General Aptitude: HCF and LCM

Question | Correct Answer |
---|---|
A baker has 180 grams of almonds and 240 grams of walnuts. What is the largest number of identical packets he can make without any leftovers? | B. 60g |
Three friends go jogging every 6, 8, and 12 days. How many days will pass before they all go jogging together again? | A. 24 days |
A school plans to buy pencils and pens in boxes, each containing 24 pencils or 36 pens. What is the minimum number of items that a box must have to accommodate either pencils or pens without any leftover space? | B. 144 |
Two water tanks are filled every 5 and 7 hours respectively. How often are they filled at the same time? | A. 35 hours |
In a workshop, two machines produce parts every 30 and 45 minutes. After how many minutes will they produce parts simultaneously? | A. 90 minutes |
A tailor cuts cloth pieces of 90 cm and 120 cm lengths. What is the largest size of a uniform piece he can cut without wasting cloth? | B. 30 cm |
A parking lot has 72 cars and 108 motorcycles. What is the maximum number of equal-sized sections it can be divided into with no vehicles left over? | B. 18 |
Two athletes run around a track taking 20 and 25 minutes per lap. After how many minutes will they meet at the start line together? | B. 100 minutes |
A chef has 300 mL of sauce and 400 mL of dressing. What is the largest portion size he can use for both without any leftovers? | A. 100 mL |
Two clocks chime at intervals of 3 and 5 hours. How often do they chime together? | A. 15 hours |
A gardener has 210 roses and 280 daisies. What is the largest number of identical bouquets he can make without any flowers left over? | A. 35 |
Two elevators in a building stop at floors every 4 and 6 minutes. After how many minutes will they stop at a floor at the same time? | A. 12 minutes |
A store has 160 kg of rice and 200 kg of wheat. What is the largest bag size he can use to pack them equally without any leftovers? | B. 40 kg |
A school is planning to organize a trip and has 84 boys and 126 girls. What is the maximum number of buses needed if each bus carries the same number of boys and girls? | B. 14 |
Two traffic lights blink at intervals of 8 and 12 seconds. After how many seconds will they blink together? | A. 24 seconds |
A farmer has 120 apple trees and 180 pear trees. What is the largest number of identical rows he can plant them in without any trees left over? | A. 30 |
Two friends decide to meet every 10 and 15 days. How often will they meet on the same day? | A. 30 days |
A festival occurs every 28 days and a market every 35 days in a town. How often do the festival and market day coincide? | B. 70 days |
A library has 132 books in English and 176 books in French. What is the largest number of shelves needed to store them with no books left over? | C. 11 |
Two buses leave a station every 9 and 12 minutes. After how many minutes will they leave together again? | A. 36 minutes |
Choose the correct answer
Question 1: A baker has 180 grams of almonds and 240 grams of walnuts. What is the largest number of identical packets he can make without any leftovers?
Option 1: 30g
Option 2: 60g
Option 3: 90g
Option 4: 120g
Correct Answer: B. 60g
Question 2: Three friends go jogging every 6, 8, and 12 days. How many days will pass before they all go jogging together again?
Option 1: 24 days
Option 2: 48 days
Option 3: 36 days
Option 4: 60 days
Correct Answer: A. 24 days
Question 3: A school plans to buy pencils and pens in boxes, each containing 24 pencils or 36 pens. What is the minimum number of items that a box must have to accommodate either pencils or pens without any leftover space?
Option 1: 72
Option 2: 144
Option 3: 216
Option 4: 288
Correct Answer: B. 144
Question 4: Two water tanks are filled every 5 and 7 hours respectively. How often are they filled at the same time?
Option 1: 35 hours
Option 2: 10 hours
Option 3: 14 hours
Option 4: 21 hours
Correct Answer: A. 35 hours
Question 5: In a workshop, two machines produce parts every 30 and 45 minutes. After how many minutes will they produce parts simultaneously?
