SSC CGL Tier 2 Paper I – Quantitative Abilities: 100 Questions
SSC CGL Tier 2 Paper I – Quantitative Abilities: 100 Questions
Tier 2 Exam Structure (for reference)
Paper
Subjects
Questions
Marks
Duration
Paper I
Quantitative Abilities
100
200
2 hrs
Paper II
English Language & Comprehension
200
200
2 hrs
Paper III
Statistics (only for selected posts)
100
200
2 hrs
Paper IV
General Studies (Finance & Economics)
100
200
2 hrs
SSC CGL Tier 2 – Paper I: Quantitative Abilities
Arithmetic Questions (Q1–25)
Algebra & Equations (Q26–50)
Geometry & Mensuration (Q51–75)
Time, Work, Pipes & Mixtures (Q76–100)
The sum of three consecutive odd numbers is 75. The largest number is: A) 23 B) 25 C) 27 D) 29
A train 120 m long crosses a platform 180 m long in 30 seconds. Its speed = ? A) 18 km/h B) 36 km/h C) 72 km/h D) 108 km/h
If the simple interest on ₹5000 for 2 years at 8% per annum = ? A) ₹700 B) ₹800 C) ₹850 D) ₹900
Solve: 3/4 of a number = 18. Number = ? A) 24 B) 20 C) 30 D) 36
The LCM of 12, 15 and 20 = ? A) 60 B) 120 C) 180 D) 240
A boat covers 20 km downstream in 2 hours and 14 km upstream in 2 hours. Find the speed of the boat in still water. A) 8 km/h B) 7 km/h C) 9 km/h D) 10 km/h
A number is increased by 25% and then decreased by 20%. Net change = ? A) 5% increase B) No change C) 5% decrease D) 10% decrease
A man borrows ₹12,000 at 10% per annum simple interest for 3 years. Interest = ? A) ₹3,600 B) ₹4,000 C) ₹3,000 D) ₹3,200
Solve: (5/8) ÷ (2/3) = ? A) 15/16 B) 16/15 C) 5/6 D) 6/5
A car travels 240 km at 60 km/h. Time taken = ? A) 2 hr B) 3 hr C) 4 hr D) 5 hr
A can complete a work in 15 days, B in 20 days. They work together. Time to complete = ? A) 8 days B) 9 days C) 10 days D) 11 days
A shopkeeper sells an article for ₹900 at 10% profit. Cost price = ? A) ₹810 B) ₹820 C) ₹850 D) ₹900
If the compound interest on ₹5000 at 10% per annum for 2 years = ? A) ₹1025 B) ₹1050 C) ₹1000 D) ₹1100
The sum of the ages of A and B = 50. After 5 years, sum = ? A) 55 B) 60 C) 50 D) 65
A bag contains 5 red, 4 green, 3 blue balls. One ball is picked at random. Probability of picking red = ? A) 5/12 B) 1/3 C) 4/12 D) 3/12
Solve: 7² + 24² = ? A) 625 B) 625.5 C) 600 D) 650
A sum of ₹10,000 is lent for 2 years at 5% simple interest per annum. Interest = ? A) ₹1,000 B) ₹1,050 C) ₹1,200 D) ₹1,100
A shopkeeper marks price at ₹600. Sells at 20% discount. Selling price = ? A) ₹480 B) ₹500 C) ₹450 D) ₹520
Solve: 2³ × 4² ÷ 8 = ? A) 4 B) 8 C) 2 D) 16
A sum of money doubles in 5 years at simple interest. Rate of interest = ? A) 10% B) 15% C) 20% D) 25%
The HCF of 72 and 108 = ? A) 12 B) 18 C) 36 D) 24
The difference between compound and simple interest on ₹5000 at 10% for 2 years = ? A) ₹50 B) ₹45 C) ₹40 D) ₹55
Solve: 2/5 + 3/10 = ? A) 1/2 B) 7/10 C) 4/5 D) 3/5
The sum of first 20 natural numbers = ? A) 200 B) 210 C) 220 D) 190
A fraction is such that 3/5 of it = 12. The fraction = ? A) 15/1 B) 20/1 C) 25/1 D) 30/1
Quantitative Abilities (26–50)
