LET Reviewer - General Education (MATHEMATICS - LCM and GCF)





Taking the Board Licensure Examination for Professional Teachers (BLEPT), formerly known as Licensure Examination for Teachers (LET)? Try our online reviewer to enhance your knowledge on Professional Education below.


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Direction: Select the letter of the best answer.


1. Find the least common multiple of 8, 12 and 18.
a. 48
b. 64
c. 72
d. 80


Answer: c. 72



2. Find the least common multiple of 70 and 90.
a. 360
b. 490
c. 540
d. 630


Answer: d. 630



3. Find the least common multiple of 40 and 30.
a. 70
b. 120
c. 140
d. 160


Answer: b. 120





4. Find the least common multiple of 50 and 35.
a. 350
b. 360
c. 410
d. 465


Answer: a. 350



5. Find the least common multiple of 3, 4 and 9.
a. 12
b. 27
c. 28
d. 36


Answer: d. 36



6. A man smiles at her wife every 30 seconds while the wife smiles back every 45 seconds. When will both husband and wife smile at each other at the same time?
a. 45 seconds
b. 60 seconds
c. 75 seconds
d. 90 seconds


Answer: d. 90 seconds




7. Alyana can save 100 pesos everyday while Cardo can save 180 pesos. What is the least number of days it will take each person to save the same amount of money?
a. 280 pesos
b. 360 pesos
c. 720 pesos
d. 900 pesos


Answer: d. 900 pesos




8. A train to Santolan leaves a station every 5 minutes. Another train to Baclaran leaves the station every 7 minutes. Suppose it is 5:30 am right now. At what time will both trains leave the station together?
a. 6:00 am
b. 6:05 am
c. 6:15 am
d. 6:45 am


Answer: d. 6:45 am




9. A bell rings every 18 seconds, another every 60 seconds. At 5:00 pm the two ring simultaneously. At what time will the bells ring again at the same time?
a. 5:03 pm
b. 5:05 pm
c. 5:06 pm
d. 5:08 pm


Answer: a. 5:03 pm




10. In a morning walk, three persons step off together. Their steps measure 75 cm, 80 cm and 90 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?
a. 3000
b. 3200
c. 3400
d. 3600


Answer: d.  3600



11. What is the smallest number that when divided separately by 20 and 48, gives the remainder of 7 every time?
a. 77
b. 105
c. 247
d. 350


Answer: c. 247



12. Find the smallest number which on adding 19 to it is exactly divisible by 28, 36 and 45.
a. 1190
b. 1230
c. 1260
d. 1300


Answer: c. 1260



13. Find the common factors for 60 and 30.
a. 5
b. 15
c. 30
d. 60


Answer: C. 30



14. A cloth merchant has a cloth of length 121 meter and other of length 77 meter which he wishes to cut into strips of equal length. How many meters long strips should he cut so that he gets strips of equal length as long as possible.
a. 6
b. 8
c. 10
d. 11


Answer: d. 11



15. A teacher is to arrange 60 boys and 72 girls in rows. He wishes to arrange them in such a way that only boys or girls will be there in a row. Find the greatest number of students that could be arranged in a row.
a. 6
b. 8
c. 10
d. 12


Answer: d. 12



16. Find the number which divides 167 and 95 leaving 5 as remainder.
a. 9
b. 15
c. 18
d. 24


Answer: c. 18



17. Jessica wants of make a garland out of 8 roses, 12 daisies and 48 marigolds. How many arrangements can she make with those flowers so that, there is no flower left.
a. 2
b. 4
c. 6
d. 8


Answer: b. 4



18. Find the largest number that divides 92 and 74 leaving 2 as remainder.
a. 10
b. 12
c. 14
d. 18


Answer: d. 18



19. Find the GCF of 64 and 96.
a. 32
b. 36
c. 40
d. 64


Answer: a. 32



20. Find the GCF of 150 and 225.
a. 60
b. 65
c. 70
d. 75


Answer: d. 75



21. What is the greatest common factor of 36, 54 and 63?
a. 9
b. 12
c. 15
d. 21


Answer: a. 9



22. What is the greatest common factor of 39 and 78?
a. 18
b. 26
c. 39
d. 78


Answer: c. 39



23. A merchant has 120 liters of and 180 liters of two kinds of oil. He wants the sell oil by filling the two kinds of oil in tins of equal volumes. What is the greatest of such a tin.
a. 40
b. 60
c. 90
d. 120


Answer: b. 60



24. Find the least number of soldiers in a regiment such that they stand in rows of 15, 20, 25 and form a perfect square.
a. 250
b. 300
c. 350
d. 400


Answer: b. 300


25. Mei has 15 oranges, 9 peaches and 18 pears. She wants to put all of the fruit into baskets with each basket having the same number of pieces of fruit in it. Without mixing the fruit, what is the greatest number of pieces of fruit Mei can put in each basket?
a. 3
b. 6
c. 7
d. 9


Answer: a. 3

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