Option 1: 90 minutes
Option 2: 60 minutes
Option 3: 135 minutes
Option 4: 180 minutes
Correct Answer: A. 90 minutes
Question 6: A tailor cuts cloth pieces of 90 cm and 120 cm lengths. What is the largest size of a uniform piece he can cut without wasting cloth?
Option 1: 15 cm
Option 2: 30 cm
Option 3: 45 cm
Option 4: 60 cm
Correct Answer: B. 30 cm
Question 7: A parking lot has 72 cars and 108 motorcycles. What is the maximum number of equal-sized sections it can be divided into with no vehicles left over?
Option 1: 36
Option 2: 18
Option 3: 9
Option 4: 12
Correct Answer: B. 18
Question 8: Two athletes run around a track taking 20 and 25 minutes per lap. After how many minutes will they meet at the start line together?
Option 1: 50 minutes
Option 2: 100 minutes
Option 3: 75 minutes
Option 4: 125 minutes
Correct Answer: B. 100 minutes
Question 9: A chef has 300 mL of sauce and 400 mL of dressing. What is the largest portion size he can use for both without any leftovers?
Option 1: 100 mL
Option 2: 50 mL
Option 3: 25 mL
Option 4: 75 mL
Correct Answer: A. 100 mL
Question 10: Two clocks chime at intervals of 3 and 5 hours. How often do they chime together?
Option 1: 15 hours
Option 2: 8 hours
Option 3: 10 hours
Option 4: 12 hours
Correct Answer: A. 15 hours
Question 11: A gardener has 210 roses and 280 daisies. What is the largest number of identical bouquets he can make without any flowers left over?
Option 1: 35
Option 2: 70
Option 3: 14
Option 4: 10
Correct Answer: A. 35
Question 12: Two elevators in a building stop at floors every 4 and 6 minutes. After how many minutes will they stop at a floor at the same time?
Option 1: 12 minutes
Option 2: 24 minutes
Option 3: 8 minutes
Option 4: 18 minutes
Correct Answer: A. 12 minutes
Question 13: A store has 160 kg of rice and 200 kg of wheat. What is the largest bag size he can use to pack them equally without any leftovers?
Option 1: 20 kg
Option 2: 40 kg
Option 3: 80 kg
Option 4: 10 kg
Correct Answer: B. 40 kg
Question 14: A school is planning to organize a trip and has 84 boys and 126 girls. What is the maximum number of buses needed if each bus carries the same number of boys and girls?
Option 1: 21
Option 2: 14
Option 3: 7
Option 4: 42
Correct Answer: B. 14
Question 15: Two traffic lights blink at intervals of 8 and 12 seconds. After how many seconds will they blink together?
Option 1: 24 seconds
Option 2: 48 seconds
Option 3: 60 seconds
Option 4: 36 seconds
Correct Answer: A. 24 seconds
Question 16: A farmer has 120 apple trees and 180 pear trees. What is the largest number of identical rows he can plant them in without any trees left over?
Option 1: 30
Option 2: 60
Option 3: 15
Option 4: 45
Correct Answer: A. 30
Question 17: Two friends decide to meet every 10 and 15 days. How often will they meet on the same day?
Option 1: 30 days
Option 2: 45 days
Option 3: 60 days
Option 4: 75 days
Correct Answer: A. 30 days
Question 18: A festival occurs every 28 days and a market every 35 days in a town. How often do the festival and market day coincide?
Option 1: 140 days
Option 2: 70 days
Option 3: 105 days
Option 4: 210 days
Correct Answer: B. 70 days
Question 19: A library has 132 books in English and 176 books in French. What is the largest number of shelves needed to store them with no books left over?
Option 1: 22
Option 2: 44
Option 3: 11
Option 4: 88
Correct Answer: C. 11
Question 20: Two buses leave a station every 9 and 12 minutes. After how many minutes will they leave together again?
Option 1: 36 minutes
Option 2: 18 minutes
Option 3: 54 minutes
Option 4: 72 minutes
Correct Answer: A. 36 minutes
CGPSC 2024 Practice Question, छत्तीसगढ़ राज्य सेवा परीक्षा: अभ्यास प्रश्नों के PDF
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