General Mathematics & Basic Arithmetic — Part 2 MCQs with Explanations

2/5 of Total = 1,400 Total = 1,400 x 5/2 Total = 700 x 5 = 3,500

11/12 is closest to 1 4/5 = 0.80 (0.20 away from 1) 5/6 = 0.833 (0.166 away) 7/8 = 0.875 (0.125 away) 11/12 = 0.916 (only 0.083 away) - closest

Formula: Perimeter = 2 x (Length + Width) = 2 x (10 + 5) = 2 x 15 = 30 cm

2 1/6 = 13/6 1 2/3 = 5/3 = 10/6 13/6 - 10/6 = 3/6 = 1/2

15% of 2000 = 2000 x 15/100 = 2000 x 0.15 = 300

To convert a fraction to a percentage, you can divide the numerator (3) by the denominator (5) and then multiply by 100: (3 ÷ 5) x 100 = 0.6 x 100 = 60% So, 3/5 is equal to 60% .

Two angles are called supplementary when their measures add up to 180 degrees . Two angles are called complementary when their measures add up to 90 degrees .

35 + 13 = 48 48 + 15 = 63 63 + 17 = 80 80 + 19 = 99 Rule: Add consecutive odd numbers: 13, 15, 17, 19.

9^ 6 = 531441 =531441 +7/8 ​ = 531441.875

Logic: +4 B = 2nd letter F = 6th letter (2+4) J = 10th letter (6+4) N = 14th letter (10+4) Next = 14+4 = 18th letter = R

Days repeat every 7 days. Divide 25 by 7: 25 ÷ 7 = 3 weeks and 4 days remaining. 3 weeks later, it will still be Wednesday. Now add the 4 remaining days to Wednesday: Wednesday + 1 = Thursday Wednesday + 2 = Friday Wednesday + 3 = Saturday Wednesday + 4 = Sunday So after 25 days it will be Sunday.

N | O (Start) | | 6 km | S ----------> E 4 km (End Point) From the Start Point O, the End Point is in between South and East . Therefore, the direction is South-East .

Pattern is +10, +15, +20, +25 10 + 10 = 20 20 + 15 = 35 35 + 20 = 55 55 + 25 = 80

Logic: 1. All birds have wings 2. A sparrow is a bird 3. Therefore, a sparrow has Wings.

Apple is the odd one out. Circle, Square, Triangle are all geometric shapes. Apple is a fruit .

Pattern is +1 for each letter: C +1 = D A +1 = B T +1 = U So for DOG: D +1 = E O +1 = P G +1 = H

Pattern: x2 each time 5 x 2 = 10 10 x 2 = 20 20 x 2 = 40 40 x 2 = 80

Area = side x side = 14 x 14 = 196 cm²

Discount = 20% of 2500 = 500 Price = 2500-500 = Rs. 2000

4x = 16+8 = 24 x = 24/4 = 6

Average = (25+35+45)/3 = 105/3 = 35

0.75 is a terminating decimal, which can be written as 75/100 . Simplifying 75/100 gives 3/4 , making it a rational number.

6 clerks draft 24 letters in 3 hours. Step 1: Find the work rate. 6 clerks draft 24 div 3 = 8 24 ÷ 3 = 8 letters per hour. Step 2: Find the rate of 8 clerks. 8 ×8/ 6 ​ = 32/3 ​ 8 clerks draft 32/3 ​ letters per hour. Step 3: Calculate the time for 32 letters. 32/32/3 =3

Step 1: Find the total marks. Total = Average × Number of students 40 times 5 = 200 40 × 5 = 200 Step 2: Subtract 60 marks. 200 - 60 = 140 200 − 60 = 140 Step 3: Calculate the new average. 140/4 =35

Given: A:B = 3:4 B:C = 8:9 Step 1: Make the value of B equal. LCM of 4 and 8 = 8 Multiply A:B by 2: A:B = 6:8 B:C = 8:9 Step 2: Combine the ratios. A:B:C = 6:8:9

15% of 15% of 32,000 Step 1: Find 15% of 32,000. 15/100 ×32000= 4800 Step 2: Find 15% of 4,800. 15/100 ×4800= 720

If the side is 2.5 cm: Area = side × side = 2.5 × 2.5 = 6.25 cm²

Given: 100 cats eat 100 mice in 100 days. Step 1: 100 cats eat 100 mice in 100 days. Step 2: 1 cat eats 1 mouse in 100 days. Step 3: 4 cats eat 4 mice in the same 100 days.

If 20% of a = 80% of b Then: 0.2 x a = 0.8 x b a = 0.8 / 0.2 x b a = 4b So: a + b = 4b + b = 5b And in terms of a: a + b = a + a/4 = 5a/4 = 1.25a

Diameter = 2 x Radius Diameter = 2 x 7 = 14 cm

LCM of 8 and 12 is 24. 8 = 2 x 2 x 2 12 = 2 x 2 x 3 LCM = 2 x 2 x 2 x 3 = 24

25² = 625 25 x 25 = 625

7x = 91 x = 91 / 7 x = 13

35% means 35 out of 100 So, 35/100 x 400 = 140

LCM of 8, 10, 20, and 30 = 120. Required number = LCM + remainder = 120 + 5 = 125

Given: 4x − 2y = 10 ...(1) 2x + y = 5 ...(2) Multiply equation (2) by 2: 4x + 2y = 10 ...(3) Add equations (1) and (3): 8x = 20 x = 20 ÷ 8 x = 2.5

Given: Increment in number = 20% of the number Decrement in number = 20% of the new number Concept used: Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100 Calculation: Let the original number be 100 When the number is increased by 20% New Number = 100 + 20% of 100 ⇒ 100 + 20 ⇒ 120 Now, the number is decreased by 20% Final number = New number – 20% of new number ⇒ 120 – 20% of 120 ⇒ 120 – 24 ⇒ 96 ∴ Net Decrease in percentage = { (100 – 96) / 100} × 100 ⇒ {4/100} × 100 ⇒ 4% ∴ The net decrease percentage is 4%.

Given: Side of square = 2.5 cm Formula: Perimeter=4×Side Calculation: =4×2.5 =10 cm

2 + 3 = 5 5 + 7 = 12 12 + 11 = 23 23 + 15 = 38 38 + 19 = 57 57 + 23 = 80

(16 ÷ 80) × 100 = 20% It shows that 16 is 20% of 80.