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18 Views

Question : What is the value of the positive square root of $(69+28\sqrt{5})$?

Option 1: $(7+2\sqrt{5})$

Option 2: $(7-2\sqrt{5})$

Option 3: $(2+7\sqrt{5})$

Option 4: $(2-7\sqrt{5})$

Team Careers360 22nd Jan, 2024

Correct Answer: $(7+2\sqrt{5})$


Solution : Given:
$x = 69+28\sqrt{5}$
$⇒ x = 49+20+2×7×2\sqrt{5}$
$⇒ x = 7^2+(2\sqrt{5})^2+2×7×2\sqrt{5}$
$⇒ x = (7+2\sqrt{5})^2$
So, the positive square root of $x$ is $(7+2\sqrt{5})$.
Hence, the correct answer is $(7+2\sqrt{5})$.

99 Views

Question : Directions: In a certain code language, CANADA is written as XZMZWZ, and AFRICA is written as ZUIRXZ. How will DEPRESSION be written in that language?

Option 1: XVKIVGGPLM

Option 2: WVKIVHHRLM

Option 3: XVKIVGGRLM

Option 4: WVKIVGGPLM

Team Careers360 24th Jan, 2024

Correct Answer: WVKIVHHRLM


Solution : Given:
CANADA is written as XZMZWZ, and AFRICA is written as ZUIRXZ.

Write the opposite letters of CANADA, to obtain the required code –
C→X, A→Z, N→M, A →Z, D→W, A→Z
Thus, CANADA is coded as XZMZWZ.
And in,  AFRICA is written as ZUIRXZ –

16 Views

Question : The Ganga Action Plan was directed by:

Option 1: Rajiv Gandhi

Option 2: Atal Bihari Vajpayee

Option 3: Manmohan Singh

Option 4: Indira Gandhi

Team Careers360 21st Jan, 2024

Correct Answer: Rajiv Gandhi


Solution : The correct answer is Rajiv Gandhi.

The Ganga Action Plan was launched in 1985 by Prime Minister Rajiv Gandhi. It was the first river action plan and was launched under the aegis of the Ministry of Environment, Forestry, and Climate Change (MoEFCC). Now, it

13 Views

Question : The simple interest on a sum for five years is two-fifths of the sum. The rate of interest per annum is:

Option 1: 1%

Option 2: 8%

Option 3: 6%

Option 4: 4%

Team Careers360 19th Jan, 2024

Correct Answer: 8%


Solution :
Time = 5 years
Let the principal be $x$
Rate = $r$
So, simple interest = $\frac{2x}{5}$
Simple interest =$\frac{\text{Principal×Rate×Time}}{100}$
⇒ $\frac{2x}{5}$ =$\frac{x×r×5}{100}$
⇒ $r = \frac{2x×100}{5×5x}$
⇒ $r = \frac{200x}{25x}$
$\therefore r = 8\%$ per annum
Hence, the correct answer is 8%.

15 Views

Question : The respective ratio between the height of the tower and the point at some distance from its foot is $5\sqrt{3}:5$. What will be the angle of elevation of the top of the tower?

Option 1: 30°

Option 2: 60°

Option 3: 90°

Option 4: 45°

Team Careers360 24th Jan, 2024

Correct Answer: 60°


Solution :
It is given that the respective ratio between the height of the tower and the point at some distance from its foot is $5\sqrt{3}:5$.
So, AB : BC = $5\sqrt{3}:5$
In ΔABC,
$\frac{AB}{BC}=\tan\theta$
⇒ $\frac{5\sqrt{3}}{5}=\tan\theta$
⇒ $\tan\theta=\sqrt{3}$
$\therefore \theta=60°$
Hence, the correct answer is 60°.

20 Views

Question : A Navy captain is going away from a lighthouse at the speed of $4(\sqrt3–1)$ m/s. He observed that it took him 1 minute to change the angle of elevation of the top of the lighthouse from 60° to 45°. What is the height (in meters) of the lighthouse?

Option 1: $240\sqrt{3}$

Option 2: $480(\sqrt{3}–1)$

Option 3: $360\sqrt{3}$

Option 4: $280\sqrt{2}$

Team Careers360 19th Jan, 2024

Correct Answer: $240\sqrt{3}$


Solution : Given: A Navy captain is going away from a lighthouse at the speed of $4(\sqrt3-1)$m/s.
Let the base length be $B_{1}$ when the elevation is 60° and the base length be $B_{2}$ when the elevation is 45° and the height of the lighthouse be H.

11 Views

Question : Which of the following is a natural fibre?

Option 1: Silk

Option 2: Rayon

Option 3: Nylon

Option 4: Polyester

Team Careers360 21st Jan, 2024

Correct Answer: Silk


Solution : The correct option is Silk.

Fibres are formed by the repetition of carbohydrates, or other substances. They are classified into two types- natural fibres, and artificial fibres. Natural fibres are those that are derived from plant, or animal tissues or geological processes. A few

15 Views

Question : Ravi buys salt at INR 16 per kg and sells it at INR 18 per kg. He also uses the weight of 900 gm instead of 1000 gm. What is Ravi’s actual profit percentage?

Option 1: $23 \%$

Option 2: $20 \%$

Option 3: $23 \frac{11}{18} \%$

Option 4: $25 \%$

Team Careers360 21st Jan, 2024

Correct Answer: $25 \%$


Solution : The cost price of 1000 gm of salt = INR 16
Cost of 900 gm of salt $= \frac{16}{1000}\times900 = 14.4$
The selling price of 900 gm salt = INR 18
Profit = 18 – 14.4 = 3.6
So, the Profit percentage = $\frac{\text{Profit}}{\text{Cost

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