SSC CGL Mixture and Alligation Practice Test 7
15 SSC CGL mixture and alligation questions with chapter-wise explanations and exam-style options.
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SSC CGL Mixture and Alligation Practice Test 7
15 SSC CGL mixture and alligation questions with chapter-wise explanations and exam-style options.
Preview all 15 questions in SSC CGL Mixture and Alligation Practice Test 7 (no login required)
- Mixture and Alligation
1. Divide ₹720 in the ratio 3:5. Larger share is:
- A. ₹270
- B. ₹360
- C. ₹400
- D. ₹450 (Correct)
Explanation: Total parts=8. Larger share = 720×5/8 = 450.
- Mixture and Alligation
2. Average of 8, 14, 22, 30, 36 is:
- A. 20
- B. 21
- C. 22 (Correct)
- D. 23
Explanation: Sum=110, 110÷5=22.
- Mixture and Alligation
3. If a:b = 2:3 and b:c = 4:5, find a:c.
- A. 6:10
- B. 8:15 (Correct)
- C. 8:12
- D. 10:15
Explanation: a:b:c = 2:3 and b:c=4:5. Scale b: a:b=8:12, b:c=12:15. So a:c=8:15.
- Mixture and Alligation
4. A invests ₹5000 for 6 months and B invests ₹4000 for 9 months. Profit ratio is:
- A. 5:6 (Correct)
- B. 10:12
- C. 10:9
- D. 5:9
Explanation: A: 5000×6=30000, B: 4000×9=36000. Ratio = 30:36 = 5:6.
- Mixture and Alligation
5. Average of 5 numbers is 18. If one number is removed, average becomes 15. Removed number is:
- A. 28
- B. 30 (Correct)
- C. 33
- D. 35
Explanation: Sum of 5 = 90. Sum of 4 = 60. Removed = 30.
- Mixture and Alligation
6. In what ratio must water be mixed with milk costing ₹12/litre to get a mixture worth ₹10/litre?
- A. 1:4
- B. 1:5 (Correct)
- C. 2:5
- D. 1:6
Explanation: By alligation: (12−10):(10−0) = 2:10 = 1:5. Water:Milk = 1:5.
- Mixture and Alligation
7. Ages of A and B are in ratio 4:5. After 10 years their ratio will be 6:7. Present age of A is:
- A. 15
- B. 20 (Correct)
- C. 25
- D. 30
Explanation: 4x+10)/(5x+10)=6/7 → 28x+70=30x+60 → 2x=10 → x=5. A=20.
- Mixture and Alligation
8. Average marks of 30 boys is 40 and 20 girls is 50. Class average is:
- A. 42
- B. 44 (Correct)
- C. 45
- D. 46
Explanation: Total = 30×40 + 20×50 = 1200+1000=2200. Average = 2200/50=44.
- Mixture and Alligation
9. If 4 workers complete a job in 12 days, 6 workers complete it in:
- A. 6 days
- B. 8 days (Correct)
- C. 9 days
- D. 10 days
Explanation: 4×12=6×d → d=8 days.
- Mixture and Alligation
10. First 11 students average 50 marks. First 6 average 49 and last 6 average 52. What did student 6 score?
- A. 53
- B. 56 (Correct)
- C. 57
- D. 59
Explanation: Sum of all 11=550. Sum of first 6=294, last 6=312. Student 6 = 294+312−550=56.
- Mixture and Alligation
11. If 3x = 4y, find x:y.
- A. 3:4
- B. 4:3 (Correct)
- C. 4:9
- D. 9:4
Explanation: x/y = 4/3.
- Mixture and Alligation
12. A and B start a business with ₹6000 and ₹8000. B leaves after 6 months. Year-end profit is ₹5400. B's share is:
- A. ₹1800
- B. ₹2000
- C. ₹2400 (Correct)
- D. ₹2700
Explanation: A: 6000×12=72000, B: 8000×6=48000. Ratio=3:2. B = 5400×2/5=2160. Actually ratio=72:48=3:2. B=5400×2/5=2160.
- Mixture and Alligation
13. 40 litres of 60% alcohol solution is mixed with 60 litres of 40% solution. Strength of mixture is:
- A. 44%
- B. 46%
- C. 48% (Correct)
- D. 50%
Explanation: Alcohol = 40×0.6+60×0.4=24+24=48 litres. Total=100. Strength=48%.
- Mixture and Alligation
14. Average of first 10 even numbers is:
- A. 9
- B. 10
- C. 11 (Correct)
- D. 12
Explanation: 2+4+…+20=110. Average=110/10=11.
- Mixture and Alligation
15. If x:y = 5:8, then (2x+3y):(4x−y) in simplest form is:
- A. 17:6 (Correct)
- B. 16:5
- C. 13:4
- D. 11:3
Explanation: x=5k, y=8k. 2x+3y=10k+24k=34k, 4x−y=20k−8k=12k. Ratio=34:12=17:6.