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18 Views

Question : Evaluate $\frac{\sin 54^{\circ}}{\cos 36^{\circ}}+\frac{\sec 46^{\circ}}{\operatorname{cosec} 44^{\circ}}$

Option 1: 0

Option 2: –1

Option 3: 2

Option 4: 1

Team Careers360 24th Jan, 2024

Correct Answer: 2


Solution : Given: $\frac{\sin 54^{\circ}}{\cos 36^{\circ}}+\frac{\sec 46^{\circ}}{\operatorname{cosec} 44^{\circ}}$
= $\frac{\sin 54^{\circ}}{\cos (90^{\circ}-54^{\circ})}+\frac{\sec 46^{\circ}}{\operatorname{cosec} (90^{\circ}-46^{\circ})}$
= $\frac{\sin 54^{\circ}}{\sin 54^{\circ}}+\frac{\sec 46^{\circ}}{\sec 46^{\circ}}$
= $1 + 1$
= $2$
Hence, the correct answer is 2.

57 Views

Question : Select the most appropriate synonym to substitute the underlined word.

The weather forecast mentioned that there would be a cloud burst this afternoon.

Option 1: rainstorm

Option 2: sandstorm

Option 3: famine

Option 4: snowfall

Team Careers360 24th Jan, 2024

Correct Answer: rainstorm


Solution : The most appropriate choice is the first option.

"Rainstorm" means heavy rainfall with the storm, which is the appropriate choice, as "cloud burst' means there would be heavy rainfall that afternoon.

The meanings of the other options are as follows:

  • "Sandstorm" means a strong storm
9 Views

Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution required'.

When challenged, the man had no answer for his actions.

Option 1: No substitution required

Option 2: When in challenge

Option 3: When to be challenged

Option 4: While challenges

Team Careers360 24th Jan, 2024

Correct Answer: No substitution required


Solution : The correct answer is the first option.

Explanation: In the given sentence, when challenged is a participle phrase that correctly introduces the past event of the man being challenged. The phrase functions as an adverbial clause, providing information about the timing of

12 Views

Question : Petroleum is a mixture of 

Option 1: elements

Option 2: hydrocarbons 

Option 3: Polymers 

Option 4: salts

Team Careers360 24th Jan, 2024

Correct Answer: hydrocarbons 


Solution : The correct option is hydrocarbons.

Petroleum is a complicated combination of hydrocarbons rather than a polymer mixture. Organic substances made up of hydrogen and carbon atoms are known as hydrocarbons. Petroleum is a naturally occurring fossil fuel found under the Earth's surface that mostly comprises

300 Views

Question : A shopkeeper bought 20 chairs for Rs.18,000. On selling them, he had a gain equal to the selling price of four chairs. What was the selling price of each chair?

Option 1: Rs. 1,125

Option 2: Rs. 1,200

Option 3: Rs. 1,250

Option 4: Rs. 1,175

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 1,125


Solution : Profit = (SP of 20 chairs) − (CP of 20 chairs), where SP is the selling price and CP is the cost price.
⇒ SP of 4 chairs = SP of 20 chairs – CP of 20 chairs
⇒ SP of 16 chairs =

21 Views

Question : The sides of a triangular field are 120 m, 170 m and 250 m. The cost of levelling the field at the rate of INR 7.40/m2 is:

Option 1: INR 65,120

Option 2: INR 63,640

Option 3: INR 59,200

Option 4: INR 66,600

Team Careers360 25th Jan, 2024

Correct Answer: INR 66,600


Solution : Sides of triangular field = 120 m, 170 m, and 250 m.
Rate = Rs. 7.40/ m$^2$
Area of triangle = $\sqrt{S(S - a)(S - b)(S - c)}$
where semi-perimeter $S = \frac{a + b + c}{2}$, and $a,b,c$ are the sides of the

41 Views

Question : Select the most appropriate meaning of the given idiom.

Like a cat on a hot tin roof.

Option 1: Studying very hard.

Option 2: Being lazy.

Option 3: Being in a state of agitation.

Option 4: Urging somebody not to worry about something.

Team Careers360 24th Jan, 2024

Correct Answer: Being in a state of agitation.


Solution : The third option is the correct choice.

"Being in a state of agitation" is the correct meaning of the idiom. It suggests someone is nervous, anxious, or restless.

12 Views

Question : On which among the following dates did the Muslim League decide to join the Interim Government?

Option 1: 11 March, 1946

Option 2: 13 October,1946

Option 3: 30 June, 1947

Option 4: 23 April, 1947

Team Careers360 24th Jan, 2024

Correct Answer: 13 October,1946


Solution : The correct option is October 13, 1946.

The Muslim League decided to join the Interim Government on October 13, 1946. This decision was made during a meeting of the Muslim League Council in Delhi. The Interim Government was formed as part of the arrangements

16 Views

Question : Directions: A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
Question Figures:

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the given figures –
Here, the box with a triangle and dot is rotated by 90° in the clockwise direction to get the next image of the given series.
So, following the above pattern, the required figure will be as follows –

Therefore, the

16 Views

Question : Compounds with exactly two double carbon-carbon bonds are known as _____________.

Option 1: Terpenes

Option 2: Dienes

Option 3: Tri alkyne

Option 4: Di alkyne

Team Careers360 24th Jan, 2024

Correct Answer: Dienes


Solution : The correct answer is Dienes.

Dienes is an unsaturated chemical with two carbon atoms joined by double bonds. In the industrial sector, diene is employed as a monomer constituent of complex polymers. Additionally, organic synthesis uses it.

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