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Browse complete papersWhat should come in the place of (?) in the given series?
15, 17, ?, 25, 32, 43
17
20
32
43
25
Correct answer
20
Why this answer is correct
Calculation
⇒ 15 + 2 = 17
⇒ 17 + 3 = 20
⇒ 20 + 5 = 25
⇒ 25 + 7 = 32
⇒ 32 + 11 = 43
∴ The missing number is 20
What should come in the place of (?) in the given series?
2, 9, 30, ?, 282, 849
90
93
96
99
87
Correct answer
93
Why this answer is correct
Solution:
2, 9, 30, ?, 282, 849
The series follows the following pattern:
⇒ 2 x 3 + 3 = 9
⇒ 9 x 3 + 3 = 30
⇒ 30 x 3 + 3 = 93
⇒ 93 x 3 + 3 = 282
⇒ 282 x 3 + 3 = 849
⇒ The missing term in the series will be 93.
Hence, 93 is the correct answer.
What should come in place of the question mark '?' in the following number series?
110, 120, 135, 155, 180, ?
200
220
210
230
None of these
Correct answer
210
Why this answer is correct
Given:
110, 120, 135, 155, 180, ?
Calculation:
Considering the above series, the logic can be explained as follows
∴ The required value of "?" is 210
The average weight of 3 children is 20 kg. The weight of Chinu is three times the weight of Bhavya and weight of Arshi is twice that of Bhavya, Find the weight of Chinu.
20 kg
30 kg
10 kg
15 kg
25 kg
Correct answer
30 kg
Why this answer is correct
Shortcut Trick
Ratio of weights: Chinu : Arshi : Bhavya = 3 : 2 : 1
Total ratio parts = 3 + 2 + 1 = 6 units
Total weight = Average × Count = 20 × 3 = 60 kg
1 unit = 60 ÷ 6 = 10 kg
Chinu (3 units) = 3 × 10 = 30 kg
∴ The correct answer is 30 kg.
Alternate Method
Given:
Average weight of 3 children = 20 kg
Let the weight of Bhavya be x kg.
Weight of Chinu = 3x kg
Weight of Arshi = 2x kg
Formula Used:
Total Sum = Average × Number of entities
Calculations:
⇒ Total Weight = 20 × 3 = 60 kg
⇒ x + 3x + 2x = 60
⇒ 6x = 60
⇒ x = 10 kg
⇒ Weight of Chinu = 3x = 3 × 10 = 30 kg
∴ The correct answer is 30 kg.
Additional Information
Average Property
Average is the sum of observations divided by the total number of observations. Formula: Average = Σxi / n.
Ratio & Proportion
If A:B = a:b and B:C = b:c, then A:B:C = a:b:c. This is used to distribute a total value among multiple parties.
Weighted Average
Used when different groups have different averages. Formula: (n1×Avg1 + n2×Avg2) / (n1 + n2).
In a group of people, 40% are male, and the rest are female. Among the females, 40% are graduates, and the remaining are postgraduates. If the total number of female postgraduates is 360, what is the number of males in the group?
200
300
400
500
600
Correct answer
400
Why this answer is correct
Shortcut Trick
Let Total People = 100 units. Females = 60 units.
Postgraduate Females = 60% of 60 units = 36 units.
36 units → 360 ⇒ 1 unit = 10.
Males = 40 units = 40 × 10 = 400.
∴ The correct answer is 400.
Alternate Method
Given:
Percentage of males = 40%
Percentage of females = 100% − 40% = 60%
Percentage of Postgraduate females = 100% − 40% = 60% of females.
Total Postgraduate females = 360.
Calculations:
⇒ Let total number of people be 'x'.
⇒ Number of females = 0.60x
⇒ Number of Postgraduate females = 60% of 0.60x = 360
⇒ 0.60 × 0.60x = 360
⇒ 0.36x = 360
⇒ x = 360 ÷ 0.36 = 1000
⇒ Number of males = 40% of 1000 = 0.40 × 1000 = 400
∴ The correct answer is 400.
