A) Only 3 | B) Both 2 & 3 |

C) Any two of (1, 2 & 3) | D) None |

Explanation:

Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.

Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.

Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.

Hence by using any two of the three statements(1,2&3) we get rate of interest.

A) Only conclusion I follows | B) Both conclusion II & III follows |

C) None follows | D) Only conclusion II follows |

A) Only Conclusion I is true | B) Only Conclusion II is true |

C) Both conclusions I & II are true | D) Neither conclusion I nor II is true |

Explanation:

From the given Statements :

1. I > W > T > N

2. F = G = C

Conclusions are :

I. W > I (False)

II. C > N (True)

A) Only A follows | B) Only B follows |

C) Both (A) and (B) follows | D) Neither (A) nor (B) follows |

A) a >= b | B) a <= b |

C) a < b | D) a > b |

Explanation:

From solving 1 and 2 we get,

1.

5a(a-3)-3(a-3) = 0

(5a-3)(a-3) = 0

a = 3 or 3/5

2.

3b(b+2)-1(b+2) = 0

b = -2 or b = 1/3

Here when a = 3, a > b for b = -2 and b = 1/3

when a = 3/5. a > b for b = -2 and b = 1/3.

Hence, it is clear that a > b.

A) only conclusion B is true. | B) only conclusion A is true. |

C) neither conclusion I nor II is true. | D) either conclusion I or II is true. |

Explanation:

From given statements, we can conclude that

**N > C < T < L= P > Q** .....(1)

Here given that **C > Y** but in eq(1) we got that **C < T < T <= P** => Y is definitely less than P.

So only conclusion B is True.

A) If statement B alone is sufficient but statement A alone is not sufficient. | B) If statement A alone is sufficient but statement B alone is not sufficient. |

C) If both statement together are sufficient, but neither statement alone is sufficient. | D) If statement A and B together are not sufficient. |

Explanation:

From both statements we cannot conclude the train catched by Harish

Since he missed at 4.15 and train coes at 4.30, 4.45, 5.00,...

But in B given that he didn't catch the train at 4.45 and after that.

So both statements A & B together are not sufficient to answer the question.

A) Only A is sufficient | B) Only B is sufficient |

C) Both (A) and (B) are sufficient | D) None of the above |

Explanation:

From statement B,

As the value of L = 0, the value of KL = 0.

Hence only statement B is sufficient.

A) Only A is sufficient | B) Only B is sufficient |

C) Both (A) and (B) are sufficient | D) None |

Explanation:

From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.

From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.

Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.

Pipe B takes 120 hours to fill the cistern.

If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.

If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled **1/40 + 1/120 = 1/30** th of the tank in an hour. Or the cistern will fill in 30 hours.

If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled **1/120 + 1/40 = 1/30** th of the tank in an hour. Or the cistern will fill in 30 hours.

As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.