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Question : If $4x^2-12x+k$ is a perfect square, then the value of $k$ is:
Option 1: 2
Option 2: 9
Option 3: 12
Option 4: 10
Correct Answer: 9
Solution : Given: $4x^2-12x+k$ is a perfect square. $4x^2-12x+k=(2x)^2-2×2x×3+k$ Since this a perfect, So, $(2x)^2-2×2x×3+k=(2x)^2-2×2x×3+3^2=(2x–3)^2$ Value of $k$ is 32 = 9 Hence, the correct answer is 9.
Question : Select the most appropriate meaning of the given idiom.
To eat crow
Option 1: To take great care
Option 2: To become non-vegetarian
Option 3: To take money back
Option 4: To admit that one is wrong
Correct Answer: To admit that one is wrong
Solution : The correct choice is the fourth option.
Explanation: To eat crow originated from a time when eating a crow (a scavenging bird) was considered a humiliating act. So, figuratively, it means admitting a mistake or being forced to accept
Question : Mr Dutta desired to deposit his retirement benefit of 3 lakh partly to a post office and partly to a bank at 10% and 6% simple interests respectively. If his monthly interest was Rs. 2,000, then the difference between his deposits in the post office and the bank was:
Option 1: Rs. 50,000
Option 2: Rs. 40,000
Option 3: Nil
Option 4: Rs. 1,00,000
Correct Answer: Nil
Solution : Let the amount deposited in the bank and post office be Rs. $x$ and Rs. $(300000-x)$ respectively. We know, interest = $\frac{PRT}{100}$, where $P$ is principal, and $R$ is the rate of interest per annum for $T$ years. So, Interest gained from a 10% interest
Question : Which among the following rocks may contain fossils of plants, animals and other microorganisms that once lived on them?
Option 1: Metamorphic rocks
Option 2: Intrusive igneous rocks
Option 3: Sedimentary rocks
Option 4: Extrusive igneous rocks
Correct Answer: Sedimentary rocks
Solution : The correct option is Sedimentary rocks.
The type of rock that may contain fossils of plants, animals, and other microorganisms that once lived on or in them is called sedimentary rock. Sedimentary rocks are formed from the accumulation and cementation of sediments, which
Question : A boat covers a distance of 72 km downstream in 6 hours, while it takes 12 hours to cover the same distance upstream. What is the speed of the boat in still water?
Option 1: 6 km/hr
Option 2: 9 km/hr
Option 3: 10 km/hr
Option 4: 8 km/hr
Correct Answer: 9 km/hr
Solution : The speed of the boat in still water can be calculated using the speeds of the boat downstream and upstream. $\text{Speed} = \frac{\text{Distance}}{\text{Time}}$ The speed of the boat downstream (with the current) is the distance divided by the time, which is $\frac{72 }{6 }$
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
When the train pulled in / at the station, it take / Joseph some time / to get off.
Option 1: When the train pulled in
Option 2: at the station, it take
Option 3: Joseph some time
Option 4: to get off.
Correct Answer: at the station, it take
Solution : The segment that contains a grammatical error is the second option.
Explanation: The error lies in the tense consistency as per zero conditional. The correct form should be "it took" instead of "it take". In this context, took is the correct
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
I'm so hungry I could eat lots of food.
Option 1: like a horse
Option 2: sour grapes
Option 3: a horse
Option 4: poison
Correct Answer: a horse
Solution : The third option is correct.
The phrase eat a horse is an idiom used to express an intense or voracious appetite. When someone says they can eat a horse, it means they are very hungry or can consume a significant amount of food,
Question : Given below are four sentences, three of which, are jumbled. Pick the option that gives the correct order.
A. The shelves in the library were filled with thick volumes: dictionaries, encyclopedias and other reference books. B. This shelf was quite high and out of his reach, so he had to fetch a ladder to pick a book that interested him. C. Ritesh found nothing that interested him, until he came to a small section on photography, which was one of his hobbies. D. Unfortunately, as he was climbing down the ladder, the book that he had chosen slipped from his hand and fell with a loud thud.
Option 1: ACBD
Option 2: ABCD
Option 3: ABDC
Option 4: ADBC
Correct Answer: ACBD
Solution : The correct choice is the first option.
The sequence begins with a general description of the library shelves filled with various books, establishing the setting in sentence A. It then shifts to Ritesh's search for an interesting book, leading to the discovery of a
Question : The side of an equilateral triangle is 12 cm. What is the radius of the circle circumscribing this equilateral triangle?
Option 1: $6 \sqrt{3}\ \text{cm}$
Option 2: $4\sqrt{3}\ \text{cm}$
Option 3: $9 \sqrt{3}\ \text{cm}$
Option 4: $5\sqrt{3}\ \text{cm}$
Correct Answer: $4\sqrt{3}\ \text{cm}$
Solution : Given: Side of the equilateral triangle = 12 cm We know that, The radius of a circle circumscribing in an equilateral triangle = $\frac{\text{side}}{\sqrt3}$ = $\frac{12}{\sqrt3}$ = $4\sqrt3\ \text{cm}$ Hence, the correct answer is $4\sqrt3\ \text{cm}$.
Question : Directions: In the given figure, how many papers are also hard?
Option 1: 14
Option 2: 23
Option 3: 37
Option 4: 32
Correct Answer: 23
Solution : In the below diagram, the shaded part represents papers that are also hard. The numbers of the asked fields that fall in the region of brown will also be counted as there is no direction given that the region belonging to brown can not be
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