Logic Puzzles and Math Problems

Speed = 60 km/hr = 60 * (5/18) m/sec = 50/3 m/sec. Length of the train = Speed * Time = (50/3) * 9 = 150 metres. The other options result from failing to convert km/hr to m/sec or using incorrect time factors.

First find the train's speed: 240m/24s = 10 m/s. To pass a platform, the train must cover its own length plus the platform length: 240 + 650 = 890m. Time = 890/10 = 89 seconds. This is a standard train problem requiring you to account for both the train's length and the platform length.

Speed = 54 km/hr = 15 m/s. Time to pass a man = 20s, so train length = 15 × 20 = 300m. Time to pass platform = 36s. Total distance covered = train length + platform length = 300 + L. So 15 × 36 = 300 + L, giving L = 240m. Answer B matches this calculation.

Relative speed = 45 - 9 = 36 kmph = 10 m/s. Total distance to cover = distance ahead + train length = 240 + 120 = 360 metres. Time = Distance / Speed = 360 / 10 = 36 seconds. The distractors represent calculation errors in relative speed or distance.

This analogy pairs a profession with its primary place of work. A lawyer works in a court. Similarly, a businessman operates in a market. While chemists work in labs and laborers in factories, the businessman/market pair is a classic analogy for professional environments.

The analogy relates a number to its corresponding base system. Ten is the base for the decimal system. Two is the base for the binary system. The other options (septet, quartet) refer to groups of that size, not mathematical base systems.

This analogy pairs a physical quantity with its unit of measurement. Distance is measured in miles; liquid is measured in litres. A scale is a tool to measure weight, not a unit, and a bushel is a unit for corn, but the order is reversed.

The relationship is one of temporal antonyms. 'After' and 'Before' are opposites in time. Similarly, a 'successor' comes after and a 'predecessor' comes before. 'Present:past' are also opposites but do not capture the sequential relationship as precisely as successor/predecessor.

This analogy pairs a type of meat with the animal it comes from. Pork is meat from a pig. Mutton is meat from a sheep. While 'steer:beef' is related, the order is reversed (animal:meat), and 'rooster:chicken' is a gender distinction, not a meat classification.

The analogy relates a stimulus to the lack of the corresponding sense. Light is the stimulus for sight, and its absence or inability to perceive it is blindness. Speech is the stimulus for hearing/communication, and the inability to produce it is being dumb (mute).

This is an analogy based on physical properties. Gravity is a force characterized by a pull; magnetism is a force characterized by attraction. The other options describe categories (iron:metal) or associations (dust:desert) rather than the primary functional force of the subject.

The first letters follow the sequence J, K, L, M, so the next is N. The second letters follow A, B, C, D, so the next is E. The third letters follow K, L, M, N, so the next is O. Combining these gives NEO.

Analyze each position in the four-letter terms. First letters: E→G→I→K→M (skip one letter each time). Middle letters: L→L→L→L→L (constant L). Third letters: F→H→J→L→N (skip one). Last letters: A→A→A→A→A (constant A). For the blank after ILJA: first letter should be K (after I), middle L, third L (after J), last A, giving KLLA.

This series combines letter patterns across four-letter terms. First letters: A→B→C→D (consecutive forward). Second letters: B→Z→X→V (alternating backward: B to Z is back 2, then Z→X→V each back 2). Third letters: C→F→I→L (skip 2 forward each time: C→F→I→L). Fourth letters: D→Z→V→R (back 4 each time: D→Z→V→R). For term 4: first D, second V, third L, fourth R gives DVLR.

This is a riddle/joke question. The setup is a confrontation between a man and an elephant on a narrow bridge. The elephant's response would be the punchline. Since the options don't include the actual expected humorous response (which would be something like ' elephants don't talk' or a witty retort), the correct answer is 'None of these' - the real punchline isn't listed among the literal options.

The grandson's comment 'You just had your lunch' suggests the grandfather wants his false teeth for personal reasons - likely because he wants to eat something else (dessert, snacks) or simply prefers having his teeth in after meals. It's not about hygiene but personal preference and comfort.