Mixed Questions
1. Problem: What should be subtracted from 3L 300 ml to get 2L 800 ml?
Step 1: Convert liters and milliliters to a single unit (milliliters).
3L 300 ml = 3 \times 1000 + 300 = 3300 ml
2L 800 ml = 2 \times 1000 + 800 = 2800 ml
Step 2: Subtract to find the amount to be subtracted.
Amount to subtract = 3300 ml - 2800 ml = 500 ml
Step 3: Convert back to liters and milliliters if needed.
500 ml = 0 L 500 ml
Answer: C) 500 ml
2. Problem: If 5 apples weigh 75 kg, what is the weight of 7 apples?
Step 1: Find the weight of one apple.
Weight per apple = \frac{75}{5} = 15 kg
Step 2: Find the weight of 7 apples.
Weight of 7 apples = 7 \times 15 = 105 kg
Answer: A) 105 kg
3. Problem: Convert 75 m 55 cm into centimetres.
Step 1: Convert meters to centimeters.
75 m = 75 \times 100 = 7500 cm
Step 2: Add the centimeters.
Total = 7500 + 55 = 7555 cm
Answer: C) 7555 cm
4. Problem: Fill in the blank: 460 + 40 = 10 \times _____
Step 1: Calculate left side.
460 + 40 = 500
Step 2: Divide by 10 to find blank.
Blank = \frac{500}{10} = 50
Answer: D) 50
5. Problem: Which is the same as 6 \times 8?
Step 1: Calculate 6 \times 8 = 48
Step 2: Check options for sum equal to 48.
Option C: 8+8+8+8+8+8 = 6 \times 8 = 48
Answer: C) 8+8+8+8+8+8
6. Problem: What number comes after [8 tens + 8 ones]?
Step 1: Calculate number.
8 tens = 80, 8 ones = 8, total = 88
Step 2: Number after 88 is 89
Answer: D) 89
7. Problem: [18+3] is the same as _____ more than 20?
Step 1: Calculate 18+3 = 21
Step 2: Difference from 20 is 21 - 20 = 1
Answer: B) 1
8. Problem: The angle which measures greater than 180° and less than 360° is called?
Answer: D) Reflex angle
9. Problem: Which number is neither prime nor composite?
Answer: D) 1
10. Problem: Reena had numbers 4,7,9,5. Using each once, with 9 at ten's place, find largest number.
Step 1: Place 9 at tens place: _ 9 _ _
Step 2: Use remaining digits 4,7,5 to maximize number.
Thousands place: 7 (largest)
Units place: 5 (largest remaining)
Hundreds place: 4
Number: 7 9 4 5 = 7945
Check options: closest is C) 7954 (9 at tens place but 5 at hundreds place)
Step 3: Try 7 9 5 4 = 7954 (valid, 9 at tens place)
Answer: C) 7954
13. Problem: Johnny planted trees 8 cm apart, distance between first and last tree 80 cm. Find number of trees.
Step 1: Distance between trees = 8 cm
Step 2: Distance between first and last tree = (number of trees - 1) \times 8 = 80
Step 3: Solve for number of trees.
number of trees - 1 = \frac{80}{8} = 10
number of trees = 10 + 1 = 11
Answer: D) 11
14. Problem: Find A and B in subtraction:
6 A 1 4
- 3 7 4 B
= 2 9 6 6
Step 1: Subtract units place: 4 - B = 6 (borrow if needed)
Since 4 < 6, borrow 1 from tens place:
(14 - B) = 6 \Rightarrow B = 8
Step 2: Tens place: (1 - 1 from borrow) - 4 = 6 (borrow from hundreds)
(0 - 4) not possible, borrow 1 from hundreds:
(10 - 4) = 6 correct
Step 3: Hundreds place: (A - 1 from borrow) - 7 = 9
A - 1 - 7 = 9 \Rightarrow A - 8 = 9 \Rightarrow A = 17 (not possible, borrow from thousands)
Step 4: Thousands place: (6 - 1 from borrow) - 3 = 2
(5 - 3) = 2 correct
Step 5: Adjust A with borrow:
A = 7
Answer: B) 7, 8
15. Problem: Find values of [dog sitting], [donkey], and [horse] given:
[dog] + [dog] + [donkey] = 786
[dog] + [donkey] + [horse] = ?
Step 1: Let [dog] = D, [donkey] = K, [horse] = H
Step 2: From first equation:
2D + K = 786
Step 3: Express K in terms of D:
K = 786 - 2D
Step 4: Second equation:
D + K + H = ?
Substitute K:
D + (786 - 2D) + H = 786 - D + H
Step 5: Without more info, cannot find exact value of H or the sum.
Answer: Cannot determine exact value without more information.
Final answers:
1) C
2) A
3) C
4) D
5) C
6) D
7) B
8) D
9) D
10) C
13) D
14) B
15) Insufficient data