SSC CGL Mixture and Alligation Practice Test 1
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 1
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 1 (no login required)
- Mixture and Alligation
1. The ratio of 36 to 48 in simplest form is:
- A. 2:3
- B. 3:4 (Correct)
- C. 4:5
- D. 5:6
Explanation: 36:48 simplifies by dividing both terms by 12.
- Mixture and Alligation
2. If 2:5 = x:20, then x =
- A. 6
- B. 8 (Correct)
- C. 10
- D. 12
Explanation: 2/5 = x/20, so x = 8.
- Mixture and Alligation
3. Average of 10, 20, 30, 40 is:
- A. 20
- B. 22.5
- C. 25 (Correct)
- D. 27.5
Explanation: Sum = 100, average = 100/4 = 25.
- Mixture and Alligation
4. If the average of 5 numbers is 18, their sum is:
- A. 80
- B. 85
- C. 90 (Correct)
- D. 95
Explanation: Sum = average × number of terms = 18 × 5 = 90.
- Mixture and Alligation
5. Average weight of 4 boys is 50 kg and of 6 boys is 60 kg. Average weight of all boys is:
- A. 54 kg
- B. 55 kg
- C. 56 kg (Correct)
- D. 58 kg
Explanation: Total weight = 4×50 + 6×60 = 560, average = 560/10 = 56.
- Mixture and Alligation
6. A and B invest 5000 and 7000 for the same time. Their profit ratio is:
- A. 5:7 (Correct)
- B. 7:5
- C. 12:7
- D. 10:7
Explanation: Equal time means profit ratio equals investment ratio.
- Mixture and Alligation
7. Water is mixed with milk in the ratio 1:4. What percentage of the mixture is water?
- A. 20% (Correct)
- B. 25%
- C. 30%
- D. 40%
Explanation: Water fraction = 1/(1+4) = 1/5 = 20%.
- Mixture and Alligation
8. If boys:girls = 3:2 and total students are 50, number of girls is:
- A. 18
- B. 20 (Correct)
- C. 22
- D. 25
Explanation: Total parts = 5, so each part = 10, girls = 2 parts = 20.
- Mixture and Alligation
9. The average age of 3 persons is 24 years. If one more person of age 36 joins, the new average is:
- A. 26
- B. 27 (Correct)
- C. 28
- D. 30
Explanation: Total age = 3×24 = 72. New total = 108, average = 108/4 = 27.
- Mixture and Alligation
10. Rice at Rs. 40/kg is mixed with rice at Rs. 50/kg to get a mixture worth Rs. 46/kg. Ratio of cheaper to dearer rice is:
- A. 2:3 (Correct)
- B. 3:2
- C. 4:1
- D. 1:4
Explanation: By alligation, cheaper:dearer = (50-46):(46-40) = 4:6 = 2:3.
- Mixture and Alligation
11. A man covers equal distances at 30 km/h and 60 km/h. Average speed is:
- A. 40 km/h (Correct)
- B. 42 km/h
- C. 45 km/h
- D. 48 km/h
Explanation: Average speed for equal distances = 2ab/(a+b) = 2×30×60/90 = 40.
- Mixture and Alligation
12. If A:B = 4:5 and B:C = 3:2, then A:B:C =
- A. 12:15:10 (Correct)
- B. 4:5:2
- C. 8:15:10
- D. 12:5:2
Explanation: Make B common: 4:5 and 3:2 become 12:15 and 15:10.
- Mixture and Alligation
13. Fourth proportional to 2, 4, 8 is:
- A. 12
- B. 14
- C. 16 (Correct)
- D. 18
Explanation: 2:4 = 8:x, so x = 16.
- Mixture and Alligation
14. Average of first 9 natural numbers is:
- A. 4
- B. 4.5
- C. 5 (Correct)
- D. 5.5
Explanation: Average of first n natural numbers = (n+1)/2 = 5.
- Mixture and Alligation
15. A invests for 12 months and B invests the same amount for 8 months. Profit ratio is:
- A. 2:3
- B. 3:2 (Correct)
- C. 1:1
- D. 4:3
Explanation: Profit ratio follows money × time, so 12:8 = 3:2.