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Question : Select the correct passive voice form for the given sentence.
Rashi was writing a letter to her husband.
Option 1: A letter was being written by Rashi to her husband.
Option 2: A letter were being written by Rashi to her husband.
Option 3: A letter was been written by Rashi to her husband.
Option 4: A letter were been written by Rashi to her husband.
Correct Answer: A letter was being written by Rashi to her husband.
Solution : The correct choice is the first option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes
Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$; then what is the value of $x+\frac{1}{x}$?
Option 1: $2$
Option 2: $\frac{\sqrt{15}}{2}$
Option 3: $\sqrt{5}$
Option 4: $\sqrt{3}$
Correct Answer: $\frac{\sqrt{15}}{2}$
Solution : Given: $x^2+\frac{1}{x^2}=\frac{7}{4}$ $⇒x^2+\frac{1}{x^2}+2=\frac{7}{4}+2$ [adding 2 on both sides] $⇒x^2+\frac{1}{x^2}+2×x^2×\frac{1}{x^2}=\frac{15}{4}$ $⇒(x+\frac{1}{x})^2=\frac{15}{4}$ $\therefore (x+\frac{1}{x})=\frac{\sqrt{15}}{2}$ Hence, the correct answer is $\frac{\sqrt{15}}{2}$.
Question : If the altitude of a triangle is 8 cm and its corresponding base is 12 cm, then the area of the triangle will be:
Option 1: 96 cm2
Option 2: 48 cm2
Option 3: 84 cm2
Option 4: 24 cm2
Correct Answer: 48 cm2
Solution : The area of a triangle, $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$ Given that the base of the triangle is 12 cm and the height (or the altitude) is 8 cm. $\text{Area} = \frac{1}{2} \times 12 \, \text{cm} \times 8 \, \text{cm} =
Question : Directions: By interchanging the two signs which of the following equations will not be correct? + and × I.15 + 5 ÷ 1 – 9 × 4 = 70 II.18 × 17 + 3 – 6 ÷ 2 = 133
Option 1: Neither I nor II
Option 2: Only II
Option 3: Both I and II
Option 4: Only I
Correct Answer: Only II
Solution : Given: + and × are interchanged. I.15 + 5 ÷ 1 – 9 × 4 = 70 II.18 × 17 + 3 – 6 ÷ 2 = 133
After interchanging the symbols the equation becomes – I.15 × 5 ÷ 1 – 9 +
Question : An article is listed at Rs. 2375. A man purchases it at two successive discounts of 50% and 25% and spends Rs. 165 on the repair of the article. If he sells the article at a profit of 62.5%, what is the selling price (in rupees) of the article?
Option 1: 1467.6
Option 2: 1492.6
Option 3: 1715.39
Option 4: 1460.6
Correct Answer: 1715.39
Solution : Marked price = Rs. 2375 Price after two successive discounts of 50% and 25% = Rs. 2375 × $\frac{50}{100}$×$\frac{75}{100}$ = Rs. 890.625 Amount spent on the repair of the article = Rs. 165 So, cost price = Rs. 890.625 + Rs.165 = Rs. 1055.625 Profit
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. I went on (1) _____ trying to 'find out how to'; but I wrote two or three novels without feeling that I had made (2) _____ progress. It was not until I wrote 'Ethan Frome' that I suddenly felt the artisan's full (3) _____ of his implements. When 'Ethan Frome' first appeared, I was (4) _____ criticised by the reviewers for what was considered the clumsy structure of the tale. I had pondered long on this structure, had felt its peculiar difficulties, and possible awkwardness, but could think of no (5) _____ which would serve as well in the given case: and though I am far from thinking 'Ethan Frome' is my best novel, and am bored and even exasperated when I am told that it is, I am still sure that its structure is not its weak point.
Question:
Select the most appropriate option to fill in the blank no. 2.
Option 1: no sooner
Option 2: barely
Option 3: much
Option 4: so
Correct Answer: much
Solution : The correct alternative is the third option.
It indicates that the writer wrote two or three novels without feeling that they had made a significant amount of progress, which aligns with the writer's sentiment in the passage.
Question : Select the most appropriate ANTONYM of the given word. Profane
Option 1: Perverse
Option 2: Immaterial
Option 3: Divine
Option 4: Barnyard
Correct Answer: Divine
Solution : The correct answer is the third option.
The word "profane" refers to showing disrespect or contempt for sacred things, especially religious beliefs or practices. The antonym "divine" represents qualities associated with the divine or sacred, often relating to God or a higher power.
The meanings
Question : Select the INCORRECT formula from the following options.
Option 1: $\operatorname{cosec}^2 \theta-\cot ^2 \theta=1$
Option 2: $\sin ^2 \theta+\cos ^2 \theta=1$
Option 3: $\sec ^2 \theta+\cos ^2 \theta=1$
Option 4: $\sec ^2 \theta-\tan ^2 \theta=1$
Correct Answer: $\sec ^2 \theta+\cos ^2 \theta=1$
Solution : $\sec^2 \theta = \frac{1}{\cos^2 \theta}$ But, $\sec ^2 \theta+\cos ^2 \theta\neq1$ Hence, the correct answer is $\sec ^2 \theta+\cos ^2 \theta=1$.
Question : AJEYA WARRIOR-2020 is a joint military exercise between India and ______.
Option 1: Thailand
Option 2: South Korea
Option 3: UK
Option 4: USA
Correct Answer: UK
Solution : The correct answer is the UK.
AJEYA WARRIOR-2020 is a joint military exercise between India and the United Kingdom. It is a bilateral military exercise in which both nations' military forces take part. The 7th edition of this exercise took place in April-May 2023. Konkan
Question : $(113^2+ 115^2 + 117^2- 113×115 - 115×117 -117×113)$ is equal:
Option 1: 0
Option 2: 4
Option 3: 8
Option 4: 12
Correct Answer: 12
Solution : Use the formula: $a^2 + b^2 + c^2 - ab - bc - ca = \frac{1}{2}((a-b)^2 + (b-c)^2 + (c-a)^2)$ Now, $(113^2+ 115^2 + 117^2- 113×115 - 115×117 -117×113)$ $=\frac{1}{2}[(113-115)^2 + (115-117)^2 + (117-113)^2]$ $=\frac{1}{2}[(-2)^2 + (-2)^2 + (4)^2]$ $=\frac{1}{2}(4 + 4 + 16)$ $=\frac{1}{2}(24)$
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