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Question 1 of 10
1. Question
1 points
Category: Quantitative Aptitude
Directions (Q1-5). A farmer harvests six types of crops and vegetables in a square field with side 50 m. The pie chart below shows the percentage area covered by each.
The area covered by Wheat is by what percent more than that of by Mustard?
Directions (Q1-5). A farmer harvests six types of crops and vegetables in a square field with side 50 m. The pie chart below shows the percentage area covered by each.
What is the difference between the area covered by potatoes and that of by onions?
Correct
Answer- 1) 350 m2 Explanation- Total area of the square field = (50)2 = 2500 m2
Required difference = (23 – 9) % of 2500 = 14% of 2500 = 350 m2
Incorrect
Answer- 1) 350 m2 Explanation- Total area of the square field = (50)2 = 2500 m2
Required difference = (23 – 9) % of 2500 = 14% of 2500 = 350 m2
Question 3 of 10
3. Question
1 points
Category: Quantitative Aptitude
Directions (Q1-5). A farmer harvests six types of crops and vegetables in a square field with side 50 m. The pie chart below shows the percentage area covered by each.
What is the total area covered by wheat, maize and onions together?
Correct
Answer- 5) 1175 m2 Explanation- Total area covered by wheat, maize and onions together = (27 + 11 + 9) % of 2500 = 47% of 2500 = 1175 m2
Incorrect
Answer- 5) 1175 m2 Explanation- Total area covered by wheat, maize and onions together = (27 + 11 + 9) % of 2500 = 47% of 2500 = 1175 m2
Question 4 of 10
4. Question
1 points
Category: Quantitative Aptitude
Directions (Q1-5). A farmer harvests six types of crops and vegetables in a square field with side 50 m. The pie chart below shows the percentage area covered by each.
Farmer’s land is in fact in the form of a circle and square is in the circle with each vertical on the circumference of the circle. The rest of the land is wasteland. The area of the wasteland is how much more than the area covered by maize?
Correct
Answer- 2) 1153.57 m2 Explanation- length of the diagonal of the square = √2 × side = 50√2 m
Since the square is inside the square
Radius of the circle = 50√2/2 = 50/√2 m
Area of the circle = ∏r2 = 22/7 (50/√2)2 = 27500/7 m2
Area of the wasteland = 27500/7 – 2500 = 10000/7 m2
Area covered by maize = 11% of 2500 = 275 m2
Answer- 2) 1153.57 m2 Explanation- length of the diagonal of the square = √2 × side = 50√2 m
Since the square is inside the square
Radius of the circle = 50√2/2 = 50/√2 m
Area of the circle = ∏r2 = 22/7 (50/√2)2 = 27500/7 m2
Area of the wasteland = 27500/7 – 2500 = 10000/7 m2
Area covered by maize = 11% of 2500 = 275 m2
Directions (Q1-5). A farmer harvests six types of crops and vegetables in a square field with side 50 m. The pie chart below shows the percentage area covered by each.
What is the ratio of area covered by wheat and to that of by onion?
Correct
Answer- 3) 3:1
Explanation- Required ratio = 27:9 = 3:1
Incorrect
Answer- 3) 3:1
Explanation- Required ratio = 27:9 = 3:1
Question 6 of 10
6. Question
1 points
Category: Quantitative Aptitude
Directions (Q6 and 7). The following questions are accompanied by two statements (l) and (ll). You have to determine which statement (s) is/are sufficient to answer the questions.
What is the difference between cost prize for B and the cost prize for D?
(l) A sells the article to B at a profit of 20% and B sells it to C at a profit of 30%. C sells it to D for Rs 1092.
(ll) The ratio of cost prize for A to the cost prize for B is 5:6 and the ratio of cost prize for C to the cost prize for D is 5:7.
Correct
Answer-4) Both (l) and (ll) together.
Explanation- By using statement (l) alone we can’t calculate the difference because we don’t know the profit or loss percent for which C sold the article to D.
Also by using statement (ll) alone we can’t calculate the difference because we don’t know even single cost prize.
By using both statements together, we have,
Profit percent for which C sells the article to D = (7 – 5)/5 × 100 = 40%
Cost prize for C = 1092/140 × 100 = Rs 780
Cost prize for B = 780/130 × 100 = Rs 600
Required difference = 1092 – 600 = Rs 492
Incorrect
Answer-4) Both (l) and (ll) together.
Explanation- By using statement (l) alone we can’t calculate the difference because we don’t know the profit or loss percent for which C sold the article to D.
Also by using statement (ll) alone we can’t calculate the difference because we don’t know even single cost prize.
