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626 lines (626 loc) · 14.9 KB
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[
{
"id": "quant-discount-price",
"topicId": "quantitative",
"difficulty": "easy",
"prompt": "A backpack marked at Rs 800 is sold at a 15% discount. What is its selling price?",
"options": [
{
"id": "a",
"text": "Rs 600"
},
{
"id": "b",
"text": "Rs 680"
},
{
"id": "c",
"text": "Rs 720"
},
{
"id": "d",
"text": "Rs 785"
}
],
"answerId": "b",
"explanation": "15% of 800 is 120. Subtract the discount: 800 - 120 = Rs 680."
},
{
"id": "quant-ratio-share",
"topicId": "quantitative",
"difficulty": "easy",
"prompt": "Two groups have students in the ratio 3:5. There are 64 students in total. How many are in the smaller group?",
"options": [
{
"id": "a",
"text": "16"
},
{
"id": "b",
"text": "20"
},
{
"id": "c",
"text": "24"
},
{
"id": "d",
"text": "40"
}
],
"answerId": "c",
"explanation": "There are 3 + 5 = 8 equal parts. Each part is 64 / 8 = 8 students, so the smaller group has 3 x 8 = 24 students."
},
{
"id": "quant-arithmetic-mean",
"topicId": "quantitative",
"difficulty": "easy",
"prompt": "What is the arithmetic mean of 12, 16, 20, and 24?",
"options": [
{
"id": "a",
"text": "16"
},
{
"id": "b",
"text": "18"
},
{
"id": "c",
"text": "20"
},
{
"id": "d",
"text": "22"
}
],
"answerId": "b",
"explanation": "Add the four values to get 72, then divide by 4. The mean is 18."
},
{
"id": "quant-average-speed",
"topicId": "quantitative",
"difficulty": "easy",
"prompt": "A bus covers 150 km in 3 hours. What is its average speed over the trip?",
"options": [
{
"id": "a",
"text": "30 km/h"
},
{
"id": "b",
"text": "45 km/h"
},
{
"id": "c",
"text": "50 km/h"
},
{
"id": "d",
"text": "60 km/h"
}
],
"answerId": "c",
"explanation": "Average speed is total distance divided by total time: 150 / 3 = 50 km/h."
},
{
"id": "quant-simple-interest",
"topicId": "quantitative",
"difficulty": "medium",
"prompt": "What is the simple interest on Rs 5,000 at 8% per year for 2 years?",
"options": [
{
"id": "a",
"text": "Rs 400"
},
{
"id": "b",
"text": "Rs 800"
},
{
"id": "c",
"text": "Rs 832"
},
{
"id": "d",
"text": "Rs 5,800"
}
],
"answerId": "b",
"explanation": "Simple interest = principal x rate x time / 100 = 5,000 x 8 x 2 / 100 = Rs 800. Rs 5,800 is the total amount, not the interest."
},
{
"id": "quant-equal-pump-rates",
"topicId": "quantitative",
"difficulty": "medium",
"prompt": "Six identical pumps fill a tank in 4 hours. At the same constant rate per pump, how long would 3 pumps take to fill the same empty tank?",
"options": [
{
"id": "a",
"text": "2 hours"
},
{
"id": "b",
"text": "4 hours"
},
{
"id": "c",
"text": "6 hours"
},
{
"id": "d",
"text": "8 hours"
}
],
"answerId": "d",
"explanation": "The tank requires 6 x 4 = 24 pump-hours of work. With 3 identical pumps, the time is 24 / 3 = 8 hours."
},
{
"id": "reasoning-constant-gap",
"topicId": "reasoning",
"difficulty": "easy",
"prompt": "What comes next in the sequence 4, 9, 14, 19, ...?",
"options": [
{
"id": "a",
"text": "22"
},
{
"id": "b",
"text": "23"
},
{
"id": "c",
"text": "24"
},
{
"id": "d",
"text": "25"
}
],
"answerId": "c",
"explanation": "Each term increases by 5. Adding 5 to 19 gives 24."
},
{
"id": "reasoning-doubling",
"topicId": "reasoning",
"difficulty": "easy",
"prompt": "What comes next in the sequence 3, 6, 12, 24, ...?",
"options": [
{
"id": "a",
"text": "30"
},
{
"id": "b",
"text": "36"
},
{
"id": "c",
"text": "42"
},
{
"id": "d",
"text": "48"
}
],
"answerId": "d",
"explanation": "Each term is twice the previous term, so the next term is 24 x 2 = 48."
