General Mathematics & Basic Arithmetic — Part 5 MCQs with Explanations

Let's find the pattern in B, E, J, Q, Z, ? Look at alphabet positions: B = 2 E = 5 J = 10 Q = 17 Z = 26 Now check the differences: 5 - 2 = +3 10 - 5 = +5 17 - 10 = +7 26 - 17 = +9 The differences are +3, +5, +7, +9... odd numbers increasing by 2 Next difference should be +11 26 + 11 = 37 Alphabet wraps around after 26. So 37 - 26 = 11 11th letter = K

Let's check the alphabet positions: B = 2 E = 5 I = 9 N = 14 T = 20 ? = Differences: 5 - 2 = +3 9 - 5 = +4 14 - 9 = +5 20 - 14 = +6 Pattern: +3, +4, +5, +6... so next should be +7 20 + 7 = 27 Alphabet wraps after 26, so 27 - 26 = 1 1st letter = A

A fair coin has 2 possible outcomes: Head and Tail. Probability of getting a Head = 1/2 .

0.88 + 0.07 = 0.95 0.95 + 0.4 = 1.35

For successive percentage increases you use: Total % increase = A + B + (A × B / 100) So: = 15 + 40 + (15 × 40 / 100) = 15 + 40 + 6 = 61%

2² + 3² = 13 4² + 1² = 17 3² + 4² = 25

The person moves 15 km north, then 10 km west, then 15 km south. The north and south movements cancel out, leaving 10 km west .

2.5% Zakat on Rs. 100,000 is Rs. 2,500. Am Calculation: 100000 x 2.5 / 100 = 2500

Let daughter age = x Father age = 5 times daughter age = 5x Sum of ages = 50 x + 5x = 50 6x = 50 x = 50 / 6 = 8.33 So daughter = 8.33 years Father = 5 x 8.33 = 41.67 years

Use the set formula: Students who study CS or Math = CS + Math - Both = 55 + 50 - 10 = 95 students Students who study neither = Total students - Students who study CS or Math = 100 - 95 = 5 students

Difference = 40% − 25% = 15%. 15% of the number = 45 → Number = 45 ÷ 0.15 = 300 .

Formula: Amount = Principal _ (1 + r/100)^n Given: Amount = 1.44 _ Principal n = 2 years Put values: 1.44 _ P = P _ (1 + r/100)^2 Cancel P from both sides: (1 + r/100)^2 = 1.44 Take square root both sides: 1 + r/100 = 1.2 r/100 = 1.2 - 1 = 0.2 r = 0.2 * 100 = 20

After a 25% discount, the selling price is 75% of the original price. Original price = 150 ÷ 0.75 = Rs. 200 .

Absolute value represents the distance from zero. The distance of −2 from 0 is 2 .

For objects moving in opposite directions, relative speed = sum of their speeds. 50 + 100 = 150 km / hour .

Father’s current age = 72 − 6 = 66 years. Son’s current age = 66 ÷ 6 = 11 years .

The HCF of 35 and 63 is 7. Divide both terms by 7: 35 ÷ 7 : 63 ÷ 7 = 5 : 9.

HCF of 20 and 6 = 2. Divide both by 2: 20 ÷ 2 : 6 ÷ 2 = 10 : 3. Last verified 02-09-2026

|3| = 3, |−3| = 3, and 2² = 4. |−3²| = |−9| = 9 → 3 − 3 − 4 − 9 = −13 .

Given: Father's age = 5 times daughter's age = 5x years Sum of ages = 48 years So, x + 5x = 48 6x = 48 x = 48 / 6 x = 8 Daughter's current age = 8 years

The cosine function is defined for every real value of θ . Therefore, its domain is all real numbers .

100% means the whole amount. So, 100% of 200 = (100/100) × 200 = 200 .

When we divide numbers with same base we subtract the powers. First 2^40 / 2^19 gives 2^(40-19) = 2^21. Then 2^21 / 2^13 gives 2^(21-13) = 2^8 .

Mode = the number that appears most often in the data. Given data: 40, 45, 45, 50, 60 Count: 40 appears 1 time 45 appears 2 times 50 appears 1 time 60 appears 1 time 45 appears the most.

3+1 = 4 4+3 = 7 7+1 = 8 8+3 = 11 11+1 = 12 12+3 = 15

Ratio of Math : Physics : Chemistry = 3 : 4 : 5 Total parts = 3 + 4 + 5 = 12 parts Total marks = 84,000 Value of 1 part = 84,000 / 12 = 7,000 Marks in Physics = 4 parts = 4 * 7,000 = 28,000

Sum: 30 + 15 = 45 Difference: 30 − 15 = 15

Solve: (2x + 3) / (x - 1) = 3 2x + 3 = 3(x - 1) 2x + 3 = 3x - 3 3 + 3 = 3x - 2x x = 6

Formula: (Part / Total) _ 100 Here Part = 80, Total = 120 Percentage = (80 / 120) _ 100 = (2 / 3) * 100 = 66.666...%

Let the younger brother's present age = x years Then older brother's present age = x + 9 years After 5 years: Younger brother's age = x + 5 Older brother's age = x + 9 + 5 = x + 14 Sum after 5 years = 49 So, (x + 5) + (x + 14) = 49 2x + 19 = 49 2x = 49 - 19 2x = 30 x = 15 Younger brother = 15 years Older brother = x + 9 = 15 + 9 = 24 years

Let the son's age = x years Mother's age = 5 times son's age = 5x years Sum of their ages = 60 years So, x + 5x = 60 6x = 60 x = 60 / 6 x = 10 Son's present age = 10 years

Discount = List Price − Sale Price = Rs. 1,500 − Rs. 1,350 = Rs. 150 Therefore, the discount is Rs. 150 .

A is the mother of B. B is married to C, so C is B’s husband. Therefore, C is the son-in-law of A.

The pattern is: ×2 + 1 6 × 2 + 1 = 13 13 × 2 + 1 = 27 27 × 2 + 1 = 55 55 × 2 + 1 = 111

Total balls = 1 + 2 + 3 = 6 Red balls = 3 Probability = 3/6 = 1/2 Verified & Updated

The identical pair must contain the same letters and numbers in the same order. XYZ987 matches exactly with XYZ987 .

The identical number must have exactly the same digits in the same order. 70893246864648 matches the given number exactly.

An identical pair must match exactly, including all numbers and letters. 491788865 Bangkok is exactly the same as the given code and name.

An identical pair must match exactly, including letters, numbers, and capitalization. K9V88856 is exactly the same as the given code.

8096702 8567304 9056502 Compare: 8096702 vs 9056502 → Both end in 502, and first digit is 9 vs 8, but there's a closer match than with others. 8096702 9056502 → The '6' is in the same position. → '502' at the end is identical. Last updated by NA on 15-09-2026