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Question : Directions: Which two signs should be interchanged to make the given equation correct?
588 ÷ 28 × 32 + 72 – 160 = 760

Option 1: – and +

Option 2: ÷ and –

Option 3: + and ×

Option 4: ÷ and +

Team Careers360 21st Jan, 2024

Correct Answer: – and +


Solution : Given:
588 ÷ 28 × 32 + 72 – 160 = 760

Interchange the mathematical signs given in the equation with the signs given in the options one by one –
First option: – and +
⇒ 588 ÷ 28 × 32 –

11 Views

Question : Select the correct active form of the given sentence.
AIDS will have been cured by the year 2070 by scientists.

Option 1: Scientists will have cured AIDS by the year 2070.

Option 2: Scientists cured AIDS by the year 2070.

Option 3: Scientists will cure AIDS by the year 2070.

Option 4: Scientists must have cured AIDS by the year 2070.

Team Careers360 24th Jan, 2024

Correct Answer: Scientists will have cured AIDS by the year 2070.


Solution : The correct choice is the first option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the

26 Views

Question : A 1.6 m tall observer is 45 metres away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in metres is: (Take$\sqrt{3}=1.732$)

Option 1: 25.98

Option 2: 26.58

Option 3: 27.58

Option 4: 27.98

Team Careers360 19th Jan, 2024

Correct Answer: 27.58


Solution :
AB = Height of observer = 1.6 m.
CD = Height of tower = $h$ m.
∴ DE = ($h$ – 1.6) m
BC = AE = 45 metres
$\angle$DAE = 30°
From $\triangle$DAE,
$\tan 30°=\frac{DE}{AE}$
⇒ $\frac{1}{\sqrt{3}}=\frac{h-1.6}{45}$
⇒ $h-1.6=15\sqrt{3}$
⇒ $h – 1.6 =

21 Views

Question : $\cos ^2 35^{\circ}+\cos 55^{\circ} \cdot \sin 35^{\circ}+\frac{\tan 34^{\circ}}{\cot 56^{\circ}}=$________.

Option 1: 2

Option 2: 3

Option 3: 4

Option 4: 1

Team Careers360 19th Jan, 2024

Correct Answer: 2


Solution : We know that $\sin \theta = \cos (90°-\theta)$
And, $\tan \theta = \cot (90°-\theta)$
So, $\cos ^2 35^{\circ}+\cos 55^{\circ} \cdot \sin 35^{\circ}+\frac{\tan 34^{\circ}}{\cot 56^{\circ}}$
= $\cos ^2 35^{\circ}+\cos (90^{\circ}-35^{\circ}) \cdot\sin 35^{\circ}+\frac{\tan(90^{\circ}- 56^{\circ})}{\cot 56^{\circ}}$
= $\cos ^2 35^{\circ}+\sin 35^{\circ} \cdot \sin 35^{\circ}+\frac{\cot 56^{\circ}}{\cot 56^{\circ}}$
= $\cos

63 Views

Question : Which of the following is the lowest ratio?

Option 1: 8 : 19

Option 2: 15 : 38

Option 3: 17 : 38

Option 4: 13 : 19

Team Careers360 20th Jan, 2024

Correct Answer: 15 : 38


Solution : Here, the LCM of the denominators of all the options is 38.
So, $\frac{8}{19} = \frac{8×2}{19\times 2}=\frac{16}{38}$
$ \frac{15}{38} $, $ \frac{17}{38}$
$ \frac{13}{19}= \frac{13×2}{19\times 2}=\frac{26}{38}$
$\therefore$ 15 : 38 is the lowest ratio.
Hence, the correct answer is 15 : 38.

20 Views

Question : The difference between the compound interest (compounding half-yearly) for 1 year and the simple interest for 1 year on a certain sum lent out at the annual rate of 10% is Rs, 25. What is the sum?

Option 1: Rs. 12000

Option 2: Rs. 6000

Option 3: Rs. 8000

Option 4: Rs. 10000

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 10000


Solution : Given,
Difference between compound interest and simple interest = Rs. 25,
Annual interest rate = 10%
We know,
Compound Interest for 1 year = $P[(1 + \frac{r}{100})^n- 1]$, where $r$ is the annual interest rate and $n$ is the number of compounding periods.
Simple

15 Views

Question : Directions: In the following question, correct the equation by interchanging two signs.
6 + 8 ÷ 4 – 4 = 8

Option 1: ÷ and =

Option 2: ÷ and +

Option 3: ÷ and –

Option 4: + and –

Team Careers360 24th Jan, 2024

Correct Answer: + and –


Solution : Given:
6 + 8 ÷ 4 – 4 = 8 

Let's check the options –
First option: ÷ and =
6 + 8 = 4 – 4 ÷ 8
LHS→6 + 8 = 14
RHS→4 – 4 ÷ 8
= 4 – 0.5 

41 Views

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

I confronted the journalist with the evidence.

Option 1: Resisted

Option 2: Avoided

Option 3: Challenged

Option 4: Encountered

Team Careers360 19th Jan, 2024

Correct Answer: Avoided


Solution : The correct choice is the second option.

Explanation: This is the correct antonym for confronted. Avoided means to stay away from or prevent contact or interaction with something while confronted means to face or deal with it directly.

The meanings of the other options are

15 Views

Question : What is the currency of Saudi Arabia ?

Option 1: Dinar

Option 2: Riyal

Option 3: Pound

Option 4: Lira

Team Careers360 22nd Jan, 2024

Correct Answer: Riyal


Solution : The correct answer is Riyal

The Saudi riyal, which is divided into 100 halala, is used as the currency of Saudi Arabia. The currency has a fixed exchange rate that is tied to the US dollar. By the end of this quarter, analysts and Trading

20 Views

Question : The immunisation technique was developed by

Option 1: Joseph Lister

Option 2: Louis Pasteur

Option 3: Edward jenner

Option 4: Robert Koch

Team Careers360 25th Jan, 2024

Correct Answer: Louis Pasteur


Solution : The correct option is Louis Pasteur.

The principles of vaccination, microbial fermentation, and pasteurisation, which bear his name, were discovered by French chemist and microbiologist Louis Pasteur. Through the creation of rabies and anthrax vaccines, Pasteur's work is credited with saving millions of

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