In which of the following three months, the number of Utility Vehicles produced is more than the average number of Utility Vehicles produced in five months? 

1. January, March, and July 
2. March and May
3. March, May, and July 
4. August, March, and May 
5. None of these 

Explanation

From common explanation, we have total UVs produced in these five months = 15000
Average =
15000/5 = 3000

only August, March, and May have more than 3000 UVs produced.
Hence, option D is correct.

In February, SUVs produced were 300 more than MUVs produced. Each MUV costs Rs. 18 lakh and price of each SUV is 22(2/9)% more than an MUV. On selling all the Utility Vehicles produced in the February month, the company made a revenue of 426 crores. How many SUVs were produced in the February month?

1. 900 
2. 600 
3. 1200
4. 300
5. None of these

Explanation

Each MUV costs Rs. 18 lakh and price of each SUV is 22(2/9)% more than an MUV, then price of each
SUV = 18 lakh + (200/9) % of 18 lakh = 22 lakh
Let total y MUVs were produced in the February month, then (y + 300) SUVs would have been
produced, we have
Number of MUVs x cost of MUV + number of SUVs × cost of SUV = total revenue
(18 lakh) y + (22 lakh) (y + 300) = 426 crore = 42600 lakh
18y + 22y + 6600 = 42600
40y = 36000
y = 900
Number of SUVs = y + 300 = 900 + 300 = 1200
Hence, option C is correct

Ratio of SUVs to MUVs produced in March and August were 44 : 19 and 13 : 9 respectively. What is ratio of difference between the number of SUVs and difference between the number of MUVs produced in these two months? 

1. 5 : 8
2. 1 : 2
3. 3 : 5 
4. 4 : 7 
5. None of these

Explanation

From the common explanation, we get
March = 21% of 15000 = 3150
Let SUVs produced were 44y and MUVs produced were 19y, then
44y + 19y = 63y = 3150
y = 50
SUVs produced in March were 44 × 50 = 2200, and MUVs produced were 19 × 50 = 950.
August = 22% of 15000 = 3300
Let SUVs produced were 13y and MUVs produced were 9y, then
13y + 9y = 22y = 3300
y = 150
SUVs produced in August were 13 × 150 = 1950, and MUVs produced were 9 × 150 = 1350.
Difference between the number of SUVs produced in the two months = 2200 – 1950 = 250
Difference between the number of MUVs produced in the two months = 1350 – 950 = 400
Ratio = 250 : 400 = 5 : 8
Hence, option A is correct.

Number of MUVs produced in May were 1200 and same number of SUVs were produced in January and also in July. Ratio of SUVs to MUVs produced in these months is: 

1. 11 : 8 
2. 32 : 25 
3. 8 : 11 
4. 21 : 44 
5. None of these

Explanation

ollowing the common explanation, we get
Total UVs produced in May = 24% of 15000 = 3600
MUVs produced in May = 1200
SUVs produced in May = 3600 – 1200 = 2400
Total UVs produced in January = 18% of 15000 = 2700
SUVs produce in January = MUVs produced in May = 1200
MUVs produced in January = 2700 – 1200 = 1500
Total UVs produced in July = 15% of 15000 = 2250
SUVs produce in July = MUVs produced in May = 1200
MUVs produced in July = 2250 – 1200 = 1050
Total SUVs = 2400 + 1200 + 1200 = 4800
Total MUVs = 1200 + 1500 + 1050 = 3750
Ratio of SUVs to MUVs = 4800 : 3750 = 32 : 25
Hence, option B is correct.

Average number of Utility Vehicles produced in July, May and March is what percent of Average number of Utility Vehicles produced in January and August? 

1. 100% 
2. 150% 
3. 200% 
4. 50% 
5. None of these

Explanation

From common explanation, we have
January = 18% of 15000 = 2700
March = 21% of 15000 = 3150
May = 24% of 15000 = 3600
July = 15% of 15000 = 2250
August = 22% of 15000 = 3300
Number of UVs produced in July, May and March = 2250 + 3600 + 3150 = 9000

Hence, option A is correct.

Number of Utility Vehicles produced in these five months were 60% of total production in the year 2019. How many Utility vehicles were produced in other than these five months? 

1. 15000 
2. 25000 
3. 40000 
4. 10000
5. None of these 

Explanation

Let total production in the year 2019 was ‘p’.
From common explanation we know that total production in these five months was 15000, so
60% of p = 15000
p = 25000
So, total 25000 – 15000 = 10000 UVs were produced in other months.
Hence, option D is correct

By: Parvesh Mehta