If all the Guns started firing at 12 00 pm how many total bullets would be left to be fired by the 3...........

Quantitative Aptitude(IBPS CL) Case Studies

Direction: Study the following information carefully and answer the questions that follow.
There are three different Guns A, B and C. Different numbers of bullets are fired from each Gun. A few of them hit the target while others missed.
Gun A: 70% of the total number of fired bullets missed the target.
Gun B: Total 900 bullets were fired and 33.33% hit the target.
Gun C: 450 bullets hit the target.
The number of bullets that hit the target by Gun A is 20% less than that by Gun B . The number of bullets that missed the target by Gun C is 6.25% less than the number of bullets fired by Gun A. Time gap between the firing of two bullets is 5 seconds, 3 seconds and 7 seconds for Gun A, Gun B and Gun C respectively.

If all the Guns started firing at 12.00 pm, how many total bullets would be left to be fired by the 3 guns after 30 minutes? (It is known that none of the guns fired any time before 12:00 pm).

1683

1720

1672

1540

None of these

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Explanation:

Gun B:
Total number of bullets fired = 900
Number of bullets that hit the target = 900 × 33.33% = 300
Number of bullets that missed the target = 900 – 300 = 600
Gun A:
Number of bullets that hit the target = 300 × 80% = 240
Total number of bullets fired =240/30 x 100 = 800
Number of bullets missed the target = 800 – 240 = 560
Gun C:
Number of bullets missed the target = 800 × (100 – 6.25)% = 750
Number of bullets hit the target = 450
Total number of bullets fired = 750 + 450 = 1200

Using the previous concept of number of terms in Arithmetic progression.
Number of bullets fired by Gun A in 30 minutes = (30x60)/5 + 1 = 361 ( here ⌊x⌋ is the greatest integer function)
Number of bullets fired by Gun B in 30 minutes =(30x60)/3 + 1 = 601
Number of bullets fired by Gun C in 30 minutes =(30x60)/7 + 1 = 258
Remaining number of bullets in all Guns = (800 + 900 + 1200) – (361 + 601 + 258) = 1680
Hence, option E is correct.

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