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17 Views

Question : The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/h is:

Option 1: $600$

Option 2: $600(\sqrt{3}+1)$

Option 3: $600\sqrt{3}$

Option 4: $600(\sqrt{3}–1)$

Team Careers360 22nd Jan, 2024

Correct Answer: $600(\sqrt{3}–1)$


Solution : Let the vertical height be $h$ and horizontal distance be $B_{1}$ when the elevation is 45° and $B_{2}$ when the elevation is 30°.

Using trigonometry ratio, when elevation is 45°.
$\tan\theta =\frac{\text{Height}}{\text{Distance}}$
⇒ $\tan45° = \frac{h}{B_{1}}$
⇒ $1 = \frac{h}{B_{1}}$
⇒ $B_{1} = h$
Using

12 Views

Question : Which of the following is measured in its SI-derived unit called Tesla?

Option 1: Magnetic flux density

Option 2: Luminous flux

Option 3: Capacitance

Option 4: Illuminance

Team Careers360 20th Jan, 2024

Correct Answer: Magnetic flux density


Solution : The correct option is Magnetic flux density.

Magnetic flux density is the physical quantity that is measured in its SI-derived unit, the Tesla. In the International System of Units (SI), the magnetic flux density is measured in Tesla (symbol: T). It bears

70 Views

Question : Select the most appropriate ANTONYM of the underlined word.

The manager decided to resign from his post as the bank was declared to be insolvent.

Option 1: Independent

Option 2: Commercial

Option 3: Affluent

Option 4: Bankrupt

Team Careers360 25th Jan, 2024

Correct Answer: Affluent


Solution : The correct choice is the third option.

Explanation:

The word insolvent describes a situation where an individual or organisation is unable to meet financial obligations and is, in essence, bankrupt. To find the antonym, we look for a word that indicates financial prosperity or wealth.

13 Views

Question : A merchant purchases a wristwatch for Rs. 450 and fixes its list price in such a way that, after allowing a discount of 10%, he earns a profit of 20%. Find the list price of the watch.

Option 1: Rs. 480

Option 2: Rs. 450

Option 3: Rs. 600

Option 4: Rs. 540

Team Careers360 23rd Jan, 2024

Correct Answer: Rs. 600


Solution : Cost price of the watch = Rs. 450
Profit percentage = 20%
The selling price of the watch = cost price + profit
= $450 + 20$% of $450$
= $450 + \frac{20 × 450}{100}$
= $450+\frac{9000}{100}$
= $450 + 90$
= $540$
Discount

40 Views

Question : Identify the segment in the sentence which contains a grammatical error.

She is not as smart as I think at first.

Option 1: I think

Option 2: She is not

Option 3: as smart as

Option 4: at first

Team Careers360 20th Jan, 2024

Correct Answer: I think


Solution : The correct choice is the first option.

The past tense thought should be used because it refers to a past action. The speaker is reflecting on their past thoughts or impressions about the person's intelligence. The past tense thought helps to convey the

16 Views

Question : Bhopal gas tragedy is associated with the leakage of

Option 1: carbon dioxide

Option 2: Nitrogen dioxide

Option 3: Sulphur dioxide

Option 4: Methyl isocyanate

Team Careers360 21st Jan, 2024

Correct Answer: Methyl isocyanate


Solution : The correct answer is Methyl isocyanate.

Methyl isocyanate is a flammable gas which is used in pesticide production. It readily forms vapours when exposed to air. It is a highly poisonous gas. On December 3, 1984, more than 40 tons of Methyl isocyanate gas

26 Views

Question : Directions: In each of the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
ab_dda_ccd_bb_d_

Option 1: ccaac

Option 2: cbaca

Option 3: cbcba

Option 4: cbbcd

Team Careers360 20th Jan, 2024

Correct Answer: cbaca


Solution : Given:
ab_dda_ccd_bb_d_

To fill the series we have to divide the series – ab_d / da_c / cd_b / b_d_
Let's check the options –
First option: ccaac; abcd / dacc / cdab / badc (No

19 Views

Question : What is the difference between a discount of 35% and two successive discounts of 30% and 5% on a bill of INR 10,00,000?

Option 1: INR 15,500

Option 2: INR 15,000

Option 3: INR 14,000

Option 4: INR 16,500

Team Careers360 22nd Jan, 2024

Correct Answer: INR 15,000


Solution : First discount = 35%
Successive discounts = 30% and 5%
Effective discount = 30 + 5 – $\frac{30 ×5}{100}$ = 35 – 1.5 = 33.5%
Required difference = (35 – 33.5)% of 10,00,000 = $\frac{1.5}{100}×10,00,000$ = 15,000
Hence, the correct answer is INR 15,000.

17 Views

Question : $\Delta ABC$ and $\Delta DEF$ are two similar triangles and the perimeters of $\Delta ABC$ and $\Delta DEF$ are 90 cm and 54 cm respectively. If the length of DE = 36 cm, then the length of AB is: 

Option 1: 60 cm

Option 2: 40 cm

Option 3: 45 cm

Option 4: 50 cm

Team Careers360 25th Jan, 2024

Correct Answer: 60 cm


Solution : The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides. 
$\frac{{AB}}{DE} = \frac{\text{Perimeter of $\Delta ABC$}}{\text{Perimeter of $\Delta DEF$}}$
⇒ $\frac{AB}{36\;cm} = \frac{90\;cm}{54\;cm}$
⇒ AB = 60 cm 
Hence, the correct answer is 60 cm.

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