Question-1 At the annual general meeting, 12 members shook hands with each other before & after the meeting. How many total numbers of handshakes occurred?
A 144
B 132
C 130
D 66
E 80
Explanation
B (132)
There are 12 people overall. It means that each 12 of them would have given 11 people handshakes ( excluding themselves) So 12 X 11 gives 132. Now its said that they have all shook hands before and after the meeting. So its twice of 132 which would be 264. But here we have got the trouble of double counting. That is when 2 people shake with each other that is not 2 handshakes but only one. So let’s divide 264 by 2. Thus we get 132.
Question-2 Rohan adores chocolates. He likes biscuits. But he hates apples. His mother told him that he can buy as many chocolates he wishes. But then he must have biscuits twice the number of chocolates and should have apples more than biscuits and chocolates together. Each chocolate cost Re 1. The cost of apple is twice the chocolate and four biscuits are worth one apple. Then which of the following can be the amount that the mother spent on that evening on her son if number of chocolates, biscuits and apples brought were all integers?
A Rs. 8
B Rs. 34
C Rs. 36
D Rs. 33
E Rs. 5
Explanation
B (Rs 34)
When numbers of chocolates, biscuits and apples are integers. Now let’s say number of chocolates taken 1 , then biscuits will be 2 and apples can be 4,5,6,7
Hence minimum money that should be spent = 1+1+8 = 10
Now when number of chocolates are 4 Biscuits will be 8 And apples can be 13,14,15.
Now total money spent can be 4+4+26 = 34 and more of it.
Question-3 In a queue of 13 persons buying tickets from a counter, if every second person from the counter is a female and the person at the beginning and at the end of the queue are also females. How many persons in the queue are male?
A 4
B 5
C 6
D 7
E 8
Explanation
C (6)
According to condition,
Females will be at following positions – 1,3,5,7,9,11,13 = 7 females
No. of Males = 13-7 = 8
