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Number System

Number System
What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?

2435
2345
5243
2105

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2000 + 300 + 40 + 5 = 2345

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

108
107
109
106

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

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

62480
60480
61480
63480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

85
80
83
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

Number System
5358 * 51 = ?

273348
273258
273358
273268

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

163
124
179
146

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

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