Previous Year Questions 2024: Quantitative | CLAT Past Year Papers (2008-2024) PDF Download

Passage 1

Automobiles are the most preferred mode of transport because they allow us to cover large distance quickly. resultantly, vehicles have been developed that run on diesel, petrol and even on electricity, which is a remarkable innovative development. during a survey about the percentage wise distribution of cars in four different states, the information regarding ratio between the diesel engine cars, petrol engine cars and electric cars was collected. total number of cars for which data was collected was 8000. Of these, State 1 had 15% of the total cars in the ratio of 3:4:1 (diesel, petrol and electric); State 2 had 20% of the total cars in the ratio of 5:3:2 (diesel, petrol and electric); State 3 had 30% of the total cars in the ratio of 4:5:3 (diesel, petrol and electric), and; State 4 had 35% of the total cars in the ratio of 7:5:2 (diesel, petrol and electric). 
Based on the above information, answer the following questions.

Q1: If 45% of the electric cars in State 4 are air-conditioned (AC) and the remaining are non-AC, what is the number of non-AC cars?
(a) 380
(b) 240
(c) 220
(d) 180
Ans: (c)
Sol: Electric cars in State 4 = 400.
45% of electric cars in State 4 are AC cars = 0.45 × 400 = 180.
Remaining non-AC cars = 400 − 180 = 220.
The Correct Answer is option (C): 220

Q2: Number of petrol cars in State 2 is how much percentage more than the number of diesel cars in State 1?
(a) 4.67%
(b) 9.23%
(c) 3.33%
(d) 6.67%
Ans: (d)
Sol: Petrol cars in State 2 = 3/10 ×1600 = 480.
Diesel cars in State 1 = 3/8 ×1200 = 450.
Percentage more = 480−450/450 × 100 = 6.67%.
The Correct Answer is option (D): 6.67%

Q3: What is the ratio of diesel cars in State 4 to electric cars in State 3?
(a) 7:3
(b) 3:7
(c) 7:4
(d) 4:7
Ans: (a)
Sol: Total number of cars in State 4 = 35% of 8000 = 2800. 
Ratio of diesel, petrol, and electric cars in State 4 = 7:5:2. 
Diesel cars in State 4 = 7/14 × 2800 = 1400. 
Total number of cars in State 3 = 30% of 8000 = 2400. 
Ratio of diesel, petrol, and electric cars in State 3 = 4:5:3. 
Electric cars in State 3 = 3/12 × 2400 = 600. 
Thus, the ratio of diesel cars in State 4 to electric cars in State 3 = 1400:600 = 7 : 3.
The Correct Answer is option (A): 7:3

Q4: Compute the percentage of total electric cars to total cars in all the States.
(a) 19.37%
(b) 18.37%
(c) 18.73%
(d) 19.57%

Ans: (b)
Sol: Total number of electric cars in State 1 = 1/8 × 1200 = 150.
Total number of electric cars in State 2 = 2/10 × 1600 = 320. 
Total number of electric cars in State 3 = 3/12 × 2400 = 600.
Total number of electric cars in State 4 = 2/14 × 2800 = 400. 
Total electric cars = 150 + 320 + 600 +400 = 1470. Total number of cars = 8000. 
Percentage of electric cars = 1470/8000 × 100 = 18.73%.
The Correct Answer is option (B): 18.37%

Q5: What is the difference between the number of petrol cars in State 3 and diesel cars in State 1?
(a) 350
(b) 400
(c) 500
(d) 550

Ans: (d)
Sol: Petrol cars in State 3 = 5/12 ×2400 = 1000.
Diesel cars in State 1 = 3/8 ×1200 = 450.
Difference = 1000 − 450 = 550.
The Correct Answer is option (D): 550

Q6: What is the average number of diesel cars in all the States?
(a) 810
(b) 862.5
(c) 886
(d) 912.5

