CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next letter: B, E, H, K, __.
A. O
B. M
C. P
D. N
Correct Answer: D
Each term moves forward three letters.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next letter: Z, W, S, N, H, __.
A. D
B. A
C. B
D. C
Correct Answer: B
Move backward by 3, 4, 5, 6; next move back 7: H→A.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next letter: A, C, F, J, O, __.
A. U
B. V
C. W
D. T
Correct Answer: A
Alphabet jumps are +2, +3, +4, +5; next is +6, so O→U.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 100, 96, 88, 76, 60, __.
A. 40
B. 36
C. 44
D. 42
Correct Answer: A
Subtract 4, 8, 12, 16; next subtract 20, giving 40.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 1, 1, 2, 3, 5, 8, __.
A. 12
B. 15
C. 13
D. 11
Correct Answer: C
Each term is the sum of the previous two terms.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 5, 11, 23, 47, __.
A. 95
B. 97
C. 93
D. 89
Correct Answer: A
Each term is previous term×2+1.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 81, 27, 9, 3, __.
A. 0
B. 6
C. 1
D. 2
Correct Answer: C
Each term is divided by 3.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 2, 6, 12, 20, 30, __.
A. 36
B. 40
C. 42
D. 44
Correct Answer: C
Terms follow n(n+1): 1×2, 2×3, …, 6×7=42.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 1, 4, 9, 16, __.
A. 25
B. 36
C. 20
D. 24
Correct Answer: A
These are squares: 1², 2², 3², 4²; next is 5²=25.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 3, 6, 12, 24, __.
A. 54
B. 36
C. 48
D. 42
Correct Answer: C
Each term is multiplied by 2.
CSS - PMS - CCE - PCS - Mathematics
Analytical Reasoning
Find the next number: 2, 5, 10, 17, 26, __.
A. 36
B. 38
C. 37
D. 35
Correct Answer: C
Differences are 3, 5, 7 and 9; the next difference is 11. Hence 26+11=37.
CSS - PMS - CCE - PCS - Mathematics
Algebra
A positive number plus its square is 72. What is the number?
A. 8
B. 9
C. 6
D. 12
Correct Answer: A
Let number=x. x²+x−72=0=(x−8)(x+9). Positive solution is 8.
CSS - PMS - CCE - PCS - Mathematics
Algebra
If 2x+y=11 and y=x−1, find y.
A. 2
B. 4
C. 3
D. 5
Correct Answer: C
Substitute y=x−1: 3x−1=11, x=4 and y=3.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Which quadratic equation has roots 3 and 5?
A. x² − 8x + 15 = 0
B. x² + 8x + 15 = 0
C. x² + 2x − 15 = 0
D. x² − 15x + 8 = 0
Correct Answer: A
Equation is x²−(sum)x+(product)=0. Sum=8 and product=15.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What are the roots of x² + 2x − 8 = 0?
A. 4 and 2
B. −2 and 4
C. −2 and −4
D. 2 and −4
Correct Answer: D
x²+2x−8=(x+4)(x−2), so roots are −4 and 2.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x² = 49.
A. x = −7 only
B. x = 7 only
C. x = 49
D. x = ±7
Correct Answer: D
Both 7 and −7 have square 49.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Simplify: (a²b³)/(ab).
A. a²b²
B. ab²
C. ab³
D. a/b²
Correct Answer: B
Subtract exponents: a²/a=a and b³/b=b².
CSS - PMS - CCE - PCS - Mathematics
Algebra
Simplify: (x² − y²)/(x − y), where x ≠ y.
A. x² + y²
B. x − y
C. 1
D. x + y
Correct Answer: D
x²−y²=(x−y)(x+y); cancel x−y.
CSS - PMS - CCE - PCS - Mathematics
Algebra
If x−y=6 and xy=16, find x²+y².
A. 68
B. 52
C. 84
D. 36
Correct Answer: A
x²+y²=(x−y)²+2xy=36+32=68.
CSS - PMS - CCE - PCS - Mathematics
Algebra
If a+b=10 and ab=21, find a²+b².
A. 79
B. 42
C. 58
D. 100
Correct Answer: C
a²+b²=(a+b)²−2ab=100−42=58.