Problems on LCM & HCF Mcqs - Set 3

1)   An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?

a. 3
b. 4
c. 5
d. 6
Answer  Explanation 

ANSWER: 3

Explanation:
HCF of 4956, 3894 = 354

(4956 – 3894)/354 = 3


2)   A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?

a. 39
b. 40
c. 37
d. 35
Answer  Explanation 

ANSWER: 37

Explanation:
HCF of 1189, 1073 = 29

1073/29 = 37


3)   In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are______?

a. 700,400
b. 820,360
c. 800,500
d. 820,369
Answer  Explanation 

ANSWER: 820,369

Explanation:
No explanation is available for this question!


4)   Least perfect square number, exactly divisible by 21, 36 and 56 is_________?

a. 3600
b. 504
c. 441
d. 7056
Answer  Explanation 

ANSWER: 7056

Explanation:
No explanation is available for this question!


5)   HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is_______?

a. 36
b. 66
c. 132
d. 264
Answer  Explanation 

ANSWER: 132

Explanation:
12 * 396 = 36 * x
x = 132


6)   Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?

a. 5 min
b. 5.5 min
c. 5.2 min
d. None
Answer  Explanation 

ANSWER: 5 min

Explanation:
No explanation is available for this question!


7)   Find the least number of five digits which is exactly divisible by 12, 15 and 18?

a. 1080
b. 10080
c. 10025
d. 11080
Answer  Explanation 

ANSWER: 10080

Explanation:
LCM = 180

180) 10000 (55

9900
———
100

10000 + 180 – 100 = 10080


8)   The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is________?

a. 1994
b. 1494
c. 1349
d. 1496
Answer  Explanation 

ANSWER: 1349

Explanation:
LCM = 1400

1400 – 6 = 1394


9)   A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is_______?

a. 31
b. 41
c. 51
d. 61
Answer  Explanation 

ANSWER: 31

Explanation:
LCM = 30 => 30 + 1 = 31


10)   The smallest number when increased by ” 1 ” is exactly divisible by 12, 18, 24, 32 and 40 is__________?

a. 1439
b. 1440
c. 1459
d. 1449
Answer  Explanation 

ANSWER: 1439

Explanation:
LCM = 1440

1440 – 1 = 1439