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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: +, ÷, –, ×

Team Careers360 24th Jan, 2024

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

38 Views

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

Team Careers360 24th Jan, 2024

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 $CI$, $A$, $P$,

2 Views

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:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : When the given folded paper is unfolded, it will look like –

Hence, the second option is correct.

20 Views

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

Team Careers360 25th Jan, 2024

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.

10 Views

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

Team Careers360 24th Jan, 2024

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,

18 Views

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

Team Careers360 24th Jan, 2024

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

20 Views

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

Team Careers360 25th Jan, 2024

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

17 Views

Question : Identify the chemical formula of Ammonium Hydroxide.

Option 1: NH4OH

Option 2: NH4O2

Option 3: NH3O

Option 4: NH2OH

Team Careers360 25th Jan, 2024

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

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