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Question : A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.
Option 1: 2 : 3
Option 2: 3 : 1
Option 3: 1 : 3
Option 4: 3 : 2
Correct Answer: 3 : 1
Solution : The base area of the prism = Base area of the pyramid Height of prism = Height of pyramid Ratio of volumes of prism and pyramid = (Base area × height) : ($\frac{1}{3}$ × base area × height) = 3 : 1
Question : Select the most appropriate idiom for the underlined words in the given sentence.
He was alone and knew the dangers ahead during his journey, but he tried to keep up his confidence.
Option 1: whistled in the dark
Option 2: made a sterner stuff
Option 3: stepped up his game
Option 4: wouldn’t be caught dead
Correct Answer: whistled in the dark
Solution : The correct choice is the first option.
Explanation: Whistling in the dark means to act confidently or remain cheerful in a situation where one is fearful, uncertain, or facing danger. It's akin to putting on a brave face or pretending to be
Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series? CAM, DYL, EWK, FUJ, GSI, HQH, ?
Option 1: FOG
Option 2: IOF
Option 3: IJG
Option 4: IOG
Correct Answer: IOG
Solution : Given: CAM, DYL, EWK, FUJ, GSI, HQH, ?
In the above-given series, add 1 to the place value of the first letter, and subtract 2 and 1 from the place value of the second and third letters to obtain the next letter cluster. CAM→C +
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series, will complete the series. _ SSRS _ _ SS _ S _
Option 1: RRRSR
Option 2: RSRRS
Option 3: SRRSR
Option 4: RSSRR
Correct Answer: RSRRS
Solution : Given: _ SSRS _ _ SS _ S _
To fill the series, we have to divide the series – _ SS / RS _ / _ SS / _ S _ Let's check the options – First option: RRRSR; RSS / RSR
Question : The average age of 30 employees in an organisation is 25 years. If 2 new employees with an average age of 41 years join the organisation, then find the new average age of all the employees in the organisation.
Option 1: 26 years
Option 2: 25 years
Option 3: 23 years
Option 4: 24 years
Correct Answer: 26 years
Solution : The average age of 30 employees in an organisation = 25 years Sum of ages of 30 employees = 25 × 30 = 750 years The average age of 2 new employees = 41 years Sum of ages of 2 new employees = 2
Question : Select the most appropriate one word substitution for the given words.
A statement which cannot be contradicted
Option 1: Irresistible
Option 2: Irrefutable
Option 3: Irrational
Option 4: Irreparable
Correct Answer: Irrefutable
Solution : The second option is the correct choice.
Irrefutable specifically conveys the idea that the statement is impossible to deny or disprove. It captures the essence of a statement that is beyond contradiction or argument.
The meanings of other options are as follows:
Question : The value of $\cos \ 0°+\cos\ 1°+\cos\ 2°......\cos\ 180°$ is:
Option 1: $0$
Option 2: $1$
Option 3: $\frac{\sqrt3}{2}$
Option 4: $\frac{1}{2}$
Correct Answer: $0$
Solution : Given: $\cos 0°+\cos 1°+\cos 2°......\cos 180°$ We know the trigonometric identity, $\cos \theta+\cos (180°–\theta)=0$. $\cos 0°+\cos 1°+\cos 2°......\cos 180°= (\cos 0°+\cos 180°)+(\cos\ 1°+\cos 179°)......(\cos 89°+\cos 91°)+\cos\ 90°= 0$ Hence, the correct answer is $0$.
Question : Directions: Which two numbers should be interchanged to make the given equation correct? 63 ÷ 21 – 42 + 8 × 7 = 135
Option 1: 7 and 63
Option 2: 7 and 21
Option 3: 21 and 42
Option 4: 21 and 8
Correct Answer: 7 and 21
Solution : Given: 63 ÷ 21 – 42 + 8 × 7 = 135
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 7 and 63 = 7 ÷ 21 – 42 + 8
Question : Select the correct idiom that can substitute the italicised group of words in the given sentence.
You must not participate in the marathon this year without any training. It is an unreal hope on your part!
Option 1: carrying coal to new castle
Option 2: a pipe dream
Option 3: a will-o'-the-wisp
Option 4: to lose one's temper
Correct Answer: a pipe dream
Solution : The correct choice is the second option.
A pipe dream is an idiom that means an unrealistic or impractical hope or plan. In the sentence, the speaker is telling someone not to participate in a marathon without training because it's an unrealistic
Question : Select the most appropriate ANTONYM of the underlined word. It is undesirable to invest a part of your earnings for future use.
Option 1: advisable
Option 2: foolish
Option 3: unadvisable
Option 4: meek
Correct Answer: advisable
Solution : The correct option is the first option.
Explanation: Advisable means something that is recommended or considered wise to do. In the context of investing earnings for the future, it is generally recommended or advisable. So, "advisable" is the most suitable antonym, contrasting with "undesirable" in
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