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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.
Question : 470 litres of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now there is 6% water in the new mixture. Find the quantity of water added by the boy in the mixture.
Option 1: 6 litres
Option 2: 8 litres
Option 3: 5 litres
Option 4: 10 litres
Correct Answer: 5 litres
Solution : Given: 470 litres of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now there is 6% water in the new mixture. Let the water added be $x$ litre. 5% of 470 litres
Question : Comprehension: Read the following passage and answer the questions that follow. The strain, Tropical Race 4 (TR4), was first identified in Taiwan. and has jumped from Asia to the Middle East and Africa, reaching as far as Latin America. Scientists are describing it as the equivalent of Covid-19 in bananas. As the coronavirus disease outbreak rages on, 'fusarium wilt TR4', a novel fungus strain that has devastated plantations across the globe this year, is setting up new hotspots and threatening output in India, the world's largest producer of bananas. It cripples plantations by first attacking the leaves, which turn yellow from their trailing edges before wilting away. There is no effective remedy yet. "One could say it is the Covid-19 of the plant world. Hotspots have been found in Bihar and Uttar Pradesh, which we are trying to contain," said S. Uma, the director of National Research Centre for Bananas (NRCB), Trichy.
According to the Food and Agriculture Organization (FAO) of the United Nations, TR4 is one of the 'the most destructive of all plant diseases'. As with Covid-19, there is no treatment yet. So, scientists recommend biosecurity measures including 'plant quarantine' to slow its spread. The spreading disease has jeopardised the $26 billion global banana trade.
A healthy snack, banana is the world's most globally exported fruit, according to the FAO. That's a reason for worry as the disease is breaching borders through imports.
India produces 27 million tonnes of bananas annually and grows about 100 varieties. TR4 has infected the most commonly sold variety, the one you mostly likely have for breakfast: Grand Nain a curvy yellow fruit. inability to contain TR4 could jolt farm incomes and push up banana prices. One medium banana (126 gms) provides about 110 calories, 0 gram fat, 1 gram protein, 28 grams carbohydrate, 15 grams of sugar (naturally occurring), 3 grams of fibre 450 mg potassium and trace quantities of vitamin C and B6, according to the Hyderabad-based National Institute of Nutrition.
Most of India's bananas are consumed domestically. Equador, the largest exporter, is currently the epicentre and scientists haven't been able to ascertain how TR4 entered India. Fusarium wilt is not new. It entirely wiped out Gros Michel, the dominant export variety of bananas in 1950s. It was in response to this that a new resistant variety, Grand Nain, came up. That has now fallen to TR4. The challenge is to now identify or develop new resistant varieties. That's the only way to manage it, according to Uma, until an effective agent is found.
The Indian Council of Agricultural Research is advocating a set of measures, known as 'biopriming'. It has asked farmers whose plantations have been affected to abandon them. They must grow rice for a year or two before returning to banana. "That way the chain is broken," said R Selvarajan, a scientist with the NRCB.
Question: The calorific value of a medium-sized banana is 110 and it is richest in:
Option 1: fibre
Option 2: carbohydrate
Option 3: protein
Option 4: potassium
Correct Answer: carbohydrate
Solution : The correct choice is the second option.
Explanation: The 110 calories in a medium-sized banana primarily come from its carbohydrate content. A banana of this size contains around 28 grams of carbohydrates, which include naturally occurring sugars and dietary fibre.
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