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Question : A circular running path is 1452 m in circumference. Two men start from the same point and walk in opposite directions at speeds of 7.5 km/h and 9 km/h, respectively. When will they meet for the first time?
Option 1: 5.17 min
Option 2: 5.28 min
Option 3: 5.71 min
Option 4: 5.82 min
Correct Answer: 5.28 min
Solution : Relative speed = (9 + 7.5) = 16.5 km/h Distance = $\frac{1452}{1000}$ = 1.452 km Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{1.452}{16.5}$ hr = $\frac{1.452}{16.5}×60$ min = 5.28 min Hence, the correct answer is 5.28 min.
Question : Directions: Which two signs should be interchanged to make the given equation correct? 459 + 17 × 12 ÷ 72 – 47 = 349
Option 1: ÷ and +
Option 2: ÷ and –
Option 3: + and ×
Option 4: – and +
Correct Answer: ÷ and +
Solution : Given: 459 + 17 × 12 ÷ 72 – 47 = 349
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: ÷ and + ⇒ 459 ÷ 17 × 12 + 72–
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
They were laid / in the sun / the entire morning / till Sudharshan came.
Option 1: till Sudharshan came
Option 2: They were laid
Option 3: the entire morning
Option 4: in the sun
Correct Answer: They were laid
Solution : The correct choice is the second option.
The error lies in the use of the verb laid. The correct verb in this context should be lay. The verb, lay is the past tense of lie when it means to recline or be in
Question : If a + b = 17 and a – b = 9, the value of (4a2 + 4b2) is:
Option 1: 710
Option 2: 720
Option 3: 730
Option 4: 740
Correct Answer: 740
Solution : Given: a + b = 17------------ (i) a – b = 9------------ (ii) Adding equation (i) and equation (ii), we get, a + b + a – b = 17 + 9 ⇒ 2a = 26 $\therefore$ a = 13 Replace a with 13 in
Question : Directions: Which two signs should be interchanged to make the given equation correct? 60 × 4 + 9 ÷ 3 – 8 = 34
Option 1: + and –
Option 2: ÷ and +
Option 4: ÷ and ×
Correct Answer: ÷ and ×
Solution : Given: 60 × 4 + 9 ÷ 3 – 8 = 34
Replace the given symbols in the options one by one with the original symbols in the given equation – First option: + and – = 60 × 4 – 9 ÷
Question : The graphs of the linear equations $4x – 2y = 10$ and $4x + ky = 2$ intersect at a point $(a, 4)$. The value of $k$ is equal to:
Option 1: 4
Option 2: –3
Option 3: 3
Option 4: –4
Correct Answer: –4
Solution : Given: The graphs of the linear equations $4x – 2y = 10$ and $4x + ky = 2$ intersect at a point $(a, 4)$. $4x – 2y = 10$ (equation 1) $4x + ky = 2$ (equation 2) The point $(a,4)$ satisfies the given equations.
Question : The ratio between the speeds of two cars is 5 : 7. If the first car runs 200 km in 4 hours, then what is the speed of the second car?
Option 1: 65 kmph
Option 2: 60 kmph
Option 3: 50 kmph
Option 4: 70 kmph
Correct Answer: 70 kmph
Solution : Given, Speed ratio of two cars = 5 : 7 Distance covered by the first car = 200 km Time taken by the first car = 4 hours ⇒ The speed of the first car = $\frac{200}{4}$ kmph = 50 kmph Since the ratio
Question : The people of the Indus Valley Civilisation worshipped Which of the following?
Option 1: Vishnu
Option 2: Pashupati
Option 3: Indra
Option 4: Brahma
Correct Answer: Pashupati
Solution : The correct answer is Pashupati.
Indus Valley Civilisation is one of the most ancient civilisations in the world and is also known as the Harappan civilisation. According to seals discovered, the deity worshipped during that time was Pashupati.
Question : In the sentence identify the segment that contains the grammatical error. From all perspectives, the current situation is an unprecedented and unfortunate ones for the country.
Option 1: the current situation
Option 2: unfortunate ones for the country
Option 3: from all perspectives
Option 4: is an unprecedented and
Correct Answer: unfortunate ones for the country
Solution : The error lies in the second option.
The grammatical error in the sentence is the incorrect use of the plural form ones after the adjective unfortunate. It should be unfortunate to convey that the current situation is unprecedented and unfortunate for
Question : 4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can complete it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?
Option 1: 13
Option 2: 14
Option 3: 15
Option 4: 11
Correct Answer: 13
Solution : According to the question (4 men + 5 women) × 15 = (9 men + 6 women) × 10 ⇒ (4 men + 5 women) × 3 = (9 men + 6 women) × 2 ⇒ 12 men + 15 women = 18 men +
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