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Caselet DI For Upcoming Banking Examination 2023

Question

Answer the questions based on the information given below.

Machine X launched [A] missiles, of which only [B]% found their mark, resulting in a target hit count that was 36 less than the number of missiles launched by Machine Y that didn't reach the target, which in turn was [C]. The total number of missiles launched by Machine Y is 432, which is [E] times that of Machine X. [C] was 40% more than the number of missiles launched by Machine Y that successfully hit the target. Out of the total number of missiles launched by Machine Z, [D] struck the target, while 62.5% missed the target. The total number of missiles launched by Machine X and Machine Z together that missed the target is 304. The average number of missiles launched by Machine W and Machine Y together is 366, while the number of missiles launched by Machine Z is 44 less than that by Machine W.

Note: - The total number of missiles launched is the sum of the number of hits on the target and the number that missed the target.

If the number of missiles launched by Machine W which hit the target is [B + 100] less than the number of missiles launched by Machine X, then find the number of missiles launched by Machine W which missed the target.

A 120 Correct Answer Incorrect Answer
B 130 Correct Answer Incorrect Answer
C 140 Correct Answer Incorrect Answer
D 150 Correct Answer Incorrect Answer
E 100 Correct Answer Incorrect Answer

Solution

Let number of missiles launched by Machine Y which hit the target be 'x' So, number of missiles launched by Machine Y which missed the target = 1.40 × x = '1.4x' Total number of missiles launched by Machine Y = x + 1.4x = '2.4x' So, 2.4x = 432 Or, x = 180 So, number of missiles launched by Machine Y which hit the target = 180 Number of missiles launched by Machine Y which missed the target = 432 - 180 = 252 So, C = 252 Number of missiles launched by Machine X which hit the target = 252 - 36 = 216 Total number of missiles launched by Machine W and Machine X together = 366 × 2 = 732 Total number of missiles launched by Machine W = 732 - 432 = 300 And, number of missiles launched by Machine Z = 300 - 44 = 256 Number of missiles launched by Machine Z which missed the target = 0.625 × 256 = 160 Number of missiles launched by Machine Z which hit the target = 256 - 160 = 96 So, D = 96 Number of missiles launched by Machine X which missed the target = 304 - 160 = 144 Total number of missiles launched by Machine X = 144 + 216 = 360 So, A = 360 Also, B = (216/360) × 100 = 60% And, E = (432/360) = 1.2 Number of missiles launched Machine W which hit the target = 360 - (100 + 60) = 200 Number of missiles launched by Machine W which missed the target = 300 - 200 = 100

Question

What is the value of 10E + 12.

A 20 Correct Answer Incorrect Answer
B 25 Correct Answer Incorrect Answer
C 24 Correct Answer Incorrect Answer
D 28 Correct Answer Incorrect Answer
E 30 Correct Answer Incorrect Answer

Solution

Let number of missiles launched by Machine Y which hit the target be 'x' So, number of missiles launched by Machine Y which missed the target = 1.40 × x = '1.4x' Total number of missiles launched by Machine Y = x + 1.4x = '2.4x' So, 2.4x = 432 Or, x = 180 So, number of missiles launched by Machine Y which hit the target = 180 Number of missiles launched by Machine Y which missed the target = 432 - 180 = 252 So, C = 252 Number of missiles launched by Machine X which hit the target = 252 - 36 = 216 Total number of missiles launched by Machine W and Machine X together = 366 × 2 = 732 Total number of missiles launched by Machine W = 732 - 432 = 300 And, number of missiles launched by Machine Z = 300 - 44 = 256 Number of missiles launched by Machine Z which missed the target = 0.625 × 256 = 160 Number of missiles launched by Machine Z which hit the target = 256 - 160 = 96 So, D = 96 Number of missiles launched by Machine X which missed the target = 304 - 160 = 144 Total number of missiles launched by Machine X = 144 + 216 = 360 So, A = 360 Also, B = (216/360) × 100 = 60% And, E = (432/360) = 1.2 Required value = 10 × 1.2 + 12 = 24

Question

What is the difference between 'C' and 'D'?

