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Question : An inlet pipe can fill an empty tank in 51 hours while an outlet pipe drains a filled tank in 76.5 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get filled?
Option 1: 178.5
Option 2: 127.5
Option 3: 102
Option 4: 153
Correct Answer: 153
Solution : Given: An inlet pipe can fill an empty tank in 51 hours while an outlet pipe drains a filled tank in 76.5 hours. In 1 hour inlet pipe fills = $\frac{1}{51}$ part In 1 hour outlet pipe empties = $\frac{1}{76.5}$ part When both open at
Question : There is an underlined segment in the given sentence. Select the most appropriate option to substitute the segment. If there is no need to substitute it, select 'No substitution required'
I like Rahane's style of batting more than Kohli.
Option 1: more from Kohli
Option 2: more from Kohli's
Option 3: No substitution required
Option 4: more than Kohli's
Correct Answer: more than Kohli's
Solution : The correct answer is the fourth option.
Explanation: In making comparisons, it's crucial to ensure parallelism and grammatical correctness. The original sentence compares Rahane's style of batting with Kohli's, and the correct structure is more than when making this type of comparison.
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
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.
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
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
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
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 =
Question : Ranji Trophy is affiliated with which sport?
Option 1: Cricket
Option 2: Football
Option 3: Badminton
Option 4: Hockey
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
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°
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
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
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
Question : Directions: Select the odd letter cluster from the given alternatives.
Option 1: HJLN
Option 2: LNPR
Option 3: SUWY
Option 4: EGIJ
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
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
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.
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