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Number System

Number System
If the difference between a number and two-fifths of that number is 45 what is the number ?

77
76
75
78

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x ∴ x - 2x/5 = 45∴ x = 75

Number System
3251 + 587 + 369 - ? = 3007

1375
1250
1200
1300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

Number System
The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?

388
344
252
296

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

Number System
The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ?

1031.75
1037.75
1043.75
1027.75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216      Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75

Number System
The simplest form of 1.5 : 2.5 is :

3 : 5
5 : 7
13 : 11
17 : 19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 : 5

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1580
1480
1780
1680

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

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