Full-Length Mock Tests
SSC-CGL Exam
120 minutes
Suggested Time
50
Questions Each
1 mark each
SSC Pattern
Instructions:
- Time: 120 minutes for each test (you can shorten to 60–90 min for harder practice)
- Marks: 1 mark per question
- Attempt full test → then check solutions
- Do not check answers until you complete the entire test
FULL-LENGTH MOCK TEST A — 50 QUESTIONS
Unit digit of 7⁴⁵?
View Answer
Unit digits of powers of 7 cycle: 7,9,3,1 (period 4). 45 mod 4 = 1
7
Find 25% of 480
View Answer
0.25 × 480
120
CP = ₹800, SP = ₹1000. Profit %?
View Answer
Profit = (1000-800)/800 × 100
25%
Compound amount of ₹1000 at 10% p.a. for 2 years
View Answer
Amount = 1000(1.1)² = 1210
₹1,210
Divide ₹720 in ratio 5:7 (Give both shares)
View Answer
Total parts 5+7=12 → 720×5/12=300, 720×7/12=420
₹300 and ₹420
Average of 12, 15, 18, 21
View Answer
Sum = 66, Average = 66/4
16.5
Speed when distance = 150 km, time = 3 hr
View Answer
150/3
50 km/h
A does job in 8 days, B in 12 days. Time together?
View Answer
1/T = 1/8 + 1/12 = 5/24 → T = 24/5
4.8 days
Simplify (x² - 25)/(x - 5)
View Answer
x² - 25 = (x-5)(x+5)
(x+5)
Volume of cylinder (r=7) cm, (h=10) cm. Use π=22/7
View Answer
V = πr²h = 22/7 × 49 × 10
1540 cm³
Perimeter of rectangle 12 × 7
View Answer
2(12+7) = 2×19
38
If sinθ = 3/5, find cosθ
View Answer
cosθ = √(1 - sin²θ) = √(1 - 9/25) = √(16/25)
4/5
Distance between (1,2) and (4,6)
View Answer
√[(4-1)² + (6-2)²] = √[9 + 16] = √25
5
In a class boys = 80, girls = 120. % of girls?
View Answer
120/(80+120) = 120/200
60%
Data sufficiency: Find x. (1) x+5=10 (2) x-3=4
View Answer
(1) gives x=5; (2) gives x=7
Each alone sufficient
Bag has 3 red, 2 blue balls. P(pick red) = ?
View Answer
3 red out of 5 total
3/5 (0.6)
Number of permutations to arrange 3 letters from A,B,C,D
View Answer
⁴P₃ = 4×3×2
24 ways
Number of combinations to choose 2 letters from A,B,C,D
View Answer
⁴C₂ = 6
6 ways
Simplify (a² + 2ab + b²)/(a+b)
View Answer
Numerator = (a+b)²
(a+b)
Time taken to cover 300 km at 75 km/hr
View Answer
300/75
4 hours
Weighted average: 6 students score 5 marks, 4 students score 7 marks
View Answer
(6×5 + 4×7)/(6+4) = (30+28)/10
5.8
CP = ₹500, SP = ₹400. Loss %?
View Answer
(500-400)/500 × 100
20% loss
A invests ₹4000, B ₹6000. Profit ₹1000. A's share?
View Answer
4000:6000 = 2:3 → A's share = 1000×2/5
₹400
Simple interest on ₹6000 at 5% p.a. for 3 years
View Answer
6000×5×3/100
₹900
Profit rises from 5 to 15 — % increase?
