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Number System

Number System
What is the sum of all even numbers from 1 to 701?

123850
122550
122850
122500

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

700/2 = 350350 * 351 = 122850

Number System
3251 + 587 + 369 - ? = 3007

1375
1200
1250
1300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

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

1300
1260
1280
1240

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

40
37
39
38

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

4
5
7
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.

Number System
5525 ÷ 17 = √?

93025
112225
105625
99225

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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