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Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
Hearing those words / from his mouth, was / hard than I thought.
Option 1: hard than I thought.
Option 2: No error
Option 3: Hearing those words
Option 4: from his mouth, was
Correct Answer: hard than I thought.
Solution : The error lies in the first option.
Explanation: The correct comparative form of the adjective "hard" is "harder". In this context, a comparison is being made between the difficulty of hearing those words from his mouth and the speaker's initial perception.
Question : Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. If each side of the squares is 140 cm, then the area of the space enclosed between the circumference of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 4200 cm2
Option 2: 2100 cm2
Option 3: 7000 cm2
Option 4: 2800 cm2
Correct Answer: 4200 cm2
Solution : Given: Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. Each side of the squares is 140 cm. Each side of the square ($a$) = 140 cm The radius
Question : Study the given table and answer the question that follows. The table shows the number of students studying in 6 different classes at 6 different schools.
Which class has the maximum number of students from all schools together?
Option 1: X
Option 2: VII
Option 3: VI
Option 4: V
Correct Answer: VI
Solution : Number of students in class V = 917 Number of students in class VI = 924 Number of students in class VII = 904 Number of students in class VIII = 919 Number of students in class IX = 903 Number of students in class
Question : Study the given pie chart and table and answer the question that follows The pie chart shows the percentage distribution of age groups of visitors to a park in a month. The table shows the male and female distribution of the visitors in terms of the percentage.
If 2000 male visitors and 1500 female visitors were there in all, then the ratio of the number of male visitors in the age group 25-35 to the female visitors of the age group 45-60 is:
Option 1: 71 : 45
Option 2: 57 : 41
Option 3: 63 : 47
Option 4: 81 : 29
Correct Answer: 81 : 29
Solution : The total number of males and females in all age groups = 2000 + 1500 = 3500 The number of male visitors in the age group 25-35 years = 60% of 27% of 3500 = $\frac{60}{100}×\frac{27}{100}×3500=567$ The number of female visitors of the
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
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