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22 Views

Question : In a triangle ABC, if $\angle B=90^{\circ}, \angle C=45^{\circ}$ and AC = 4 cm, then the value of BC is:

Option 1: $\sqrt{2} \mathrm{~cm}$

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

Option 3: $2 \sqrt{2} \mathrm{~cm}$

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

Team Careers360 16th Jan, 2024

Correct Answer: $2 \sqrt{2} \mathrm{~cm}$


Solution :

AC = 4 cm
$\angle B=90^{\circ}$
$\angle C=45^{\circ}$
$\therefore \angle A = 180^{\circ}-(90^{\circ}+45^{\circ}) = 45^{\circ}$
Since $\angle A= \angle C$,
$AB = BC$ -----------(i)
By Pythagoras theorem,
$AB^2 + BC^2 = AC^2$
⇒ $BC^2 +  BC^2 = 4^2$
⇒ $2BC^2 = 16$

17 Views

Question : In the higher latitudes (50°–70°) of the northern hemisphere, spectacular coniferous forests are found. These are also called _____________.

Option 1: Veld

Option 2: Tundra

Option 3: Llanos

Option 4: Taiga

Team Careers360 20th Jan, 2024

Correct Answer: Taiga


Solution : The correct option is Taiga.

In the higher latitudes (50°–70°) of the Northern Hemisphere, the spectacular coniferous forests are often referred to as "taiga." These forests are characterised by coniferous trees such as spruce, fir, and pine, and they play a crucial role in the

17 Views

Question : A big cube is formed by arranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimal. The percentage of exposed area that is coloured is:

Option 1: 25.9%

Option 2: 44.44%

Option 3: 35%

Option 4: 46%

Team Careers360 19th Jan, 2024

Correct Answer: 44.44%


Solution : Total number of cubes = 160 + 56 = 216
Thus, side of cube = $\sqrt[3]{216}$ = 6 unit
No. of cubes without exposure = (6 – 2)3 = 64
Thus, 64 coloured cubes will not be exposed.
Now, Number of coloured cubes on

57 Views

Question : A drink of chocolate and milk contains 8% pure chocolate by volume. If 10 litres of pure milk are added to 50 litres of this drink, the percentage of chocolate in the new drink is:

Option 1: $6 \frac{2}{3}$

Option 2: $5 \frac{2}{3}$

Option 3: $5 \frac{1}{3}$

Option 4: $6 \frac{1}{3}$

Team Careers360 18th Jan, 2024

Correct Answer: $6 \frac{2}{3}$


Solution : A drink of chocolate and milk contains 8% pure chocolate.
10 litres of pure milk are added to 50 litres of this drink.
Let $x$ be the percentage of chocolate in the new drink.
Using the above data in the alligation method, we have:

14 Views

Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary.
1. Temple
2. Trained
3. Training
4. Troupe
5. Tented

Option 1: 15234

Option 2: 15243

Option 3: 15432

Option 4: 14532

Team Careers360 15th Jan, 2024

Correct Answer: 15234


Solution : Given:
1. Temple 2. Trained 3. Training 4. Troupe 5. Tented

Step 1: Compare the first letter of each word. Since all the words start with the same letter T, then move to the next letter.
Step 2: The second letter of each word

30 Views

Question : Select the most appropriate option to fill in the blanks.

As cattle are to herd so are birds to ________.

Option 1: flock

Option 2: litter

Option 3: pack

Option 4: streak

Team Careers360 19th Jan, 2024

Correct Answer: flock


Solution : The correct choice is the first option.

Flock: A group of birds, typically of the same species, that fly, move, or feed together.

The meanings of the other options are as follows:

  • Litter: A group of young animals born to the same mother
17 Views

Question : The sum of the perfect squares between 120 and 300 is:

Option 1: 1400

Option 2: 1296

Option 3: 1024

Option 4: 1204

Team Careers360 21st Jan, 2024

Correct Answer: 1400


Solution : Perfect squares between 120 and 300 are 121, 144, 169, 196, 225, 256 and 289.
The sum = (121 + 144 + 169 + 196 + 225 + 256 + 289) = 1400
Hence, the correct answer is 1400.

7 Views

Question : The percentage of the earth's water found in the oceans is ______.

Option 1: 94%

Option 2:  97.2%

Option 3: 90.2%

Option 4: 92.2%

Team Careers360 15th Jan, 2024

Correct Answer:  97.2%


Solution : The correct option is 97.2%.

The vast majority of Earth's water, around 97.2%, is saline and found in the oceans. Only about 2.5% of Earth's water is freshwater, and the majority of that is locked in ice caps, glaciers, and underground aquifers.

The relatively

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