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Question : Directions: The bar graph given below represents the number of boys in a school using three apps for three months.
What is the percentage decrease in the number of boys using Facebook from January to February?
Option 1: 26.66%
Option 2: 20%
Option 3: 21.33%
Option 4: 16.66%
Correct Answer: 16.66%
Solution : As per the given graph, The number of boys using Facebook in January = 600 The number of boys using Facebook in February = 500 The percentage decreases $=\frac{600-500}{500}×100=16.66\%$ Hence, the correct answer is 16.66%.
Question : If $\theta$ is an acute angle and $\sin(\theta +18^{\circ} )=\frac{1}{2}$, then the value of $\theta$ in circular measure is:
Option 1: $\frac{\pi}{12}$ radians
Option 2: $\frac{\pi}{15}$ radians
Option 3: $\frac{2\pi}{5}$ radians
Option 4: $\frac{3\pi}{13}$ radians
Correct Answer: $\frac{\pi}{15}$ radians
Solution : Given that $\sin(\theta +18^{\circ})=\frac{1}{2}$, we need to find the value of $\theta$ in radians. We know that $\sin30^{\circ}=\frac{1}{2}$, $\sin(\theta +18^{\circ})=\sin30^{\circ}$ $⇒\theta +18^{\circ}=30^{\circ}$ $⇒\theta=12^{\circ}$ To convert degrees to radians, we use the formula ⇒ Radians = Degrees × $\frac{\pi}{180^{\circ}}$ So, $\theta=12^{\circ}×\frac{\pi}{180}=\frac{\pi}{15}$ radians Hence, the correct
Question : Who among the following is not a Bharat Ratna recipient?
Option 1: Nelson Mandela
Option 2: Khan Abdul Ghaffar Khan
Option 3: Mother Teresa
Option 4: Baldev Singh
Correct Answer: Baldev Singh
Solution : The correct option is Baldev Singh
Baldev Singh is not a Bharat Ratna recipient. The other three, Mother Teresa (1980), Khan Abdul Ghaffar Khan (1987), and Nelson Mandela (1990), all received the prestigious award, each signifying India's recognition for their exceptional contributions to humanity.
Question : Who among the following wrote Sanskrit grammer?
Option 1: Kalidasa
Option 2: Charaka
Option 3: Panini
Option 4: Aryabhat
Correct Answer: Panini
Solution : The correct answer is Panini.
Panini wrote a book called Ashtadhyai. It is an ancient treatise on Sanskrit grammar. He lived between 4th and 5th century BC during the advent of Mauryan empire. Ashtadhyayi means eight texts which is an Sanskrit grammar book which gives
Question : If $a = 64$ and $b = 289$, then the value of $\sqrt{\sqrt{\sqrt{a}+\sqrt{b}}-\sqrt{\sqrt{b}-\sqrt{a}}}$ is:
Option 1: $2^{\frac{1}{2}}$
Option 2: $2$
Option 3: $4$
Option 4: $–1$
Correct Answer: $2^{\frac{1}{2}}$
Solution : Given: $a = 64$ and $b = 289$ The given expression is $\sqrt{\sqrt{\sqrt{a}+\sqrt{b}}-\sqrt{\sqrt{b}-\sqrt{a}}}$. Substitute the value of $a = 64$ and $b = 289$ in the above equation, we get, $=\sqrt{\sqrt{\sqrt{64}+\sqrt{289}}-\sqrt{\sqrt{289} - \sqrt{64}}}$ $=\sqrt{\sqrt{8+17}-\sqrt{17-8}}$ $=\sqrt{\sqrt{25}-\sqrt{9}}$ $=\sqrt{5-3}$ $=2^{\frac{1}{2}}$ Hence, the correct answer is $2^{\frac{1}{2}}$.
Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word. HARBINGER
Option 1: BARRING
Option 2: GARNER
Option 3: GARBAGE
Option 4: RANGER
Correct Answer: GARBAGE
Solution : Given: HARBINGER
Now, let's compare all the option words with the word HARBINGER – First option: BARRING; All the letters of BARRING are present in the word HARBINGER. Second option: GARNER; All the letters of GARNER are present in the word HARBINGER. Third option: GARBAGE;
Question : The value of $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ is:
Option 1: $\frac{35}{48}$
Option 2: $\frac{59}{48}$
Option 3: $\frac{49}{24}$
Option 4: $\frac{35}{24}$
Correct Answer: $\frac{59}{48}$
Solution : Given: $\frac{4 \tan ^2 30^{\circ}+\sin ^2 30^{\circ} \cos ^2 45^{\circ}+\sec ^2 48^{\circ}-\cot ^2 42^{\circ}}{\cos 37^{\circ} \sin 53^{\circ}+\sin 37^{\circ} \cos 53^{\circ}+\tan 18^{\circ} \tan 72^{\circ}}$ We know that $\tan 30^{\circ} = \frac{1}{\sqrt{3}}$ $\sin 30^{\circ} = \frac{1}{2}$ $\cos 45^{\circ} = \frac{1}{\sqrt{2}}$ $\cos 37^{\circ} = \cos (90^{\circ} - 53^{\circ})
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. Very soon, he bought a young goat. B. When all his goats left him, Abdul was very lonely. C. He simply couldn't do without his pets. D. He thought, "A young goat will stay with me for long."
Option 1: CADB
Option 2: CDBA
Option 3: BCAD
Option 4: BDAC
Correct Answer: BCAD
Solution : The third option is the correct choice.
The sequence begins with Abdul experiencing loneliness after all his goats leave him (B), highlighting his emotional connection to the animals. This loneliness is further emphasised in sentence C, explaining that Abdul couldn't do without his pets. Following
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.
Workers' compensation benefits in Pennsylvania should pay for your medical (1)_________and a portion of your lost wages. However, you cannot be (2)____________for pain and suffering or other non-financial damages that your illness or injury may (3)__________you. A personal injury or wrongful death lawsuit, on the other hand, (4)___________compensation for the ill worker or surviving family members. If someone (5)____________your employer or a co-worker was to blame for your illness, you could pursue such a claim.
Question:
Select the most appropriate option to fill in the blank number 4.
Option 1: hosts
Option 2: allows
Option 3: hovers
Option 4: boasts
Correct Answer: allows
Solution : The correct option will be the second option.
The word "allows" indicates that a personal injury or wrongful death lawsuit permits or enables compensation for the affected worker or their surviving family members.
This choice maintains the logical flow of the sentence, highlighting
Question : Who amongst the following got a Nobel Prize in recognition of his discoveries of how salts and water transported in and out of cells in the human body?
Option 1: Roderick MacKinnon
Option 2: Kurt Wuethrich
Option 3: John E. Sultan
Option 4: H. Robert Horvitz
Correct Answer: Roderick MacKinnon
Solution : The correct answer is Roderick MacKinnon.
Nobel Prize in Chemistry is awarded by the Royal Swedish Academy of Sciences every year. The 2003 Nobel Prize was conferred to Peter Agre and Roderick MacKinnon. They have demonstrated how ions and water are transported through cell
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