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Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 21 * 4 * 156 * 13 * 11 = 83
Option 1: –, ÷, ×, +
Option 2: ×, +, ÷, –
Option 3: ×, –, ÷, +
Option 4: +, ÷, –, ×
Correct Answer: ×, –, ÷, +
Solution : Given: 21 * 4 * 156 * 13 * 11 = 83
Replace * with the mathematical signs and solve the equation using BODMAS. Let's check the given options – First option: –, ÷, ×, + ⇒ 21 – 4 ÷ 156
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
She stopped and said that she (had forgotten taking the key from) the keyhole.
(1) forgot taking the key from
(2) forgot to take the key off from
(3) had forgotten to take the key from
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
Explanation:
The sentence is in the past perfect tense, indicating an action completed before another past action. The use of "had forgotten to take" correctly conveys that forgetting to take the key occurred before the main action in
Question : Vipul and Manish invested the sum of INR 15,000 and INR 20,000 at the rate of 20% per annum and 30% per annum respectively on compound interest (compounding annually). If time period is 3 years for both, then what will be the total compound interest earned by Vipul and Manish?
Option 1: INR 32,480
Option 2: INR 31,688
Option 3: INR 29,460
Option 4: INR 34,860
Correct Answer: INR 34,860
Solution : Given: Vipul and Manish invested the sum of INR 15,000 and INR 20,000 at the rate of 20% per annum and 30% per annum respectively on compound interest (compounding annually). We know the formulas, $A = P(1+\frac{R}{100})^T$ $CI = A-P$ where $CI$, $A$, $P$,
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the second option is correct.
Question : Which acid destroys the bacteria that enter the stomach?
Option 1: Nitric acid
Option 2: Hydrochloric acid
Option 3: Boric acid
Option 4: Uric acid
Correct Answer: Hydrochloric acid
Solution : The correct answer is Hydrochloric acid.
Bacteria entering the stomach are eliminated by hydrochloric acid. The digestive enzymes separate the proteins, and the hydrochloric acid in the gastric juice breaks down the food.
Question : $\frac{\sin^4 \theta+\cos^4 \theta}{1-2 \sin^2 \theta \cos^2 \theta}=$____.
Option 1: 1
Option 2: 2
Option 3: – 1
Option 4: 0
Correct Answer: 1
Solution : Given: $\frac{\sin^4 \theta+\cos^4 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$ = $\frac{\sin^4\theta+\cos^4\theta+2\sin^2\theta \cos^2\theta-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$ = $\frac{(\sin^2\theta+\cos^2\theta)^2-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin ^2 \theta \cos^2 \theta}$ = $\frac{1-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$ [$\because \sin^2\theta+\cos^2\theta=1$] = $1$ Hence,
Question : Directions: Kishore starts from a point and walks 6 km towards the east and turning to his left he moves 3 km after this, he again turns to his left and moves 6 km. Now how far is he from his starting point?
Option 1: 3 km
Option 2: 2 km
Option 3: 4 km
Option 4: 5 km
Correct Answer: 3 km
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the distance between starting and endpoints. In the figure, A is the starting point and D is the finishing point. So, AD is the distance from the
Question : Comprehension: Wildlife and nature have largely been associated with humans for numerous emotional and social reasons. A simple stroll around the park amidst some birds provides a fresh breath of life and charges our batteries. Apart from a bird feeder in the backyard, we can also take up other active pastimes, such as hiking, hunting, canoeing, or wildlife photography, to relieve our parched nerves. Since prehistoric times, animals have been highly useful to us in providing food, clothing, and a source of income. Studies indicate that woodpeckers are capable of destroying 90% of codling moth larvae residing under the bark of trees. This shows the significance of wildlife and wildlife habitat for preserving genetic diversity. Hence, places, where agriculture, forests, and fisheries depend on crops or stocks, can ensure that such living resources are enough to withstand the ever-increasing list of threats. Further, in medicine, the development of new drugs and treatments is largely dependent on wildlife and wildlife habitat. Interestingly, most pharmaceutical products are a result of discovering or developing wildlife species, not discoveries made through traditional chemistry principles. Today, most medicinal remedies contain at least one ingredient derived from a wild plant or animal. Biodiversity is the variety of living beings within an ecosystem or on our planet. It is a measurement of the health of ecosystems. Biodiversity also plays a part in the function of climate. In terrestrial habitats, tropical areas are rich in species, whereas polar areas support lesser species. The conservation of biodiversity is inevitable for the survival of humans. Based on the passage above, choose the correct option for the following questions:
Question: Wildlife has helped humans in all aspects except?
Option 1: Clothing
Option 2: Development of new medicines
Option 3: Education
Option 4: Providing food
Correct Answer: Education
Solution : The third option is correct.
The passage explicitly discusses how wildlife has aided humans in providing clothing, developing new medicines, and supplying food. However, it doesn't provide information about a direct contribution to formal education. The emphasis is more on the tangible benefits in terms
Question : Identify the chemical formula of Ammonium Hydroxide.
Option 1: NH4OH
Option 2: NH4O2
Option 3: NH3O
Option 4: NH2OH
Correct Answer: NH4OH
Solution : The correct option is NH4OH.
The chemical formula for an ammonia solution in water is NH4OH. There are several names for this mixture, including aqueous Ammonia, Ammonia liquor, Ammonia water, and ammonium Hydroxide. It is used as a
Question : Given below are four jumbled sentences. Select the option that gives their correct order forming a meaningful and coherent paragraph.
A. I had reached the most exciting part of my Agatha Christie novel. B. He was presently gruelling the Duchess seated in the armchair. C. Hercule Poirot had managed to get together all his suspects in one room and in his great style was cornering them into confession. D. She had become extremely nervous and was on the verge of a breakdown.
Option 1: CDAB
Option 2: CBAD
Option 3: ADBC
Option 4: ACBD
Correct Answer: ACBD
Solution : The correct choice is the fourth option.
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