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Number System

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

60480
62480
63480
61480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
Which choice provides the answer : If 2 + 3 = 10, 6 + 5 = 66, 7 + 2 = 63, 9 + 7 = 144 then, 8 + 4 = ?

88
114
102
96

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

96

Number System
7.98 x 3.75 + 1.28 x 15.5 = ?

46.765
47.765
48.765
49.765

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 29.925 + 19.84 = 49.765

Number System
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

47719
47649
48619
47619

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619     333333----------------        0

Number System
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number?

270
360
295
240

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

60
54
58
56

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

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