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Arithmetical Reasoning

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1. A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes?
 
  • A. 30 rolls
  • B. 58 rolls
  • C. 120 rolls
  • D. 150 rolls
Ans: C.
Sol.
Number of cuts made to cut a roll into 10 pieces = 9.
Therefore Required number of rolls = 45 × 24 / 9 = 120.
 
2. A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 a.m., at what will he first touch a flag at 120 feet from the ground?
 
  • A. 4 p.m
  • B. 5 p.m.
  • C. 6 p.m.
  • D. 8 p.m.
Ans: C.
Sol.
Let ascent of the monkey in 1 hour = ( 30 - 20 ) = 10 feet.
So, the monkey ascends 90 feet in 9 hours i.e., 5 p.m.
Clearly, in the next 1 hour i.e., till 6 p.m.
The monkey ascends remaining 3o feet to touch the flag.
 
3. A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C and D?
 
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Ans: B.
Sol.
Since B and D are twins. So B = D.
Now A = B + 3 and A = C - 3.
Thus, B + 3 = C - 3 ‹=› D + 3 = C - 3 ‹=› C - D = 6.
 
4. A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger?
 
  • A. Ring finger
  • B. Middle finger
  • C. Thumb
  • D. Index finger
Ans: D.
Sol.
Clearly, while counting the numbers associated to the thumb will be 1,9,17,25,.........
i.e., numbers of the form (8n + 1 ).
Since 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger.
 
 
5. Between two book ends in your study are displayed your five favourite puzzle books. If you decide to arrange the five books in every possible combination and moved just one book every minute, how long would it take you?
 
  • A. 2 hours
  • B. 3 hours
  • C. 4 hours
  • D. 5 hours
Ans: A.
Sol.
Clearly, number of ways arranging 5 books,
= 5! = 5 × 4 × 3 × 2 × 1 = 120.
So total time taken = 120 minutes = 2 hours.