Quantitative Reasoning-I 9424 Code Solved Quiz – 100% Accurate
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9424
QUANTITATIVE REASONING-I Solved Quiz1. If a pizza is divided into 8 slices and 3 slices are eaten, what fraction represents the remaining pizza?
a. 8/3
b. 1/2
c. 5/8
d. 3/8
Explanation: 8 total slices – 3 eaten = 5 remaining. The fraction is 5/8.
2. A person invests 10,000 PKR in a newly constructed water park ride. It is estimated that there is a 10% chance that no one will visit the water park. What is the likelihood that the investment is successful?
a. 90%
b. 80%
c. 85%
d. 95%
Explanation: 100% – 10% failure chance = 90% success probability.
3. Who is credited with the first proof of the Pythagorean theorem?
a. Thales
b. Archimedes
c. Pythagoras
d. Euclid
Explanation: Pythagoras (or his followers) are traditionally credited with the first
proof, though the theorem was known earlier.
4. The set of all real numbers that are within 2 units from 0 can be defined using the absolute value inequality |u| __________.
a. ≥ 2
b. < 2
c. ≤ 2
d. > 2
Explanation: |u| ≤ 2 includes all numbers between -2 and 2, inclusive.
5. What is Babylonian mathematics primarily known for?
a. The invention of the abacus
b. The development of calculus
c. The introduction of a sexagesimal number system
d. The creation of the first mathematical texts
Explanation: Babylonians pioneered the base-60 (sexagesimal) system used in time and
angle measurements.
6. If all cats are animals and some animals are dogs, which of the following statements must be true?
a. Some cats are dogs
b. Some animals are not cats
c. All cats are dogs
d. All dogs are cats
Explanation: Since some animals are dogs and not all animals are cats, “some animals
are not cats” must be true.
7. For the inequality |u – 3| < 2, what is the interval notation for the solution?
a. (0, 6)
b. (-∞, 1) ∪ (5, ∞)
c. (1, 5)
d. [1, 5]
Explanation: |u – 3| < 2 translates to 1 < u < 5, which is (1,5) in interval
notation.
8. If the circumference of a circle is 44 meters, what is the radius of the circle? (Use π = 22/7)
a. 21 meters
b. 14 meters
c. 7 meters
d. 5 meters
Explanation: C = 2πr → 44 = 2×(22/7)×r → r = 7 meters.
9. What does the notation {a, b, c, … , z} represent?
a. A set containing only the letters a, b, and c
b. A set with a finite number of elements
c. A set with an infinite number of elements
d. A set containing all lowercase English letters
Explanation: The ellipsis (…) indicates the pattern continues through all
letters to z.
10. An angle is formed by:
a. Two rays that share a common endpoint
b. Two lines that do not intersect
c. Two points
d. A point in space
Explanation: An angle requires two rays (sides) with a common vertex
(endpoint).
11. What is an algebraic equation?
a. A comparison between two expressions
b. A statement with no solution
c. An expression that cannot be simplified
d. A mathematical statement that shows two expressions are equal
Explanation: An equation always contains an equals sign (=) showing
equality between expressions.
12. Which of the following is true for the inequality 6u + 3 ≤ 21?
a. u = 4
b. u = 0
c. u = 3
d. u = 1
Explanation: Solving gives u ≤ 3, making u=3 the boundary case.
13. Which of the following is the contrapositive of the statement “If p, then q”?
a. If not q, then not p
b. If not p, then not q
c. If q, then p
d. If p, then not q
Explanation: The contrapositive negates and reverses the original statement
while maintaining logical equivalence.
14. How does multiplying both sides of an inequality by a negative number affect the inequality sign?
a. It reverses the sign
b. It changes the sign to ≤
c. It does not affect the sign
d. It makes the sign equal
Explanation: Multiplying/dividing inequalities by negatives requires sign
reversal (e.g., < becomes>).
15. What is the solution set for the inequality 2u < 7u + 10?
a. {u | u ≤ -2}
b. {u | u ≥ -2}
c. {u | u < -2}
d. {u | u > -2}
Explanation: Solving gives u > -2 (divide by -5 and reverse sign).
