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44 Views

Question : The length of each side of a triangle is 12 cm. What is the length of the circumradius of the triangle?

Option 1: $8 \sqrt{3} \mathrm{~cm}$

Option 2: $2 \sqrt{3} \mathrm{~cm}$

Option 3: $6 \sqrt{3} \mathrm{~cm}$

Option 4: $4 \sqrt{3} \mathrm{~cm}$

Team Careers360 18th Jan, 2024

Correct Answer: $4 \sqrt{3} \mathrm{~cm}$


Solution : The length of each side of a triangle is 12 cm.
So, it is an equilateral triangle.
$\therefore$ Circumradius of a equilateral triangle $= \frac{\text{Side Length}}{\sqrt{3}} = \frac{12}{\sqrt{3}}= 4\sqrt{3} \mathrm{~cm}$
Hence, the correct answer is $4\sqrt{3} \mathrm{~cm}$.

18 Views

Question : Select the most appropriate synonym of the given word.
Haphazard

Option 1: Random

Option 2: Sociable

Option 3: Aggressive

Option 4: Confident

Team Careers360 18th Jan, 2024

Correct Answer: Random


Solution : The correct choice is the first option.

Explanation: Random is an appropriate synonym for haphazard because both of the words convey the idea of lacking a systematic or organised approach. They both suggest a lack of planning or order in the arrangement or occurrence

9 Views

Question : Directions: In the following question, find the odd letter cluster from the given alternatives.

Option 1: ACEG

Option 2: IKMO

Option 3: FHJL

Option 4: TUWY

Team Careers360 20th Jan, 2024

Correct Answer: TUWY


Solution : Let's check the options –
First option: ACEG; A + 2 = C; C + 2 = E; E + 2 = G
Second option: IKMO; I + 2 = K; K + 2 = M; M + 2 = O
Third option: FHJL; F

81 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
LMN_LMN_LM_NL_MMNN

Option 1: LMLM

Option 2: LLML

Option 3: LMNL

Option 4: LLLM

Team Careers360 20th Jan, 2024

Correct Answer: LLML


Solution : Given:
LMN_LMN_LM_NL_MMNN

To fill the series we have to divide the series – LMN / _LMN / _LM_N / L_MMNN
Let's check each option –
First option: LMLM; LMN / LLMN / MLMLN / LMMMNN (No pattern has been

14 Views

Question : What is the value of $\frac{(0.5)^{3}-(0.1)^{3}}{(0.5)^{2}+0.5\times 0.1+(0.1)^{2}}$?

Option 1: $0.1$

Option 2: $0.4$

Option 3: $0.5$

Option 4: $0.6$

Team Careers360 23rd Jan, 2024

Correct Answer: $0.4$


Solution : Given: $\frac{(0.5)^{3}-(0.1)^{3}}{(0.5)^{2}+0.5\times 0.1+(0.1)^{2}}$
By using the identity: $a^3-b^3=(a-b)(a^2+ab+b^2)$, the above expression can be written as:
$\frac{(0.5-0.1)(0.5^{2}+0.5\times 0.1+0.1^{2})}{(0.5)^{2}+0.5\times 0.1+(0.1)^{2}}$
= $0.5-0.1$
= $0.4$
Hence, the correct answer is $0.4$.

17 Views

Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
96, 90, 78, 60, (?)

Option 1: 36

Option 2: 40

Option 3: 44

Option 4: 48

Team Careers360 15th Jan, 2024

Correct Answer: 36


Solution : Given:
96, 90, 78, 60, (?)

Subtract the consecutive multiples of 6 from each term to obtain the next term in the series.
96 – (6 × 1) = 96 – 6 = 90
90 – (6 × 2) = 90 – 12 = 78

79 Views

Question : A can do 20% of a job in 7 days and B can do 25% of the job in 7 days if they worked alone. How much of the job (in percentage) can they complete in 7 days if they worked together?

Option 1: 38%

Option 2: 52%

Option 3: 56%

Option 4: 45%

Team Careers360 24th Jan, 2024

Correct Answer: 45%


Solution : Given:
A can do 20% of a job in 7 days.
B can do 25% of the job in 7 days.
So, in 7 days, both A and B together will finish $45$% of the work.
Hence, the correct answer is 45%.

14 Views

Question : Directions: In the following question, find the odd number pair from the given alternatives.

Option 1: 52 – 61 

Option 2: 72 – 81 

Option 3: 54 – 63 

Option 4: 33 – 41 

Team Careers360 21st Jan, 2024

Correct Answer: 33 – 41 


Solution : Let's check the options —
First option: 52 – 61→61 – 52 = 9
Second option: 72 – 81→81 – 72 = 9
Third option: 54 – 63→63 – 54 = 9
Fourth option: 33 – 41→41 – 33 = 8

So, the

33 Views

Question : Choose the word that can substitute for the given group of words.
One who feeds on plants only

Option 1: Vermivorous

Option 2: Carnivorous

Option 3: Omnivorous

Option 4: Herbivorous

Team Careers360 23rd Jan, 2024

Correct Answer: Herbivorous


Solution : The correct choice is the fourth option.

The word that can substitute for the given group of words "one who feeds on plants only" is herbivorous.

Examples of herbivorous animals include cows, horses, and rabbits.

The meanings of the other options are as

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