1000+ Management Aptitude Test (MAT) Questions and Answers - 1
Question: 1
Product of two co-prime numbers is 117. Their LCM should be
(A) 10
(B) 101
(C) 117
(D) equal to their HCF
Ans; C
HCF of co-prime numbers = 1
Product of co-prime numbers = 117
∴ LCM of co-prime numbers = $${117}/{1}$$ = 117.
Question: 2
Find the smallest whole number which is exactly divisible by 6, 8, 15, 18 and 24.
(A) 120
(B) 240
(C) 360
(D) 720
Ans: C
Required number = LCM of 6, 8, 15, 18 and 24 = 360
Question: 3
Find the maximum possible length which can be used to measure exactly the length 6 m, 4 m 75 cm and 10 m 25 cm.
(A) 10 cm
(B) 20 cm
(C) 25 cm
(D) 30 cm
Ans: C
Required maximum length = HCF of 6 m, 75 cm and 10 m 25 cm i.e., the HCF of 600 cm, 475 cm and 1025 cm = 25 cm.
Question: 4
In a school, 442 boys and 374 girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes?
(A) 16
(B) 18
(C) 20
(D) 24
Ans: D
Number of boys = 442; Number of girls = 374
As the number of boys in the class is same as that of girls.
Strength of one class = HCF of 442 and 374 = 34
∴ Number of classes of boys = 442 ÷ 34 = 13
Number of classes of girls = 374 ÷ 34 = 11
∴ Required number of classes = 13 + 11 = 24.
Question: 5
Find the HCF of 396 and 612.
(A) 12
(B) 24
(C) 36
(D) 48
Ans: C
396 = 2 × 2 × 3 × 3 × 11
612 = 2 × 2 × 3 × 3 × 17
∴ HCF = 22 × 32 = 36.
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