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27 Views

Question : A hemispherical bowl has an internal radius of 6 cm. The internal surface area would be: (Take $\pi =3.14$)

Option 1: 225 cm2

Option 2: 400 cm2

Option 3: 289.75 cm2

Option 4: 226.08 cm2

Team Careers360 21st Jan, 2024

Correct Answer: 226.08 cm2


Solution : Given: Internal radius, $r$ = 6 cm.
Internal surface area of hemispherical bowl = $2\pi r^2$
= 2 × 3.14 × 6 × 6 = 226.08 cm2
Hence, the correct answer is 226.08 cm2.

16 Views

Question : If $\tan (\alpha+\beta)=\sqrt{3}, \tan (\alpha-\beta)=1$ where $(\alpha+\beta)$ and $(\alpha-\beta)$ are acute angles, then what is $\tan$ $(6 \alpha) ?$

Option 1: $-1$

Option 2: $0$

Option 3: $1$

Option 4: $\sqrt{2}-1$

Team Careers360 22nd Jan, 2024

Correct Answer: $-1$


Solution : Given:
$\tan (\alpha+\beta)=\sqrt{3}=\tan 60^{\circ}$
$\tan (\alpha-\beta)=1=\tan 45^{\circ}$
⇒ $\alpha+\beta=60^{\circ}$
and $\alpha-\beta=45^{\circ}$
⇒ $2\alpha=105^{\circ}$
⇒ $\alpha=\frac{105}{2}^{\circ}$
⇒ $6\alpha=6×\frac{105}{2}^{\circ}=315^{\circ}$
Now, $\tan 6\alpha$
= $\tan 315^{\circ}$
= $\tan (360^{\circ}-45^{\circ})$
= $-\tan45^{\circ}$
= $-1$
Hence, the correct answer is $-1$.

19 Views

Question : Directions: In a certain code language, heart black blue is written as 8 # ab, grey are blue is written as # pr kt. How will blue be written in that language?

Option 1: ab

Option 2: pr

Option 3: #

Option 4: 8

Team Careers360 23rd Jan, 2024

Correct Answer: #


Solution : Given:
1. heart black blue is written as 8 # ab;
2. grey are blue is written as # pr kt;
In statements 1 and 2, both have blue in common, and in coding # is common.

So, blue will be coded as

14 Views

Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols.
If + means ÷, ÷ means –, – means ×, × means +, then 24 + 8 ÷ 2 – 6 × 6 = ?

Option 1: –10

Option 2: –3

Option 3: 12

Option 4: 21

Team Careers360 24th Jan, 2024

Correct Answer: –3


Solution : Given:
+ means ÷, ÷ means –, – means ×, × means +.
24 + 8 ÷ 2 – 6 × 6 = ?

After interchanging the symbols according to the question, the equation becomes –
= 24 ÷ 8 – 2 × 6 +

61 Views

Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.

(A) between the two countries

(B) will inevitably count

(C) the recent political incident

(D) against the peace process

Option 1: CDBA

Option 2: CDAB

Option 3: CBAD

Option 4: CABD

Team Careers360 20th Jan, 2024

Correct Answer: CABD


Solution : The fourth option is the correct choice.

Part (C) tells about the recent political incident, followed by part (A), which specifies that it is between the two countries. It is followed by part (B), which says that it will inevitably count against the peace process,

12 Views

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

Option 1: Benefit

Option 2: Debt

Option 3: Payment

Option 4: Loss

Team Careers360 21st Jan, 2024

Correct Answer: Benefit


Solution : The correct option is the first option.

Explanation:
Benefit aligns closely with profit, as it refers to a gain or advantage obtained from something.

The meanings of the other options are as follows:

  • Debt: Money owed or something that is due.
  • Payment: A sum
11 Views

Question : "Agricultural census" is conducted in India at an interval of:

Option 1: six years

Option 2: five years

Option 3: four years

Option 4: ten years

Team Careers360 21st Jan, 2024

Correct Answer: five years


Solution : The correct option is five years.

The agricultural census in India is conducted at an interval of five years. This census provides comprehensive and detailed information on various aspects of agriculture, including land use, cropping patterns, irrigation and livestock, among others. The data

20 Views

Question : The famous Khajuraho Group of Monuments is in which state?

Option 1: Uttar Pradesh

Option 2: Madhya Pradesh

Option 3: Rajasthan

Option 4: Maharashtra

Team Careers360 24th Jan, 2024

Correct Answer: Madhya Pradesh


Solution : The correct option is Madhya Pradesh.

In Madhya Pradesh, Chhatarpur district, there are several Hindu and Jain temples collectively known as the Khajuraho Group of Monuments. It was constructed in the Middle Ages by the Chandela Dynasty. They are listed on the UNESCO World

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