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Number System

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

60480
63480
62480
61480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

14
36
None of these
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

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

2410
2678
2520
2367

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

Number System
(3² x 4² x 5) ÷ 36 = (?)² - 80

14
16
10
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10

Number System
On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

3
5
0
11

ANSWER DOWNLOAD EXAMIANS APP

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. 68
Rs. 74
Rs. 62
Rs. 79

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

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