1. The HCF of two number is 48 and their LCM is 1440. If the one number is 288 then other number is
(1) 96 (2) 144 (3) 192 (4) 240 (5) None of these
2. The least number which when divided by 25, 40 and 60 leaves the remainder 7 in each case, is
(1) 1207 (2) 607 (3) 609 (4) 593 (5) None of these
3. The LCM of two numbers is 495 and their HCF is 5. If the sum of the number is 100, then their
difference is,
(1) 10 (2) 46 (3) 20 (4) 90 (5) None of these
4. Four bells ring at intervals 4, 6, 8 and 14 sec. They start ringing simultaneously at 12.00 o’clock.At what time they will again ring simultaneously.
(1) 12 hr 2 min 48 sec (2) 12 hr 3 min (3) 12 hr 3 min 20 sec (4) 12 hr 3 min 44 sec (5) None of these
5. The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then that number is
(1) 78 (2) 104 (3) 91 (4) 117 (5) None of these
6. The product of LCM and HCF of two numbers is 24. The difference of the two numbers is 2. The numbers are
(1) 8 and 6 (2) 8 and 10 (3) 2 and 4 (4) 6 and 4 (5) None of these
7. The LCM of three different numbers is 120. Which of the following cannot be their HCF.
(1) 8 (2) 12 (3) 24 (4) 35 (5) None of these
8. The LCM and HCF of the numbers 28 and 42 are in the ratio
(1) 6 : 1 (2) 2 : 3 (3) 3 : 2 (4) 7 : 2 (5) None of these
9. The ratio of two numbers is 3 : 4 and their HCF is 4. Their LCM is
(1) 12 (2) 16 (3) 24 (4) 48 (5) None of these
10. The Least multiple of 23, which when divided by 18, 21 and 24 leaves remainder 7, 10 and 13 respectively, is
(1) 3013 (2) 3024 (3) 3036 (4) 3006 (5) None of these
11. The greatest number of five digits when divided by 3, 5, 8, 12 leave 2 as remainder is,
(1) 99999 (2) 99958 (3) 99962 (4) 99960 (5) None of these
12. The least multiple of 13 which on divided by 4, 5, 6, 7 and 8 leaves remainder 2 in each case, is
(1) 2320 (2) 842 (3) 2522 (4) 840 (5) None of these
13. A milkman has 75 L milk in one cane and 45 L in another. The maximum capacity of container which can measure milk of either container exact number of times is,
(1) 1 L (2) 5 L (3) 15 L (4) 25 L (5) None of these
14. Two number greater than 9 have HCF 9 and LCM 54. The sum of the number is
(1) 70 (2) 77 (3) 63 (4) 45 (5) None of these
15. Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder of 2, be N. The sum of digit in N is
