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GATE Questions

A) 60 | B) 52 |

C) 45 | D) 35 |

Explanation:

Let the total applicants be 100

Then, 20% got 85 marks

i.e 20 85 = 1700

and 25% got 95 marks

i.e 25 95 = 2375

Now, the remaining applicants are 55 and let the average marks scored by them be x.

2375 + 1700 + 55 x = 60 100

6000 - 4075 = 55x

55x=1925

x=

x=35.

A) 404 | B) 415 |

C) 418 | D) 420 |

Explanation:

Let the total book be 1

Then, in the 1st week th of book is read

i.e remaining pages =

in 2nd week he read th of it

i.e

remaining pages after 2nd week =

But given remaining pages after 2nd week = 100

x = 418

The total pages in the book are 418

A) 28 24 15 16 04 09 | B) 28 24 16 15 09 04 |

C) 24 28 15 16 09 04 | D) 28 24 16 15 04 09 |

Explanation:

Carefully obsrving the given arrangement, we find the following pattern:

We observe that the given numbers are arranged in descending order (from left to right), altering the position of only one number in each step, followed by the other numbers as it is. The process continues till the whole set of numbers is arranged in the descending order.

Step1: 28 16 09 24 15 04

Step2: 28 24 16 09 15 04

Step3: 28 24 16 15 09 04

Hence, the answer is B

A) cough fight sough acts cats idea more | B) cough fight sough acts cats more idea |

C) cough more fight sough acts idea cats | D) none of these |

Explanation:

Carefully obsrving the given arrangement, we find the following pattern:

We observe that,first all the words with the highest number of letters are arranged in the alphabetical order, followed by the words with the second highest number of letters and so on.However, the position of only one word is altered at each step.

Input: more fight cats cough sough acts idea

Step1: cough more fight cats sough acts idea

Step2: cough fight more cats sough acts idea

Step3: cough fight sough more cats acts idea

Step4: cough fight sough acts more cats idea

Step5: cough fight sough acts cats more idea

Step6: cough fight sough acts cats idea more

Hence, the answer is A