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Question : PQRS is a cyclic quadrilateral. If $\angle$P is three times of $\angle$R and $\angle$S is four times of $\angle$Q, then the sum of $\angle$S + $\angle$R will be:

Option 1: $169^{\circ}$

Option 2: $171^{\circ}$

Option 3: $187^{\circ}$

Option 4: $189^{\circ}$

Team Careers360 25th Jan, 2024

Correct Answer: $189^{\circ}$


Solution : $\angle$P = 3$\angle$R
$\angle$S = 4$\angle$Q
As PQRS is a cyclic quadrilateral,
$\angle$P + $\angle$R = $180^{\circ}$
⇒ 3$\angle$R + $\angle$R = $180^{\circ}$
⇒ 4$\angle$R = $180^{\circ}$
$\therefore$ $\angle$R = $45^{\circ}$
⇒ $\angle$P = 3 × $45^{\circ}$ = $135^{\circ}$
$\angle$S + $\angle$Q = $180^{\circ}$

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Question : Select the INCORRECTLY spelt word.

Option 1: despise

Option 2: describe

Option 3: desire

Option 4: designe

Team Careers360 24th Jan, 2024

Correct Answer: designe


Solution : The incorrectly spelt word is the fourth option.

"Design" is the correct spelling, and it means to make drawings, preliminary sketches, or plans.

30 Views

Question : The remainder when $19^{19}+20$ is divided by 18, is:

Option 1: 3

Option 2: 2

Option 3: 1

Option 4: 0

Team Careers360 24th Jan, 2024

Correct Answer: 3


Solution : To find: The remainder when $19^{19}+20$ is divided by 18.
Now, 19 $\equiv$ 1 (mod 18)
⇒ 1919 $\equiv$ 119 (mod 18)
⇒ 1919 $\equiv$ 1 (mod 18)
⇒ (1919 + 20) $\equiv$ (1 + 20) (mod 18)
⇒ (1919

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Question : Which of the following pairs is incorrect?

I. Crocodile - Reptile

II. Frog - Amphibian

III. Tiger - Reptile

Option 1: I and II

Option 2: I and III

Option 3: Only III

Option 4: Only II

Team Careers360 22nd Jan, 2024

Correct Answer: Only III


Solution : The correct option is only III (Tiger - Reptile)

All mammals, including tigers, are classified as members of the class Mammalia. Tigers belong to the Felidae family of large predators. It is well-known for its striking orange coat with black stripes, robust physique and

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