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136 Views

Question : (N + 18) persons, each working for 7.5 hours a day, can complete 48% of the work in 20 days. (N + 12) persons can complete the remaining work in 30 days if each works 6.5 hours per day. Determine the value of N.

Option 1: 18

Option 2: 16

Option 3: 20

Option 4: 22

Team Careers360 25th Jan, 2024

Correct Answer: 18


Solution : Number of hours (N + 18) people worked in a day, $T_1$ = 7.5 hours
Number of days they worked for, $D_1$ = 20 days
Fraction of work completed by them, $W_1$ = 0.48
Number of hours (N + 12) people worked in a day,

54 Views

Question : From two points, lying on the same horizontal line, the angles of elevation of the top of the pillar are $\theta$ and $\phi$ ($\theta<\phi$). If the height of the pillar is $h$ m and the two points lie on the same sides of the pillar, then the distances between the two points are:

Option 1: $h(\tan\theta-\tan\phi)$ metre

Option 2: $h(\cot\phi-\cot\theta)$ metre

Option 3: $h(\cot\theta-\cot\phi)$ metre

Option 4: $h\frac{(\tan\theta \tan\phi)}{(\tan\phi-\tan\theta)}$ metre

Team Careers360 24th Jan, 2024

Correct Answer: $h(\cot\theta-\cot\phi)$ metre


Solution :
Let AB = height of pole = $h$ metre
$\angle$ACB = $\theta$, $\angle$ADB = $\phi$
In ∆ABD,
$\tan\phi=\frac{AB}{BD}$
⇒ $BD=h\cot\phi$
In ∆ABC,
$\tan\theta=\frac{AB}{BC}$
⇒ $BC=h\cot\theta$
∴ Required distance, CD
$=h\cot\theta-h\cot\phi$
$= h(\cot\theta-\cot\phi)$ metre
Hence, the correct answer is $h(\cot\theta-\cot\phi)$ metre.

35 Views

Question : Select the option that expresses the given sentence in active voice.
Would pizza or a burger rather be eaten by you?

Option 1: Would you rather eat pizza or a burger?

Option 2: Would you rather eaten pizza or a burger?

Option 3: Would you rather ate pizza or a burger?

Option 4: Would you eat pizza or a burger?

Team Careers360 24th Jan, 2024

Correct Answer: Would you rather eat pizza or a burger?


Solution : The first option is the correct choice.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.

The

21 Views

Question : Successive discounts of 10% and 10% are equivalent to a single discount of:

Option 1: 18%

Option 2: 19%

Option 3: 20%

Option 4: 21%

Team Careers360 25th Jan, 2024

Correct Answer: 19%


Solution : Single equivalent discount of 10% and 10% $=10+10-\frac{10×10}{100}=19\%$
Hence, the correct answer is 19%.

24 Views

Question : The area of a sector of a circle is 88 sq. cm., and the angle of the sector is 45°. Find the radius of the circle. (Use $\pi=\frac{22}{7}$)

Option 1: $3 \sqrt{ 11} \mathrm{~cm}$

Option 2: $4 \sqrt{ 14} \mathrm{~cm}$

Option 3: $6 \sqrt{ 13} \mathrm{~cm}$

Option 4: $5 \sqrt{ 14} \mathrm{~cm}$

Team Careers360 25th Jan, 2024

Correct Answer: $4 \sqrt{ 14} \mathrm{~cm}$


Solution : Given, that the angle of the sector is 45°.
The area of a sector of a circle is 88 sq. cm.
Let the radius of the circle be $r$ cm.
We know that Area of sector = $\frac{\theta}{360^{\circ}}\times \pi r^2$
According to

117 Views

Question : Comprehension:

Read the following passage and answer the questions given after it.