},
{
"id": "reasoning-notebook-deduction",
"topicId": "reasoning",
"difficulty": "medium",
"prompt": "All notebooks are stationery items. No stationery item is edible. Which statement must follow?",
"options": [
{
"id": "a",
"text": "No notebook is edible."
},
{
"id": "b",
"text": "All stationery items are notebooks."
},
{
"id": "c",
"text": "Some notebooks are edible."
},
{
"id": "d",
"text": "Everything that is not edible is a notebook."
}
],
"answerId": "a",
"explanation": "Every notebook belongs to the stationery group, and every member of that group is not edible. The other statements reverse or contradict the given relationships."
},
{
"id": "reasoning-shortest-distance",
"topicId": "reasoning",
"difficulty": "medium",
"prompt": "A student walks 4 km north and then 3 km east. What is the straight-line distance from the starting point?",
"options": [
{
"id": "a",
"text": "1 km"
},
{
"id": "b",
"text": "5 km"
},
{
"id": "c",
"text": "7 km"
},
{
"id": "d",
"text": "12 km"
}
],
"answerId": "b",
"explanation": "The two legs are perpendicular. By the Pythagorean theorem, the straight-line distance is the square root of (4 squared + 3 squared), which is 5 km."
},
{
"id": "reasoning-three-person-order",
"topicId": "reasoning",
"difficulty": "easy",
"prompt": "A, B, and C stand in a row facing north. A is to the left of B, and B is to the left of C. Who is at the left end?",
"options": [
{
"id": "a",
"text": "A"
},
{
"id": "b",
"text": "B"
},
{
"id": "c",
"text": "C"
},
{
"id": "d",
"text": "Cannot be determined"
}
],
"answerId": "a",
"explanation": "The constraints give the order A, B, C from left to right, so A is at the left end."
},
{
"id": "reasoning-letter-shift",
"topicId": "reasoning",
"difficulty": "medium",
"prompt": "A code replaces each letter with the next letter of the alphabet, so MAP becomes NBQ. How is CAR written?",
"options": [
{
"id": "a",
"text": "DBS"
},
{
"id": "b",
"text": "BZQ"
},
{
"id": "c",
"text": "DCS"
},
{
"id": "d",
"text": "CBR"
}
],
"answerId": "a",
"explanation": "Shift C to D, A to B, and R to S. CAR becomes DBS."
},
{
"id": "verbal-neither-agreement",
"topicId": "verbal",
"difficulty": "medium",
"prompt": "In formal written English, choose the correct word: Neither of the two proposals ___ ready.",
"options": [
{
"id": "a",
"text": "are"
},
{
"id": "b",
"text": "were"
},
{
"id": "c",
"text": "is"
},
{
"id": "d",
"text": "have"
}
],
"answerId": "c",
"explanation": "In formal subject-verb agreement, 'neither' is singular here, so it takes the singular verb 'is'."
},
{
"id": "verbal-concise-meaning",
"topicId": "verbal",
"difficulty": "easy",
"prompt": "A teacher asks for a concise explanation. Which description best matches 'concise'?",
"options": [
{
"id": "a",
"text": "Long and repetitive"
},
{
"id": "b",
"text": "Brief and clear"
},
{
"id": "c",
"text": "Uncertain and hesitant"
},
{
"id": "d",
"text": "Technical and difficult"
}
],
"answerId": "b",
"explanation": "A concise explanation expresses the important information clearly in few words."
},
{
"id": "verbal-duration-preposition",
"topicId": "verbal",
"difficulty": "easy",
"prompt": "Choose the correct word: She has been studying ___ two hours.",
"options": [
{
"id": "a",
"text": "since"
},
{
"id": "b",
"text": "from"
},
{
"id": "c",
"text": "during"
},
{
"id": "d",
"text": "for"
}
],
"answerId": "d",
"explanation": "Use 'for' with a duration such as two hours. Use 'since' with a starting point, such as 9 a.m."
},
{
"id": "verbal-active-voice",
"topicId": "verbal",
"difficulty": "medium",
"prompt": "Which active-voice sentence preserves the meaning of 'The report was submitted by Nila'?",
"options": [
{
"id": "a",
"text": "Nila submitted the report."
},
{
"id": "b",
"text": "Nila will submit the report."
},
{
"id": "c",
"text": "The report submitted Nila."
},
{
"id": "d",
"text": "Nila is submitting the report."
}
],
"answerId": "a",
"explanation": "The original sentence describes a completed past action. 'Nila submitted the report' makes Nila the subject and keeps the same tense and meaning."