Additional Information
Percentage Breakdown
When a subgroup is defined as a percentage of another subgroup, multiply the percentages: Final % = Sub-percentage × Main percentage.
Base Change Rule
Always identify the correct base for percentage calculations (e.g., 40% of females means the base is the total number of females, not the total group).
Directions: Study the following information carefully and answer the questions that follow
Eight people L, M, N, O, P, Q, R, and S are sitting in a row facing North. N is sitting at one, end and only two people are sitting between N and L. Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end. P is sitting to the immediate left of L and only two persons are sitting between P and O. R is an immediate neighbor of neither O nor Q.
Who is sitting second to left of S?
P
L
Q
M
None of these
Correct answer
P
Why this answer is correct
Hence, case 2 gets canceled.
So, the final arrangement will be
Hence, P is sitting second to the left of S.
Directions: Study the following information carefully and answer the questions that follow
Eight people L, M, N, O, P, Q, R, and S are sitting in a row facing North. N is sitting at one, end and only two people are sitting between N and L. Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end. P is sitting to the immediate left of L and only two persons are sitting between P and O. R is an immediate neighbor of neither O nor Q.
How many people are sitting between R and O?
Two
Five
Four
Six
None of these
Correct answer
None of these
Why this answer is correct
N is sitting at one end, and only two people are sitting between N and L.
Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end
P is sitting to the immediate left of L and only two persons are sitting between P and O
R is an immediate neighbor of neither O nor Q
Hence, case 2 gets canceled.
So, the final arrangement will be
Hence, Three people are sitting between R and O.
Directions: Study the following information carefully and answer the questions that follow
Eight people L, M, N, O, P, Q, R, and S are sitting in a row facing North. N is sitting at one, end and only two people are sitting between N and L. Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end. P is sitting to the immediate left of L and only two persons are sitting between P and O. R is an immediate neighbor of neither O nor Q.
Which of the following statement is true?
Q is sitting third to the right of S
All of the statements are true
P is an immediate neighbor of O
M is sitting fourth to the right of L
None of the given statements are true
Correct answer
M is sitting fourth to the right of L
Why this answer is correct
N is sitting at one end, and only two people are sitting between N and L.
Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end
P is sitting to the immediate left of L and only two persons are sitting between P and O
R is an immediate neighbor of neither O nor Q
Hence, case 2 gets canceled.
So, the final arrangement will be
Hence, M is sitting fourth to the right of L.
Directions: Study the following information carefully and answer the questions that follow
Eight people L, M, N, O, P, Q, R, and S are sitting in a row facing North. N is sitting at one, end and only two people are sitting between N and L. Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end. P is sitting to the immediate left of L and only two persons are sitting between P and O. R is an immediate neighbor of neither O nor Q.
Who is sitting third to the right of P?
L
N
O
S
None of these
Correct answer
O
Why this answer is correct
N is sitting at one end, and only two people are sitting between N and L.
Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end
P is sitting to the immediate left of L and only two persons are sitting between P and O
R is an immediate neighbor of neither O nor Q
Hence, case 2 gets canceled.
So, the final arrangement will be
Hence, O is sitting third to the right of P.
Directions: Study the following information carefully and answer the questions that follow
Eight people L, M, N, O, P, Q, R, and S are sitting in a row facing North. N is sitting at one, end and only two people are sitting between N and L. Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end. P is sitting to the immediate left of L and only two persons are sitting between P and O. R is an immediate neighbor of neither O nor Q.
Who is sitting second to the right of one, who is sitting immediate to the left of O?
L
Q
S
R
None of these
Correct answer
Q
Why this answer is correct
N is sitting at one end, and only two people are sitting between N and L.
Q is an immediate neighbor of one who is sitting at extreme end. No one is sitting between Q and M, who is sitting at extreme end
P is sitting to the immediate left of L and only two persons are sitting between P and O
R is an immediate neighbor of neither O nor Q
Hence, case 2 gets canceled.
So, the final arrangement will be
Immediate to the left of O → S
Second to the right of S → Q
Hence, Q is sitting second to the right of one, who is sitting immediate to the left of O.