1000+ Bank of Montreal (BMO) Aptitude Questions and Answers Pdf - 1
Question: 1
Find the square root of 0.1.
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
Ans: C
$$√0.1$$ = $$√{1/9}$$
= $${1}/{3}$$ = 0.3 33…. = 0.3.
Question: 2
What is the square root of 0.0009?
(A) 0.01
(B) 0.02
(C) 0.03
(D) 0.04
Ans: C
$$√0.0009$$ = $$√{9/10000}$$
= $$√9/√10000$$ = $${3}/{100}$$ = 0.03.
Question: 3
The number of digits in the square root of 6256857460009 is
(A) 4
(B) 5
(C) 6
(D) 7
Ans: C
The number of digits in the square root of a perfect square number of n digits is
(i) $${n}/{2}$$, if n is even
(ii) $${n + 1}/ {2}$$, if n is odd
Here, n = 12. So, required number of digits = $${n}/{2}$$ = $${12}/{6}$$ = 6.
Question: 4
How many two digit numbers satisfy this property. The last digit (unit’s/digit) of the square of the two digit number is 8?
(A) 1
(B) 2
(C) 3
(D) None of these
Ans: D
A number ending in 8 can never be a perfect square.
Question: 5
While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required I.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number?
(A) 12
(B) 13
(C) 16
(D) 18
Ans: B
Let the given number be x.
Then, x2 - 25 = (x - 25)2
⇔ x2 - 25 = x2 + 625 - 50x ⇔ 50x = 650 ⇔ x = 13.
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