(2)
13. The
of the
(Show sleps of dursibilily test)
10. Find the common factors of 42 & 70.
11. find first three common multiples of 12 & 18. (8)
12. Write the smallest 5-digit number & express
it in the form of its prime factors
length, breadth & height of a room are 825cm,
675 cm & 450cm respectively. Find the longest Tape,
which can measure the three dimension
exactly.
14. Three bells toll at intervals of 9, 12 & 15 min. If
they start tolling together, after what time will
they next toll together ?
15. Determine the greatest 3-digit number exactly
divisible by 6, 18820.
16. Find the least number, which when divided bu
room
Answers
Answer:
Aptitude questions with Explanations - HCF and LCM
Express 11681095 in simple form?
a)1516 b)1615 c)89 d)1217 e)None
Answer: B
Explanation: To express any fraction in simple (small form), we have to find the HCF of numerator and denominator.
1095)1168(1
1095
73)1095(15
1095
———
0
HCF of 1095 and 1168 is 73
Therefore 116873109573=1615
Quantitative Aptitude Questions- HCF and LCM
Find the HCF of the numbers a and b, where
a = 25 x 32 x 76 x 114 and n = 23x34x56x11x133?
a)396 b)408 c)792 d)1584 e)None of these
Answer: C
Explanation: We use prime factorization method, because already the numbers m and n written as product of prime factors
We take only common factors with least powers
HCF = 23 x 32 x 11 = 792
Arithmetic Questions with Answers - HCF and LCM
Find the HCF of of 0.36, 0.48, 0.72 and 2.4
a)0.12 b)0.24 c)0.06 d)0.08 e)0.96
Answer: A
Explanation: Given numbers are decimal fractions.
Make the number of decimal places in all the given numbers the same
i.e., 0.36, 0.48, 0.72 and 2.40 this they become
36, 48, 72, 240 (multiply all by 100)
HCF of 36,48,72,240,=1
Previously we multiplied the given numbers by 100. Now to get the answer divide the obtained HCF by 12
HCF of 0.36,0.48,0.72 and 2.4= 0.12
Aptitude Questions with Explanations -HCF and LCM
What is the side of the largest possible square brick which can be paved on the floor of a room 4m 96cm long and 4m 3cm broad?
a)27 b)28 c)29 d)31 e)37
Answer: D
Explanation: This is the problem on applications of HCF.
Converting given measurements into centimeters
4m 96 cm = 400+96 = 496 cm
4m 3cm = 400+3 =403 cm
To find the side of the largest possible brick , the side of brick must divide length as well as breadth exactly.
Using division method
403)496(1
403
93) 403 (4
370
31) 93 (3
93
0
HCF = 31
Side of the largest possible square brick =31cm