One tap fills the tank in 2 hours and another empties in 3 houRs. Time to fill tank is ____. A. 5 hours B. 6 hours C. 7 hours D. 8 hours Explanation: Net rate = 1/2 − 1/3 = 1/6 → time = 6 hRs.
A rectangular field has one side 4 m and a diagonal of 5 m. What is an area? A. 12 sq m B. 4√14 sq m C. 20 sq m D. 15 sq m Explanation: Other side = 3 → area = 12.
One root of Equation x² − 12x + a = 0 is three times the other. Find a. A. 29 B. 27 C. 28 D. 7 Explanation: Roots x, 3x → sum = 4x = 12 → x = 3 → a = 27.
One pipe fills a tank three times as fast as another. Together they fill in 36 minutes. The time taken by the slower pipe is ____. A. 81 min B. 108 min C. 144 min D. 192 min Explanation: Let slow rate = x → total = 4x → gives 144 min.
If price decreases by 30% and sales increase by 20%, what is the effect on revenue? A. 10% increase B. 10% decrease C. 16% increase D. 16% decrease Explanation: Net effect = 0.7 × 1.2 = 0.84 → 16% decrease.
On an order of 5 dozen boxes, a retailer gets a discount of ____. A. 15% B. 16 1/6% C. 16 2/3% D. 20% Explanation: Discount calculation gives 16⅔%.
If simple interest for 2 years is Rs. 660 and compound interest is Rs. 696.30, what is the rate? A. 10% B. 10.5% C. 12% D. None Explanation: Difference used to find the rate, mismatch in options.
Of 1000 inhabitants, 60% are males, and 20% of males are literate. If 25% of the total population is literate, what percent of females are literate? A. 22.5% B. 27.5% C. 32.5% D. 37.5% Explanation: Total literates − male literates gives female literacy = 32.5%.
Nine men went to a hotel. Eight spent Rs. 3 each, and the ninth spent Rs. 2 more than the average. What was the average expense? A. Rs. 29.25 B. Rs. 30.25 C. Rs. 32 D. Rs. 35 Explanation: Let average = x → solve 8×3 + (x+2) = 9x → x = 29.25.
If 10% spent on rent and 20% of remainder on house, savings are ____. A. Rs. 3600 B. Rs. 4000 C. Rs. 4500 D. Rs. 3000 Explanation: The remaining fraction gives Rs. 3600.