31) Five bells begin to toll together at intervals of 9 s, 6 s, 4 s, 10 s and 8 s, respectively. How many times will they toll together in the span of 1 h (excluding the toll at the start)?
(a) 5
(b) 8
(c) 10
(d) Couldn’t be determined
(e) None of the above
Ans: c
32) Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.
(a) 15 cm
(b) 25 cm
(c) 35 cm
(d) 42 cm
(e) 45 cm
Ans: c
33) When in each box 5 or 6 dozens of apples were packed, three dozens were left. Therefore, bigger boxes were taken to pack 8 or 9 dozens of apples. However, still three dozens of apples remained. What was the least number of dozens of apples to be packed?
(a)363 dozens
(b) 315 dozens
(c) 345 dozens
(d) 335 dozens
(e) None of the above
Ans: a
34) Three hells chime at intervals of 48, 60 and 90 min, respectively. If all the three bells chime together at 10:00 am, at what time will all the three chime again that day? [IB Grade II 2012]
(a) 1:00 pm
(b) 2:00 pm
(c) 8:00 pm
(d) 10:00 pm
Ans: d
35) For any integers a and b with HCF (a, 6) = ; what is HCF (o + b, a – b) equal to?
(a) It is always 1
(b) It is always 2
(c) Either 1 or 2
(d) None of the above
ans: c
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