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**Questions**hide

## GRE Score Mock Test for Students

## The length, breadth, and height of a rectangular solid are in the ratio of 5 : 4 : 2. If the total surface area is 1216 square cm. Find the dimensions of the solid.

(a) (20,8,16)

(b) (16,8,6)

(c) (20,8,12)

(d) (8,12,16)

(e) (20,16,8)

Option e – (20,16,8)

## A rectangular tank 25 cm long and 20 cm wide and 12 cm deep contains water to a depth of 5 cm. A metal cube of side 8 cm is placed in the tank so that one face of the cube rests on the bottom of the tank. Find how many liters of water must be poured into the tank so as to just cover the cube.

(a) 750

(b) 1000

(c) 900

(d) 800

(e) 640

Option a – 750

## The diagonal of the floor of a rectangular room is 17 feet. The shorter side of the room is 8 feet What is the area of the room?

(a) 270

(b) 122

(c) 124

(d) 120

(e) None of these

Option d – 120

## A room is 6 m long, 5 m broad and 4 m high. There is a door 3 m by 1 m and two windows each 1.5 m by 1 m. Find the cost (Rs.) : (i) of distempering the walls at Rs. 1.50 per square meter; (ii) of carpeting the floor at Rs. 10 per square meter.

(a) 123,340

(b) 103,300

(c) 123,300

(d) 134,300

(e) None of these

Option c – 123,300

## Find the edge of a closed cubical box whose surface area is 384 square cm. Also, find the volume of the cube in cubic centimeters.

(a) 8,264

(b) 4,512

(c) 16,256

(d) 8, 512

(e) None of these

Option d – 8, 512

## Half a centimeter of rainwater from a flat roof 12 m x 7 m drains down into a tank which has dimensions 4.2 x 2.0 m x 3.0 m. What depth of rainfall will fill the tank?

(a) 10

(b) 5

(c) 9

(d) 8

(e) None of these

Option b – 5

## A field 300 m x 50 m has two crossroads 5 m wide. The remaining area is ……. sq m

(a) 12225

(b) 12750

(c) 13225

(d) 13500

(e) 13275

Option c – 13225

## If 8x represents the perimeter of a rectangle and 2x + 3 represents its length, what is the width?

(a) 6x + 3

(b) 6x – 3

(c) 2x – 3

(d) 3

(e) None of these

Option c – 2x – 3

## The length of a rectangle is increased by 50%. By what percent would the width have to be decreased to maintain the same area?

(a) 33.33

(b) 50

(c) 66.67

(d) 150

(e) None of these

Option a – 33.33

## How many tiles (each 1 ft square) are required to form a 1 ft border inside a room 24 feet by 14 feet?

(a) 36

(b) 72

(c) 74

(d) 76

(e) None of these

Option b – 72

## If a rectangle has a diagonal of length 10 and a side of length 6, what its area is?

(a) 60

(b) 56

(c) 50

(d) 48

(e) None of these

Option d – 48

## A field 240 m x 70 m will have what length of diagonal in meters?

(a) 240

(b) 250

(c) 260

(d) 270

(e) None of these

Option b – 250

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