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Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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Question 1 of 5
1. Question
Consider the two statements given below and the question that follows.
Statement I: Average of x, y and z is 42 years.
Statement II: Thrice the sum of the ages of x and y is 60 years.
Question: What is the age of z?
Which one of the following is correct in respect of the question and the statements?
Correct
Answer: Option (c)
Explanation:
Let’s check both the statements.
From Statement I:
(x + y + z)/3 = 42
Or x + y + z = 126
So, age of z can’t be calculated.
Thus, Only Statement I is not sufficient.
From Statement II:
3(x + y) = 60
Or x + y = 20
So, age of z can’t be calculated.
Thus, Only Statement II is not sufficient.
From both Statements I and II:
x + y + z = 126 ………… (i)
x + y = 20…………….. (ii)
Putting the value of (x + y) from equation (ii) in equation (i), we get:
20 + z = 126
Or z = 126 – 20 = 106
So, it is clear that both statements together are sufficient to answer the question. Hence, option (c) is correct.
Incorrect
Answer: Option (c)
Explanation:
Let’s check both the statements.
From Statement I:
(x + y + z)/3 = 42
Or x + y + z = 126
So, age of z can’t be calculated.
Thus, Only Statement I is not sufficient.
From Statement II:
3(x + y) = 60
Or x + y = 20
So, age of z can’t be calculated.
Thus, Only Statement II is not sufficient.
From both Statements I and II:
x + y + z = 126 ………… (i)
x + y = 20…………….. (ii)
Putting the value of (x + y) from equation (ii) in equation (i), we get:
20 + z = 126
Or z = 126 – 20 = 106
So, it is clear that both statements together are sufficient to answer the question. Hence, option (c) is correct.
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Question 2 of 5
2. Question
A rectangular ground has measurements 10m × 20m. If the length of the ground is increased by 50% and breadth is decreased by 25%, then the resultant area of ground will be
Correct
Answer: Option (b)
Explanation:
Given: Length (l) = 20 m & Breadth (b) = 10 m
Length after an increase of 50% = 20 × (150/100) = 30 m
Breadth after 25% decrease = 10 × (3/4) = 7.5 m
∴ Resultant area of rectangular ground = l × b = 30 × 7.5 = 225 m2 Hence, option (b) is correct.
Incorrect
Answer: Option (b)
Explanation:
Given: Length (l) = 20 m & Breadth (b) = 10 m
Length after an increase of 50% = 20 × (150/100) = 30 m
Breadth after 25% decrease = 10 × (3/4) = 7.5 m
∴ Resultant area of rectangular ground = l × b = 30 × 7.5 = 225 m2 Hence, option (b) is correct.
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Question 3 of 5
3. Question
Pankaj Tripati was born on 29th Feb, 2016 which happened to be a Monday. On what day would she celebrate her birthday next?
Correct
Answer: Option (d)
Explanation:
29th Feb, 2016 = Monday. So, 28th Feb, 2016 = Sunday
28th Feb, 2017 = Tuesday (because 2016 is a leap year, there will be 2 odd days)
Therefore, Feb 28th 2018 (Wednesday), Feb 28th 2019 (Thursday), Feb 28th 2020 (Friday), Feb 29th 2020 (Saturday). Hence, option (d) is correct.
Incorrect
Answer: Option (d)
Explanation:
29th Feb, 2016 = Monday. So, 28th Feb, 2016 = Sunday
28th Feb, 2017 = Tuesday (because 2016 is a leap year, there will be 2 odd days)
Therefore, Feb 28th 2018 (Wednesday), Feb 28th 2019 (Thursday), Feb 28th 2020 (Friday), Feb 29th 2020 (Saturday). Hence, option (d) is correct.
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Question 4 of 5
4. Question
Consider two Statements and a Question.
Statement-1: The angle of elevation of sunlight changes from 30° to 45°.
Statement-2: The length of the shadow of the pillar decreases by 12 m.
Question: Find the height of the pillar?
Which of the following is correct in respect of the statements and the question?
Correct
Answer: Option (a)
Explanation:
From statement 1 and 2:
When the angle of elevation of sunlight changes from 30° to 45°, the length of the shadow of the pillar decreases by 12 m.
Suppose the height of pillar is H.
From the figure:
tan 30° = H/(P + 12)
⇒ 1/√3 = H/(P +12)
⇒ P + 12 = H√3
And tan 45° = H/P
⇒ H = P
Hence, H + 12 = H√3
⇒ H = 12/(1.73 – 1)
⇒ H = 16.43 m Thus, both statements 1 and 2 are required to answer the question. Hence, option (a) is the correct answer.
Incorrect
Answer: Option (a)
Explanation:
From statement 1 and 2:
When the angle of elevation of sunlight changes from 30° to 45°, the length of the shadow of the pillar decreases by 12 m.
Suppose the height of pillar is H.
From the figure:
tan 30° = H/(P + 12)
⇒ 1/√3 = H/(P +12)
⇒ P + 12 = H√3
And tan 45° = H/P
⇒ H = P
Hence, H + 12 = H√3
⇒ H = 12/(1.73 – 1)
⇒ H = 16.43 m Thus, both statements 1 and 2 are required to answer the question. Hence, option (a) is the correct answer.
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Question 5 of 5
5. Question
Four school buses – bus A, bus B, bus C and bus D started moving towards East from the school. After moving 5 km, buses B and C start moving towards the right, while buses A and D start moving towards the left. After 8 km, buses B and C start moving towards their left, while buses A and D turn towards their right. In which directions are the buses A, B, C and D moving now respectively?
Correct
Answer: Option (d)
Explanation:
The path followed by the four buses has been depicted below:
Thus, buses A, B, C and D are all moving in the East direction now. Hence, option (d) is correct.
Incorrect
Answer: Option (d)
Explanation:
The path followed by the four buses has been depicted below:
Thus, buses A, B, C and D are all moving in the East direction now. Hence, option (d) is correct.