A 126 Correct Answer Incorrect Answer
B 136 Correct Answer Incorrect Answer
C 186 Correct Answer Incorrect Answer
D 116 Correct Answer Incorrect Answer
E 156 Correct Answer Incorrect Answer

Solution

Let number of missiles launched by Machine Y which hit the target be 'x' So, number of missiles launched by Machine Y which missed the target = 1.40 × x = '1.4x' Total number of missiles launched by Machine Y = x + 1.4x = '2.4x' So, 2.4x = 432 Or, x = 180 So, number of missiles launched by Machine Y which hit the target = 180 Number of missiles launched by Machine Y which missed the target = 432 - 180 = 252 So, C = 252 Number of missiles launched by Machine X which hit the target = 252 - 36 = 216 Total number of missiles launched by Machine W and Machine X together = 366 × 2 = 732 Total number of missiles launched by Machine W = 732 - 432 = 300 And, number of missiles launched by Machine Z = 300 - 44 = 256 Number of missiles launched by Machine Z which missed the target = 0.625 × 256 = 160 Number of missiles launched by Machine Z which hit the target = 256 - 160 = 96 So, D = 96 Number of missiles launched by Machine X which missed the target = 304 - 160 = 144 Total number of missiles launched by Machine X = 144 + 216 = 360 So, A = 360 Also, B = (216/360) × 100 = 60% And, E = (432/360) = 1.2 Required difference = 252 – 96 = 156

Question

Ratio of number of missiles launched by machine X and machine Y, that missed the target, is:

A 5:7 Correct Answer Incorrect Answer
B 2:7 Correct Answer Incorrect Answer
C 4:7 Correct Answer Incorrect Answer
D 3:7 Correct Answer Incorrect Answer
E 4:9 Correct Answer Incorrect Answer

Solution

Let number of missiles launched by Machine Y which hit the target be 'x' So, number of missiles launched by Machine Y which missed the target = 1.40 × x = '1.4x' Total number of missiles launched by Machine Y = x + 1.4x = '2.4x' So, 2.4x = 432 Or, x = 180 So, number of missiles launched by Machine Y which hit the target = 180 Number of missiles launched by Machine Y which missed the target = 432 - 180 = 252 So, C = 252 Number of missiles launched by Machine X which hit the target = 252 - 36 = 216 Total number of missiles launched by Machine W and Machine X together = 366 × 2 = 732 Total number of missiles launched by Machine W = 732 - 432 = 300 And, number of missiles launched by Machine Z = 300 - 44 = 256 Number of missiles launched by Machine Z which missed the target = 0.625 × 256 = 160 Number of missiles launched by Machine Z which hit the target = 256 - 160 = 96 So, D = 96 Number of missiles launched by Machine X which missed the target = 304 - 160 = 144 Total number of missiles launched by Machine X = 144 + 216 = 360 So, A = 360 Also, B = (216/360) × 100 = 60% And, E = (432/360) = 1.2 Required ratio = 144:252 = 4:7

Question

What is the value of A?

A 300 Correct Answer Incorrect Answer
B 320 Correct Answer Incorrect Answer
C 330 Correct Answer Incorrect Answer
D 370 Correct Answer Incorrect Answer
E 360 Correct Answer Incorrect Answer

Solution

Let number of missiles launched by Machine Y which hit the target be 'x' So, number of missiles launched by Machine Y which missed the target = 1.40 × x = '1.4x' Total number of missiles launched by Machine Y = x + 1.4x = '2.4x' So, 2.4x = 432 Or, x = 180 So, number of missiles launched by Machine Y which hit the target = 180 Number of missiles launched by Machine Y which missed the target = 432 - 180 = 252 So, C = 252 Number of missiles launched by Machine X which hit the target = 252 - 36 = 216 Total number of missiles launched by Machine W and Machine X together = 366 × 2 = 732 Total number of missiles launched by Machine W = 732 - 432 = 300 And, number of missiles launched by Machine Z = 300 - 44 = 256 Number of missiles launched by Machine Z which missed the target = 0.625 × 256 = 160 Number of missiles launched by Machine Z which hit the target = 256 - 160 = 96 So, D = 96 Number of missiles launched by Machine X which missed the target = 304 - 160 = 144 Total number of missiles launched by Machine X = 144 + 216 = 360 So, A = 360 Also, B = (216/360) × 100 = 60% And, E = (432/360) = 1.2 A = 360

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