A) Both a and b follows | B) Only c follows |

C) Only a follows | D) Both b and c follows |

Explanation:

The police ought to find out the lackenings in existing security arrangements and make up for these inadequacies to strengthen security and thus prevent criminal activities in the forthcoming festival. So, both a and b follow. Arresting the known criminals does not ensure safety, for a novice can also indulge in crime. So, c does not follow.

**1. Answer (c)**

Each time we order 1, one apple is added to the basket but each time when 4 is ordered, one apple is removed from it.

Required number of apples = number of 1's - number of 4's = 6 - 4 = 2

**2. Answer (d)**

Each time we order 1, 2 or 3, one fruit is added to the basket but when ever we order 4, two fruits are removed from it.

Required number = Number of 1's + Number of 2's + Number of 3's - 2 x (Number of 4's)

= 6 + 6 + 7 - (2x4)

= 19 - 8

= 11.

A) five | B) four |

C) two | D) one |

Explanation:

Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below :

2 8 3 8 2** 4 8 2** 4 8 6 8** 2 8 2** 4 8 3 8 2 8 6

So, there are two such 8's. Hence the answer is C.

1. Answer (b)

Santosh , Ujjwal and Varun must each receive at least three pieces, but Tarun must receive at least four pieces. The maximum number of pieces that any person may receive is six ( 6 + 3+ 3+3 = 15 ), and only Tarun may receive six pieces. Ujjwal and Varun each may receive as many as five pieces, while Santosh may receive only four pieces at maximum.

At least one pear.

2. Answer (c)

Varun may receive no more than five pieces and Tarun may receive no fewer than four pieces. As a result, if Varun receives more pieces than Tarun, then Varun must receive five pieces, and Tarun must receive four pieces. Thus, statement (a) must be true. Since Varun will receive five pieces, none of the other three friends will receive any apple, accordingly, each of the other three friends must receive at least one orange and at least one pear. Thus, statement (b) and (d) must be true.

A) R is true but A is fale | B) A is true but R is false |

C) Both A and R are false | D) R correctly explains A |

Explanation:

The seals found at Indus valley sites gave evidance of overseas trade, which was possible only with the knowledge of art of navigation.

Thus, both A and R are true & R correctly explains A.

A) R correctly explains A | B) R is true but A is fale |

C) A is true but R is false | D) Both A and R are false |

Explanation:

The problem of pumping out water from the flooded mines provided the need of self-working engine, which led James Watt to invent the same.

Thus, both A and R are true & R correctly explains A.

If heater D is used on the third day, heater B has to be used on the fourth day and A has to be used on the second day. But if A is used on second day, then either B or C has to be used on the first day. But if heater B is used on the first day, then according to the question, the requirement of having different heaters on the first day and fourth days would not be fulfilled. Hence the heater that would be used on the first day is C.

A) R correctly explains A | B) R is true but A is fale |

C) A is true but R is false | D) Both A and R are false |

Explanation:

The kerosene oil sprayed on the water provodes a thin cating and the larvae of the mosquitoes are prevented from coming up to breathe. Thus, they die.

Hence, A is true but R is false.