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12 Views

Question : The value of $\frac{\sqrt{72}\times \sqrt{363}\times \sqrt{175}}{\sqrt{32}\times \sqrt{147}\times \sqrt{252}}$ is:

Option 1: $\frac{55}{42}$

Option 2: $\frac{45}{56}$

Option 3: $\frac{45}{28}$

Option 4: $\frac{55}{28}$

Team Careers360 21st Jan, 2024

Correct Answer: $\frac{55}{28}$


Solution : $\frac{\sqrt{72}\times \sqrt{363}\times \sqrt{175}}{\sqrt{32}\times \sqrt{147}\times \sqrt{252}}$
$=\sqrt{\frac{72}{32}} \times \sqrt{\frac{363}{147}} \times \sqrt{\frac{175}{252}}$
Simplifying each square root,
$=\sqrt{\frac{9}{4}} \times \sqrt{\frac{121}{49}} \times \sqrt{\frac{25}{36}}$
$=\frac{3}{2} \times \frac{11}{7} \times \frac{5}{6} = \frac{55}{28}$
Hence, the correct answer is $\frac{55}{28}$.

13 Views

Question : In which year did India make its One-Day International (ODI) debut?

Option 1: 1971

Option 2: 1974

Option 3: 1975

Option 4: 1972

Team Careers360 12th Jan, 2024

Correct Answer: 1974


Solution : The correct answer is 1974.

On July 13, 1974, the Indian cricket team played their first-ever One-Day International (ODI) against England at Headingley, Leeds. Ajit Wadekar led the Indian team. England defeated India by four wickets. The England team's captain was Michael Denness. 

9 Views

Question : Directions: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
ac_c_cb_acbcacbca_bc

Option 1: abbb

Option 2: bacc

Option 3: babc

Option 4: bbcc

Team Careers360 17th Jan, 2024

Correct Answer: bacc


Solution : Given:
ac_c_cb_acbcacbca_bc

To fill the series we have to divide the series→ac_c / _cb_ / acbc / acbc / a_bc
Let's check each option –
First option: abbb; acac / bcbb / acbc / acbc / abbc (No

89 Views

Question : Parts of the following sentence have been given as options. Select the option that contains a grammatical error.

He describes the place vivid / that inspired in us / a wish to visit / the same.

Option 1: He describes the place vivid

Option 2: the same.

Option 3: a wish to visit

Option 4: that inspired in us

Team Careers360 21st Jan, 2024

Correct Answer: He describes the place vivid


Solution : The correct choice is the first option.

The word vivid is an adjective, but it's not correctly structured in the sentence. In the corrected version, the word vividly is used to modify the verb describes to indicate the manner

23 Views

Question : When a watch is sold at $\frac{7}{8}$ th of the marked price, there is a profit of 25%. At what percentage more than the cost price has the marked price of the watch been fixed? [Give your answer correct to 2 decimal places.]

Option 1: 34.46%

Option 2: 42.86%

Option 3: 37.15%

Option 4: 30%

Team Careers360 21st Jan, 2024

Correct Answer: 42.86%


Solution : Use : 
Profit % = $\frac{\text{Profit}}{\text{Cost Price}}$×100
Let the Marked Price = $M$, Costb Price = $C$
According to the question
⇒ 25 = $\frac{\frac{7}{8}M - C}{C}$×100
⇒ $\frac{25}{100}$ = $\frac{7M - 8C}{8C}$
⇒ $\frac{1}{4}$ = $\frac{7M - 8C}{8C}$
⇒ $2C = 7M - 8C$

15 Views

Question : Directions: A girl walks 30 metres towards the south, then turns to her right and walks 30 metres, then turns to her left and walks 20 metres, then again turns to her left and walks 30 metres. How far is she from her initial position?

Option 1: 20 metres

Option 2: 30 metres

Option 3: 50 metres

Option 4: 60 metres

Team Careers360 14th Jan, 2024

Correct Answer: 50 metres


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 above figure, O is the starting point and D is the finishing point. So, OD is the distance from

15 Views

Question : In 1526, Babur defeated the Sultan of Delhi, Ibrahim Lodi at ______ and captured Delhi and Agra.

Option 1: Mathura

Option 2: Malwa

Option 3: Lahore

Option 4: Panipat

Team Careers360 14th Jan, 2024

Correct Answer: Panipat


Solution : The correct answer is Panipat.

In 1526, Babur, the Timurid ruler, achieved a significant victory when his Mughal forces defeated the larger army led by Ibrahim Lodi, the Sultan of Delhi. This historic battle took place on April 21 near the village of Panipat,

12 Views

Question : Directions: Which two numbers should be interchanged to make the given equation correct?
4 + 40 × 5 – 16 ÷ 8 = 79

Option 1: 16 and 4

Option 2: 4 and 40

Option 3: 5 and 16

Option 4: 40 and 16

Team Careers360 20th Jan, 2024

Correct Answer: 40 and 16


Solution : Given:
4 + 40 × 5 – 16 ÷ 8 = 79

Let's check the options –
First option: 16 and 4
On interchanging the numbers, we get –
16 + 40 × 5 – 4 ÷ 8 = 79
Solving the L.H.S.

13 Views

Question : Select the most appropriate synonym for the underlined word in the given sentence.
The hunter felt no compunction after killing the tiger.

Option 1: compulsion

Option 2: Pressure

Option 3: pleasure

Option 4: remorse

Team Careers360 18th Jan, 2024

Correct Answer: remorse


Solution : The correct choice is the fourth option.

In the given sentence, the word compunction is used to describe the hunter's lack of remorse or guilt after killing the tiger.

The meanings of the other words mentioned in the given context are:

  • Pressure: This
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