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15 Views

Question : If in acute-angled triangle ABC, AL, BM, and CN are the three altitudes of triangle ABC, then which of the following statements will be true?

Option 1: AL + BM + CN = AB + BC + CA

Option 2: AL + BM = AB + BC

Option 3: AL + BM + CN > AB + BC + CA

Option 4: AL + BM + CN < AB + BC + CA

Team Careers360 18th Jan, 2024

Correct Answer: AL + BM + CN < AB + BC + CA


Solution :

We know the theorem states that the sum of three altitudes of a triangle is less than the sum of three sides of the triangle. The altitudes form right angles with the opposite sides of

23 Views

Question : The tomb of Itimad-ud-Daulah inlaid with Pietra dura decoration, is located at:

Option 1: Aurangabad

Option 2: Agra

Option 3: Ajmer

Option 4: Alwar

Team Careers360 25th Jan, 2024

Correct Answer: Agra


Solution : The correct answer is Agra

Itimad-ud-Daulah's tomb is situated in Agra, beside the Yamuna River's banks. The Mughal queen Noor Jahan, who was Emperor Jahangir's wife, constructed it. Many people consider Itimad-ud-Daulah's tomb to be an early version of the Taj Mahal. It is renowned

217 Views

Question : A number is first increased by 8% and then decreased by 3% to get 2619. What is 5% of that number?

Option 1: 125

Option 2: 135

Option 3: 130

Option 4: 140

Team Careers360 15th Jan, 2024

Correct Answer: 125


Solution : Let the number be $x$.
The number first increased by 8%, then decreased by 3%.
According to the question,
$x×\frac{108}{100}×\frac{97}{100}=2619$
$⇒x=2500$
Now, 5% of $x$ = $2500×\frac{5}{100}=125$
Hence, the correct answer is 125.

12 Views

Question : The temperature of boiling water in a steam engine may be high because:

Option 1: there are dissolved substances in water

Option 2: there is low pressure inside the boiler

Option 3: there is high pressure inside the boiler

Option 4: the fire is at very high temperature

Team Careers360 20th Jan, 2024

Correct Answer: there is high pressure inside the boiler


Solution : The correct option is there is high pressure inside the boiler.

Due to the high pressure inside the boiler in a steam engine, boiling water has a high temperature. High pressure allows water to reach higher temperatures before boiling.

294 Views

Question : Select the correct idiom that can substitute the italicised group of words in the given sentence.
He really stinks and smells foul after a hard session at the gym.

Option 1: an old flame

Option 2: an iron will

Option 3: pen and ink

Option 4: lame excuse

Team Careers360 20th Jan, 2024

Correct Answer: pen and ink


Solution : The correct choice is the third option.

The idiom pen and ink is a rhyming slang for "stink", and it's often used informally to describe a foul or unpleasant odour. In the given sentence, the context is about someone smelling foul after a

23 Views

Question : Which of the following waves has the highest frequency?

Option 1: Radio

Option 2: Infrared

Option 3: Microwaves

Option 4: Gamma-rays

Team Careers360 15th Jan, 2024

Correct Answer: Gamma-rays


Solution : The correct option is Gamma rays.

Gamma rays possess the highest frequency within the spectrum of electromagnetic radiation.They fall under the category of ionizing radiation, signifying that they carry sufficient energy to liberate tightly bound electrons from atoms, potentially causing detrimental effects on living

30 Views

Question : Directions: Which two signs should be interchanged to make the given equation correct?
912 – 456 × 28 + 390 ÷ 2 = 444

Option 1: ÷ and –

Option 2: ÷ and +

Option 3: – and +

Option 4: + and ×

Team Careers360 21st Jan, 2024

Correct Answer: ÷ and –


Solution : Given:
912 – 456 × 28 + 390 ÷ 2 = 444

Replace the given symbols in the options one by one with the original symbols in the given equation and apply the BODMAS rule.
First option: ÷ and –
= 912 ÷

31 Views

Question : Two points A and B are on the ground and on opposite sides of a tower. A is closer to the foot of the tower by 42 m than B. If the angles of elevation of the top of the tower, as observed from A and B are 60° and 45°, respectively, then the height of the tower is closest to:

Option 1: 87.6 m

Option 2: 98.6 m

Option 3: 88.2 m

Option 4: 99.4 m

Team Careers360 21st Jan, 2024

Correct Answer: 99.4 m


Solution :
PQ is a tower and let AQ be $x$ m and BQ = $x + 42$
In $\triangle APQ$
$\tan 60° = \frac{PQ}{AQ}$
⇒ $\sqrt3 = \frac{PQ}{x}$
⇒ $PQ = \sqrt3 x$.....................................(1)
In $\triangle PBQ$
$\tan 45° = \frac{PQ}{QB}$
⇒ $1 = \frac{PQ}{x +

22 Views

Question : The soil conservation method in which mountain slope is cut into step is 

Option 1: Contour ploughing

Option 2: Cover planting

Option 3: Strip cropping

Option 4: Terracing

Team Careers360 13th Jan, 2024

Correct Answer: Terracing


Solution : The correct option is Terracing.

Terracing, a land management strategy that involves the development of level or slightly sloping platforms on steep terrain, has numerous significant advantages. By reducing water flow and conserving important topsoil, it effectively reduces soil erosion. These flat or moderately sloping

15 Views

Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".

As I see it, he appears (1) / to be unreasonable anxious (2) / about pleasing his wife. (3) / No Error (4)

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 22nd Jan, 2024

Correct Answer: 2


Solution : The error lies in the second part of the sentence.

The word unreasonable should be replaced with the adverb form unreasonably to convey the intended meaning that he is excessively anxious about pleasing his wife. Unreasonably is used to modify the adjective anxious and is

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