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Number System

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

6460
3360
2360
3260

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 8!/3! 2! = 40320/12 = 3360

Number System
3√103820 x 3√274620 = ?

3035
3045
3055
3065

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

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

1240
1300
1280
1260

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

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

STAK
STAR
STAM
STAB

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

STAB

Number System
?2704 x ?2209=?

2444
1444
3444
4444

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2444

Number System
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

18
81
24
42

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.

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