Wetlands are amongst the most productive ecosystems on the Earth and provide many important services to human society. They exhibit enormous diversity according to their genesis, geographical location, water regime and chemistry, dominant species, and soil and sediment characteristics. Globally, the area extent of wetland ecosystems ranges from 917 million hectares (m ha) to more than 1275 m ha. One of the first widely used wetland classification systems, devised by Cowardin et al., 1979, categorised wetlands into marine (coastal wetlands), estuarine (including deltas, tidal marshes, and mangrove swamps), lacustrine (lakes), riverine (along rivers and streams), and palustrine ( marshes, swamps and bogs) based on their hydrological, ecological and geological characteristics.The 

The Ramsar Convention on Wetlands was an international treaty signed in 1971. Overall, 1052 sites in Europe; 289 sites in Asia; 359 sites in Africa; 175 sites in South America; 211 sites in North America; and 79 sites in the Oceania region have been identified as Ramsar sites or wetlands of International importance. As per the Ramsar Convention definition most of the natural water bodies (such as rivers, lakes, coastal lagoons, mangroves, peat land, coral reefs) and man-made wetlands (such as ponds, farm ponds, irrigated fields, sacred groves, salt pans, reservoirs, gravel pits, sewage farms and canals) in India constitute the wetland ecosystem distributed in different geographical regions ranging from Himalayas to Deccan plateau. As of February 2022, India has 49 Ramsar sites covering an area of 10,93,636 hectares, the highest in South Asia. As per the estimates, India has about 757.06 thousand wetlands with a total wetland area of 15.3 m ha, accounting for nearly 4.7% of the total geographical area of the country. Out of this, areas under inland wetlands account for 69%, coastal wetlands 27%, and other wetlands (smaller than 2.25 ha) 4%. Gujarat has the highest proportion (17.5%) and Mizoram has the lowest proportion (0.66%) of the area under wetlands. Among Union Territories, Lakshadweep has the highest proportion (around 96%) and Chandigarh has the lowest proportion (3%) of the geographical area under wetlands.

Question:

Under which category of wetlands, are delta and mangrove swamps included?

Option 1: marine

Option 2: estuarine

Option 3: lacustrine

Option 4: palustrine

Team Careers360 24th Jan, 2024

Correct Answer: estuarine


Solution : The correct choice is the second option.

Explanation: Delta and mangrove swamps are included in the estuarine category of wetlands. The passage mentions that one of the wetland classification systems categorises wetlands into marine, estuarine, lacustrine, riverine, and palustrine based on their hydrological,

11 Views

Question : Directions: In a certain code language, ARMS is written as 5467 and LIAR is written as 1254. How is SMALL written in that code language?

Option 1: 76521

Option 2: 76512

Option 3: 76511

Option 4: 76544

Team Careers360 25th Jan, 2024

Correct Answer: 76511


Solution : Given:
ARMS is written as 5467 and LIAR is written as 1254.

Here, each letter of the word ARMS is coded with an equivalent number –
A→5; R→4; M→6; S→7
Thus, ARMS is coded as 5467.
And in, LIAR is written as 1254 –
L→1;

14 Views

Question : What is the Kyoto Protocol?

Option 1: It is an agreement among countries to take steps to reduce acid rain.

Option 2: It is an agreement among countries to take steps for planting trees to control pollution.

Option 3: It is an agreement among countries to start using nuclear energy.

Option 4: It is an agreement among countries to take steps to reduce global warming.

Team Careers360 25th Jan, 2024

Correct Answer: It is an agreement among countries to take steps to reduce global warming.


Solution : The correct option is It is an agreement among countries to take steps to reduce global warming.

The Kyoto Protocol is an international treaty aimed at addressing global climate change by reducing

42 Views

Question : A sentence has been given with a blank to be filled with an appropriate word. Choose the correct alternative.
This year, orange prices are forecast to grow, despite an expected increase in global___________.

Option 1: production

Option 2: organisation

Option 3: abduction

Option 4: assumption

Team Careers360 24th Jan, 2024

Correct Answer: production


Solution : The correct option is the first option.

Explanation:
Production refers to the act or process of manufacturing or creating goods or items. In the context of the sentence, the forecast is for orange prices to grow despite an expected increase in global production. This indicates

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