Comprehension
A company manufactured cups of four different types. The table given below shows the number of cups of four different types manufactured by the company in four different weeks of a month.
The number of cups of type D manufactured in week IV is 480 less than the number of cups of type A manufactured in week I. The number of cups of type C manufactured in week II is 1/6 of the total number of the cups of type B manufactured. The number of cups of type A manufactured in week III is 220 more than the number of cups of type B manufactured in week I.
| Types | Week I | Week II | Week III | Week IV | Total |
| Type A | 2650 | 1640 | - | - | 8820 |
| Type B | - | 1520 | 1650 | 1730 | - |
| Type C | 3240 | - | - | 2550 | 8750 |
| Type D | 2960 | 1220 | - | - | 8270 |
| Total | 10730 | - | 7530 | - | - |
Question: 1
What is the number of cups of type A manufactured in week IV ?
What is the number of cups of type A manufactured in week IV ?
Updated On: Sep 10, 2024
- 2570
- 2360
- 2210
- 2430
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The Correct Option is D
Solution and Explanation
The number of cups of type B manufactured in week I = 10730 - 2650 - 3240 - 2960 = 1880
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
Required number of cups of type A manufactured in week IV = 2430
So, the correct option is (D) : 2430.
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
| Types | Week I | Week II | Week III | Week IV | Total |
| Type A | 2650 | 1640 | 2100 | 2430 | 8820 |
| Type B | 1880 | 1520 | 1650 | 1730 | 6780 |
| Type C | 3240 | 1130 | 1860 | 2550 | 8780 |
| Type D | 2960 | 1220 | 1920 | 2170 | 8270 |
| Total | 10730 | 5510 | 7530 | 8880 | 32650 |
So, the correct option is (D) : 2430.
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Question: 2
What is the ratio of the number of cups of type B manufactured in week I to the number of cups of type C manufactured in week III ?
What is the ratio of the number of cups of type B manufactured in week I to the number of cups of type C manufactured in week III ?
Updated On: Sep 10, 2024
- 94 : 93
- 87 : 85
- 80 : 79
- 90 : 87
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The Correct Option is A
Solution and Explanation
The number of cups of type B manufactured in week I = 10730 - 2650 - 3240 - 2960 = 1880
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
Required ratio = 1880 : 1860 = 94 : 93
So, the correct option is (A) : 94 : 93.
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
| Types | Week I | Week II | Week III | Week IV | Total |
| Type A | 2650 | 1640 | 2100 | 2430 | 8820 |
| Type B | 1880 | 1520 | 1650 | 1730 | 6780 |
| Type C | 3240 | 1130 | 1860 | 2550 | 8780 |
| Type D | 2960 | 1220 | 1920 | 2170 | 8270 |
| Total | 10730 | 5510 | 7530 | 8880 | 32650 |
So, the correct option is (A) : 94 : 93.
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Question: 3
Find the total number of cups of all types manufactured in week II.
Find the total number of cups of all types manufactured in week II.
Updated On: Sep 10, 2024
- 5260
- 5510
- 5780
- 5920
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The Correct Option is B
Solution and Explanation
The number of cups of type B manufactured in week I = 10730 - 2650 - 3240 - 2960 = 1880
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
Required total number of cups of all types manufactured in week II = 5510
So, the correct option is (B) : 5510.
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
| Types | Week I | Week II | Week III | Week IV | Total |
| Type A | 2650 | 1640 | 2100 | 2430 | 8820 |
| Type B | 1880 | 1520 | 1650 | 1730 | 6780 |
| Type C | 3240 | 1130 | 1860 | 2550 | 8780 |
| Type D | 2960 | 1220 | 1920 | 2170 | 8270 |
| Total | 10730 | 5510 | 7530 | 8880 | 32650 |
So, the correct option is (B) : 5510.
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Question: 4
What is the number of cups of type D manufactured in week III ?
What is the number of cups of type D manufactured in week III ?
Updated On: Sep 10, 2024
- 2110
- 2050
- 1840
- 1920
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The Correct Option is D
Solution and Explanation
The number of cups of type B manufactured in week I = 10730 - 2650 - 3240 - 2960 = 1880
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
Required number of cups of type D manufactured in week III = 1920
So, the correct option is (D) : 1920.
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
| Types | Week I | Week II | Week III | Week IV | Total |
| Type A | 2650 | 1640 | 2100 | 2430 | 8820 |
| Type B | 1880 | 1520 | 1650 | 1730 | 6780 |
| Type C | 3240 | 1130 | 1860 | 2550 | 8780 |
| Type D | 2960 | 1220 | 1920 | 2170 | 8270 |
| Total | 10730 | 5510 | 7530 | 8880 | 32650 |
So, the correct option is (D) : 1920.
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Question: 5
What is the difference between the total number of cups of type B manufactured in all the weeks together, and the total number of cups of all types manufactured in week IV ?
What is the difference between the total number of cups of type B manufactured in all the weeks together, and the total number of cups of all types manufactured in week IV ?
Updated On: Sep 10, 2024
- 2450
- 2100
- 2320
- 2430
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The Correct Option is B
Solution and Explanation
The number of cups of type B manufactured in week I = 10730 - 2650 - 3240 - 2960 = 1880
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
Required differences = 8880 - 6780 = 2100
So, the correct option is (B) : 2100.
The total number of cups of type B manufactured =1880 + 1520 + 1650 + 1730 = 6780
The number of cups of type C manufacture in week II = 6780 × \(\frac{1}{6}\) = 1130
The total number of cups of all types manufactured in week II = 1640 + 1520 + 1130 + 1220 = 5510
The number of cups of type A manufactured in week III = 1880 + 220 = 2100
The number of cups of type A manufactured in week IV = 8820 - 2650 - 1640 - 2100 = 2430
The number of cups of type D manufactured in week IV = 2650 - 480 = 2170
The number of cups of type C manufactured in week III = 8780 - 3240 - 1130 - 2550 = 1860
The number of cups of type D manufactured in week III = 8270-2960 - 1220 - 2170 = 1920
The total number of cups of all types manufactured in week IV = 2430 +1730 + 2550 + 2170 = 8880
| Types | Week I | Week II | Week III | Week IV | Total |
| Type A | 2650 | 1640 | 2100 | 2430 | 8820 |
| Type B | 1880 | 1520 | 1650 | 1730 | 6780 |
| Type C | 3240 | 1130 | 1860 | 2550 | 8780 |
| Type D | 2960 | 1220 | 1920 | 2170 | 8270 |
| Total | 10730 | 5510 | 7530 | 8880 | 32650 |
So, the correct option is (B) : 2100.
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