General MCQs
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Q3681.If the average of 20 numbers is zero, at most how many of them may be greater than zero?
Correct Answer: C
To maximize positive numbers with a sum of 0, have 19 positive numbers and 1 very large negative number that cancels them. Thus, at most 19 can be positive.
Q3682.A father is 7 times as old as his son. Two years ago, he was 13 times as old. What are their current ages?
Correct Answer: B
Let the son's age be s, so the father's age is 7s. Two years ago: 7s - 2 = 13(s - 2) => 7s - 2 = 13s - 26 => 6s = 24 => s = 4. The father is 7 * 4 = 28 years old.
Q3683.A father was twice the age of her daughter 4 years ago. The sum of their ages is 47. What is the daughter's age today?
Correct Answer: D
Let the daughter's current age be d, so the father's current age is 47 - d. Four years ago: daughter was d - 4 and father was (47 - d) - 4 = 43 - d. Equation: 43 - d = 2(d - 4) => 43 - d = 2d - 8 => 3d = 51 => d = 17.
Q3684.If a used piece of furniture is received on Tuesday, January 5th, its restoration work will be completed no later than:
Correct Answer: C
Received Jan 5 (Tue). Examined Jan 8 (Fri). Delivered on next Monday (Jan 11). Restoration takes 1-3 days, so it is completed no later than 3 days after Jan 11, which is Thursday, Jan 14.
Q3685.To be certain that a restored piece of furniture will be shipped from the workshop on January 30th, what is the latest date by which it may be received at the workshop?
Correct Answer: A
Working backward: Shipping on Jan 30 requires dry by Jan 30. Dry 2 days after varnish => Varnish Jan 28. Varnish must be Wed => Jan 27. Complete restoration by Jan 26. Delivery on Monday => Jan 18. Exam must occur Jan 12-17. Exam 3 days after receipt => latest receipt is Jan 14.
Q3686.A major tank pipe loses 8 liters and a minor pipe loses 2 liters. What is the total oil loss?
Correct Answer: B
Total loss = 8 liters + 2 liters = 10 liters.
Q3687.What is the value of log₁₀(1000)?
Correct Answer: B
10³ = 1000, so log₁₀(1000) = 3.
Q3688.What is log₁₀(10) equal to?
Correct Answer: A
10¹ = 10, so log₁₀(10) = 1.
Q3689.Pick the odd color out: Yellow, Red, Green, Blue.
Correct Answer: C
Red, Green, and Blue are primary colors of light (RGB), whereas Yellow is a secondary color.
Q3690.Which number is different from the rest in this list: 3, 7, 11, 14, 17, 21?
Correct Answer: C
14 is the only even number in the list. All other numbers are odd.
Q3691.Which of these numbers is different from the rest: 2, 4, 20, 5?
Correct Answer: D
5 is an odd number, while 2, 4, and 20 are all even numbers.
Q3692.Which of these numbers is odd: 12, 24, 17, 18?
Correct Answer: C
17 is not divisible evenly by 2, so it is an odd number. All others are even.
Q3693.What is the value of log(1) under any base?
Correct Answer: A
Since any base raised to the power 0 is 1 (e.g. 10⁰ = 1, e⁰ = 1), log(1) is always 0.
Q3694.A father tells his son, "I was of your present age when you were born." If the father is 36 years old now, how old was the boy 5 years ago?
Correct Answer: C
Let son's present age be x. Father's age when son was born was x. Current father's age is x + x = 2x = 36 => x = 18. Five years ago, the son's age was: 18 - 5 = 13.
Q3695.Ayesha is 24 years old. She is twice as old as Benish. When she was as old as Benish, what is Benish's present age?
Correct Answer: C
Ayesha's age is 24, which is twice Benish's present age. Thus, Benish's present age is: 24 / 2 = 12 years.
Q3696.Rahima is younger than Ahmed and Azmat is elder than Ahmed. Who is the eldest?
Correct Answer: C
Ahmed is older than Rahima but younger than Azmat. This means: Azmat > Ahmed > Rahima. Therefore, Azmat is the eldest.
Q3697.What is the mantissa?
Correct Answer: B
The mantissa is the fractional or decimal part of a logarithm, whereas the characteristic is the integer part.
Q3698.If log(i) + log(j) = log(100), then the value of i × j is:
Correct Answer: C
By logarithmic properties: log(i) + log(j) = log(i * j). Therefore, log(i * j) = log(100), which implies i * j = 100.
Q3699.log 729 (base 10) is approximately equal to?
Correct Answer: A
log10(729) = log10(3^6) = 6 * log10(3) ≈ 6 * 0.47712 = 2.8627.
Q3700.log 6 (base 10) is approximately equal to?
Correct Answer: D
log10(6) = log10(2) + log10(3) ≈ 0.3010 + 0.4771 = 0.7781.