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Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The train is running late time.
(1) after
(2) behind
(3) off
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct answer is the second option: behind
It is the correct choice because it conveys the idea that the train is running late as per the scheduled or expected time. "Behind time" is a common expression used to indicate that something is delayed.
Question : If (sin $\alpha$ + cosec $\alpha$)2 + (cos $\alpha$ + sec $\alpha$)2 = k + tan2 $\alpha$ + cot2 $\alpha$, then the value of k is:
Option 1: 1
Option 2: 7
Option 3: 3
Option 4: 5
Correct Answer: 7
Solution : (sin $\alpha$ + cosec $\alpha$)2 + (cos $\alpha$ + sec $\alpha$)2 = k + tan2 $\alpha$ + cot2 $\alpha$ Taking the left-hand side of the expression, we get, (sin $\alpha$ + cosec $\alpha$)2 + (cos $\alpha$ + sec $\alpha$)2
Question : Which of the following options is NOT a correct trigonometric identity?
Option 1: $1+\cot ^2 \theta =\operatorname{cosec}^2 \theta$
Option 2: $1+\tan ^2 \theta =\sec ^2 \theta$
Option 3: $1-\sin ^2 \theta =\cos ^2 \theta$
Option 4: $\cos ^2 \theta-\sin ^2 \theta=1$
Correct Answer: $\cos ^2 \theta-\sin ^2 \theta=1$
Solution : Let's check the options: Option 1: $1 + \cot^{2}\theta = \operatorname{cosec}^{2}\theta$. It is a trigonometric identity. Option 2: $1+\tan^{2}\theta = \sec^{2}\theta$. It is a trigonometric identity. Option 3: $1-\sin^{2}\theta = \cos^{2}\theta$. It is a trigonometric identity. Option 4: $\cos^{2}\theta - \sin^{2}\theta
Question : Direction: The pie chart shown below shows the percentage of time taken by different processes in making a car. If the total time taken to make a car is 300 hours, what is the total time taken to paint and frame?
Option 1: 99 hours
Option 2: 72 hours
Option 3: 105 hours
Option 4: 66 hours
Correct Answer: 105 hours
Solution : Total time to make a car = 300 hours Time taken to paint and frame = 13% + 22% = 45% of total time taken = $\frac{45}{100}×300$ = 105 Hence, the correct answer is 105 hours.
Question : The average age of four members of a family is 32 years. If the age of a guest is included, then the average age increases by 12.5%. What is the age (in years) of the guest?
Option 1: 52
Option 2: 56
Option 3: 44
Option 4: 12
Correct Answer: 52
Solution : Given that the average age of four members of a family is 32 years. ⇒ Sum of age of 4 members = 32 × 4 = 128 Now, if the age of the guest is included, the average increases by 12.5%. Let the age of
Question : The preamble of the Indian constitution is borrowed from the constitution of______________.
Option 1: USSR (Present Russia )
Option 2: Canada
Option 3: Britain
Option 4: United States of America
Correct Answer: United States of America
Solution : The correct option is the United States of America.
The preamble of the Indian Constitution is not directly borrowed from any particular constitution. However, it does reflect the ideals and principles from various sources, including the United States Constitution, the French
Question : In a $\triangle P Q R, \angle P=90^{\circ}, \angle R=47^{\circ}$ and $P S \perp Q R$. Find the value of $\angle Q P S$.
Option 1: 43°
Option 2: 47°
Option 3: 45°
Option 4: 40°
Correct Answer: 47°
Solution :
In a $\triangle P Q R, $ $\angle P=90^{\circ}$ $\angle R=47^{\circ}$ $P S \perp Q R$ $\angle PSR = 90^{\circ}$ In $\triangle PSR, $ $\angle R + \angle PSR + \angle RPS = 180^{\circ}$ $47^{\circ} + 90^{\circ} + \angle RPS = 180^{\circ}$ $\angle RPS =
Question : The midpoints of sides AB and AC of the triangle ABC are, respectively, X and Y. If (BC + XY) = 12 units, then the value of (BC – XY) is:
Option 1: 2 units
Option 2: 6 units
Option 3: 8 units
Option 4: 4 units
Correct Answer: 4 units
Solution : Given: (BC + XY) = 12 units -- (1) Since A line joining the midpoints of two sides of a triangle is half of the third side and also parallel to it. So, XY = $\frac{1}{2}$×BC ⇒ BC = 2XY Putting the value of
Question : The following table displays the number of runs scored and balls played by five batsmen.
When calculating a batsman's strike rate, divide the number of runs scored by the number of balls played and multiply the result by 100. Which player has the highest strike rate?
Option 1: P
Option 2: Q
Option 3: S
Option 4: R
Correct Answer: P
Solution : Using the formula Strike rate = $\frac{\text{Number of runs scored}}{\text{Number of balls played}}$ × 100 According to the question Strike Rate for P = $\frac{70}{25}$×100 = 280 Strike Rate for Q = $\frac{80}{60}$×100 = 133.33 Strike Rate for R = $\frac{90}{50}$×100 = 180 Strike Rate
Question : Select the most appropriate synonym of the given word.
FLABBERGASTED
Option 1: disturbed
Option 2: motivated
Option 3: astonished
Option 4: terrified
Correct Answer: astonished
Solution : The correct choice is the third option.
Flabbergasted is the feeling of intense surprise or wonder.
Astonished is also used to describe a feeling of overwhelming surprise, making it the correct synonym for astonished.
The meanings of the other options are as follows:
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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