CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Seven consecutive integers have an average of 31. What is the largest integer?
A. 34
B. 35
C. 31
D. 33
Correct Answer: A
The middle integer is 31. Three greater integers are 32,33,34, so largest=34.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of five people is 24. If a 20-year-old leaves, what is the average age of the remaining four?
A. 24
B. 26
C. 25
D. 23
Correct Answer: C
Original total=120. Remaining total=100. Average=100/4=25.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average age of 15 men is 40 and of 10 women is 35. What is the combined average?
A. 38
B. 37
C. 39
D. 36
Correct Answer: A
Combined total=600+350=950; total persons=25; average=38.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average marks of 20 students is 60 and of 30 students is 70. What is the combined average?
A. 68
B. 66
C. 65
D. 64
Correct Answer: B
Combined average=(20×60+30×70)/50=3300/50=66.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of eight numbers is 25. If 32 is replaced by 40, what is the new average?
A. 25
B. 27
C. 26
D. 28
Correct Answer: C
Total increases by 8. Average increases by 8/8=1, becoming 26.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of six numbers is 18. If one number is removed, the average of the remaining five is 16. What number was removed?
A. 18
B. 24
C. 28
D. 30
Correct Answer: C
Original total=108; remaining total=80. Removed number=28.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of 8, 12, x and 20 is 14. Find x.
A. 14
B. 16
C. 20
D. 18
Correct Answer: B
Required total=4×14=56. Known total=40, so x=16.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Find the average of 2, 4, 6, 8 and 10.
A. 5
B. 7
C. 6
D. 8
Correct Answer: C
Sum=30 and count=5, so average=6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
What is the average of the first five natural numbers?
A. 5
B. 2.5
C. 3
D. 4
Correct Answer: C
(1+2+3+4+5)/5=15/5=3.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
The average of five numbers is 12. What is their total?
A. 55
B. 72
C. 50
D. 60
Correct Answer: D
Total=average×number of values=12×5=60.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Find the arithmetic mean of 10, 20 and 30.
A. 20
B. 15
C. 30
D. 25
Correct Answer: A
Mean=(10+20+30)/3=20.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Task A is on Monday. Task B is two days after A, and Task C is one day before B. On which day is Task C?
A. Thursday
B. Wednesday
C. Monday
D. Tuesday
Correct Answer: D
B is Wednesday; one day before Wednesday is Tuesday.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Six students sit in the order P, Q, R, S, T, U. Who sits fourth from the left?
A. S
B. R
C. Q
D. T
Correct Answer: A
Counting from the left, the fourth position is occupied by S.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Four cities are visited in the order P, Q, R, S. Which city is visited third?
A. R
B. P
C. Q
D. S
Correct Answer: A
The third city in the stated order is R.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Five persons sit in a row in the order D, E, A, B, C. Who sits in the middle?
A. A
B. E
C. B
D. D
Correct Answer: A
In a row of five, the third person is in the middle. The third person is A.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Statements: Some books are novels. All novels are fiction. Conclusion: Some books are fiction. Does it follow?
A. Cannot be determined
B. Yes
C. Only if all books are novels
D. No
Correct Answer: B
The books that are novels must be fiction, so some books are fiction.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Statements: No cats are dogs. Some pets are cats. Conclusion: Some pets are not dogs. Does it follow?
A. Only if all pets are cats
B. Yes
C. No
D. Cannot be determined
Correct Answer: B
The pets that are cats cannot be dogs; hence some pets are not dogs.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Statements: All roses are flowers. All flowers are plants. Conclusion: All roses are plants. Does it follow?
A. Only some roses
B. Yes
C. No
D. Cannot be determined
Correct Answer: B
Roses are a subset of flowers, and flowers are a subset of plants; therefore all roses are plants.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Statements: All pens are stationery. Some stationery items are costly. Conclusion: Some pens are costly. Does the conclusion follow?
A. No
B. Only sometimes
C. Yes
D. Both yes and no
Correct Answer: A
The costly stationery items are not necessarily pens, so the conclusion does not logically follow.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
A woman says, 'The boy's mother is the only daughter of my mother.' How is the boy related to the woman?
A. Nephew
B. Brother
C. Father
D. Son
Correct Answer: D
The only daughter of the woman's mother is the woman herself; therefore the boy is her son.