Quantitative Aptitude & Reasoning
Q. What is the LCM of 8, 12, and 15?
Solution
The LCM of 8, 12, and 15 is 120, as it is the smallest number that is a multiple of all three.
Correct Answer: A — 120
Q. What is the LCM of 9 and 21?
Solution
The LCM of 9 and 21 is 63, as it is the smallest number that is a multiple of both.
Correct Answer: A — 63
Q. What is the next number in the sequence 2, 4, 8, 16?
Solution
The sequence doubles each time, so the next number is 32.
Correct Answer: C — 32
Q. What is the next term in the sequence 2, 4, 8, 16?
Solution
The sequence doubles each time, so the next term is 32.
Correct Answer: C — 32
Q. What is the product of the roots of the equation x^2 + 3x - 10 = 0?
Solution
The product of the roots is c/a = -10/1 = -10.
Correct Answer: A — -10
Q. What is the product of the roots of the equation x^2 + 5x + 6 = 0?
Solution
The product of the roots is c/a = 6/1 = 6.
Correct Answer: A — 6
Q. What is the product of the roots of the equation x^2 - 7x + 10 = 0?
Solution
The product of the roots is given by c/a = 10/1 = 10.
Correct Answer: A — 10
Q. What is the product of the roots of the polynomial x^2 - 5x + 6?
Solution
The product of the roots is given by c/a = 6/1 = 6.
Correct Answer: A — 6
Q. What is the relationship between HCF and LCM of two numbers a and b?
-
A.
HCF = a + b
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B.
HCF * LCM = a * b
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C.
HCF + LCM = a * b
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D.
HCF - LCM = a - b
Solution
The relationship is HCF * LCM = a * b, which holds for any two integers a and b.
Correct Answer: B — HCF * LCM = a * b
Q. What is the remainder when 12345 is divided by 7?
Solution
12345 mod 7 = 4, so the remainder is 4.
Correct Answer: B — 2
Q. What is the remainder when 25 is divided by 4?
Solution
25 divided by 4 gives a quotient of 6 and a remainder of 1.
Correct Answer: C — 3
Q. What is the remainder when 37 is divided by 5?
Solution
37 divided by 5 gives a quotient of 7 and a remainder of 2.
Correct Answer: C — 2
Q. What is the remainder when 45 is divided by 7?
Solution
45 divided by 7 is 6 with a remainder of 3.
Correct Answer: A — 1
Q. What is the remainder when 47 is divided by 6?
Solution
47 divided by 6 is 7 with a remainder of 5.
Correct Answer: B — 2
Q. What is the remainder when 57 is divided by 5?
Solution
57 divided by 5 is 11 with a remainder of 2.
Correct Answer: B — 3
Q. What is the result of 15 mod 4?
Solution
15 divided by 4 gives a remainder of 3, so 15 mod 4 = 3.
Correct Answer: A — 3
Q. What is the simplified form of (√(2) * √(8))?
-
A.
√(16)
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B.
4
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C.
2√(2)
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D.
8
Solution
√(2) * √(8) = √(16) = 4, but simplified is 2√(2).
Correct Answer: C — 2√(2)
Q. What is the simplified form of (√(a^2) * √(b^2))?
-
A.
ab
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B.
a^2b^2
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C.
a + b
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D.
a + b^2
Solution
√(a^2) * √(b^2) = ab.
Correct Answer: A — ab
Q. What is the sum of the first 10 positive integers?
Solution
The sum is 10(10 + 1)/2 = 55.
Correct Answer: A — 45
Q. What is the sum of the first 5 positive integers?
Solution
The sum is 1 + 2 + 3 + 4 + 5 = 15.
Correct Answer: B — 15
Q. What is the sum of the first five positive integers?
Solution
The sum is 1 + 2 + 3 + 4 + 5 = 15.
Correct Answer: B — 15
Q. What is the sum of the roots of the equation x^2 - 5x + 6 = 0?
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer: A — 5
Q. What is the sum of the roots of the equation x^2 - 6x + 8 = 0?
Solution
The sum of the roots is given by -b/a = 6/1 = 6.
Correct Answer: A — 6
Q. What is the sum of the roots of the equation x^2 - 7x + 10 = 0?
Solution
The sum of the roots is given by -b/a = 7/1 = 7.
Correct Answer: B — 7
Q. What is the value of (3^(2))^(3)?
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A.
3^(5)
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B.
3^(6)
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C.
3^(7)
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D.
3^(8)
Solution
Using the property (a^m)^n = a^(m*n), we have (3^(2))^(3) = 3^(2*3) = 3^(6).
Correct Answer: B — 3^(6)
Q. What is the value of (√(2) * √(8))?
Solution
√(2) * √(8) = √(16) = 4.
Correct Answer: B — 4
Q. What is the value of (√(2) + √(3))^2?
Solution
(√(2) + √(3))^2 = 2 + 3 + 2√(6) = 5 + 2√(6).
Correct Answer: C — 7
Q. What is the value of (√(3) + √(2))^2?
Solution
(√(3) + √(2))^2 = 3 + 2 + 2√(6) = 5 + 2√(6).
Correct Answer: C — 10
Q. What is the value of 10 - 3(2 + 1)?
Solution
Calculating gives 10 - 3(3) = 10 - 9 = 1.
Correct Answer: B — 4
Q. What is the value of 10 mod 3?
Solution
10 divided by 3 gives a remainder of 1.
Correct Answer: B — 2
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