16. What is the result of applying double negation to a proposition?
a. The proposition remains the same
b. The proposition becomes false
c. The proposition becomes true
d. The proposition’s truth value is undefined
Explanation: In classical logic, ¬(¬p) ≡ p (double negation preserves the
original truth value).
17. A boat takes three hours to travel downstream and five hours to travel upstream. If the speed of the current is x and the speed of the boat in still water is S, how long would it take the boat to travel downstream in still water?
a. 4 hours
b. 2 hours
c. 3 hours
d. 3.75 hours
Explanation: Solving the system: 3(S+x) = 5(S-x) yields x=S/4. Time =
distance/(S+x) = 3.75 hours.
18. If a product is sold for Rs. 800 and the shopkeeper gains a 25% profit, what is the cost price of the product?
a. Rs. 640
b. Rs. 500
c. Rs. 600
d. Rs. 700
Explanation: CP = SP/(1+profit%) = 800/1.25 = Rs. 640.
19. How is Simple Interest calculated?
a. I = P₀ × i × T
b. I = P₀ × i
c. I = P₀ × (1 + i)^T − P₀
d. I = P₀ − (1 + i)^T
Explanation: Simple Interest formula: Principal × interest rate × time
period.
20. What type of number can be expressed as a ratio of two integers where the denominator is not zero?
a. Real number
b. Complex number
c. Rational number
d. Irrational number
Explanation: Rational numbers are defined as a/b where a,b are integers and
b≠0.
21. Which geometric shape is typically used for domes and rotundas in architectural designs?
a. Pyramid
b. Sphere
c. Cube
d. Cylinder
Explanation: Hemispheres (half-spheres) provide structural strength and
aesthetic appeal for domes.
22. What geometric shape is often used to create modern, minimalist structures in architecture?
a. Pyramid
b. Sphere
c. Cylinder
d. Cube
Explanation: Cubes are favored for their clean lines and simplicity in
minimalist design.
23. What is a defining feature of a quadrilateral known as a rectangle?
a. Only two pairs of parallel sides
b. Four right angles and opposite sides are equal in length
c. Four equal sides and four right angles
d. Four sides of unequal length
Explanation: Rectangles specifically require 90° angles and equal opposite
sides (squares are special rectangles).
24. Four shirts, four pairs of pants, and two hats cost $560. Nine shirts, nine pairs of pants, and six hats cost $1,290. What is the cost of one shirt, one pair of pants, and one hat?
a. $150
b. $170
c. $190
d. $130
Explanation: Solving the system gives s+p = $130 and h = $20 → Total =
$150.
25. Which type of interest is calculated on both the principal amount and the interest that has been earned over time?
a. Flat interest
b. Compound interest
c. Simple interest
d. Fixed interest
Explanation: Compound interest includes “interest on interest”
calculations.
26. What is the sum of the interior angles of a regular hexagon?
a. 540°
b. 720°
c. 900°
d. 360°
Explanation: Formula: (n-2)×180° where n=6 sides → 4×180° = 720°.
27. In probability theory, what does P(A∪B) represent when events A and B are not mutually exclusive?
a. P(A) + P(B)
b. P(A) + P(B) – P(A∩B)
c. P(A) × P(B)
d. P(A) – P(B)
Explanation: General addition rule accounts for overlapping probabilities.
28. Which trigonometric identity is correct?
a. sin²θ + cos²θ = 0
b. sin²θ + cos²θ = 1
c. tanθ = sinθ × cosθ
d. secθ = 1/cos²θ
Explanation: This is the fundamental Pythagorean trigonometric identity.
29. What is the derivative of f(x) = 3x⁴ – 2x² + 5 with respect to x?
a. 12x³ – 4x
b. 12x³ – 4x
c. 3x³ – 2x
d. 12x⁴ – 4x²
Explanation: Applying power rule: d/dx(xⁿ) = nxⁿ⁻¹ to each term.
30. In set theory, what does A ∩ B represent?
a. Union of sets A and B
b. Intersection of sets A and B
c. Complement of set A
d. Difference between sets A and B
Explanation: ∩ denotes elements common to both sets (intersection).
