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Question : If $4 \sin ^2 \mathrm{A}-3=0$ and $0 \leq \mathrm{A} \leq 90^{\circ}$, then $3 \sin \mathrm{A}-4 \sin ^3 \mathrm{A}$ is:
Option 1: $\frac{1}{2}$
Option 2: $\sqrt{\frac{3}{2}}$
Option 3: $0$
Option 4: $1$
Correct Answer: $0$
Solution : $4 \sin ^2 \mathrm{A}-3=0$ $⇒\sin ^2 A = \frac{3}{4}$ $⇒\sin A = \frac{\sqrt{3}}{2}$ $3 \sin \mathrm{A}-4 \sin ^3 \mathrm{A}$ $=3 (\frac{\sqrt{3}}{2}) - 4 (\frac{\sqrt{3}}{2})^3 $ $=3 (\frac{\sqrt{3}}{2}) - 4 (\frac{\sqrt{3}}{2})^3 $ $=3 (\frac{\sqrt{3}}{2}) - 4 (\frac{3\sqrt{3}}{8}) $ $=(\frac{3\sqrt{3}}{2}) - (\frac{3\sqrt{3}}{2}) $ $= 0$ Hence, the
Question : Select the most appropriate option to fill in the blank. Hundreds of firms went bankrupt during the _________.
Option 1: recission
Option 2: revision
Option 3: remission
Option 4: recession
Correct Answer: recession
Solution : The correct choice is the fourth option.
A recession is a significant decline in economic activity, often characterised by a decrease in GDP, rising unemployment, and reduced consumer spending. In the context of the sentence, it's referring to a period of economic downturn.
The
Question : Fill in the blank with an appropriate option.
No matter how many times I try, I always end up in the same ____________.
Option 1: account
Option 2: meal
Option 3: pickle
Option 4: sauce
Correct Answer: pickle
Solution : The correct choice is the third option.
End up in a pickle is an idiom that means to end up in a troublesome or difficult situation. Pickle is the correct choice here, as it helps convey the intended meaning that no matter how many times
Question : Ten men begin to do a work. But after some days, four of them left the job. As a result, the job that could have been completed in 40 days is completed in 50 days. How many days after the commencement of the work did the four men leave?
Option 1: 30
Option 2: 20
Option 3: 35
Option 4: 25
Correct Answer: 25
Solution : Number of days taken by 10 men to complete the work = 40 Number of days taken to complete the work after 4 men left after some days = 50 Total work = 10 × 40 = 400 units Let the number of days after
Question : Directions: Which number will replace the question mark (?) in the following series? 46, 66, 94, 132, 182, ?
Option 1: 246
Option 2: 292
Option 3: 220
Option 4: 232
Correct Answer: 246
Solution : Given: 46, 66, 94, 132, 182, ?
Follow the pattern to obtain the required missing number –
So, 246 is the required missing number in the series. Hence, the first option is correct.
Question : Comprehension: 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 British king, Charles I, had (1)_____ a very difficult financial situation from his father. His period saw a very high rate of inflation. He wanted to (2)____ money. Therefore, he (3) _____ creating the title of Baronet and selling it to (4) _____ candidates. However, his decision was (5)_____ by the British parliament.
Question:
Select the most appropriate option to fill in the blank number 4.
Option 1: resourceful
Option 2: opulent
Option 3: healthy
Option 4: wealthy
Correct Answer: wealthy
Wealthy describes individuals who have a significant amount of wealth or are financially affluent. In the context provided, selling the title of Baronet is likely to appeal to wealthy candidates, as they would have the means to
Question : The solar eclipse occurs when:
Option 1: the Sun comes between the moon and the Earth
Option 2: the moon moves too far away from the Sun
Option 3: an asteroid comes between the Sun and the moon
Option 4: the moon comes between the Earth and the Sun
Correct Answer: the moon comes between the Earth and the Sun
Solution : The correct option is the moon comes between the Earth and the Sun.
When the Moon comes in front of the Sun, it blocks some or all of the Sun's light from reaching the Earth, and
Question : Kartik takes 4 hours to travel from place X to place Y at the speed of 80 km/hr. He takes 1 hour to travel from place Y to place Z with 80% increased speed. What is the average speed from Place X to Z for the complete Journey?
Option 1: 82.6 km/hr
Option 2: 90.8 km/hr
Option 3: 92.8 km/hr
Option 4: 88.6 km/hr
Correct Answer: 92.8 km/hr
Solution : Time to travel from place X to place Y = 4 hours Speed when travelling from place X to place Y = 80 km/hr Distance from place X to place Y = 4 × 80 = 320 km Time to travel from place Y
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – 1. The figure inside the box is rotating by 90° in a clockwise direction. 2. The triangle at the corner of the box is shifting its position corner by corner in a clockwise direction. Therefore, the required figure is as
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: DEFY
Option 2: HINT
Option 3: MOST
Option 4: SUVY
Correct Answer: SUVY
Solution : Let's check the options – First option: DEFY; DEFY is a meaningful word that means refuse to obey. Second option: HINT; HINT is a meaningful word that means clue. Third option: MOST; Most is a meaningful word that means to the greatest extent. Fourth option:
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