Quantitative Aptitude - MCQ Practice Questions

A: SP = 500 × 1.20 = ₹600, Profit = ₹100. B: SP = 400 × 1.25 = ₹500, Profit = ₹100. Total profit = 200 on 900 = 22.22% (approx 22.73% for combined weighted avg)

Speed = $\frac{360}{6}$ = 60 km/h = 60 × $\frac{5}{18}$ = 16.67 m/s

SP = 1000 × (1 - 0.20) = 1000 × 0.80 = ₹800

Downstream speed = $\frac{48}{3}$ = 16 km/h, Upstream speed = $\frac{32}{4}$ = 8 km/h. Boat speed = (16+8)/2 = 12 km/h

SI = (P × R × T)/100 = (5000 × 8 × 2)/100 = ₹800

Combined rate = $\frac{1}{10}$, A's rate = $\frac{1}{15}$. B's rate = $\frac{1}{10}$ - $\frac{1}{15}$ = $\frac{1}{30}$. B needs 30 days

SP = 500, Discount = 10%, MP × 0.90 = 500, MP = $\frac{500}{0}$.90 = ₹555.56

Speed = $\frac{150}{6}$ = 25 m/s = 25 × $\frac{18}{5}$ = 90 km/h

Profit ratio = 20000:30000 = 2:3. Q's share = 5000 × $\frac{3}{5}$ = ₹3000

If $\frac{1}{3}$ tank takes 4 hours, full tank takes 4 × 3 = 12 hours

SP = 2000 × (1 - 0.15) = 2000 × 0.85 = ₹1700

Relative speed = 40 + 50 = 90 km/h. Distance = 90 × 2 = 180 km

Amount = 10000(1.10)² = 10000 × 1.21 = ₹12100. CI = 12100 - 10000 = ₹2100

When multiple workers complete a task at different rates, their combined work rate equals the sum of individual rates. The combined rate is found by adding the reciprocals of individual completion times.

Step 1: Find individual work rates

Work rate is the fraction of work completed per day. If A completes work in 8 days, B in 12 days, and C in 16 days:

Step 2: Find combined work rate

When working together, rates add:

Step 3: Find common denominator and add

The LCM of 8, 12, and 16 is 48:

Step 4: Calculate time to complete work

If combined rate is $\frac{13}{48}$ per day, then time to complete 1 full work is:

**Answer: They can complete the work together in $\frac{48}{13}$ days or approximately 3.69 days (Option D)**

Monthly savings = 50000 × (1-0.60) = ₹20,000. Annual = 20,000 × 12 = ₹240,000

Let boat speed = b. Downstream = b+3, Upstream = b-3. (45/(b+3)) + (27/(b-3)) = 9. Solving: b = 9 km/h

Delay = 110 - 100 = 10 days. Loss = 10 × 500 = ₹5000. Net = 100,000 - 5000 = ₹95,000

Total work = 12 × 16 = 192 man-days. Work in 6 days = 12 × 6 = 72. Remaining = 120. With 8 men = $\frac{120}{8}$ = 15 days. (Re-check: Actually should be 12 days based on standard calculation)

Let A's CP = x. A's SP = 1.20x. B's CP = 1.20x, B's SP = 0.90 × 1.20x = 1.08x. 1.08x = 1080, x = ₹1000

New income = Original × 1.25. 62,500 = Original × 1.25. Original = 62,$\frac{500}{1}$.25 = ₹50,000