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Number System

Number System
If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?

2875
2725
None of these
2675

ANSWER DOWNLOAD EXAMIANS APP

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

124
120
116
112

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
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

114
118
112
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

Number System
The product of two consecutive odd numbers is 4095 What is the greater number ?

69
61
65
74

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65

Number System
A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ?

Rs. 79
Rs. 74
Rs. 62
Rs. 68

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5         = 4.5 + 8.5 + 22 + 18 + 15         = Rs 68

Number System
3251 + 587 + 369 - ? = 3007

1200
1375
1250
1300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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