General Mathematics & Basic Arithmetic — Part 7 MCQs with Explanations

To determine the relationship, we can break down the family structure: B and D are sisters: The problem states D is B's sister. A is B's daughter : This makes B A's mother. E is D's son: This makes D E's mother. A and E's relationship: Since A's mother (B) and E's mother (D) are sisters, A and E are the children of siblings. Therefore, A is the cousin of E. Question updated 03-March-2026

Given : a:b = 8:9, b:c = 6:5 Make b equal in both ratios. LCM of 9 and 6 = 18. a:b=8:9=16:18 b:c=6:5=18:15 So, a:b:c = 16:18:15

Let r be the radius of a circle . Then, the area of the circle = πr^ 2 If radii are doubled, than radii become 2r. Now, area of circle =π(2r) 2 =4π. Therefore, the area of the circle is increased by 4 times.

Step 1: Assistant A 24 records in 18 minutes Rate = 24 / 18 = 1.333 records per minute In 40 minutes = 1.333 x 40 = 53.33 Exclude fraction = 53 complete records Step 2: Assistant C 20 records in 16 minutes Rate = 20 / 16 = 1.25 records per minute In 40 minutes = 1.25 x 40 = 50 Exclude fraction = 50 complete records Step 3: Total 53 + 50 = 103 complete records Answer: 103 records, being 53 and 50 with fractions disregarded.

Start: 2,750 cards Step 1: Issue 28% 28% of 2,750 = 770 cards issued Left = 2,750 − 770 = 1,980 cards Step 2: Transfer 16% of the remainder 16% of 1,980 = 316.8 cards transferred Left = 1,980 − 316.8 = 1,663.2 cards Step 3: Get back 25% of what was transferred 25% of 316.8 = 79.2 cards returned Final left = 1,663.2 + 79.2 = 1,742.4 cards If we round down: 1,742 cards So the exact answer is 1,742.4 cards, being 1,980 − 316.8 + 79.2

Let correct answers = x and wrong answers = 34 − x. Score equation: 2.5x − 1(34 − x) = 67 Therefore: 3.5x − 34 = 67 → 3.5x = 101 → x = 28.857 Since the number of correct answers must be a whole number, the stated score of 67 is impossible.

Work ratio = Saba : Nida = 6 : 5 Time is inversely proportional to work rate. Nida's time = 90 × 6 ÷ 5 Nida's time = 108 minutes.

Given: Speed = 100 km/hour Distance = 25 km Formula: Time = Distance/ Speed Time = 25/100 = 0.25 hour text{Time}=frac{25}{100}=0.25text{ hour} Convert hours into minutes: 0.25 × 60 = 15 minutes

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 Highest Common Factor = 12

The square root of 144 is: √144 = 12 Since 12 × 12 = 144. So, the correct answer is: 12

Mean = Sum of values ÷ Number of values = (10 + 20 + 30) ÷ 3 = 60 ÷ 3 = 20. Last updated by NA on 09-09-2026

A completes the work in 12 days. So, A's 1-day work: 1/12 B completes the work in 24 days. So, B's 1-day work: 1/24 Together, their 1-day work: 1/12 + 1/24 LCM of 12 and 24 = 24: 2/24 + 1/24 = 3/24 = 1/8 Therefore, they will complete the whole work in: 8 days * Last updated by NA on 09-09-2026 ​

Given : Sum of 14 values = 168 Number of values = 14 Formula : Mean = Sum ÷ Number of values Mean = 168 ÷ 14 = 12

NOTE: If the question only says “ all four sides are equal,” then the correct answer is a rhombus . If the question says “all four sides are equal, and all four angles are right angles (90° ),” then th e correct answer is Square . Example: Diamond shape ◇ = Rhombus Box shape □ = Square Last updated by NS on 06-09-2026 ​

Step 1: Time taken for one lap First car: 5/50=1/10 hour=6 minutes Second car: 5/80=1/16 hour=3.75 minutes Step 2: Find when they meet at the starting point together We need the LCM of 6 minutes and 3.75 minutes. Convert to seconds: • 6 minutes = 360 seconds • 3.75 minutes = 225 seconds LCM (360, 225) = 1800 seconds = 30 minutes So, both cars will return to the starting point together after 30 minutes. Step 3: Add to starting time 9:00 a.m. + 30 minutes = 9:30 a.m. * Last updated by NS on 06-09-2026 ​

Formula: (Part / Whole) x 100 Here Part = 1.25 and Whole = 80 1.25 / 80 = 0.015625 0.015625 x 100 = 1.5625

Each letter is shifted +1: F→G, I→J, A→B. Therefore, D→E, E→F, F→G .

When a dice is rolled, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. The numbers greater than 4 are 5 and 6, which are 2 outcomes. So, the probability of getting a number greater than 4 is: Probability = Number of favorable outcomes / Total number of outcomes = 2/6 = 1/3

Baby contains the letter B. Boy also contains the letter B. Children does not contain the letter B.

Seneema is different from the others because it is a place to watch movies, While the rest are wild animals . Lion: A large wild cat that lives in groups called prides. Tiger: A large wild cat known for its orange coat and dark stripes. Panther: A large wild cat with a black or dark coat.

Acre does not belong to the list, because it is a unit of area , Whereas inch, foot, and yard are units of length . The other options exclusively measure one-dimensional distance. Last updated by NA 26-08-2026

n = 5 questions k = 2 correct p = 1/5 = 0.2 probability correct q = 4/5 = 0.8 probability wrong Formula: P = C(n,k) _ p^k _ q^(n-k) P = C(5,2) _ (0.2)^2 _ (0.8)^3 P = 10 _ 0.04 _ 0.512 P = 0.2048 So probability of getting exactly 2 correct = 0.2048 = 128/625 (20.48%)

The pattern is: 30 → 18 (−12) 18 → 15 (−3) 15 → 7 (−8) 7 → 4 (−3) The subtraction alternates with a larger number and −3: −12, −3, −8, −3 So, the next number is: 7 − 3 = 4

Let the daughter's present age = x. Father's present age = 3x After 12 years: Father's age = 3x + 12 Daughter's age = x + 12 According to the question: 3x + 12 = 2(x + 12) 3x + 12 = 2x + 24 x = 12 So, the daughter's present age is 12 years .

Total bags = 5 + 3 = 8 Red bags = 5 Probability of selecting a red bag = 5/8

32 = 2⁵ So, 2^(x+3) = 2⁵ Therefore, x + 3 = 5 x = 2

The pattern is: 3 × 2 + 2 = 8 8 × 3 + 3 = 27 27 × 4 + 4 = 112 112 × 5 + 5 = 565 565 × 6 + 6 = 3396

The code changes each letter to the next letter in the English alphabet: F → G I → J A → B So, E → F X → Y A → B M → N Therefore, EXAM = FYBN .

Given: G is at the extreme right end → G = Position 7 F sits exactly between C and G → C – F – G Therefore: C = Position 5, F = Position 6, G = Position 7 A sits third to the left of D → A = Position 1, D = Position 4 B sits immediately to the right of A → B = Position 2 E is not at either end → E = Position 3 Final Arrangement: Position 1 2 3 4 5 6 7 Student A B E D C F G

Initial ratio A : B = 3 : 4 Let A = 3x, B = 4x A is increased by 20% New A = 3x + 20% of 3x = 3x + 0.6x = 3.6x B is increased by 10% New B = 4x + 10% of 4x = 4x + 0.4x = 4.4x New ratio = 3.6x : 4.4x = 36 : 44 Divide by 4: 36 / 4 : 44 / 4 = 9 : 11