A sum of ₹15,000 is invested at 8% simple interest for 3 years. Interest = ? A) ₹3,600 B) ₹3,800 C) ₹3,200 D) ₹3,500
Solve: 5² + 12² = ? A) 169 B) 144 C) 121 D) 196
The average of 12, 15, 18, 21, 24 = ? A) 18 B) 19 C) 20 D) 21
A man buys an article for ₹500 and sells for ₹600. Profit% = ? A) 15% B) 20% C) 25% D) 30%
The compound interest on ₹10,000 for 2 years at 5% per annum = ? A) ₹1,025 B) ₹1,050 C) ₹1,000 D) ₹1,100
A tank can be filled by pipe A in 12 hours and pipe B in 16 hours. Both pipes open together, tank will fill in ? A) 6 hrs B) 7 hrs C) 8 hrs D) 9 hrs
Solve: 3/4 ÷ 9/16 = ? A) 4/3 B) 1/2 C) 3/2 D) 16/36
A car travels 360 km at 60 km/h. Time taken = ? A) 5 hrs B) 6 hrs C) 7 hrs D) 8 hrs
A shopkeeper marks an item at ₹800 and allows 25% discount. Selling price = ? A) ₹600 B) ₹650 C) ₹625 D) ₹550
A sum doubles in 8 years at simple interest. Rate = ? A) 10% B) 12% C) 15% D) 20%
A man invests ₹12,000 at compound interest of 5% per annum. Amount after 2 years = ? A) ₹13,000 B) ₹13,200 C) ₹13,230 D) ₹13,500
Find the LCM of 18, 24, 30 = ? A) 180 B) 360 C) 720 D) 540
Solve: 8 × 12 ÷ 4 + 6 = ? A) 30 B) 24 C) 30 D) 32
A train 150 m long crosses a 200 m long platform in 25 sec. Speed = ? A) 36 km/h B) 54 km/h C) 50 km/h D) 60 km/h
HCF of 84 and 126 = ? A) 21 B) 42 C) 28 D) 36
A number is increased by 20% and then decreased by 25%. Net change = ? A) 5% increase B) 5% decrease C) 10% decrease D) 10% increase
Solve: 2/3 × 9/8 = ? A) 3/4 B) 1/2 C) 4/3 D) 2/5
If 3x + 7 = 25, x = ? A) 5 B) 6 C) 7 D) 8
A fraction is such that 2/5 of it = 10. Fraction = ? A) 20/1 B) 25/1 C) 15/1 D) 30/1
A bag contains 6 red, 4 green, 5 blue balls. Probability of picking blue = ? A) 5/15 B) 1/3 C) 5/14 D) 1/5
Solve: 5³ − 4² = ? A) 85 B) 81 C) 72 D) 75
The sum of first 30 natural numbers = ? A) 455 B) 465 C) 465 D) 465
A sum of ₹8,000 lent at 10% SI per annum for 3 years. Interest = ? A) ₹2,400 B) ₹2,200 C) ₹2,000 D) ₹2,500
A tank is filled by two pipes in 10 and 15 hrs respectively. Working together, fill time = ? A) 6 hrs B) 6.5 hrs C) 7 hrs D) 7.5 hrs
Solve: (7/8) + (5/12) = ? A) 31/24 B) 29/24 C) 25/24 D) 35/24
Quantitative Abilities (51–100)
The average of five numbers is 20. If one number is excluded, the average becomes 18. Find the excluded number. A) 30 B) 28 C) 32 D) 34
Solve: 15 × (12 ÷ 4) + 9 = ? A) 51 B) 48 C) 54 D) 45
The ratio of two numbers is 7:9. Their sum = 128. Find the smaller number. A) 49 B) 56 C) 63 D) 70
A man borrows ₹6,000 at 12% SI per annum. Interest for 4 years = ? A) ₹2,400 B) ₹2,800 C) ₹3,000 D) ₹2,500
Solve: 5/6 − 2/3 = ? A) 1/2 B) 1/6 C) 1/3 D) 2/5
A train 200 m long crosses a platform 300 m in 25 sec. Speed = ? A) 36 km/h B) 72 km/h C) 54 km/h D) 60 km/h
Solve: 2³ × 3² − 4² = ? A) 14 B) 20 C) 10 D) 18
The difference between two numbers is 24. One number is 3 times the other. Numbers are: A) 18, 54 B) 20, 60 C) 24, 72 D) 16, 48
The LCM of 8, 12, 20 = ? A) 120 B) 240 C) 60 D) 180