},
{
"id": "verbal-attendee-inference",
"topicId": "verbal",
"difficulty": "medium",
"prompt": "Every attendee at a workshop registered in advance. Ravi attended that workshop. Which conclusion follows?",
"options": [
{
"id": "a",
"text": "Ravi organized the workshop."
},
{
"id": "b",
"text": "Ravi registered in advance."
},
{
"id": "c",
"text": "Ravi was the first to register."
},
{
"id": "d",
"text": "Everyone who registered attended."
}
],
"answerId": "b",
"explanation": "Ravi is an attendee, and the statement says every attendee registered in advance. It gives no information about registration order or people who registered but did not attend."
},
{
"id": "verbal-ambiguous-meaning",
"topicId": "verbal",
"difficulty": "easy",
"prompt": "If an instruction is ambiguous, what does that mean?",
"options": [
{
"id": "a",
"text": "It is always incorrect."
},
{
"id": "b",
"text": "It is unusually short."
},
{
"id": "c",
"text": "It can be understood in more than one way."
},
{
"id": "d",
"text": "It must be followed immediately."
}
],
"answerId": "c",
"explanation": "An ambiguous statement has more than one possible interpretation. Clear wording helps remove the uncertainty."
},
{
"id": "programming-number-type",
"topicId": "programming",
"difficulty": "easy",
"prompt": "In JavaScript, what string does typeof 42 return?",
"options": [
{
"id": "a",
"text": "\"integer\""
},
{
"id": "b",
"text": "\"number\""
},
{
"id": "c",
"text": "\"string\""
},
{
"id": "d",
"text": "\"float\""
}
],
"answerId": "b",
"explanation": "JavaScript represents ordinary numeric values such as 42 using the number type. typeof returns the string 'number'."
},
{
"id": "programming-array-length",
"topicId": "programming",
"difficulty": "easy",
"prompt": "In JavaScript, what is the value of [2, 4, 6].length?",
"options": [
{
"id": "a",
"text": "2"
},
{
"id": "b",
"text": "3"
},
{
"id": "c",
"text": "6"
},
{
"id": "d",
"text": "12"
}
],
"answerId": "b",
"explanation": "The array contains three elements. Its length is 3, independently of the values stored in those elements."
},
{
"id": "programming-loop-sum",
"topicId": "programming",
"difficulty": "medium",
"prompt": "A program starts total at 0, then adds each integer from 1 through 4, inclusive, once. What is total at the end?",
"options": [
{
"id": "a",
"text": "4"
},
{
"id": "b",
"text": "6"
},
{
"id": "c",
"text": "10"
},
{
"id": "d",
"text": "16"
}
],
"answerId": "c",
"explanation": "The loop adds 1 + 2 + 3 + 4. The final total is 10; 'inclusive' means that 4 is included."
},
{
"id": "programming-binary-search",
"topicId": "programming",
"difficulty": "medium",
"prompt": "For n sorted items, binary search repeatedly halves the remaining search range. What is its worst-case time complexity?",
"options": [
{
"id": "a",
"text": "O(1)"
},
{
"id": "b",
"text": "O(log n)"
},
{
"id": "c",
"text": "O(n)"
},
{
"id": "d",
"text": "O(n squared)"
}
],
"answerId": "b",
"explanation": "Each comparison removes roughly half of the remaining candidates. The number of halvings needed grows logarithmically with n, so the worst case is O(log n)."
},
{
"id": "programming-value-copy",
"topicId": "programming",
"difficulty": "medium",
"prompt": "In JavaScript: let x = 5; const y = x; x = 8; What is the value of y afterward?",
"options": [
{
"id": "a",
"text": "5"
},
{
"id": "b",
"text": "8"
},
{
"id": "c",
"text": "undefined"
},
{
"id": "d",
"text": "The reassignment causes an error."
}
],
"answerId": "a",
"explanation": "The numeric value 5 is copied into y when it is assigned. Reassigning the separate variable x does not change y. x was declared with let, so that reassignment is allowed."
},
{
"id": "programming-stack-order",
"topicId": "programming",
"difficulty": "easy",
"prompt": "An empty stack receives push(10), then push(20), then pop(). Which value does pop() return?",
"options": [
{
"id": "a",
"text": "10"
},
{
"id": "b",
"text": "20"
},
{
"id": "c",
"text": "30"
},
{
"id": "d",
"text": "The stack is empty, so it returns nothing."
}
],
"answerId": "b",
"explanation": "A stack uses last-in, first-out order. The last value pushed was 20, so it is the first value popped."
}
]