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Number System

Number System
(√6 + 1)² = ? + 2√6

6
8
7
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7

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

88
102
114
96

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

96

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

124
112
116
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.

9565
None of these
9974
9125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.

Number System
The simplest form of 1.5 : 2.5 is :

5 : 7
17 : 19
3 : 5
13 : 11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 : 5

Number System
9 3/4 + 7 2/17 - 9 1/15 = ?

9 719/1020
7 719/1020
7 817/1020
9 817/1020

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given sum = 9 + 3/4 + 7 + 2/17 - (9 + 1/15)= (9 + 7 - 9) + (3/4 + 2/17 - 1/15)= 7 + (765 + 120 - 68)/1020 = 7 817/1020

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