Question 1 :
|16 - 25| + √(25 - 16) =
(A) -12 (B) -6 (C) 0 (D) 6 (E) 12
Solution :
= |16 - 25| + √(25 - 16)
= |- 9| + √9
Since negative sign is inside the absolute value, we may convert it into positive.
= 9 + 3
= 12
Hence 12 is the answer.
Question 2 :
Which of the following is 81, 455 rounded to the nearest 100 ?
(A) 81, 000 (B) 81, 400 (C) 81, 500 (D) 82, 000 (E) 90, 000
Solution :
In hundreds place, we have 4. In order to round this digit, we have to look into the next digit.
If we have 5 or more than 5, we may add 1 and round the number.
Hence the answer is 81, 500.
Question 3 :
If 35% of x is 7, what is x% of 35 ?
(A) 7 (B) 20 (C) 28 (D) 35 (E) 42
Solution :
Given that :
35% of x = 7
From this, first let us find the value of x.
(35/100) ⋅ x = 7
x = 7(100/35)
x = 20
x% of 35 means 20% of 35,
= (20/100) of 35
= (20/100) ⋅ 35
= 7
Hence the answer is 7.
Question 4 :
A number is considered "blue" if sum of its digits is equal to the product of its digits. Which of the following number is "blue" ?
(A) 111 (B) 220 (C) 321 (D) 422 (E) 521
Solution :
111 = 1 + 1 + 1 ≠ 1 ⋅ 1 ⋅ 1
220 = 2 + 2 + 0 = 2 ⋅ 2 ⋅ 0 = 4
Hence the required number is 4.
Question 5 :
For any two numbers a and b, a ? b = (a + b)(a - b). For example, 10 ? 5 = (10 + 5) (10 - 5) = 15 (5) = 75. The value pf 7 ? 5.
(A) 2 (B) 12 (C) 24 (D) 36 (E) 48
Solution :
10 ? 5 = (10 + 5) (10 - 5) = 15 (5) = 75.
7 ? 5 = (7 + 5) (7 - 5) = 12 (2) = 24.
Hence the answer is 24.
Question 6 :
What is the greatest integer less than 71/6 ?
(A) 9 (B) 10 (C) 11 (D) 12 (E) 13
Solution :
71/6 = 11.8
The greatest integer less than 11.8 is 11.
Hence the answer is 11.
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