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- Question
A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?
Options- A. 183
- B. 153
- C. 63
- D. 123
- Correct Answer
- 183
ExplanationLCM of 9,10,12,15 is 180
Smallest natural number to get remainder of 3 is (180 + 3) = 183 - 1. The LCM of 72 and 84 is:
Options- A. 12 × 6 × 7
- B. 6 × 2 × 7
- C. 12 × 7 × 3
- D. 72 × 84 Discuss
- 2. Find the HCF of 865 and 2595.
Options- A. 25
- B. 2595
- C. 865
- D. 5 Discuss
- 3. Three different containers contain 1365 litres, 1560 litres and 1755 litres of mixtures of milk and water respectively. What biggest measure that can measure all the different quantities exactly ?
Options- A. 37 lit
- B. 97 lit
- C. 129 lit
- D. 195 lit Discuss
- 4. In a palace, three different types of coins are there namely gold, silver and bronze. The number of gold, silver and bronze coins is 18000, 9600 and 3600 respectively. Find the minimum number of rooms required if in each room should give the same number of coins of the same type ?
Options- A. 26
- B. 24
- C. 18
- D. 12 Discuss
- 5. Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:
Options- A. 40
- B. 60
- C. 100
- D. 120 Discuss
- 6. The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are
Options- A. (12, 60)
- B. (72, 30)
- C. (36, 60)
- D. (60, 72) Discuss
- 7. Which of the following has most number of divisors?
Options- A. 99
- B. 101
- C. 176
- D. 182 Discuss
- 8. The LCM and HCF of two numbers are 4284 and 32, respectively. If one of the numbers is 672, then the second number is;
Options- A. 102
- B. 64
- C. 204
- D. 92 Discuss
- 9. LCM of two co-prime numbers a and b is (a is greater than b):
Options- A. a
- B. a+b
- C. ab
- D. b Discuss
- 10. If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to
Options- A. 55/601
- B. 601/55
- C. 11/120
- D. 120/11 Discuss
Search Results
Correct Answer: 12 × 6 × 7
Correct Answer: 865
Correct Answer: 195 lit
Explanation:
From the given data,
containers contain mixtures of milk and water as 1365 lit, 1560 lit and 1755 lit.
Biggest measure that can measure all these different quantities exactly can be given by
HCF of (1365, 1560, 1755)
That can be found as
HCF of 1365, 1755 = 195
Now, HCF of 195 and 1560 = 195
Hence, biggest measure that can measure all the given different quantities exactly is 195 lit.
Correct Answer: 26
Explanation:
Gold coins = 18000 , Silver coins = 9600 , Bronze coins = 3600
Find a number which exactly divide all these numbers
That is HCF of 18000, 9600& 3600
All the value has 00 at end so the factor will also have 00.
HCF for 180, 96 & 36.
Factors of
180 = 3 x 3 x 5 x 2 x 2
96 = 2 x 2 x 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
Common factors are 2x2×3=12
Therefore, Actual HCF is 1200
Gold Coins 18000/1200 will be in 15 rooms
Silver Coins 9600/1200 will be in 8 rooms
Bronze Coins 3600/1200 will be in 3 rooms
Total rooms will be (15+8+3) = 26 rooms.
Correct Answer: 60
Explanation:
Let the numbers be 3x, 4x, 5x.
Then, their L.C.M = 60x.
So, 60x=3600 or x=60.
Therefore, The numbers are (3 x 60), (4 x 60), (5 x 60).
Hence,required H.C.F=60
Correct Answer: (36, 60)
Correct Answer: 176
Explanation:
99 = 1 x 3 x 3 x 11
101= 1 x 101
176= 1 x 2x 2 x 2 x 2 x 11
182= 1 x 2 x 7 x 13
So, divisors of 99 are 1, 3, 9, 11, 33, 99
divisors of 101 are 1,101
divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88, 176
divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
Hence , 176 hasthe most number of divisors.
Correct Answer: 204
Correct Answer: ab
Correct Answer: 11/120
Explanation:
Let the numbers be a and b . Then, a+b =55 and ab = 5 x 120 = 600.
Therefore, Required sum =
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