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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: $\frac{55}{28}$
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 $\frac{55}{28}$.
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
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.
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
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
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
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
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%
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 ⇒ $\frac{25}{100}$ = $\frac{7M - 8C}{8C}$ ⇒ $\frac{1}{4}$ = $\frac{7M - 8C}{8C}$ ⇒ $2C = 7M - 8C$
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
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
Question : Directions: On interchanging the given two numbers, which of the following equations will be correct? 1 and 6 I. 7 – 5 + 1 × 3 ÷ 6 = 20 II. 1 × 7 + 6 – 4 ÷ 2 = 40
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Only I
Solution : Given: I. 7 – 5 + 1 × 3 ÷ 6 = 20 II. 1 × 7 + 6 – 4 ÷ 2 = 40
I. 7 – 5 + 1 × 3 ÷ 6 = 20 On interchanging the numbers in the first
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
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,
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
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.
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
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:
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