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11 Views

Question : The value of $\text{cot 17°}(\text{cot 73°} \cos^{2}22°+\frac{1}{\cot 17°\sec^{2}68°})$ is:

Option 1: $0$

Option 2: $1$

Option 3: $2$

Option 4: $\sqrt{3}$

Team Careers360 17th Jan, 2024

Correct Answer: $1$


Solution : Use: $\cot 73°= \tan(90°-73°)= \tan17°$ and $\cos^{2}22° = \cos^{2}(90°-68°) = \sin^2 68°$
$\text{cot 17°}(\text{cot 73°} \cos^{2}22°+\frac{1}{\cot17°\sec^{2}68°})$
= $\text{cot 17°}(\text{tan 17°} \sin^{2}68°+{\tan17°\cos^{2}68°})$
= $\text{cot 17°}[\text{tan 17°}(\sin^{2}68°+\cos^{2}68°)]$
= $\text{cot 17°}\text{tan 17°}$ [$\because(\sin^{2}68°+\cos^{2}68°)=1]$
= $\text{cot 17°}\frac{1}{\cot 17°}$
= $1$
Hence, the correct answer is 1.

27 Views

Question : Directions: The following series has one number missing. Select the missing number from the given alternatives.
19, 9, 28, 37, 65, ?

Option 1: 99

Option 2: 97

Option 3: 102

Option 4: 113

Team Careers360 21st Jan, 2024

Correct Answer: 102


Solution : Given:
19, 9, 28, 37, 65, ?

Add the first two numbers to get the third number, then add the second and third numbers to get the fourth number, and so on.
19 + 9 = 28; 9 + 28 = 37; 28 + 37

41 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.
Being careful that every detail of something is correct

Option 1: Fastidious

Option 2: Squeamish

Option 3: Stubborn

Option 4: Impregnable

Team Careers360 24th Jan, 2024

Correct Answer: Fastidious


Solution : The correct choice is the first option.

It means being careful about every detail and paying great attention to accuracy and detail, often to an excessive degree.

The meanings of the other options are as follows:

  • Squeamish: Easily disgusted or affected by nausea; having a

11 Views

Question : Directions: Find out the missing number.

8 9 9
6 7 8
9 11 ?
39 52 59

Option 1: 10

Option 2: 11

Option 3: 12

Option 4: 13

Team Careers360 15th Jan, 2024

Correct Answer: 13


Solution : Given:

8 9 9
6 7 8
9 11 ?
39 52 59

The pattern can be observed running vertically down in the columns.
Column 1: (8 × 6) – 9 = 48 – 9 = 39
Column 2: (9 × 7) – 11 =

22 Views

Question : Karl Marx wrote

Option 1: Asian Drama

Option 2: Emma

Option 3: Das Kapital

Option 4: Good Earth

Team Careers360 13th Jan, 2024

Correct Answer: Das Kapital


Solution : The correct answer is Das Kapital.

Karl Marx's Das Kapital, a seminal work in the theory of materialist philosophy, and criticism of political economics, was released in three volumes in 1867, 1885, and 1894. The document provides Marx's study of capitalism, in which he

21 Views

Question : Who among the following won the Singapore Open 2022 Super 500 Trophy?

Option 1: P. V. Sindhu

Option 2: Wang Zhi Yi

Option 3: Aya Ohori

Option 4: Saena Kawakami

Team Careers360 15th Jan, 2024

Correct Answer: P. V. Sindhu


Solution : The correct option is P. V. Sindhu.

The winner of the Singapore Open 2022 Super 500 Trophy was P. V. Sindhu. She clinched the title in the Women's Singles category, defeating Wang Zhi Yi of China in the final match with a

3 Views

Question : Choose the word that is opposite in meaning to the given word.
Lordly

Option 1: Despair

Option 2: Arrogant

Option 3: Ignoble

Option 4: Saucy

Team Careers360 25th Jan, 2024

Correct Answer: Ignoble


Solution : The correct choice is the third option.

Lordly refers to characteristics associated with a lord or someone of high rank, often implying nobility, dignity, or superiority. Ignoble is the opposite, indicating something that is not noble or lacks moral integrity, dignity, or honour.

The meanings

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