Previous Year LCM and HCF Questions for SSC CGL Exams-2017

Dear Students, SSC has released the notification for CGL 2017. This time again the competition is going to be very stiff. Questions from Quant are asked in Tier-1 and Tier-II as well. Hence, you need to focus on this subject more. The only trick to master Quant is "practice'. So, Practice daily. We are providing topic-wise quant quizzes, solve, learn, succeed.

Q1. Two jars of capacity 50 l and 80 l are filled with oil. What must be the capacity of a mug that can completely measure the oil of the two jars?
(a) 10 l
(b) 50 l
(c) 80 l
(d) 40 l

Q2. Find the largest number which divides 34, 90, 104 leaving the same remainder in each case?
(a) 14
(b) 16
(c) 28
(d) 42

Q3. The smallest multiple of 7 which when divided by 6, 9, 15 and 18 respectively, leaves 4 as the remainder in each case?
(a) 364
(b) 360
(c) 356
(d) none of these

Q4. The length of a circular path is 20 kms. Three runners start running from a point in the same direction with speed of 4 km/h, 5 km/h and 8 km/h respectively. After how many hours will they be together at the starting point again?
(a) 20
(b) 60
(c) 15
(d) None of these

Q5. Two numbers, both greater than 29, have HCF 29 and LCM 4147. Find the sum of the numbers?
(a) 696
(b) 144
(c) 169
(d) 225

Q6. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then find the difference between both the numbers.
(a) 5
(b) 10
(c) 15
(d) 20

Q7. The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and sum of HCF and LCM is 1150. The other number is–
(a) 225
(b) 235
(c) 240
(d) 250

Q8. Find the least number which when divided by 6, 7, 8, 9 and 12 leaves the remainder 1 in each case.
(a) 404
(b) 303
(c) 505
(d) 202

Q9. Find the least number which when divided by 5, 6, 7, 8 leaves remainder 3 but when divided by 9, leaves no remainder.
(a) 843
(b) 2523
(c) 1683
(d) 3363

Q10. Find the least number which when divided by 20, 25, 35, 40 leaves remainder 14, 19, 29, 34 respectively.
(a) 1220
(b) 1394
(c) 1365
(d) 1470

Q11. The LCM of two prime number x and y is 161 (where x > y). Find out the value of (3y – x).
(a) –2
(b) 2
(c) –4
(d) 4

Q12. Find the largest 5 digits number which is exactly divisible by 12, 15, 18, 27.
(a) 90000
(b) 99999
(c) 99010
(d) 99900

Q13. 3 different containers contain 496 L, 403 L and 713 L mixture of milk and water. What biggest measure of a container can measure all the 3 quantities exactly?
(a) 31
(b) 41
(c) 51
(d) 52

Q14. Three numbers are in ratio 2: 3: 4 and their HCF is 12. The LCM of the number is
(a) 144
(b) 192
(c) 96
(d) 72

Q15. If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be
(a) 60
(b) 120
(c) 180
(d) 240

Previous Year LCM and HCF Questions for SSC CGL Exams-2017(Solutions)

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