The smallest number which when divided by 20, 25, 35 and 40 leaves remainder 9 is ____. A. 1994 B. 1494 C. 1349 D. 1496 Explanation: LCM + remainder answers.
The smallest number which when increased by 1 is divisible by 12, 18, 24 and 32 is ____. A. 1439 B. 1440 C. 1459 D. 1449 Explanation: LCM − 1 = required number.
The smallest fraction which divides 6/7, 5/14 and 10/21 exactly is ____. A. 30/7 B. 30/98 C. 60/147 D. 50/294 Explanation: The LCM of the fractions is 30/7.
The slant height of a cone is 12 cm, and the radius is 4 cm. Find the curved surface area. A. 74π cm² B. 36π cm² C. 48π cm² D. 24π cm² Explanation: CSA = πrl = π×4×12.
The simple interest on Rs. 500 at 6% per annum from May 3 to July 15 is ____. A. Rs. 8 B. Rs. 6 C. Rs. 4 D. Rs. 9 Explanation: Time ≈ 73 days → SI = PRT/100.
The simple interest on Rs. 12000 for 5 years is Rs. 7200. Find the compound interest for the same period and rate. A. Rs. 3502.80 B. Rs. 3052.40 C. Rs. 3054.80 D. Rs. 3052.80 Explanation: Rate = 12%, apply the compound interest formula.
The simple interest and true discount on a certain sum for a given time at a given rate are Rs. 85 and Rs. 80, respectively. Find the sum. A. Rs. 1800 B. Rs. 1450 C. Rs. 1360 D. Rs. 6800 Explanation: Using the relation between SI and TD, the principal is Rs. 1360.
The simple interest on Rs. 49500 for 3 years is Rs. 17820. What is the compound interest on the same sum and time at the same rate? A. Rs. 20043.94 B. Rs. 18654.81 C. Rs. 20264.46 D. Rs. 19612.41 Explanation: First, find the rate from SI, then apply the CI formula to get Rs. 20043.94.
Side of square increases by 25%. Increase in area is ____. A. 52.65% B. 56.25% C. 50.75% D. 42.75% Explanation: Area ∝ side² → (1.25)².
A rhombus has a side of 26 m and a diagonal of 20 m. Find the area. A. 529 m² B. 240 m² C. 260 m² D. 480 m² Explanation: Use the diagonal relation.