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Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; Choose the correct alternative out of them as your answer.
I always fall ______ old friends in times of need.
Option 1: over
Option 2: through
Option 3: back on
Option 4: off
Correct Answer: back on
Solution : The correct choice is the third option.
Explanation: The phrase "fall back on" is a common expression that means to rely on or turn to something or someone for help or support in difficult times. In this context, it is used to indicate that
Question : If the volume of one brick is 0.0014 m3, how many bricks will be required to construct a wall of length 14 m, breadth 0.125 m, and height 5 m?
Option 1: 5250
Option 2: 3250
Option 3: 6250
Option 4: 4250
Correct Answer: 6250
Solution : Given: The volume of one brick is 0.0014 m3. The volume of a cuboid = Length × Width × Height Now, the volume of the wall = 14 × 0.125 × 5 = 8.75 m3 So, the required number of bricks =
Question : Directions: By interchanging the given two signs which of the following equations will be correct? + and –
Option 1: 7 – 5 × 3 + 24 ÷ 6 = 7
Option 2: 20 ÷ 4 – 5 × 6 + 3 = 32
Option 3: 4 + 5 × 2 – 9 ÷ 3 = 5
Option 4: 7 × 3 – 10 + 8 ÷ 2 = 29
Correct Answer: 20 ÷ 4 – 5 × 6 + 3 = 32
Solution : Given: + and –
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 7 – 5 × 3 + 24 ÷ 6 = 7
Question : Directions: Looking at a woman sitting next to him, Gaurav said, "She is the sister of the husband of my wife." How is the woman related to Gaurav?
Option 1: Daughter
Option 2: Mother
Option 3: Wife's sister
Option 4: Sister
Correct Answer: Sister
Solution : Following the instructions of the question, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, the woman is the sister of Gaurav. Hence, the fourth option is correct.
Question : The marked price of an article is 20% more than its cost price. What is the profit percent if a 5% discount is given on the marked price?
Option 1: 5
Option 2: 14
Option 3: 15
Option 4: 25
Correct Answer: 14
Solution : Let the cost price be Rs. 100. So, the marked price = (100 + 20) = Rs. 120 After a 5% discount the selling price = (120 – 120 × $\frac{5}{100}$) = Rs. 114 Therefore, the Profit percentage = $\frac{114-100}{100}×100$ = 14% Hence, the correct
Question : In the given sentence, one word may have been incorrectly spelt. Select the correctly spelt word from the given alternatives. If there is no error, select ‘No error’ as your answer.
Decades of enimity between Lomovs and Chubukovs came to an end with the marriage between the two families.
Option 1: enemity
Option 2: enmity
Option 3: anaemity
Option 4: No error
Correct Answer: enmity
Solution : The correct choice is the second option.
The correct spelling of this word is enmity. It refers to a state of deep-seated mutual hatred or animosity between individuals or groups. It signifies a hostile relationship or a long-standing feud.
Therefore, the correct sentence
Question : Select the most appropriate antonym of the given word. Genuine
Option 1: honest
Option 2: dubious
Option 3: authentic
Option 4: pure
Correct Answer: dubious
Explanation: The most suitable antonym for genuine is dubious. Dubious means doubtful or uncertain, contrasting with genuine, which implies authenticity and truthfulness. The meanings of the other options are as follows:
Question : Directions: By interchanging the given two signs which of the following equations will not be correct? – and ÷
Option 1: 20 × 8 – 4 ÷ 2 + 7 = 50
Option 2: 35 – 5 + 8 ÷ 4 × 3 = 3
Option 3: 10 + 8 × 6 – 4 ÷ 2 = 20
Option 4: 12 – 4 + 11 × 3 ÷ 8 = 28
Correct Answer: 20 × 8 – 4 ÷ 2 + 7 = 50
Solution : Let's check each option – First Option: 20 × 8 – 4 ÷ 2 + 7 = 50 On interchanging the mathematical signs, we get – 20 × 8 ÷ 4 – 2 + 7
Question : How many spherical balls of radius 6 cm can be made by melting a hemisphere of radius 24 cm?
Option 1: 64
Option 2: 96
Option 3: 32
Option 4: 24
Correct Answer: 32
Solution : Given: A spherical ball of radius 6 cm and a hemisphere of radius 24 cm. The volume of the sphere = $\frac{4}{3}\pi r^3$ The volume of the hemisphere = $\frac{2}{3}\pi r^3$, where $r$ is the radius. Let $x$ be the spherical balls made. According to
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 7 and 6
Option 1: 4 × 7 + 6 – 3 ÷ 1 = 20
Option 2: 8 × 7 + 5 ÷ 1 – 6 = 17
Option 3: 7 – 6 × 3 + 4 ÷ 1 = 8
Option 4: 7 × 2 – 6 + 4 ÷ 2 = 13
Correct Answer: 4 × 7 + 6 – 3 ÷ 1 = 20
Solution : Let's check the options – First option: 4 × 7 + 6 – 3 ÷ 1 = 20 On interchanging the given numbers and signs, the equation becomes – ⇒ 4 × 6 – 7
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