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Question : The region of the Ganga Brahmaputra basin lies in ______.
Option 1: 0°N to 10°N latitude
Option 2: 30°N to 50°N latitude
Option 3: 5°N to 10°N latitude
Option 4: 10°N to 30°N latitude
Correct Answer: 10°N to 30°N latitude
Solution : The correct option is 10°N to 30°N latitude.
The Ganga-Brahmaputra basin lies between 10°N and 30°N latitudes. This region is one of the largest river basins and includes portions of Bangladesh, Nepal, Bhutan, and India.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
If there was such a thing as perfect food, eggs would be a ________ (1)________. They are readily available, easy to cook, affordable, and packed ________ (2) ________ protein. An egg is meant to be something that has all the right ingredients to grow an organism, so obviously, it is very nutrient-dense. Eating eggs alongside other food can ________ (3) ________ our bodies absorb more vitamins too. For example, one study found that adding an egg to a salad can increase how much vitamin E we get from the salad. But for decades, eating eggs has also been controversial due to their ________ (4) ________ cholesterol content, which some studies have linked to an increased risk of heart disease. Cholesterol, a yellowish fat produced in our liver and intestines, can be found in every one of our body's cells. We ________ (5) ________ think of it as bad. But cholesterol is a crucial building block in our cell membranes. It is also needed for the body to make vitamin D and the hormones testosterone and oestrogen.
Select the most appropriate option to fill in the blank number 5.
Option 1: normally
Option 2: remotely
Option 3: excitedly
Option 4: intermittently
Correct Answer: normally
Solution : The correct choice is the first option.
Explanation: The context suggests that there is a common perception of cholesterol as "bad". To maintain this contrast, the appropriate word for the blank should convey a sense of how we generally perceive cholesterol. The most suitable
Question : Directions: If GOPAL is coded as MIVUR, then how will RADHA be coded as ______.
Option 1: XVJBG
Option 2: XUJBG
Option 3: XTJBG
Option 4: XUJCG
Correct Answer: XUJBG
Solution : Given: GOPAL is coded as MIVUR –
Add 6 and subtract 6 alternatively from the place value of each letter of the word GOPAL to obtain the required code – G + 6 = M; O – 6 = I; P + 6 = V;
Question : Directions: After arranging the given words according to dictionary order, which word will come in the third position? 1. Aquarium 2. Aquatic 3. Aquarial 4. Aquatint 5. Aquavit
Option 1: Aquatic
Option 2: Aquatint
Option 3: Aquarial
Option 4: Aquarium
Correct Answer: Aquatic
Solution : Given: 1. Aquarium 2. Aquatic 3. Aquarial 4. Aquatint 5. Aquavit
Step 1: The first four letters of each word are the same – a, q, u, a; so move on to the next letter. Step 2: The fifth letter of
Question : Direction: In the given question, select the related letter from the given alternatives.
KMNP : ACDF :: PRSU : ?
Option 1: STVW
Option 2: TVWY
Option 3: VXYZ
Option 4: LNPR
Correct Answer: TVWY
Solution : Given:
Here, the logic is that the second alphabet of each letter adds 2 letters ahead of the first letter, the third letter adds 1 ahead of the second letter and the fourth letter adds 2 ahead of
Question : Which of the following is not a feature of money?
Option 1: Convenient unit of account
Option 2: Perishable
Option 3: General acceptability
Option 4: Liquid asset
Correct Answer: Perishable
Solution : The correct option is Perishable.
Money does not have the quality of perishability. The widespread consensus is that money is durable, meaning it doesn't rot, corrode, or expire and doesn't lose value over time. Certain products or commodities that have a short shelf life and
Question : who were The ‘Ajivikas’?
