#1 of 18
Federal MDCAT 2025
[Federal MDCAT 2025]
Find the next number: 5, 11, 23, 47, 95, ____?
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Numerical Series Analysis.
Formula: \(T_n = (T_{n-1} \times 2) + 1\)
Solution:- \((5 \times 2) + 1 = 11\)
- \((11 \times 2) + 1 = 23\)
- \((23 \times 2) + 1 = 47\)
- \((47 \times 2) + 1 = 95\)
- \((95 \times 2) + 1 = 191\)
Why other options are incorrect:•
Option A: Simply doubles 95 (190) without adding 1.
•
Options C and D: Result from addition errors.
#2 of 18
Federal MDCAT 2025
[Federal MDCAT 2025]
Which number comes in the missing place? 1, 3, 7, 15, 31, ____.
View Answer & Propolis Autopsy
Correct Key: Option A
Diagnostic Explanation
Concept: Recursive Number Series.
Formula: \(T_n = 2^{n} - 1\) or \(T_n = (T_{n-1} \times 2) + 1\)
Solution:- \(31 \times 2 + 1 = 63\)
- Alternatively, difference series increases as powers of 2: \(+2, +4, +8, +16, +32\). Thus, \(31 + 32 = 63\).
Why other options are incorrect:•
Options B, C, and D: Deviate from the doubling sequence logic.
[KPK MDCAT 2025]
Consider the sequence: 64, 32, 16, 8. What is the 10th term of the sequence?
View Answer & Propolis Autopsy
Correct Key: Option D
Diagnostic Explanation
Concept: Geometric Sequence Term Calculation.
Formula: \(a_n = a_1 \times r^{n-1}\)
Solution:- First term \(a_1 = 64\), Common ratio \(r = \frac{1}{2}\)
- \(a_{10} = 64 \times \left(\frac{1}{2}\right)^{9} = 64 \times \frac{1}{512} = \frac{1}{8}\)
Why other options are incorrect:•
Option A: Is the 6th term (2).
•
Option C: Is the 9th term (1/4).
[KPK MDCAT 2025]
Which number comes in a missing place? 200, 180, 162, 146, 132, ____ .
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Subtraction Series with Decrements.
Formula: \(T_n = T_{n-1} - \text{Step}\)
Solution:- \(200 - 20 = 180\)
- \(180 - 18 = 162\)
- \(162 - 16 = 146\)
- \(146 - 14 = 132\)
- \(132 - 12 = 120\)
Why other options are incorrect:•
Options A, C, and D: Result from subtracting incorrect values (e.g., subtracting 14 again gives 118).
Find the next number: 5, 11, 23, 47, 95, ____?
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Double-plus-one Series.
Formula: \(T_n = 2T_{n-1} + 1\)
Solution:- \(95 \times 2 + 1 = 191\).
Why other options are incorrect:•
Option A: Omits the \(+1\) term.
Which number comes in the missing place? 1, 3, 7, 15, 31, _.
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Exponential Increase Series.
Formula: \(T_n = 2T_{n-1} + 1\)
Solution:- \(31 \times 2 + 1 = 63\).
Why other options are incorrect:•
Option A: Subtracts 2 instead of adding 1.
#7 of 18
Punjab MDCAT 2025
[Punjab MDCAT 2025]
The virus spreads rapidly in the town. It infected the people – First day: 8, Second day: 16, Third day: 32. What will the number of people infected on the next day?
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Geometric Multiplicative Series.
Formula: \(T_n = T_{n-1} \times 2\)
Solution:- \(32 \times 2 = 64\text{ people}\).
Why other options are incorrect:•
Options A and D: Result from adding constant differences instead of applying the doubling factor.
#8 of 18
Punjab MDCAT 2025
[Punjab MDCAT 2025]
What will come next? 1, 4, 2, 5, 3, 6, 4, 7, ?
View Answer & Propolis Autopsy
Correct Key: Option A
Diagnostic Explanation
Concept: Interleaved Alternating Series.
Formula: Split into two sub-series based on odd/even positions.
Solution:- Odd terms: 1, 2, 3, 4, 5
- Even terms: 4, 5, 6, 7
- The 9th position corresponds to the odd sub-series: \(4 + 1 = 5\).
Why other options are incorrect:•
Options B, C, and D: Fail to decouple the two underlying alternating sequences.