A sum of money doubles in 6 years at SI. Rate = ? A) 10% B) 12% C) 15% D) 20%
Solve: (7/10) ÷ (1/5) = ? A) 3.5 B) 2.5 C) 4 D) 3
A sum of ₹5,000 lent at 8% SI per annum for 3 years. Interest = ? A) ₹1,200 B) ₹1,300 C) ₹1,500 D) ₹1,400
Solve: 2³ + 3² × 2 = ? A) 22 B) 20 C) 18 D) 16
A car travels 180 km at 60 km/h and returns 180 km at 30 km/h. Average speed = ? A) 36 km/h B) 40 km/h C) 45 km/h D) 50 km/h
Solve: 15% of 600 = ? A) 90 B) 80 C) 85 D) 100
A sum of ₹8,000 at CI 10% per annum. Amount after 2 years = ? A) ₹9,600 B) ₹9,680 C) ₹9,800 D) ₹9,700
Solve: 4/5 + 2/3 = ? A) 22/15 B) 20/15 C) 18/15 D) 19/15
A bag contains 5 red, 6 green, 9 blue balls. Probability of picking a green ball = ? A) 6/20 B) 3/10 C) 1/3 D) 1/2
Solve: 7² − 3² = ? A) 40 B) 45 C) 49 D) 42
Solve: 2/7 × 21 = ? A) 5 B) 6 C) 7 D) 8
A man can do a work in 12 days. Another can do it in 15 days. They work together for 6 days. Fraction of work left = ? A) 1/4 B) 1/5 C) 1/6 D) 1/3
A sum of money triples in 10 years at SI. Rate = ? A) 15% B) 20% C) 10% D) 12%
Solve: 3² + 4² − 5² = ? A) 0 B) 1 C) 2 D) 3
Solve: (5/6) ÷ (1/2) = ? A) 5/3 B) 4/3 C) 3/2 D) 2/3
The sum of the first 50 natural numbers = ? A) 1,275 B) 1,250 C) 1,275 D) 1,300
Solve: 7³ ÷ 7² = ? A) 7 B) 14 C) 49 D) 21
A train crosses a pole in 20 sec at 54 km/h. Length of train = ? A) 300 m B) 360 m C) 270 m D) 250 m
Solve: 12 × 15 ÷ 5 + 8 = ? A) 44 B) 40 C) 36 D) 32
A number increased by 25% becomes 250. Original number = ? A) 200 B) 220 C) 210 D) 225
A sum of ₹12,000 at 10% SI for 4 years. Interest = ? A) ₹4,800 B) ₹5,000 C) ₹5,200 D) ₹4,500
Solve: 5² − 3² × 2 = ? A) 1 B) 7 C) 2 D) 4
A number is 40% more than another. If the smaller number = 150, the larger number = ? A) 190 B) 210 C) 200 D) 220
Solve: 3/8 + 5/12 = ? A) 19/24 B) 17/24 C) 21/24 D) 23/24
A tank is filled in 8 hrs by a pipe. In how many hours is 3/4 of the tank filled? A) 6 hrs B) 5 hrs C) 4 hrs D) 7 hrs
Solve: 2³ × 5² ÷ 10 = ? A) 10 B) 20 C) 15 D) 8
Solve: 5/9 ÷ 5/6 = ? A) 2/3 B) 3/5 C) 5/6 D) 6/5
The average of 5 numbers is 30. Total sum = ? A) 120 B) 150 C) 125 D) 140
Solve: 4 × 12 ÷ 3 + 8 = ? A) 24 B) 28 C) 20 D) 18
A sum of ₹6,000 doubles in 5 years at SI. Rate = ? A) 20% B) 25% C) 30% D) 18%
Solve: 7/8 − 3/10 = ? A) 41/40 B) 29/40 C) 37/40 D) 39/40
A train 120 m long crosses a platform 180 m in 20 sec. Speed = ? A) 54 km/h B) 72 km/h C) 60 km/h D) 66 km/h
Solve: 3² × 2² = ? A) 36 B) 32 C) 24 D) 18
Solve: 15% of 360 = ? A) 54 B) 48 C) 52 D) 50
Solve: 2/5 of 200 = ? A) 80 B) 75 C) 90 D) 85
A bag contains 6 white, 5 black, 4 red balls. Probability of black = ? A) 5/15 B) 1/3 C) 1/4 D) 2/5
Solve: (5² − 3²) ÷ 4 = ? A) 1 B) 2 C) 3 D) 4
A sum of money triples in 15 years at SI. Rate = ? A) 10% B) 12% C) 15% D) 18%
Solve: 12 × 15 ÷ (3 × 5) = ? A) 12 B) 15 C) 10 D) 20
Solve: 7/12 + 5/8 = ? A) 29/24 B) 31/24 C) 30/24 D) 27/24
A sum of money lent at SI for 4 years amounts to ₹14,000 at 10% per annum. Principal = ? A) ₹10,000 B) ₹11,000 C) ₹12,000 D) ₹12,500