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16 Views

Question : Find the value of $\frac{\cos 65^{\circ}}{\sin 25^{\circ}}+\frac{5 \sin 19^{\circ}}{\cos 71^{\circ}}-\frac{3 \cos 28^{\circ}}{\sin 62^{\circ}}$.

Option 1: 2

Option 2: 0

Option 3: 1

Option 4: 3

Team Careers360 24th Jan, 2024

Correct Answer: 3


Solution : Given: $\frac{\cos 65^{\circ}}{\sin 25^{\circ}}+\frac{5 \sin 19^{\circ}}{\cos 71^{\circ}}-\frac{3 \cos 28^{\circ}}{\sin 62^{\circ}}$
= $\frac{\cos 65^{\circ}}{\sin (90^\circ-65^{\circ})}+\frac{5 \sin (90^\circ-71^{\circ})}{\cos 71^{\circ}}-\frac{3 \cos 28^{\circ}}{\sin (90^\circ-28^{\circ})}$
= $\frac{\cos 65^{\circ}}{\cos 65^{\circ}}+\frac{5 \cos 71^{\circ}}{\cos 71^{\circ}}-\frac{3 \cos 28^{\circ}}{\cos 28^{\circ}}$
= $1 + 5 - 3$
= $3$
Hence, the correct answer is 3.

20 Views

Question : Which article of the Indian Constitution empowers Indian Parliament to amend the constitution?

Option 1: Article 368

Option 2: Article 252

Option 3: Article 254

Option 4: Article 256

Team Careers360 25th Jan, 2024

Correct Answer: Article 368


Solution : The correct option is Article 368.

Article 368 of the Indian Constitution outlines the framework for constitutional amendments. Article 368 of the Indian Constitution addresses the method and authority for amending the Constitution. It covers the various methods for making amendments as well

20 Views

Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series.
XBC, WFG, VJK, ?

Option 1: XGH

Option 2: UNO

Option 3: YFG

Option 4: WKL

Team Careers360 24th Jan, 2024

Correct Answer: UNO


Solution : Given:
XBC, WFG, VJK, ?

In the given series, subtract 1 from the place value of the first letter and add 4 to the place value of the second and third letters of the previous term to obtain the next term.
XBC→X – 1 =

23 Views

Question : Ranji Trophy is affiliated with which sport?

Option 1: Cricket

Option 2: Football

Option 3: Badminton

Option 4: Hockey

Team Careers360 24th Jan, 2024

Correct Answer: Cricket


Solution : The correct answer is Cricket.

The Ranji Trophy is a domestic first-class cricket championship played in India. The Ranji Trophy was founded by the Board of Control for Cricket in India (BCCI). The other famous domestic cricket championships are the Vijay Hazare Trophy, Deodhar

13 Views

Question : If 4$\theta$ is an acute angle, and cot 4$\theta$ = tan($\theta$ – 5°), then what is the value of $\theta$?

Option 1: 19°

Option 2: 45°

Option 3: 21°

Option 4: 24°

Team Careers360 25th Jan, 2024

Correct Answer: 19°


Solution : According to the question,
⇒ $\cot(4θ) = \tan(θ - 5°)$
⇒ $\cot(4θ) = \cot(90° - (θ - 5°))$
⇒  $4θ = 90° - (θ - 5°)$
⇒ $4θ  +θ - 5° = 90°$
⇒ $5θ = 95° $
⇒ $θ =19°$
Hence, the correct answer

190 Views

Question : The ratio of the number of boys to that of girls in a school is 11 : 15. If there are 200 more girls than boys, what is the number of boys in that school?

Option 1: 550

Option 2: 750

Option 3: 506

Option 4: 605

Team Careers360 25th Jan, 2024

Correct Answer: 550


Solution : Let the number of boys be 11$x$ and girls be 15$x$
Difference = 15$x$ – 11$x$ = 4$x$
Given: Girls are 200 more than boys
4$x$ = 200
⇒ $x$ = 50
$\therefore$ Boys = 11$x$ = 11 × 50 = 550
Hence, the correct

9 Views

Question : Directions: Select the odd letter cluster from the given alternatives.

Option 1: HJLN

Option 2: LNPR

Option 3: SUWY

Option 4: EGIJ

Team Careers360 24th Jan, 2024

Correct Answer: EGIJ


Solution : Let's check the options –
First option: HJLN; H + 2 = J; J + 2 = L; L + 2 = N
Second option: LNPR; L + 2 = N; N + 2 = P; P + 2 = R
Third option: SUWY; S

9 Views

Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series.
CDE, IHG, KLM, QPO, STU, ?

Option 1: YXW

Option 2: WXY

Option 3: XYW

Option 4: XWY

Team Careers360 23rd Jan, 2024

Correct Answer: YXW


Solution : Given:
CDE, IHG, KLM, QPO, STU, ?

The pattern follows to find the missing term –

So, YXW is the missing term in the series. Hence, the first option is correct.

9 Views

Question : In which of the following years was the voting age reduced from 21 years to 18 years?

Option 1: 1990

Option 2: 1992

Option 3: 1988

Option 4: 1989

Team Careers360 23rd Jan, 2024

Correct Answer: 1988


Solution : The correct option is 1988.

The voting age was reduced from 21 years to 18 years with the 61st Amendment Act of 1988. This amendment came into effect on March 28, 1989. Before the amendment, the voting age in India had been 21 years.

24 Views

Question : Select the most appropriate option to complete the given sentence.

His brother _______ his ________ and gave him a watch after his result.

Option 1: took, word

Option 2: broke, record

Option 3: lost, temper

Option 4: kept, promise

Team Careers360 24th Jan, 2024

Correct Answer: kept, promise


Solution : The most appropriate option to complete the given sentence is the fourth option.

Explanation: In the context of the sentence, the verb kept is appropriately paired with the noun promise to convey a meaningful action. The sentence indicates that his brother fulfilled or honoured

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