, followed by four choices. Select the most appropriate option that is an improvement of the underlined word in the context of the sentence, and mark your response on the Answer Sheet accordingly.

 The lawyer gave a cogent argument that convinced the jury.

Which of the following organs of the human body has the function of filtering blood?

Match the following phrases with their correct one-word substitutions.

The average weight of a certain student in a class is 48.5 kg. Ten of them, whose average weight is 45 kg, leave the class, and eight students, whose average weight is 46.5 kg, join the class. Thereby, the new average increases by 0.475 kg. The number of students who were there originally was:

Identify the segment in the sentence, which contains the grammatical error.

India has substantially reduced its rate of poverty, though at cost of increasing economic inequality.

Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

Clean water supplies / in the home / are essential / good health and cleanliness / for

The Kudremukh mines located in Karnataka are chiefly famous for the extraction of which major mineral resource?