Ans: (b)
Sol: Diesel cars in State 1 = 3/8 ×1200 = 450.
Diesel cars in State 2 = 5/10 ×1600 = 800.
Diesel cars in State 3 = 4/12 × 2400 = 800.
Diesel cars in State 4 = 7/14 × 2800 = 1400.
Total number of diesel cars = 450 + 800 + 800 + 1400 = 3450.
Average number of diesel cars = 3450 4 = 862.5.
The Correct Answer is option (B): 862.5

Passage 2

Q7: By what percentage is the number of self-employed workers in rural areas more than the number of self-employed workers in urban areas?
(a) 29.23%
(b) 33.24%
(c) 35.01%
(d) 34.32%

Ans: (a)
Sol: Total Working Population=300,000
Rural and Urban Populations
Rural Population =48% of 300,000 =0.48 x 300,000 = 144,000 
Urban Population=52% of 300,000 = 0.52 x 300,000 = 156,000
Self-Employed Workers
In rural areas: 56% of the rural population = 0.56 x 144,000 = 80,640
In urban areas: 40% of the urban population =  0.40 x 156,000 = 62,400
Difference in the Number of Self-Employed Worker = 80,640 - 62,400 = 18,240 
Percentage Difference ={Difference}/{Self-employed in urban areas}x100
Percentage Difference ={18,240}/{62,400}x100=approx 29.23
The Correct Answer is option (A): 29.23

Q8: What is the ratio of urban and rural working population?
(a) 12:13
(b) 11:12
(c) 13:12
(d) 03:08

Ans: (c)
Sol: Urban working population = 52% of 3,00,000 = 156,000.
Rural working population = 48% of 3,00,000 = 144,000.
Ratio of urban to rural working population = 156000/144000 = 13 : 12.
The Correct Answer is option (C): 13:12

Q9: If the urban population of the region increased from 52% to 56% and the percentage of self-employed in the urban region remains the same, then the number of self-employed people in urban areas is:
(a) 66,840
(b) 68,640
(c) 62,700
(d) 67,200

Ans: (d)
Sol: Total working population = 3,00,000.
Urban population after increase = 56% of 3,00,000 = 168,000.
Self-employed in urban areas = 40% of urban population = 40% ×168000 = 67200.
Thus, the number of self-employed people in urban areas is 67200
The Correct Answer is option (D): 67200

Q10: What is the total number of regular salaried employees in the region?
(a) 90,216
(b) 91,260
(c) 92,160
(d) 96,210

Ans: (c)
Sol: Regular salaried workers in urban areas = 48% of urban population = 48% × 168, 000 = 80, 640.
Regular salaried workers in rural areas = 12% of rural population = 12%×1, 44, 000 = 17, 280.
Total regular salaried workers = 80, 640 + 17, 280 = 92, 160.
The Correct Answer is option (C): 92160

Q11: What is the percentage of regular salaried employees in rural areas corresponding to the number of casual wage workers in urban areas?
(a) 72.3%
(b) 79.8%
(c) 88.7%
(d) 92.3%

Ans: (c)
Sol: Casual wage workers in urban areas = 12% of urban population = 12% × 168, 000 = 20, 160.
Regular salaried workers in rural areas = 12% of rural population = 12% × 1, 44, 000 = 17, 280.
Percentage of regular salaried employees in rural areas compared to casual wage workers in urban areas = 17,280/20,160 × 100 = 92.3%.
The Correct Answer is option (D): 92.3%

Q12: If 60% of the total working population of the region were self-employed in rural areas and 40% of the total working population were self-employed in urban areas, what is the ratio of rural self-employed to urban self-employed?
(a) 2:3
(b) 3:2
(c) 13:18
(d) 18:13

Ans: (b)
Sol: Total self-employed in rural areas = 60% of 3,00,000 = 1,80,000.
Total self-employed in urban areas = 40% of 3,00,000 = 1,20,000.
Ratio of rural self-employed to urban self-employed = 180000/120000 = 3 : 2
The Correct Answer is option (B):3:2