#9 of 18
Sindh MDCAT 2025
[Sindh MDCAT 2025]
Which number comes in the missing place? 120, 119, 117, 114, 110, ___
View Answer & Propolis Autopsy
Correct Key: Option A
Diagnostic Explanation
Concept: Subtraction Series of Consecutive Integers.
Formula: \(T_n = T_{n-1} - n\)
Solution:- \(120 - 1 = 119\)
- \(119 - 2 = 117\)
- \(117 - 3 = 114\)
- \(114 - 4 = 110\)
- \(110 - 5 = 105\)
Why other options are incorrect:•
Option B: Subtracts 10 instead of 5.
[DUHS 2025]
Which number comes in the missing place? 120, 119, 117, 114, 110, _
View Answer & Propolis Autopsy
Correct Key: Option A
Diagnostic Explanation
Concept: Descending Subtract Series.
Formula: \(110 - 5 = 105\)
Solution: Differences are \(-1, -2, -3, -4, -5\).
Why other options are incorrect:
• Options B and C: Subtract larger steps.
[KMU 2025]
Which number comes in the missing place? 200, 180, 162, 146, 132, ?
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Variable Subtraction.
Formula: \(132 - 12 = 120\)
Solution: Subtractions reduce by 2 each time (20, 18, 16, 14, 12).
Why other options are incorrect:
• Option A: Subtracts 14 again.
[KMU 2025]
Consider the sequence: 64, 32, 16, 8, ... What is the 10th term of this sequence?
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Geometric Series.
Formula: \(64 / 2^{9} = 1/8\)
Solution: 10th term = 1/8.
Why other options are incorrect:
• Option D: 9th term.
[SZABMU 2025]
Find the next number: 5, 11, 23, 47, 95, ____?
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Double-Plus-One Series.
Formula: \(95 \times 2 + 1 = 191\)
Solution: Next term = 191.
Why other options are incorrect:
• Option A: Omits the +1 addition.
[SZABMU 2025]
Which number comes in the missing place? 1, 3, 7, 15, 31, _.
View Answer & Propolis Autopsy
Correct Key: Option B
Diagnostic Explanation
Concept: Powers of 2 Addition.
Formula: \(31 \times 2 + 1 = 63\)
Solution: Next term = 63.
Why other options are incorrect:
• Option A: Subtracts 2.
[UHS 2025]
What will come next? 1, 4, 2, 5, 3, 6, 4, 7, ?
View Answer & Propolis Autopsy
Correct Key: Option A
Diagnostic Explanation
Concept: Interleaved Sequences.
Formula: Odd terms follow \(+1\) progression.
Solution: 1, 2, 3, 4, 5.
Why other options are incorrect:
• Option B: Belongs to the even terms series.
[UHS 2025]
The virus spreads rapidly in the town. It infected the people - First day: 8, Second day: 16, Third day: 32. What will be the number of people infected on the next day?
View Answer & Propolis Autopsy
Correct Key: Option C
Diagnostic Explanation
Concept: Doubling Progression.
Formula: \(32 \times 2 = 64\)
Solution: 64 people infected on Day 4.
Why other options are incorrect:
• Option A: Adds linear step instead of doubling.
#17 of 18
KPK MDCAT 2024 / KMU 2024
[KPK MDCAT 2024 / KMU 2024]
Find out the missing term in the sequence: 15, 14, 12, 9, _?
View Answer & Propolis Autopsy
Correct Key: Option A
Diagnostic Explanation
Concept: Increasing Subtraction Steps.
Formula: \(T_n = T_{n-1} - n\)
Solution:- \(15 - 1 = 14\)
- \(14 - 2 = 12\)
- \(12 - 3 = 9\)
- \(9 - 4 = 5\)
Why other options are incorrect:•
Option B: Subtracts 3 again instead of 4.
#18 of 18
Sindh MDCAT 2024 / DUHS 2024
[Sindh MDCAT 2024 / DUHS 2024]
Look at the numbers below. Identify the pattern and logically deduce the correct option that should follow:
1, 4, 9, 16, _
View Answer & Propolis Autopsy
Correct Key: Option D
Diagnostic Explanation
Concept: Perfect Squares Series.
Formula: \(T_n = n^2\)
Solution: \(1^2, 2^2, 3^2, 4^2 \implies 5^2 = 25\).
Why other options are incorrect:
• Option B: Is \(6^2\).
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