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Question : The value of $\frac{\sin 25^{\circ}\cos 65^{\circ}+\cos 25^{\circ}\sin 65^{\circ}}{\tan ^{2}70^{\circ}-cosec^{2}20^{\circ}}$ is:
Option 1: –1
Option 2: 0
Option 3: 1
Option 4: 2
Correct Answer: –1
Solution : $\frac{\sin 25^{\circ}\cos 65^{\circ}+\cos 25^{\circ}\sin 65^{\circ}}{\tan ^{2}70^{\circ}-\operatorname{cosec}^{2}20^{\circ}}$ $=\frac{\sin 25^{\circ}\sin 25^{\circ}+\cos 25^{\circ}\cos 25^{\circ}}{\tan ^{2}70^{\circ}-\operatorname{cosec}^{2}20^{\circ}}$ $= \frac{\sin^2 25^{\circ}+\cos^225^{\circ}}{\tan^{2}70^{\circ}-\sec^{2}70^{\circ}}$ $= \frac{1}{-(\sec^ {2}70^{\circ}-\tan^ {2}70^{\circ})}$ $= -1$ Hence, the correct answer is –1.
Question : Who won the women’s singles title at the French Open 2022?
Option 1: Iga Swiatek
Option 2: Ons Jabeur
Option 3: Ashleigh Barty
Option 4: Coco Gauff
Correct Answer: Iga Swiatek
Solution : The correct option is Iga Swiatek.
The world's top-ranked player, Iga Swiatek of Poland, secured victory in the women's singles at the French Open 2022. Facing off against the talented US teenager Coco Gauff, the 21-year-old phenom clinched her second French Open title in
Question : A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together on every third day. In how many days will the work be completed?
Option 1: 23
Option 2: 24
Option 3: 30
Option 4: $22 \frac{1}{2}$
Correct Answer: 23
Solution : Given : A can complete work = 30 days B can complete work = 45 days C can complete work = 90 days Total work = LCM of 30, 45 and 90 = 90 units Efficiency of A $=\frac{90}{30} = 3$ units Efficiency of B
Question : Which of the following cities in India have the headquarters of more than one Railway Zone?
Option 1: Mumbai
Option 2: Neither Kolkata nor Mumbai
Option 3: Kolkata
Option 4: Both Kolkata and Mumbai
Correct Answer: Both Kolkata and Mumbai
Solution : The correct answer is both Kolkata and Mumbai.
Kolkata and Mumbai each have the principal offices for two railway zones. Eastern Railway and South Eastern Railway have their headquarters in Kolkata, while Central Railway and Western Railway have their headquarters in
Question : Where are the Todas found ?
Option 1: Tamil Nadu
Option 2: Rajasthan
Option 3: Arunachal Pradesh
Option 4: Madhya Pradesh
Correct Answer: Tamil Nadu
Solution : The correct answer is Tamil Nadu.
The Toda are an ethnic tribal community largely located in the Nilgiri Hills of Tamil Nadu and Kerala in southern India. They are mainly concentrated in Tamil Nadu's Nilgiri District, which is recognised for its gorgeous scenery and
Question : Aerated water contains
Option 1: SO2
Option 2: NO2
Option 3: H2
Option 4: CO2
Correct Answer: CO2
Solution : The correct option is - CO₂
Carbon dioxide is used to aerate beverages like soda waters, lemonade, and others. A water molecule unites with carbonic acid when CO₂ is dissolved in water. As long as the beverage is under pressure, the carbon dioxide stays
Question : Directions: Which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the third option is correct.
Question : Select the word segment that substitutes (replaces) the bracketed word segment correctly and completes the sentence meaningfully. Select the option 'No correction required' if the sentence is correct as given. "Hello! How (is) you?"
Option 1: am
Option 2: are
Option 3: No correction required
Option 4: was
Correct Answer: are
Solution : The correct choice is the second option.
The sentence "Hello! How (is) you?" contains a grammatical error. The correct replacement for the bracketed word segment is "are".
According to the subject-verb agreement rule, the verb must be placed according to the subject of the verb.
Question : The method of amending the constitution by popular veto is found in
Option 1: Britain
Option 2: Switzerland
Option 3: Russia
Option 4: India
Correct Answer: Switzerland
Solution : The correct option is Switzerland.
Switzerland has established provisions for referendums or popular votes. In a form of direct democracy known as the "popular veto", citizens can also influence legislation by submitting petitions.
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. With Halloween only (1) _____ days away, I thought this was a perfect time to talk (2)______ zombies. For years, zombies have dominated science (3) ______. These creatures, the walking dead, don’t (4) ______ exist, right? Wrong! There are in fact several very real life diseases that could and can make you (5) ______ like a zombie.
Question:
Select the most appropriate option to fill in the blank number 3.
Option 1: friction
Option 2: freelance
Option 3: fictions
Option 4: fickle
Correct Answer: fictions
Solution : The correct option will be the third option.
The term science fiction refers to a genre that often involves speculative and imaginative concepts, including zombies. In this context, the passage is likely discussing how zombies have been a prominent element in the genre of science
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