SSC CGL is a two tier exam where Tier 1 is about speed and Tier 2 is about depth, and the same topic behaves differently in each. Practice here follows both, covering quantitative aptitude, general intelligence and reasoning, English comprehension, and general awareness. Questions are set at the difficulty the commission has actually used, so your accuracy here is a fair signal rather than a flattering one.
The perimeter of a rectangle is 48 cm. If its length is twice its breadth, what is the area?
Answer: C
Let breadth = b, length = 2b. Perimeter = 2(2b + b) = 6b = 48. So b = 8, length = 16. Area = 16 × 8 = 128 cm²
Q.22Medium
If a number is divisible by both 4 and 6, what is the smallest such number greater than 100?
Answer: B
LCM of 4 and 6 = 12. Multiples of 12: 108 (yes), 120 (yes). 108 is the smallest, but checking: 4108=27, 6108=18. Actually 108 works. But let's verify options: 108 = 12×9, 120 = 12×10. First number >100 divisible by LCM(4,6)=12 is 108, then 120. If 108 works, it's the answer, but 108 not in traditional SSC answers. Actually 108 IS divisible by both. Hmm, but option B is 120. Let me recheck: LCM(4,6)=12. Numbers >100: 108, 120, 132. 108 is correct but checking: maybe the question wants LCM interpretation differently. Standard answer would be 108. But if forced to choose from given options and 108 is option A, then answer is A=108.
Q.23Medium
A shopkeeper marks an item at Rs. 500. He gives a 10% discount and still makes 20% profit. What was the cost price?
Answer: A
Marked Price = 500. After 10% discount, Selling Price = 450. If profit is 20%, then CP = 1450.20 = 375
Q.24Medium
Two pipes can fill a tank in 6 hours and 8 hours respectively. How long will they take to fill the tank together?
Answer: A
Rate of pipe 1 = 61, Rate of pipe 2 = 81. Combined rate = 61 + 81 = 244 + 243 = 247. Time = 724 ≈ 3.43 hours
Q.25Medium
If the diagonal of a square is 10√2 cm, what is its area?
Answer: B
For a square with side a, diagonal = a√2. Given diagonal = 10√2, so a = 10. Area = 10² = 100 cm²
Q.26Medium
A man's salary is increased by 15%. If his new salary is Rs. 57,500, what was his original salary?
Answer: A
New salary = Original × 1.15 = 57,500. Original = 57,1500.15 = 50,000
Q.27Medium
In a class of 60 students, 40% play cricket. Of those who play cricket, 75% also play badminton. How many students play both cricket and badminton?
Answer: B
Students playing cricket = 40% of 60 = 24. Students playing both = 75% of 24 = 18
Q.28Medium
What is the compound interest on Rs. 8000 for 1.5 years at 10% per annum, compounded half-yearly?
Answer: A
Rate per half-year = 5%. Number of half-years = 3. Amount = 8000(1.05)³ = 8000 × 1.157625 = 9261. CI = 9261 - 8000 = 1261
Q.29Medium
A shopkeeper sells an item at a loss of 12%. If the cost price is Rs. 500, what is the selling price?
The average age of 8 people is 35 years. If one person of age 45 leaves the group, what is the new average age?
Answer: B
Total age of 8 people = 8 × 35 = 280 years. After removal: total = 280 - 45 = 235. New average = 7235 = 33.57 years
Q.34Medium
If x³ = 729, what is the value of x?
Answer: C
x = ∛729 = 9 (since 9 × 9 × 9 = 729)
Q.35Medium
Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. If both pipes are opened together with pipe C which empties the tank in 60 hours, how long will it take to fill the tank?
Answer: B
Rate of A = 201, Rate of B = 301, Rate of C = -601. Combined rate = 201 + 301 - 601 = 603 + 602 - 601 = 604 = 151. Time = 15 hours.
Q.36Medium
If the length of a rectangle is increased by 20% and breadth is decreased by 10%, what is the percentage change in area?
Answer: A
Original area = L × B. New area = 1.2L × 0.9B = 1.08LB. Change = 1.08LB - LB = 0.08LB = 8% increase.
Q.37Medium
A train travels 360 km in 6 hours. What is its average speed in m/s?
Answer: B
Speed = 6360 = 60 km/h. Convert to m/s: 60 × (185) = 18300 = 16.67 m/s.
Q.38Medium
The difference between compound interest and simple interest on Rs. 5000 for 2 years at 10% per annum is:
