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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
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.
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
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:
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
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
Question : Petroleum is a mixture of
Option 1: elements
Option 2: hydrocarbons
Option 3: Polymers
Option 4: salts
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
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
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 =
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
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
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.
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.
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
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
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:
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
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
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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