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Question : A circular park whose diameter is 210 m has a 5 m wide path running around it (on the outside). What is the area (in m²) of the path?

Option 1: 1020$\pi$

Option 2: 1075$\pi$

Option 3: 1050$\pi$

Option 4: 1100$\pi$

Team Careers360 24th Jan, 2024

Correct Answer: 1075$\pi$


Solution : According to the question,
Inner radius of the park(r) = $\frac{\text{210 m}}{2}$ = 105 m
Outer radius of the park (R) = 105 m + 5 m = 110 m
Area of circular path =  ${π(R ^{2} − r^{2}})$
= ${π((110)^{2} - (105)^{2})}$
= $π((12100)

14 Views

Question : Directions: In the following question, select the related number from the given alternatives.
107 : 11449 :: 106 : ?

Option 1: 10636

Option 2: 11206

Option 3: 11236

Option 4: 11272

Team Careers360 24th Jan, 2024

Correct Answer: 11236


Solution : Given:
107 : 11449 :: 106 : ?

1072 = 11449 (11449 is the square of 107.)
Similarly, 1062 = 11236 (11236 is the square of 106.)

Hence, the third option is correct.

18 Views

Question : Select the option that will improve the (bracketed) part of the sentence. In case of no improvement select the option 'No Improvement'.

There's even a (picture by which a witch is riding) a broomstick on the sides of the police cars.

Option 1: No Improvement

Option 2: pictures of witch riding

Option 3: picture of a witch riding

Option 4: picture that of a witch riding

Team Careers360 24th Jan, 2024

Correct Answer: picture of a witch riding


Solution : The correct choice is the third option.

The phrase "picture by which a witch is riding" uses the incorrect preposition and does not concisely convey the intended meaning. It should be replaced with "picture of a witch riding", as it

17 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Hope you had a pleasant stay (on) the hotel.

(1) at

(2) from

(3) of

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 24th Jan, 2024

Correct Answer: (1)


Solution : The sentence can be improved using the first option.

The original sentence "Hope you had a pleasant stay on the hotel" contains a prepositional error. When referring to staying at a hotel, one should use the preposition at to indicate the location where the

11 Views

Question : The tower is 50 metres high, its shadow is $x$ metres shorter when the sun's elevation is $45°$ than when it is $30°$. The value of $x$ (in metres) is:

Option 1: $50\sqrt{3}$

Option 2: $50\left ({\sqrt3-1} \right)$

Option 3: $50\left ({\sqrt3+1} \right)$

Option 4: $50$

Team Careers360 25th Jan, 2024

Correct Answer: $50\left ({\sqrt3-1} \right)$


Solution :
Let the height of the tower be $BC$, the shadow of the tower when the sun’s altitude is 30° be $AB$ and the shadow of the tower when the sun’s elevation is 45° be $DB$.
Given: $BC$ = 50 m
And $AB -

19 Views

Question : If $A=\frac{2}{3}+\frac{4}{7}$ of $\frac{14}{12}$ and $B=\frac{5}{12}$ of $\frac{7}{15} \times \frac{36}{21}$, then what is the value of $A + B$?

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

Option 2: $2$

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

Option 4: $\frac{2}{3}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{5}{3}$


Solution : $A=\frac{2}{3}+\frac{4}{7}$ of $\frac{14}{12}$
$=\frac{2}{3}+\frac{4}{7}\times\frac{14}{12}$
$=\frac{4}{3}$
$B=\frac{5}{12}$ of $\frac{7}{15} \times \frac{36}{21}$
$=\frac{5}{12}\times\frac{7}{15} \times \frac{36}{21}$
$=\frac{1}{3}$
$⇒ A + B =\frac{4}{3}+\frac{1}{3}= \frac{5}{3}$
Hence, the correct answer is $\frac{5}{3}$.

97 Views

Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
11 * 7 * 345 * 5 * 31 = 115

Option 1: +, ×, ÷, −

Option 2: ×, +, ÷, −

Option 3: ÷, ×, +, −

Option 4: ÷, −, +, ×

Team Careers360 24th Jan, 2024

Correct Answer: ×, +, ÷, −


Solution : Given:
11 * 7 * 345 * 5 * 31 = 115

Let's check the options –
First option: +, ×, ÷, −
⇒ 11 + 7 × 345 ÷ 5 − 31 = 115
Solving the L.H.S. of the equation –

11 Views

Question : If ${P}_1, {P}_2$, and ${P}_3$ are three distinct prime numbers, then what is the least common multiple of ${P}_1, {P}_2$, and ${P}_3$ ?

Option 1: $P_1$

Option 2: $P_1 \times P_2 \times P_3$

Option 3: $P_2 \times P_3$

Option 4: ${P}_1+{P}_2+{P}_3$

Team Careers360 25th Jan, 2024

Correct Answer: $P_1 \times P_2 \times P_3$


Solution : The least common multiple (LCM) of three distinct prime numbers, P1, P2, and P3, is simply their product, $P_1 \times P_2 \times P_3$.
To see why, we can use the fact that the LCM of any set of numbers is the

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