(1) 3 (2) 5 (3) 4 (4) 6 (5) None of these
16. HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45 the sum of the numbers is,
(1) 70 (2) 77 (3) 63 (4) 36 (5) None of these
17. What is the least number of square tiles required to pare the floor of 1 room 15 m 17 cm long and 9 m 2 cm broad ?
(1) 840 (2) 841 (3) 820 (4) 814 (5) None of these
18. The greatest number which on dividing by 989 and 1327 leaves reminder 5 and 7 respectively is,
(1) 8 (2) 16 (3) 24 (4) 32 (5) None of these
19. A mango seller bought some mango for Rs. 207.70 and sold some of them at cost price of Rs.
107.20. Find the least number of mangoes still he had.
(1) 31 (2) 16 (3) 15 (4) Cannot be determined (5) None of these
20. Find the greatest number which divides 63,138 and 228 leaving in same remainder in each case.
(1) 12 (2) 15 (3) 19 (4) 20 (5) None of these
Answer key
Question No. Answer
1 4
2 2
3 1
4 1
5 3
6 4
7 4
8 1
9 4
10 1
11 3
12 3
13 3
14 4
15 2
16 3
17 4
18 3
19 3
20 2
(1) 96 (2) 144 (3) 192 (4) 240 (5) None of these
2. The least number which when divided by 25, 40 and 60 leaves the remainder 7 in each case, is
(1) 1207 (2) 607 (3) 609 (4) 593 (5) None of these
3. The LCM of two numbers is 495 and their HCF is 5. If the sum of the number is 100, then their
difference is,
(1) 10 (2) 46 (3) 20 (4) 90 (5) None of these
4. Four bells ring at intervals 4, 6, 8 and 14 sec. They start ringing simultaneously at 12.00 o’clock.At what time they will again ring simultaneously.
(1) 12 hr 2 min 48 sec (2) 12 hr 3 min (3) 12 hr 3 min 20 sec (4) 12 hr 3 min 44 sec (5) None of these
5. The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then that number is
(1) 78 (2) 104 (3) 91 (4) 117 (5) None of these
6. The product of LCM and HCF of two numbers is 24. The difference of the two numbers is 2. The numbers are
(1) 8 and 6 (2) 8 and 10 (3) 2 and 4 (4) 6 and 4 (5) None of these
7. The LCM of three different numbers is 120. Which of the following cannot be their HCF.
(1) 8 (2) 12 (3) 24 (4) 35 (5) None of these
8. The LCM and HCF of the numbers 28 and 42 are in the ratio
(1) 6 : 1 (2) 2 : 3 (3) 3 : 2 (4) 7 : 2 (5) None of these
9. The ratio of two numbers is 3 : 4 and their HCF is 4. Their LCM is
(1) 12 (2) 16 (3) 24 (4) 48 (5) None of these
10. The Least multiple of 23, which when divided by 18, 21 and 24 leaves remainder 7, 10 and 13 respectively, is
(1) 3013 (2) 3024 (3) 3036 (4) 3006 (5) None of these
11. The greatest number of five digits when divided by 3, 5, 8, 12 leave 2 as remainder is,
(1) 99999 (2) 99958 (3) 99962 (4) 99960 (5) None of these
12. The least multiple of 13 which on divided by 4, 5, 6, 7 and 8 leaves remainder 2 in each case, is
(1) 2320 (2) 842 (3) 2522 (4) 840 (5) None of these
13. A milkman has 75 L milk in one cane and 45 L in another. The maximum capacity of container which can measure milk of either container exact number of times is,
(1) 1 L (2) 5 L (3) 15 L (4) 25 L (5) None of these
14. Two number greater than 9 have HCF 9 and LCM 54. The sum of the number is
(1) 70 (2) 77 (3) 63 (4) 45 (5) None of these
15. Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder of 2, be N. The sum of digit in N is
(1) 3 (2) 5 (3) 4 (4) 6 (5) None of these
16. HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45 the sum of the numbers is,
(1) 70 (2) 77 (3) 63 (4) 36 (5) None of these
17. What is the least number of square tiles required to pare the floor of 1 room 15 m 17 cm long and 9 m 2 cm broad ?
(1) 840 (2) 841 (3) 820 (4) 814 (5) None of these
18. The greatest number which on dividing by 989 and 1327 leaves reminder 5 and 7 respectively is,
(1) 8 (2) 16 (3) 24 (4) 32 (5) None of these
19. A mango seller bought some mango for Rs. 207.70 and sold some of them at cost price of Rs.
107.20. Find the least number of mangoes still he had.
(1) 31 (2) 16 (3) 15 (4) Cannot be determined (5) None of these
20. Find the greatest number which divides 63,138 and 228 leaving in same remainder in each case.
(1) 12 (2) 15 (3) 19 (4) 20 (5) None of these
Answer key
Question No. Answer
1 4
2 2
3 1
4 1
5 3
6 4
7 4
8 1
9 4
10 1
11 3
12 3
13 3
14 4
15 2
16 3
17 4
18 3
19 3
20 2
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