Arithmetical Reasoning section 1 MCQ Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 2 EXERCISES
The following question based on Arithmetical Reasoning topic of verbal reasoning
(a) 9 times
(b) 7 times
(c) 8 times
(d) 11 times
The correct answers to the above question in:
Answer: (c)
L.C.M. of 6, 5, 7, 10 and 12 is 420.
So, the bells will toll together after every 420 seconds i.e. 7 minutes.
Now, 7 × 8 = 56 and 7 × 9 = 63.
Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the start.
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Read more question and answers set 1 Based Verbal Reasoning Questions and Answers
Question : 1
There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C ?
a) 10
b) 24
c) 12
d) 8
Answer »Answer: (b)
Total number of possible routes from the city A to city C = 4 × 6 = 24
Question : 2
At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of daal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?
a) 90
b) 60
c) 65
d) None of these
Answer »Answer: (b)
Let the number of guests be x. Then number of bowls of rice = $x/2$; number of bowls of dal = $x/3$; number of bowls of meat = $x/4$.
∴ $x/2 + x/3 + x/4$ = 65
⇔ ${6x + 4x + 3x}/{12}$ = 65 ⇔ 13x = 65 × 12
⇔ x = $({65 × 12}/{13})$ = 60
Question : 3
A man wears socks of two colours - black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
a) 39
b) 3
c) 20
d) None of these
Answer »Answer: (b)
Since there are socks of only two colours, so two out of any three socks must always be of the same colour.
Question : 4
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) 3 hours
b) 1 hour
c) 2 hours
d) 4 hours
Answer »Answer: (c)
Clearly, number of ways of arranging 5 books = 5!
= 5 × 4 × 3 × 2 × 1 = 120
So, total time taken = 120 minutes = 2 hours.
Question : 5
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) Middle finger
b) Thumb
c) Index finger
d) Ring finger
Answer »Answer: (c)
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.
Question : 6
Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are allenot connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is
a) 42
b) 18
c) 22
d) 43
Answer »Answer: (d)
Numbers from 1 to 60, which are divisible by 6 are : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
There are 10 such numbers.
Numbers from 1 to 60, the sum of whose digits is 6 are 6, 15, 24, 33, 42, 51, 60.
There are 7 such numbers of which 4 are common to the above ones. So, there are 3 such uncommon numbers.
Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.
Clearly, there are 4 such uncommon numbers.
So, numbers 'not connected with 6'
= 60 – (10 + 3 + 4) = 43.
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