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Number System

Number System
Which choice provides the answer in the following : If 2 * 3 = 36, 5 * 4 = 400, 6 * 2 = 144, 3 * 3 = 81; then, 5 * 5 = ?

425
525
625
325

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

625

Number System
The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14

211
215
239
221

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239

Number System
The sum of three consecutive multiples of 3 is 72. What is the largest number?

36
21
27
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.

Number System
732.96 + 405.38 - 604.08 - 105.44 + 222.86 = ?

621.68
631.68
641.68
651.68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 1361.20 - 709.52 = 651.68

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

120
124
112
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ?

74
75
76
73

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76

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