Jamia Millia Islamia MCA Logical Ability And Logical Reasoning Previous Year Questions (PYQs) – Page 1 of 16
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When the price of a computer was reduced by 20%, the sale increased by 60%.
What was the increase in total revenue?
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Solution
Let original price = 100 and quantity sold = 100.
Original revenue = 100 × 100 = 10,000.
New price = 80, new sales = 160.
New revenue = 80 × 160 = 12,800.
Increase in revenue = (12,800 − 10,000)/10,000 × 100 = 28%.
A watch ticks 90 times in 95 seconds and another watch ticks 315 times in 323 seconds.
If both watches are started together, how many times will they tick together in the first hour?
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Solution
Time for one tick of first watch = 95/90 sec = 19/18 sec
Time for one tick of second watch = 323/315 sec = 323/315 sec
Their tick intervals = 19/18 and 323/315.
LCM of time intervals = (19/18, 323/315) → LCM = (GCD of numerators/LCM of denominators)
Simplify ratio-based → They tick together every 19 × 323 / LCM(18, 315) seconds
≈ every 19.2 seconds (approx).
So, in one hour (3600 seconds): 3600 / 35.6 ≈ 101 times.
Rama gets an elevator at the 11th floor of a multi-storey building and rides up at the rate of 57 floors per minute.
At the same time, Somaya gets another elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute.
If they travel at these rates, at which floor will they cross each other?
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Solution
Let the time after which they meet be t minutes.
Rama’s position after t minutes = 11 + 57t
Somaya’s position after t minutes = 51 − 63t
At the meeting point: 11 + 57t = 51 − 63t
⇒ 120t = 40 ⇒ t = 1/3 minutes.
Hence, floor number = 11 + 57 × (1/3) = 11 + 19 = 30.
If 7 parallel lines are intersected by another set of 7 parallel lines, the number of parallelograms formed is:
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Solution
Number of parallelograms formed = ${}^{7}C_{2} \times {}^{7}C_{2}$
= (21 × 21) = 441.
The results of a class were declared.
The boy ‘X’ stood 5th in the class.
The girl ‘Y’ was 8th from the last.
The position of the boy ‘Z’ was 6th after ‘X’ and in the middle of ‘X’ and ‘Y’.
The total number of students in the class was:
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Solution
X is 5th from the top → X’s position = 5.
Z is 6th after X → Z’s position = 5 + 6 = 11.
Z is also in the middle of X and Y, so Y’s position from top = 11 + 6 = 17.
Since Y is 8th from last,
Total students = 17 + 8 − 1 = 24.
A is 300 days older than B and C is 50 weeks older than A.
If C was born on Tuesday, on which day was B born?
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Solution
50 weeks = 350 days.
C − A = 350 days, A − B = 300 days
⇒ C − B = 650 days.
650 ÷ 7 = 92 weeks + remainder 6 days.
So, B’s birthday = 6 days before Tuesday = Wednesday.
Branches of 5 nationalized banks A, B, C, D and E in Uttar Pradesh are as follows:
A, B, C, D and E are in Lucknow and Kanpur.
A, B and E are in Kanpur and Allahabad.
B, C and D are in Lucknow and Varanasi.
B, E and D are in Allahabad and Saharanpur.
C, E and D are in Saharanpur and Moradabad.
Which bank has branches in all the cities except Moradabad?
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Solution
List all cities for each bank:
A → Lucknow, Kanpur, Allahabad
B → Lucknow, Kanpur, Allahabad, Varanasi, Saharanpur
C → Lucknow, Kanpur, Varanasi, Saharanpur, Moradabad
D → Lucknow, Kanpur, Varanasi, Allahabad, Saharanpur, Moradabad
E → Lucknow, Kanpur, Allahabad, Saharanpur, Moradabad
Bank B covers all except Moradabad.
Select the ODD ONE OUT from the following pairs:
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Solution
Months with same number of days:
- May (31) and January (31) ✅ same
- September (30) and November (30) ✅ same
- October (31) and April (30) ❌ different
- January (31) and December (31) ✅ same
Hence, “October : April” is the odd one out.
If A + B means ‘A is the daughter of B’,
A × B means ‘A is the son of B’, and
A − B means ‘A is the wife of B’,
then P × Q − S means:
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Solution
P × Q → P is the son of Q
Q − S → Q is the wife of S
Hence, P is the son of Q and Q is the wife of S ⇒ P is the son of S.
So, S is the father of P.
In the following series 50 is wrongly placed.
Which number will come at the place of 50?
5, 16, 50, 158, 481, …
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Solution
Pattern: Multiply by 3 and add 1 → Next term = (Previous × 3) + 1
5 × 3 + 1 = 16
16 × 3 + 1 = 49 ✅ (so 50 is wrong)
49 × 3 + 1 = 148
148 × 3 + 1 = 445 (≈ 481 if pattern distorted).
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