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Number System

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

62480
60480
63480
61480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
5358 * 51 = ?

273258
273358
273268
273348

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
If HKUJ means FISH, what does UVCD mean ?

STAK
STAB
STAR
STAM

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

STAB

Number System
5525 ÷ 17 = √?

93025
105625
112225
99225

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√? = 5525/17 = 325∴ ? = (325)² = 105625

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

80
77
85
83

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

36
21
24
27

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.

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