View Answer
(15-5)/5 × 100
200% increase
LCM of 12, 15, 20
View Answer
LCM(12,15,20) = 60
60
HCF (GCD) of 48 and 180
View Answer
GCD(48,180) = 12
12
Unit digit of 7³⁵
View Answer
7-cycle: 7,9,3,1; 35 mod 4 = 3
3
Simplify √50 × √2
View Answer
√50 × √2 = √100
10
Two successive discounts 20% and 10% — net discount%
View Answer
20 + 10 - (20×10)/100 = 30 - 2
28%
CP 120, SP 150 — profit%
View Answer
(150-120)/120 × 100
25%
SI on ₹5000 at 8% for 2 years
View Answer
5000×8×2/100
₹800
Divide ₹480 in ratio 3:5 (both parts)
View Answer
3+5=8; 480×3/8=180; 480×5/8=300
₹180 and ₹300
Average of 10, 20, 30, 40
View Answer
(10+20+30+40)/4 = 100/4
25
Convert 90 km/hr to m/s
View Answer
90 × 5/18
25 m/s
Two trains 100 km apart moving towards each other 40 km/h and 60 km/h — time to meet?
View Answer
Time = 100/(40+60) = 100/100
1 hour
A in 6 days, B in 12 days — together?
View Answer
1/T = 1/6 + 1/12 = 3/12 = 1/4
4 days
Simplify (x² - 9)/(x-3)
View Answer
x² - 9 = (x-3)(x+3)
(x+3)
Area of circle r = 7 (use π=22/7)
View Answer
πr² = 22/7 × 49
154 cm²
Volume of cube side = 5
View Answer
5³
125
Sum of angles in triangle
View Answer
180°
If sinθ=3/5, tanθ = ?
View Answer
tanθ = sinθ/cosθ = (3/5)/(4/5)
3/4
Midpoint of (2,3) and (8,7)
View Answer
((2+8)/2, (3+7)/2)
(5,5)
Angle of elevation 45°, distance 10 m → height?
View Answer
Height = distance × tan45° = 10 × 1
10 m
Number of ways to arrange 2 objects from 5 (⁵P₂)
View Answer
⁵P₂ = 5×4
20
⁵C₂ value
View Answer
⁵C₂ = 10
10
Probability of getting an even number on a fair die
View Answer
Even numbers: {2,4,6} → 3/6
1/2
Simplify (x² - 16)/(x - 4)
View Answer
x² - 16 = (x-4)(x+4)
(x+4)
Product of two numbers 20 and 30 equals HCF×LCM
View Answer
20 × 30
600
Unit digit of 2⁵⁷
View Answer
2-cycle: 2,4,8,6; 57 mod 4 = 1
2
FULL-LENGTH MOCK TEST B — 50 QUESTIONS
Unit digit of 3¹²⁵
View Answer
3-cycle: 3,9,7,1; 125 mod 4 = 1
3
25% of 640
View Answer
0.25 × 640
160
CP = ₹900, SP = ₹1200. Profit %?
View Answer
(1200-900)/900 × 100
33.33%
Amount of ₹2000 at 5% p.a. compounded yearly for 3 years
View Answer
2000(1.05)³ ≈ 2315.25
₹2,315.25
Divide ₹840 in ratio 4:3 (both shares)
View Answer
4+3=7; 840×4/7=480; 840×3/7=360
₹480 and ₹360
Average of 11, 13, 15, 17
View Answer
(11+13+15+17)/4 = 56/4
14
Time = 4 hr, distance = 200 km → Speed?
View Answer
200/4
50 km/h
A in 9 days, B in 6 days → together?
View Answer
1/T = 1/9 + 1/6 = 5/18 → T = 18/5
3.6 days
Simplify (x² - 8x + 16)/(x - 4)
View Answer
Numerator = (x-4)²
(x-4)
Volume of cylinder r=5, h=12 (π=22/7)
View Answer
V = πr²h = 22/7 × 25 × 12
≈942.857 cm³
Perimeter rectangle 20×15
View Answer
2(20+15) = 2×35
70
If sinθ=3/5, find cosθ
View Answer
cosθ = √(1 - sin²θ) = √(1 - 9/25) = √(16/25)
4/5
Distance from origin to (3,4)
View Answer
√(3² + 4²) = √(9 + 16) = √25
5
In a group, 150 engineers and 350 others → % engineers?
