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22 Views

Question : If cos A = $\frac{5}{13}$, then what is the value of (tan A + cot A)?

Option 1: $\frac{60}{169}$

Option 2: $\frac{109}{169}$

Option 3: $\frac{169}{60}$

Option 4: $\frac{169}{109}$

Team Careers360 21st Jan, 2024

Correct Answer: $\frac{169}{60}$


Solution : Given that $\cos A = \frac{5}{13}$,
So, $\sin A = \sqrt{1 - \cos^2 A} = \sqrt{1 - \left(\frac{5}{13}\right)^2} = \frac{12}{13}$
$⇒\tan A = \frac{\sin A}{\cos A}$ and $\cot A = \frac{1}{\tan A}$
$⇒\tan A = \frac{\sin A}{\cos A} = \frac{12}{5}$
$⇒\cot A = \frac{1}{\tan A}

19 Views

Question : Select the correct passive form of the given sentence.
Did he do his mission?

Option 1: Was his mission done by him?

Option 2: Was his mission do by him?

Option 3: Was his mission being done by him?

Option 4: Had his mission been done by him?

Team Careers360 20th Jan, 2024

Correct Answer: Was his mission done by him?


Solution : The correct choice is the first option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the passive

15 Views

Question : What is the whole surface area of a cone with a base radius of 6 cm and height of 8 cm?

Option 1: 354.50 cm2

Option 2: 350.51 cm2

Option 3: 301.71 cm2

Option 4: 364.61 cm2

Team Careers360 19th Jan, 2024

Correct Answer: 301.71 cm2


Solution : Given:
Base, $r$ = 6 cm
Height = 8 cm
So, slant height, $l$ = $\sqrt{6^2+8^2}=10$
The surface area of a cone = $\pi r(r+l)$ = $\frac{22}{7}×6×(6+10)=\frac{2112}{7}=301.71$ cm2
Hence, the correct answer is 301.71 cm2.

34 Views

Question : Directions: Which two mathematical signs should be interchanged to make the given equation correct? (45 × 2) ÷ 15 – (6 × 3) + 10 – (63 ÷ 21) = 17

Option 1: ÷ and +

Option 2: × and –

Option 3: – and +

Option 4: ÷ and ×

Team Careers360 14th Jan, 2024

Correct Answer: – and +


Solution : Given:
(45 × 2) ÷ 15 – (6 × 3) + 10 – (63 ÷ 21) = 17

Replace the given symbols in the options one by one with the original symbols in the given equation.
First option: ÷ and +;
⇒(45 ×

35 Views

Question : Directions: In a certain code language, LORD is written as 5409, MODE is written as 4685, LOAD is written as 5047. What is M written in that code language?

Option 1: 5

Option 2: 6

Option 3: 4

Option 4: 7

Team Careers360 16th Jan, 2024

Correct Answer: 6


Solution : Given:
1. LORD ⇒ 5409
2. MODE ⇒ 4685
3. LOAD ⇒ 5047

By comparing all the above-coded letters, we find that –
In words 1 and 2, and D are common letters and 4 and 5 are common codes.
The remaining letters and

12 Views

Question : Directions: Select the related letter cluster from the given alternatives.
DHL : PTX :: BFJ : ?

Option 1: NRV

Option 2: RVZ

Option 3: CGK

Option 4: KOS

Team Careers360 19th Jan, 2024

Correct Answer: NRV


Solution : Given:
DHL : PTX :: BFJ : ?

Add 12 to the place value of each letter of DHL to obtain the required code –
D + 12 = P; H + 12 = T; L + 12 = X
Thus, DHL is related to

15 Views

Question : India's share in total global trade in value terms as of 2023 is:

Option 1: less than 1% but more than 1/2%

Option 2: more than 2%

Option 3: less than 1/2%

Option 4: between 1% and 2%

Team Careers360 14th Jan, 2024

Correct Answer: more than 2%


Solution : The correct option is between 1% and 2%.

The percentage of goods exported from India to the rest of the world in 2021 was around 1.77%. 

India’s total foreign trade in this calendar year crossed the $1 trillion mark in November. India

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