Option 1:
Sect contemporary to the Buddha
Option 2: Breakaway branch of the Buddhists
Option 3: Sect founded by Charvaka
Option 4: Sect founded by Shankaracharya
Correct Answer:
Solution : Correct Answer is Sect contemporary to the Buddha
The Ajivikas is a prehistoric Indian ascetic religion that believed in freedom, fatalism, and karma. This sect was particularly influential during the reign of the Mauryan king Bindusara. King Bindusara and his wife
Question : A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively. How soon can the work be done if A works with B on the first day, A works with C on the second day and so on?
Option 1: $8 \frac{1}{2}$ days
Option 2: $9\frac{1}{2}$ days
Option 3: 8 days
Option 4: 9 days
Correct Answer: 8 days
Solution : Total work = LCM (11, 20 and 55) = 220 units Efficiency of A = $\frac{220}{11}$ = 20 units/day Efficiency of B = $\frac{220}{20}$ = 11 units/day Efficiency of C = $\frac{220}{55}$ = 4 units/day Combined work of A and B = 20 +
Question : The square root of $\frac{2+\sqrt{3}}{2}$ is:
Option 1: $\pm \frac{1}{\sqrt{2}}(\sqrt{3}+1)$
Option 2: $\pm \frac{1}{2}(\sqrt{3}-2)$
Option 3: $\text{none}$
Option 4: $\pm \frac{1}{2}(\sqrt{3}+1)$
Correct Answer: $\pm \frac{1}{2}(\sqrt{3}+1)$
Solution : Given: $\frac{2+\sqrt{3}}{2}$ $= \frac{1}{4}({4+2\sqrt{3}})$ $= \frac{1}{4}[1^2+(\sqrt{3})^2+2×1×\sqrt{3}]$ $= \frac{1}{4}(1+\sqrt{3})^2$ So, the square root of $\frac{2+\sqrt{3}}{2}$ $= \sqrt{\frac{2+\sqrt{3}}{2}}$ $= \sqrt{\frac{1}{4}(1+\sqrt{3})^2}$ $= \pm \frac{1}{2}(1+\sqrt{3})$ Hence, the correct answer is $\pm \frac{1}{2}(\sqrt{3}+1)$ .
Question : If $\sin \theta+\cos \theta=\frac{\sqrt{3}-1}{2 \sqrt{2}}$, then what is the value of $\tan \theta+\cot \theta$?
Option 1: $8(\sqrt{3}-2)$
Option 2: $12(\sqrt{3}-2)$
Option 3: $12(\sqrt{3}+2)$
Option 4: $8(\sqrt{3}+2)$
Correct Answer: $8(\sqrt{3}-2)$
Solution : Given, $\sin \theta+\cos \theta=\frac{\sqrt{3}-1}{2 \sqrt{2}}$ Squaring both sides, we get, ⇒ $(\sin \theta+\cos \theta)^2=(\frac{\sqrt{3}-1}{2 \sqrt{2}})^2$ ⇒ $\sin^2\theta+\cos^2\theta+2\sin\theta\cos\theta=\frac{3+1-2\sqrt3}{8}$ ⇒ $1+2\sin\theta\cos\theta=\frac{4-2\sqrt{3}}{8}$ ⇒ $2\sin\theta\cos\theta=\frac{2-\sqrt3}{4}-1$ ⇒ $2\sin\theta\cos\theta=\frac{2-\sqrt3-4}{4}$ ⇒ $\sin\theta\cos\theta=\frac{-2-\sqrt3}{8}$ Now consider, $\tan \theta+\cot \theta$ $=\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}$ $=\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}$ $=\frac{1}{\sin\theta\cos\theta}$ $=\frac{1}{\frac{-2-\sqrt3}{8}}$ $=\frac{-8}{2+\sqrt3}$ Rationalizing it, we get, $=\frac{-8}{2+\sqrt3}\times\frac{2-\sqrt3}{2-\sqrt3}$ $=\frac{-8(2-\sqrt3)}{2^2-(\sqrt3)^2}$ $=\frac{8(\sqrt{3}-2)}{4-3}=8(\sqrt3-2)$ Hence, the correct
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