GATE EC 2018 Question Paper (10-Feb-2018) (Shift 1)

"By giving him the last _______ of the cake, you will ensure lasting ______ in our house today".

The words that best fill the blanks in the above sentence are

"Even though there is a vast scope for its _______, tourism has remained a/an ______ area."

The words that best fill the blanks in the above sentence are

If the number 715_423 is divisible by 3 (_ denotes the missing digit in the thousandths place), then the smallest whole number in the place of _ is _______.

What is the value of $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+\frac{1}{256}+\dots ?$

A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters?