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11 Views

Question : Select the most appropriate ANTONYM of the underlined word in the given sentence.

Due to the weather forecast that it is going to rain heavily here, all the arrangements are in turmoil.

Option 1: Peace

Option 2: Commotion

Option 3: Fuss

Option 4: Uproar

Team Careers360 21st Jan, 2024

Correct Answer: Peace


Solution : The first option is the correct answer.

The most appropriate antonym for the underlined word turmoil in the given sentence is peace because turmoil refers to a state of disturbance, chaos, or confusion while peace means a state of tranquillity, calmness, and freedom from disturbance

9 Views

Question : Find the value of $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$.

Option 1: $\frac{1}{\sqrt{3}}$

Option 2: $\frac{1}{1-\sqrt{3}}$

Option 3: $\frac{\sqrt{3}}{2}$

Option 4: $\frac{2}{\sqrt{3}}$

Team Careers360 19th Jan, 2024

Correct Answer: $\frac{\sqrt{3}}{2}$


Solution : $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$
= $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{1}$
= $\cos (2×15)^{\circ}$ (Since $\cos^2A-\sin^2A=\cos2A$)
= $\cos 30^{\circ}$ 
= $\frac{\sqrt 3}2$
Hence, the correct answer is $\frac{\sqrt 3}2$.

44 Views

Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term.
EFH : BJI :: OPQ : ?

Option 1: MRT

Option 2: LUR

Option 3: LTR

Option 4: MRS

Team Careers360 20th Jan, 2024

Correct Answer: LTR


Solution : Given
EFH : BJI :: OPQ : ?

Subtract 3 from the place value of the first letter and add 4 and 1 to the place value of the second and third letters respectively of EFH to obtain the required code –
E – 3

11 Views

Question : If $\cos (A-B)=\frac{\sqrt{3}}{2}$, and $\cos (A+B)=0$, where $A$ and $B$ are positive acute angles and $A \geq B$, then the measures of $A$ and $B$ are:

Option 1: 80° and 10°

Option 2: 60° and 30°

Option 3: 70° and 20°

Option 4: 50° and 40°

Team Careers360 24th Jan, 2024

Correct Answer: 60° and 30°


Solution : Given, $\cos (A-B)=\frac{\sqrt{3}}{2}$ and $\cos (A+B)=0$
Since $A$ and $B$ are acute positive angles,
$\cos (A-B)=\frac{\sqrt{3}}{2}$
⇒ $(A-B) = \cos^{-1} \frac{\sqrt{3}}{2}$
⇒ $(A-B) = 30°$ ------------------ (1)
$\cos (A+B)=0$
⇒ $(A+B) = \cos^{-1} 0$
⇒ $(A+B) = 90°$ --------------------- (2)
Solving (1) and

12 Views

Question : Directions: Which of the following words will come in the fourth position, if arranged according to the English dictionary?

Option 1: Reef

Option 2: Ready

Option 3: Rainbow

Option 4: Rain

Team Careers360 22nd Jan, 2024

Correct Answer: Reef


Solution : Given:
Reef, Ready, Rainbow, Rain

Step 1: Compare the first letter of each word. Since all the words start with the same letter R, then move on to the next letter.
Step 2: The second letter of the words is either a or e

12 Views

Question : A sum of Rs. 21850 amounts to Rs. 28623.50 in 5 years at the rate of simple interest. The rate percent is:

Option 1: 7.2% p.a.

Option 2: 4.8% p.a.

Option 3: 6.2% p.a.

Option 4: 6.8% p.a.

Team Careers360 21st Jan, 2024

Correct Answer: 6.2% p.a.


Solution : Given: Principal = Rs. 21850
Simple interest = Amount – Principal = Rs. 28623.50 – 21850 = 6773.5
Time = 5 years
Rate = to find
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ $6773.5=\frac{21850 × \text{Rate} × 5}{100}$
⇒ Rate = $\frac{6773.5\times100}{21850

3 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bold part of the sentence. In case no improvement is needed, select "No Improvement."

Manoj is so credible that he immediately believed my story.

(1) creditable

(2) credulous

(3) innocent

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 24th Jan, 2024

Correct Answer: (2)


Solution : The sentence can be improved using the second option "credulous".

The word "credulous" means "ready to believe too easily". In this sentence, it is used to describe Manoj's tendency to believe everything he is told, even if it is not true.

The meanings of the

11 Views

Question : What is the value of $17 ÷ 34 + 2 × 12 ÷ 6 - 5 × 3 ÷ 6$?

Option 1: 2

Option 2: 3

Option 3: 4.5

Option 4: 3.5

Team Careers360 21st Jan, 2024

Correct Answer: 2


Solution : $17 ÷ 34 + 2 × 12 ÷ 6 - 5 × 3 ÷ 6$
$=\frac{1}{2} + 2 × 2 - 5 × \frac{1}{2}$
$=\frac{1}{2} + 4 - \frac{5}{2}$
$=\frac{9}{2} - \frac{5}{2}$
$=\frac{4}{2}$
$= 2$
Hence, the correct answer is 2.

14 Views

Question : Development of an egg without fertilization is called

Option 1: Gametogenesis

Option 2: Parthenogenesis

Option 3: Oogenesis

Option 4: Metamorphosis

Team Careers360 22nd Jan, 2024

Correct Answer: Parthenogenesis


Solution : The correct option is Parthenogenesis

The process of developing an egg without fertilisation is known as "parthenogenesis." Parthenogenesis is a type of asexual reproduction in which an egg develops and grows into an embryo without the help of a male gamete (sperm). This mechanism has

44 Views

Question : The average of 5 consecutive integers starting with 'm' is n. What is the average of 6 consecutive integers starting with (m + 2)?

Option 1: $\frac{2n+5}{2}$

Option 2: $(n+2)$

Option 3: $(n+3)$

Option 4: $\frac{2n+9}{2}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{2n+5}{2}$


Solution : Average of 5 consecutive integers starting with 'm' = n
Let m, m + 1, m + 2, m + 3, m + 4 be the 5 consecutive integers.
Average of 5 consecutive integers = middle term
$n$ = m + 2---------------------------------(i)
Then 6 consecutive

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