By using both statements together, we have,
Profit percent for which C sells the article to D = (7 – 5)/5 × 100 = 40%
Cost prize for C = 1092/140 × 100 = Rs 780
Cost prize for B = 780/130 × 100 = Rs 600
Required difference = 1092 – 600 = Rs 492
Question 7 of 10
7. Question
1 points
Category: Quantitative Aptitude
Directions (Q6 and 7). The following questions are accompanied by two statements (l) and (ll). You have to determine which statement (s) is/are sufficient to answer the questions.
The floor of a room is in the form of a square with each side equal to 8m. What is the area of four walls of the room?
(l) The total surface area of the room is 448 m2
(ll) The height of the room is 10 m.
Correct
Answer- 2) Either (l) or (ll) Explanation- the perimeter of the floor = 4 × 8 = 32 m
By using statement (l),
Let the height of the room is h. Then,
Total surface area of the room = 32 × h + 2 × (8)2 = 448
By solving we have, h = 10 m
Area of four walls = perimeter × height = 32 × 10 = 320 m2
By using statement (ll)
Height is already given. So we can easily calculate the area of walls by using this statement alone.
Incorrect
Answer- 2) Either (l) or (ll) Explanation- the perimeter of the floor = 4 × 8 = 32 m
By using statement (l),
Let the height of the room is h. Then,
Total surface area of the room = 32 × h + 2 × (8)2 = 448
By solving we have, h = 10 m
Area of four walls = perimeter × height = 32 × 10 = 320 m2
By using statement (ll)
Height is already given. So we can easily calculate the area of walls by using this statement alone.
Question 8 of 10
8. Question
1 points
Category: Quantitative Aptitude
Compare the numerical values of the quantities given below and choose the correct option.
Quantity 1- No of days taken by B to complete the work. A and B together can complete the work in 16/3 days, B and C together can complete the work in 80/7 days and A and C together can complete the work in 20/3 days.
Quantity 2- Value of x if x2 – 32x + 256 = 0
Correct
Answer- 5) Quantity 1 = quantity 2
Explanation- We have,
A + B = 15
B + C = 7
C + A = 12
By solving, we have, B = 5
No of days taken by B to complete the work = 80/5 = 16 days = quantity 1
We have, x2 – 32x + 256 = 0 or x2 – 16x – 16x + 256 = 0
Therefore, (x – 16)(x – 16) = 0,
So, x = 16 = quantity 2
Therefore, both the quantities are equal.
Incorrect
Answer- 5) Quantity 1 = quantity 2
Explanation- We have,
A + B = 15
B + C = 7
C + A = 12
By solving, we have, B = 5
No of days taken by B to complete the work = 80/5 = 16 days = quantity 1
We have, x2 – 32x + 256 = 0 or x2 – 16x – 16x + 256 = 0
Therefore, (x – 16)(x – 16) = 0,
So, x = 16 = quantity 2
Therefore, both the quantities are equal.
Question 9 of 10
9. Question
1 points
Category: Quantitative Aptitude
A car travels one third of the distance with a speed of 30 km/h, the next one third with a speed of 50 km/h and the last one third with a speed of 60 km/h. Average speed of the car for the whole journey is:
Correct
Answer- 2) 300/7 km/h
Explanation- Average speed of the car = 3xyz/(xy + yz + xz) = 3 × 30 × 50 × 60/(30 × 50 + 50 × 60 + 60 × 30) = 270000/6300 = 300/7 km/h
Incorrect
Answer- 2) 300/7 km/h
Explanation- Average speed of the car = 3xyz/(xy + yz + xz) = 3 × 30 × 50 × 60/(30 × 50 + 50 × 60 + 60 × 30) = 270000/6300 = 300/7 km/h
Question 10 of 10
10. Question
1 points
Category: Quantitative Aptitude
The interest rate of a bank is 9% per annum compounded annually. A person deposits Rs 25000 in that bank. After how many years the deposit will become Rs 32375.725?
Correct
Answer- 2) 3 years
Explanation- percentage increase in the deposit after 3 years = (32375.725 – 25000)/25000 × 100 = 737572.5/25000 = 29.5029 %
Since 9 × 3 = 27 and 29.5029 is little more than 27, 3 years is the only answer possible.
Incorrect
Answer- 2) 3 years
Explanation- percentage increase in the deposit after 3 years = (32375.725 – 25000)/25000 × 100 = 737572.5/25000 = 29.5029 %
Since 9 × 3 = 27 and 29.5029 is little more than 27, 3 years is the only answer possible.
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