If both the conveyer belt P and the conveyer belt Q are used, they can fill a hopper with coal in one hour. How long will it take for the conveyer belt P alone to fill the hopper ? I. The conveyer belt P moves twice as much coal as the conveyer belt Q does in any given time. II. The conveyer belt Q would take three hours to fill the hopper without the conveyer belt P.
A :
If the question can be answered by using statement I alone but not by using II alone.
B :
If the question can be answered by using statement II alone but not by using I alone.
C :
If the question can be answered by using either statement alone.
D :
If the question can be answered by using both the statements together but not by either statement alone.
Answer: C Statement I : Let conveyer belt P fill the hopper in 2x hours, then conveyer belt Q fill the hopper in x hours. S0, 1/2x + 1/x = 1, So we can find the value of x. Statement II : Let conveyer belt P fill the hopper in y hours. 1 - 1/3 = 1/y, so y can be found. So, either of the statements alone is sufficient.
Q. No. 104:
Pipes A,B and C can be used for filling or emptying with the same capacity. If A and B are used for filling and C is used for emptying, a tank would be filled in 6 hours. Find the time taken by C to fill it. I. If all the pipes are used for filling, the tank would be filled in 2 hours. II. If B and C are used for filling and A is used for emptying, the tank would be filled in 6hr.
A :
If the question can be answered by using statement I alone but not by using II alone.
B :
If the question can be answered by using statement II alone but not by using I alone.
C :
If the question can be answered by using either statement alone.
D :
If the question can be answered by using both the statements together but not by either statement alone.
Answer: A Let the time taken by A,B and C to fill the tank be a, b and c minutes respectively. 1/a + 1/b - 1/c = 1/6 ...........(i) Statement I : 1/a + 1/b + 1/c = 1/2 ..............(ii) From i and ii :- 2/c = 1/2 - 1/6 = 1/3 => c = 6 Hence, I alone is sufficient. Statement II : 1/b + 1/c - 1/a = 1/6 ...........(iii) From i and iii : a = c a is unknown , c cannot be found. Required time cannot be found. Hence, B is not sufficient.
Q. No. 105:
Ravi rowed a boat from a point P in a river 24km downstream and then returned to P. Find the speed of his boat in still water if his upstream journey took x hours. I. The time he took for the downstream journey was 3 hours less than that for the upstream journey and x =6. II. His upstream and downstream speeds were 4kmhr and 6kmph respectively.
A :
If the question can be answered by using one of the statement alone, but cannot be answered by using the other statement alone.
B :
If the question can be answered by using either statements.
C :
If the question can be answered by using both statements together, but cannot be answered by using either statements alone.
D :
If the question cannot be answered even by using both the statements together.
Between A and B, one always truth (truth teller) and the other always lies (liar). Who is the truth teller ? I. A said "We both are liars". II. B said "We both are truth tellers".
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using either of the statements alone.
D :
If the question can be answered by using both the statements together but not by either of the statements alone.
Answer: C Statement I : A can't be truth teller, as there is only one liar. => A is liar, B is truth teller. Statement I alone is sufficient. Statement II : B can't be truth teller as there is only one truth teller. B is a liar. A is a truth teller. Statement II alone is sufficient.
Q. No. 107:
Mohan, Naresh, Pavan and Rakesh are from different cities- Hyderabad, Bangalore, Delhi and Mumbai - wearing different coloured shirts -red, blue, green and yellow not necessarily in the same order. The person from Bangalore is wearing which coloured shirt? I. Naresh neither is from Hyderabad nor is wearing a red coloured shirt. The person from Delhi wearing a blue coloured shirt. II. Neither Pavan nor Mohan is wearing a yellow coloured shirt. Pavan is from Mumbai. Rajesh is wearing a blue coloured shirt.
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using either of the statements alone.
D :
If the question can be answered by using both the statements together but not by either of the statements alone.
Answer: D Neither of the statement alone is sufficient as each has only partial information. On combining both :: Naresh is wearing a yellow coloured shirt. Also, Rajesh is from Delhi and Pavan is from Mumbai and wearing a red or green coloured shirt. => Naresh is from Bangalore and wearing a yellow coloured shirt.
Q. No. 108:
Among the three persons - Jagan, Madan and Sadan, one always tells truth (truth teller) one always lies (liar) and the other alternatively tells truth and lies (alternator) in any order. Jagan said, "the other two are liars". Who is the truth teller ? I. Madan said, "The other two are alternator". II. Sadan said, "The other two are not truth tellers".
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using either of the statements alone.
D :
If the question can be answered by using both the statements together but not by either of the statements alone.
Answer: C From the information given, Jagan can't be truth teller. Statement I : Madan is not truth teller. => Sadan is a truth teller. Statement I alone is sufficient. Statement II : Sadan must be truth teller. Statement II alone is sufficient.