Directions : Given graph shows the number of orders received and cancelled on…
2019
Directions : Given graph shows the number of orders received and cancelled on particular days of a week (From Monday to Saturday) while the table shows the number of orders which were not delivered. Read the data carefully and answer the questions.
(NOTE: Refer Y-Axis values as number of orders while X-Axis values as Days i.e. 20 = Monday, 40 = Tuesday and so on)
(Orders continued/booked are those which are not cancelled)
Some data is missing in the given graph.
Orders Booked = Orders Received – Orders Cancelled
Orders Delivered = Orders Booked – Orders not delivered
if orders delivered on Tuesday are 33⅓% less than orders booked on Thursday while average of orders delivered on Friday & Saturday is 195 and orders booked on Friday are more than orders delivered on Saturday then which of the following is definitely true?
- A.
orders cancelled on Tuesday are more than that on Friday.
- B.
difference between orders cancelled on Tuesday & Saturday is 322.
- C.
orders delivered on Friday are always more than orders received on Wednesday.
- D.
difference between orders delivered on Monday & Friday can be 160.
- E.
more number of orders were cancelled on Friday than number of orders not delivered on Friday.
Show answer & explanation
Correct answer: D
Concept
In a missing-data interpretation set, you first lock every quantity the diagram fixes, then convert each given verbal condition into an equation. A statement that says a value "can be" something is asking whether at least one feasible assignment of the unknowns produces it, whereas "definitely / always" demands it hold for every feasible assignment. The chain is: Booked = Received − Cancelled, and Delivered = Booked − Not-delivered.
Reading the diagram
From the graph and the not-delivered table, the fixed values are:
Day | Received | Cancelled | Not delivered |
|---|---|---|---|
Monday | 600 | 200 | 120 |
Tuesday | 400 | missing | 80 |
Wednesday | 500 | 200 | 160 |
Thursday | 600 | 240 | 300 |
Friday | missing | 80 | 200 |
Saturday | 400 | missing | 120 |
Applying the conditions
Thursday booked = 600 − 240 = 360.
Tuesday delivered = 33⅓% less than Thursday booked = 360 × (2/3) = 240, so Tuesday booked = 240 + 80 = 320 and Tuesday cancelled = 400 − 320 = 80.
Monday booked = 600 − 200 = 400, so Monday delivered = 400 − 120 = 280.
Let Saturday cancelled = C. Then Saturday delivered = (400 − C) − 120 = 280 − C.
Let Friday received = R. Then Friday delivered = (R − 80) − 200 = R − 280.
Average of Friday and Saturday delivered is 195, so their sum is 390: (R − 280) + (280 − C) = 390, giving R − C = 390.
Feasible ranges
Non-negativity forces C in the interval 0 to 280 (Saturday delivered cannot be negative). Then Friday delivered = R − 280 = (390 + C) − 280 = 110 + C, which ranges over 110 to 390. The condition "Friday booked > Saturday delivered" reduces to 390 + 2C > 360, which holds for every allowed C, so it adds nothing.
Testing the claim about Monday vs Friday delivered
Monday delivered is fixed at 280. Friday delivered is 110 + C. So the gap between them is |280 − (110 + C)| = |170 − C|. As C runs over 0 to 280, this gap runs over 0 to 170, and it equals 160 exactly when C = 10 (a perfectly valid Saturday-cancelled figure). Hence a gap of 160 between Monday and Friday delivered is attainable — the "can be 160" claim is the one that holds.
Cross-check on the rival claims
The "cancelled on Tuesday more than on Friday" claim fails: both come out to 80, so one is not more than the other.
The "difference of cancelled on Tuesday and Saturday is 322" claim would need Saturday cancelled = 80 ± 322, i.e. 402 or −242 — both outside the feasible 0–280 band, so it is impossible.
The "Friday delivered always exceeds Wednesday received (500)" claim fails because Friday delivered tops out at 390, never reaching 500.
The "more cancelled than not-delivered on Friday" claim fails: Friday cancelled is 80 while Friday not-delivered is 200.
Only the Monday–Friday delivered gap of 160 survives, so the difference between orders delivered on Monday and Friday can be 160.