View Answer
150/(150+350) = 150/500
30%
DS: Find x using (1) x+y=10, (2) x−y=2 — are statements sufficient?
View Answer
Both together give unique solution
Both together sufficient
Bag with 3 red and 2 blue → P(red) = ?
View Answer
3 red out of 5 total
3/5
⁶P₃
View Answer
6×5×4
120
⁶C₂
View Answer
⁶C₂ = 15
15
Simplify (a² - b²)/(a+b)
View Answer
a² - b² = (a-b)(a+b)
(a-b)
Time to cover 300 km at 75 km/hr
View Answer
300/75
4 hours
Weighted average: 5 students score 5 marks, 7 students score 7 marks
View Answer
(5×5 + 7×7)/(5+7) = (25+49)/12 = 74/12
≈6.1667
CP 500, SP 450 → profit% or loss%?
View Answer
(500-450)/500 × 100
10% loss
A invests ₹5000, B ₹7000. Total profit ₹1000. A's share?
View Answer
A's share = 1000×5000/(5000+7000) = 1000×5/12
₹416.67
Simple interest on ₹10000 at 8% for 1 year
View Answer
10000×8/100
₹800
Profit rises from 30 to 90 → % increase?
View Answer
(90-30)/30 × 100
200% increase
LCM of 18, 24, 30
View Answer
LCM(18,24,30) = 360
360
GCD of 84 and 126
View Answer
GCD(84,126) = 42
42
Unit digit of 9¹³
View Answer
9-cycle: 9,1; 13 mod 2 = 1
9
√72 × √2 = ?
View Answer
√72 × √2 = √144
12
Net discount of successive 20% and 10% expressed as fraction
View Answer
1 - 0.8×0.9 = 1 - 0.72
0.28
Profit % if CP 120, SP 150
View Answer
(150-120)/120 × 100
25%
SI on ₹5000 at 7% for 1 year
View Answer
5000×7/100
₹350
Divide ₹360 in ratio 2:3
View Answer
2+3=5; 360×2/5=144; 360×3/5=216
₹144 and ₹216
Average of 5, 10, 15, 20
View Answer
(5+10+15+20)/4 = 50/4
12.5
45 km/hr in m/s
View Answer
45 × 5/18
12.5 m/s
Two objects 250 km apart moving towards each other at 70 km/h and 30 km/h → meet when?
View Answer
Time = 250/(70+30) = 250/100
2.5 hours
A does job in 5 days, B in 10 days — together?
View Answer
1/T = 1/5 + 1/10 = 3/10 → T = 10/3
3.333 days
Simplify (x² - 4)/(x - 2)
View Answer
x² - 4 = (x-2)(x+2)
(x+2)
Area of circle r=14 (π=22/7)
View Answer
πr² = 22/7 × 196
616 cm²
Volume of cube side 8
View Answer
8³
512
Sum of interior angles of triangle
View Answer
180°
tan 30° value
View Answer
tan 30° = 1/√3
≈0.57735
Midpoint of (1,2) and (7,8)
View Answer
((1+7)/2, (2+8)/2)
(4,5)
Height of object if angle of elevation 60° and distance 5 m
View Answer
Height = 5 × tan60° = 5 × √3
≈8.6603 m
⁷P₂
View Answer
7×6
42
⁷C₃
View Answer
⁷C₃ = 35
35
Probability of getting a multiple of 3 on a die
View Answer
Multiples of 3: {3,6} → 2/6
1/3
Simplify (x² + 6x + 9)/(x + 3)
View Answer
Numerator = (x+3)²
(x+3)
HCF×LCM of 18 and 24 equals? (also product relation)
View Answer
GCD=6, LCM=72 → 6×72 = 432
432
Unit digit of 5²³
View Answer
Unit digit of powers of 5 is always 5
5
Complete Full-Length Mock Test Package
Two comprehensive mock tests with 50 questions each, covering all major quantitative aptitude topics for SSC CGL preparation.
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