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4 Views

Question : Standing in an open ground on a cloudless day, at what time will your shadow be the shortest?

Option 1: 09:00

Option 2: 07:00

Option 3: 15:00

Option 4: 12:00

Team Careers360 23rd Jan, 2024

Correct Answer: 12:00


Solution : The correct answer is 12:00.

Starting at sunrise and ending at dusk, the sun makes an arc in the sky, peaking at noon local time. The length of a shadow cast by an item varies with the sun's position in the sky. The sun's

10 Views

Question : Choose the word that can substitute the given group of words.

One who goes on foot

Option 1: Hypochondriac

Option 2: Vigilant

Option 3: Pedestrian

Option 4: Cynic

Team Careers360 23rd Jan, 2024

Correct Answer: Pedestrian


Solution : The correct choice is the third option.

A pedestrian is someone who walks rather than travels in a vehicle and is the correct choice.

The meanings of the other options are as follows:

  • A hypochondriac is a person who is abnormally anxious about his health.
17 Views

Question : If $a+\frac{1}{a}=5$, then what is the value of $a^3+\frac{1}{a^3} ?$

Option 1: 110

Option 2: 15

Option 3: 105

Option 4: –10

Team Careers360 24th Jan, 2024

Correct Answer: 110


Solution : Given, $a+\frac{1}{a}=5$
Cubing both sides,
$(a+\frac{1}{a})^3=125$
⇒ $a^3+\frac{1}{a^3}+3(a)(\frac{1}{a})(a+\frac{1}{a})=125$
⇒ $a^3+\frac{1}{a^3}+3(1)(5)=125$
⇒ $a^3+\frac{1}{a^3}=110$
Hence, the correct answer is 110.

12 Views

Question : Ancient Harappan site ‘Lothal’ was found in which state of India?

Option 1: Gujarat

Option 2: Rajasthan

Option 3: Maharashtra

Option 4: Madhya Pradesh

Team Careers360 25th Jan, 2024

Correct Answer: Gujarat


Solution : The correct option is Gujarat.

Gujarat is home to the ancient Harappan archaeological site of Lothal. Located on India's western coast, Gujarat is home to several significant archaeological finds from the Harappan civilization. Lothal was an important hub for trade and business in the days

18 Views

Question : Directions: A @ B means A is the husband of B.
A & B means A is the mother of B.
A # B means B is the daughter of A.
If G # H & I @ J & K, then how is H related to J?

Option 1: Mother

Option 2: Brother

Option 3: Sister

Option 4: Mother-in-law

Team Careers360 25th Jan, 2024

Correct Answer: Mother-in-law


Solution : Given:
A @ B ⇒ A is the husband of B
A & B ⇒ A is the mother of B
A # B ⇒ B is the daughter of A

As per the given information, the family tree will be as follows –

Here,

23 Views

Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.

14 23 97
22 41 167
31 24 ?

Option 1: 144

Option 2: 110

Option 3: 134

Option 4: 122

Team Careers360 24th Jan, 2024

Correct Answer: 134


Solution : Multiply the sum of the first and second numbers by 3 and then subtract the result from the first number –
Row I: {(14 + 23) × 3} – 14 = 111 – 14 = 97
Row II: {(22 + 41) × 3} – 22

12 Views

Question : The value of $\frac{(243)^\frac{n}{5}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$ is:

Option 1: 3

Option 2: 9

Option 3: 6

Option 4: 12

Team Careers360 23rd Jan, 2024

Correct Answer: 9


Solution : Given: $\frac{(243)^\frac{n}{5}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$
= $\frac{(3^5)^\frac{n}{5}\times 3^{2n+1}}{3^{2n}\times 3^{n-1}}$
= $\frac{3^n\times 3^{2n+1}}{3^{2n}\times 3^{n-1}}$
= $\frac{3^{3n+1}}{3^{3n-1}}$
= $\frac{3^{3n}×3^1}{3^{3n}×3^{-1}}$
= ${3^{2}}$
= $9$
Hence, the correct answer is 9.

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