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22 Views

Question : What is the value of (22 + 1)(24+1)(28 + 1)(216 + 1) .........(2128 + 1)?

Option 1: $\frac{2^{256}-1}{2}$

Option 2: $\frac{2^{256}-1}{3}$

Option 3: $2^{256}-1$

Option 4: $\frac{2^{256}-1}{4}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{2^{256}-1}{3}$


Solution : $(2^2 + 1) (2^4 + 1) (2^8 + 1) (2^{16} + 1) ........ (2^{128} + 1)$
Divide by $(2^2 - 1)$ in numerator and denominator
= $\frac{1}{(2^2 - 1)}[(2^2 - 1)(2^2 + 1) (2^4 + 1) (2^8 + 1) (2^{16} + 1) ........ (2^{128} +

15 Views

Question : Select the INCORRECTLY spelt word.

Option 1: jumble

Option 2: jovial

Option 3: journy

Option 4: junior

Team Careers360 21st Jan, 2024

Correct Answer: journy


Solution : The third option is the correct answer.

The incorrectly spelled word is journy. 

The correct spelling is a journey, which refers to travelling from one place to another.

The meanings of the other options are as follows:

  • A jumble refers to a disorderly mixture or
13 Views

Question : Calculate the area of a sector of a circle with a radius of 10 metres and an angle of 90 degrees at the centre.

Option 1: 79.3 m2

Option 2: 79.5 m2

Option 3: 78.5 m2

Option 4: 75 m2

Team Careers360 23rd Jan, 2024

Correct Answer: 78.5 m2


Solution : Given $r$ = 10 m and $\theta$ = 90°
Area of a sector = $πr^2\times\frac{\theta}{360°}$
⇒ Area of the sector = $\frac{22}{7}\times 10^2\times \frac{90°}{360°}$
= $\frac{22}{7}\times 100\times \frac{1}{4}$
= 78.57 ≈ 78.5 m2
Hence, the correct answer is 78.5 m2.

25 Views

Question : If the diagonals of a rhombus are 10 cm and 24 cm, then what is the perimeter of the rhombus?

Option 1: 50 cm

Option 2: 60 cm

Option 3: 56 cm

Option 4: 52 cm

Team Careers360 19th Jan, 2024

Correct Answer: 52 cm


Solution :
In a rhombus, the diagonals bisect each other at right angles.
Therefore, we can form a right-angle triangle using half of each diagonal as the sides. 
Let the half diagonals as $a$ and $b$.
$⇒a = \frac{10}{2} = 5 \text{ cm}$
$⇒b = \frac{24}{2}

10 Views

Question : Study of field crops is called:

Option 1: Pomology

Option 2: Agronomy

Option 3: Olericulture

Option 4: Floriculture

Team Careers360 21st Jan, 2024

Correct Answer: Agronomy


Solution : The correct option is Agronomy.

The study of field crops is referred to as "agronomy." Agronomy is a discipline of agricultural science concerned with the production and management of crops such as grains, oilseeds, legumes, and forages. Agronomists research soil management, crop selection, planting techniques,

20 Views

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.

It is ____ that those who expect clemency from others are seldom merciful themselves.

Option 1: paradoxical

Option 2: strange

Option 3: stupid

Option 4: repulsive

Team Careers360 22nd Jan, 2024

Correct Answer: paradoxical


Solution : The first option is the correct choice.

Paradoxical means something that appears contradictory and fits perfectly in the sentence.

The meanings of the other options are:

  • Strange means something unusual.
  • Stupid means lacking judgement and intelligence.
  • Repulsive means something that causes strong feelings of disgust,
300 Views

Question : In a village election between three candidates, 80% of the voters cast their votes, out of which 3% votes were declared invalid. The winning candidate got 42680 votes which were 55% of the total valid votes. Find the number of valid votes received by the candidate who stood third, given that he received only 10% of the total valid votes.

Option 1: 7760

Option 2: 7700

Option 3: 7670

Option 4: 7680

Team Careers360 21st Jan, 2024

Correct Answer: 7760


Solution : The winning candidate got 42680 votes, which was 55% of the total valid votes.
The total valid votes = $\frac{42680}{0.55}$ = 77600 votes
The candidate who stood third received only 10% of the total valid votes.
The number of valid votes received by the third

8 Views

Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.

Option 1: KFBY

Option 2: TOKH

Option 3: ZUQO

Option 4: BWSP

Team Careers360 23rd Jan, 2024

Correct Answer: ZUQO


Solution : Let's check the options –
First option: KFBY→K – 5 = F; F – 4 = B; B – 3 = Y
Second option: TOKH→T – 5 = O; O – 4 = K; K – 3 = H
Third option: ZUQO→Z – 5 =

254 Views

Question : Select the most appropriate phrasal verb to fill in the blank.

The driver very subtly _____ the traffic violation he committed.

Option 1: ironed through

Option 2: ironed in

Option 3: ironed out

Option 4: ironed aside

Team Careers360 21st Jan, 2024

Correct Answer: ironed out


Solution : The correct phrasal verb is the third option.

Ironed out means to resolve or to find solutions, which is the intended meaning of the sentence; that is, the driver found the solutions very comfortably for the violations he committed.

The other options do not

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