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Number System

Number System
What is the difference between the local values of 3 in the number 53403?

3030
2997
0
3003

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3000 – 3 = 2997

Number System
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number ?

Rs. 1054
Rs. 945
Rs. 986
Rs. 926

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.78% of x - 59% of x = 323= 78x - 59x/100 = 323= 19x/100 = 323∴ x = 323 x 100/19 = 1700= 62% of 1700 = 1700 x 62/100 = 1054

Number System
If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1)

75
88
64
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
In how many different ways can the letters of the word CORPORATION be arranged ?

None of these
2326400
3326400
1326400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

CORPORATION = 11 letters 'O' comes thrice,'R' twice.∴ total no. of ways = 111/3121 = 3326400

Number System
(164 x 175) x ? = 258300

2
9
11
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 258300 / 164 x 175 = 9

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

120
116
112
124

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

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