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Question : $\triangle$ LON and $\triangle$ LMN are two right-angled triangles with common hypotenuse LN such that $\angle$ LON = $90^{\circ}$ and $\angle$ LMN = $90^{\circ}$. LN is the bisector of $\angle$ OLM. If LN = 29 cm and ON = 20 cm, then what is the perimeter (in cm) of $\triangle$ LMN?

Option 1: 67

Option 2: 62

Option 3: 65

Option 4: 70

Team Careers360 25th Jan, 2024

Correct Answer: 70


Solution :
Given: $\triangle$LON and $\triangle$LMN are two right-angled triangles with common hypotenuse LN such that $\angle$LON = $90^{\circ}$ and $\angle$LMN = $90^{\circ}$. LN is the bisector of $\angle$OLM also, LN = 29 cm and ON = 20 cm.
In $\triangle$LON,
LO = $\sqrt{29^2-20^2}=\sqrt{441}$ = 21 cm

12 Views

Question : The Battle of Karnal is known for the invasion of which of the following aggressors against India?

Option 1: Nadir Shah

Option 2: Nasir Khan

Option 3: Ahmad Shah Abdali

Option 4: Shah Shuja

Team Careers360 25th Jan, 2024

Correct Answer: Nadir Shah


Solution : The correct option is Nadir Shah.

The Battle of Karnal, which took place on February 24, 1739, is known for the invasion of India by the aggressor, Nadir Shah, who was the ruler of Persia (modern-day Iran). Nadir Shah's invasion of India culminated

42 Views

Question : Directions: In the following question a series is given, with one or more number(s) missing. Choose the correct alternative from the given ones that will complete the series.
?, 5, 30, 186, 1309, 10480

Option 1: 0.25

Option 2: 0.75

Option 3: 1.00

Option 4: 0

Team Careers360 25th Jan, 2024

Correct Answer: 0.25


Solution : Given:
?, 5, 30, 186, 1309, 10480

Multiply and add the sequential natural numbers to the previous term of the series –
(5 × 5) + 5 = 25 + 5 = 30
(30 × 6) + 6 = 180 + 6 = 186
(186

14 Views

Question : Directions: Which two numbers should be interchanged, to make the given equation correct?
4 × 8 – 12 + 5 = 16

Option 1: 4 and 5

Option 2: 8 and 5

Option 3: 16 and 8

Option 4: 12 and 16

Team Careers360 25th Jan, 2024

Correct Answer: 8 and 5


Solution : Given:
4 × 8 – 12 + 5 = 16

Replace the given numbers in the options one by one with the original numbers in the given equation.
First option: 4 and 5
4 × 8 – 12 + 5 = 16
=

23 Views

Question : The writer of Ramcharitmanas, Tulsidas, was related to which ruler?

Option 1: Chandragupta Maurya

Option 2: Nawab Wajid Ali Shah

Option 3: Harsha

Option 4: Akbar

Team Careers360 25th Jan, 2024

Correct Answer: Akbar


Solution : The correct answer is Akbar.

In 1574 CE, Tulsidas started writing the Ramcharitmanas at Ayodhya. During this time, India was ruled by the Mughal Emperor Akbar. He was a contemporary of Tulsidas. During Akbar’s reign, Tulsidas wrote several well-known works in Sanskrit and Awadhi languages.

11 Views

Question : The compound used in prickly heat powder to prevent excessive sweating is

Option 1: Boric acid

Option 2: Phosphoric acid

Option 3: Carbonic acid

Option 4: Sulphonic acid

Team Careers360 25th Jan, 2024

Correct Answer: Boric acid


Solution : The correct option is Boric acid.

Because of its antibacterial and astringent qualities, boric acid is frequently used in prickly heat powder. These substances aid in the prevention of excessive perspiration, and the calming of the skin. Boric acid has long been used to

180 Views

Question : A man bought some eggs of which 10% are rotten. He gives 80% of the remaining to his neighbours. Now he is left out with 36 eggs. How many eggs did he buy?

Option 1: 40

Option 2: 100

Option 3: 200

Option 4: 72

Team Careers360 25th Jan, 2024

Correct Answer: 200


Solution : Let the number of eggs he bought be 100 units.
Eggs, after removing rotten one = 90 units
Eggs given to neighbour = 80% of 90 = 72 units.
Now, remaining eggs = 90 - 72 = 18 units.
Now, on comparing, we get,
18

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