Solution :-
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Q1. Option A
Distance in plains = 60% of 150km = 60 x 1.5 = 90km
Distance in hills = 24% of 150km = 24 x 1.5 = 36km
Distance in desert = 16% of 150km = 16 x 1.5 = 24km
Total distance in plains & hills = 90+36 = 126km
Total time in plains & hills = 2.25 + y
ATQ, 42km/hr =
42 (2.25 + y) = 126
94.5 + 42y = 126
y = 31.5/42 = 0.75 hrs
Avg. speed of man in hills = 36km / (0.75hrs) = 144/3 = 48 km/hr
Q2. Option B
If y = 0.75 hrs, x = 4.5 – (2.25 + 0.75) = 1.5 hrs
Then, time spent on work in plains = 42% of 2.25 = 0.945 hrs
Time spent on work in hills = 10% of 0.75 = 0.075 hrs
Time spent on work in desert = 2% of 1.5 = 0.030 hrs
Total time spent on work = 0.945 + 0.075 + 0.030 = 1.05 hrs
Time (in minutes) = 1.05 x 60 = 63 minutes
Questions he can answer in 63 minutes = Quotient of ( 63 / 5 )
= 12 questions
His pay = (12 questions) x (₹75) = ₹ 900
Savings = 12.5% of 900 = ₹112.5
Q3. Option C
Distance in plains = 60% of 150km = 60 x 1.5 = 90km = a (say)
Distance in hills = 24% of 150km = 24 x 1.5 = 36km = b (say)
Distance in desert = 16% of 150km = 16 x 1.5 = 24km = c (say)
Given,
(Expense in landscape)
Expense in desert = (90 x 87000)/174 = 90000/2 = ₹45,000
Expense on meals = 40% of 45000 = 450 x 40 = ₹18,000
Q4. Option D
Distance in plains = 60% of 150km = 60 x 1.5 = 90km
Distance in hills = 24% of 150km = 24 x 1.5 = 36km
Distance in desert = 16% of 150km = 16 x 1.5 = 24km
So, ATQ, m% of 24 = 36
Or, m = (36 x 100)/24 = 1.5 x 100 = 150% …(1)
And, n% of 90 = 24
Or, n = (24 x 100)/90 = 24 x 0.9 = (80/3)% …(2)
Required ratio = [150 + (80/3)] : [150 – (80/3)]
= (450+80) : (450-80) = 530 : 370 = 53 : 37
Q5. Option E
Given that, x – y = 0.75
And, x + y = 4.5 -2.25 = 2.25
Adding them, 2x = 3 or, x = 1.5hrs and y = 2.25 – x = 0.75 hrs
Distance in hills = 24% of 150km = 24 x 1.5 = 36km = a (say)
Distance in desert = 16% of 150km = 16 x 1.5 = 24km = b (say)
Swapping a and b, while time remained same,
Distance in hills = b = 24km in time taken in desert = x = 1.5hrs
Distance in desert = a = 36 km in time taken on hills = y = 0.75hrs
Avg. speed of B on hills = 24km/ 1.5hrs = 16km/hr
Avg. speed of B in desert = 36km/ 0.75hrs = 48km/hr
Required ratio = 16km/hr : 48 km/hr = 1 : 3
Q6. Option B
Q7. Option A
Q8. Option B
Total units sold by companies A, B and C = (500 + 700 + 200) = 1400
Total units produced by companies A, B and C = 800 + 1000 + 400 = 2200
Q9. Option E
Q10. Option E
The total units produced by companies C, D and E = 400 + 700 + 900 = 2000 units
The total units sold by companies B, C and F = 700 + 200 + 200 = 1100 units
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