A shopkeeper observes a billing pattern. Order 1: Rs 15. Order 2: Rs 30. Order 3: Rs 60. Order 4: Rs 120. Judging by this behavior, what will Order 5 likely cost?

Answer: 240. Geometric sequence: Each number is multiplied by 2. 120 × 2 = 240.

You hand a ₹500 note to a cashier to pay for groceries worth ₹234. You ask for your change purely in ₹100 notes and ₹2 coins. It is mathematically impossible. Why?

Answer: It is not impossible. Change required = 500 - 234 = 266. You can get two ₹100 notes (=200), and thirty-three ₹2 coins (=66). Total 266. It IS perfectly possible.

In a pictograph representing the transport used by students, one 'Bus' icon represents 20 students. If a row has 4 full 'Bus' icons and exactly half of a 'Bus' icon, how many students travel by bus?

Answer: 90. 4 full icons = 4 × 20 = 80. Half icon = 20 ÷ 2 = 10. Total = 80 + 10 = 90 students.

A digital lock accepts a 4-digit code based on the pattern: square of 1, square of 2, square of 3, square of 4. However, you must write them sequentially. What is the code?

Answer: 1491. Squaring digits: 1²=1, 2²=4, 3²=9, 4²=16. The sequence is 14916. A 4-digit code would only take the first four digits: 1491. (Or maybe the question meant 1, 4, 9, 6). Let's review the options. 1, 4, 9, 1 (from 16). Correct.

You break a piggy bank and find exactly equal numbers of ₹1, ₹2, and ₹5 coins. The total value is ₹80. How many coins are physically there?

Answer: 30 coins. Let the number of EACH type be x. Value = 1x + 2x + 5x = 8x. Equation: 8x = 80 → x = 10. There are 3 types of coins, so 3 × 10 = 30 coins total.

A weather graph shows temperatures for Mon, Tue, Wed, Thu as 30, 32, 34, 36. Extrapolating this linear data, what is expected on Saturday?

Answer: 40. Pattern is +2 per day. Friday = 36 + 2 = 38. Saturday = 38 + 2 = 40.

To construct a Bar Graph representing population of 4 cities: 2.5 Million, 3 Million, 2.8 Million, 3.2 Million. Which scale on the Y-axis is the most logical to use?

Answer: 1 unit = 0.5 Million. 0.5 Million provides a clean, easily readable grid for decimals like 2.5 and 3.0. A 10M scale makes all bars look identically tiny.

A bus conductor has only 25 paise and 50 paise coins. The total value is ₹15. He has exactly 40 coins. How many 50 paise coins does he have?

Answer: 20. Let 50p coins be x, 25p coins be y. x+y=40. Value: 50x + 25y = 1500 paise. Divide by 25: 2x + y = 60. Subtract equations: (2x+y)-(x+y) = 60-40 → x = 20.

You buy a pen for ₹12.50, a pencil for ₹3.75, and an eraser for ₹2.25. If you give a ₹100 note, what is your change?

Answer: 81.50. Total spent: 12.50 + 3.75 + 2.25 = 12.50 + 6.00 = 18.50. Change: 100.00 - 18.50 = 81.50.

In tally marks, you count 14 complete bundles (with a diagonal line) and 3 loose vertical lines. What is the total frequency?

Answer: 73. One complete bundle in tally marks = 5. So 14 bundles = 14 × 5 = 70. Loose lines = 3. Total = 70 + 3 = 73.

Find the missing number: 11, 13, 17, 19, 23, 29, 31, ?

Answer: 37. The series represents consecutive prime numbers. The next prime after 31 is 37.

Convert ₹ 10.05 into paise.

Answer: 1005 paise. To convert Rupees to Paise, multiply by 100. 10.05 × 100 = 1005.

Find the next term: 1, 8, 27, 64, 125, ?

Answer: 216. These are perfect cubes: 1³, 2³, 3³, 4³, 5³. Next is 6³ = 216.

A bag contains coins of denomination ₹1, 50p, and 25p in the ratio 2:3:4. If total amount is ₹180, find number of 50p coins.

Answer: 120. Convert to rupees ratio: ₹1(2x) = 2x. 50p(3x) = 1.5x. 25p(4x) = 1x. Total value = 2x+1.5x+1x = 4.5x. Eq: 4.5x = 180 → x = 40. 50p coins = 3x = 120.

A Pie Chart represents a total of 720 students. If a slice of 120 degrees represents Science students, how many study Science?

Answer: 240. Total circle = 360 degrees. Fraction = 120/360 = 1/3. So, 1/3 of 720 = 240 students.

Find the odd one out in the pattern: 3, 5, 11, 14, 17, 21

Answer: 14. 3, 5, 11, 17 are prime numbers. Wait, 21 is not prime. Let's look at differences: 5-3=2, 11-5=6, 14-11=3. The logic of 'Odd one out' often categorizes types. All are odd numbers except 14.

A line graph shows sales dropping from ₹800 to ₹600. What is the percentage decrease?

Answer: 25%. Drop = 200. Percentage decrease = (Drop / Original) × 100 = (200 / 800) × 100 = 25%.

Pattern: 2, 5, 10, 17, 26, ? Find missing number.

Answer: 37. Differences: +3, +5, +7, +9. Next difference is +11. 26 + 11 = 37. Or logic n² + 1.

Ramesh has ₹52 in the form of ₹1 and 50p coins. If the number of 50p coins is double the ₹1 coins, how many ₹1 coins are there?

Answer: 26. Let ₹1 coins = x, 50p coins = 2x. Value: 1(x) + 0.5(2x) = 52. → x + x = 52 → 2x = 52 → x = 26.

If 'DATA' is coded as 41201 (D=4, A=1, T=20, A=1), how is 'MATH' coded?

Answer: 131208. M=13, A=1, T=20, H=8. Combine: 131208.

What is the average of data points: 10, 20, 30, 40, 50?

Answer: 30. Sum = 150. Count = 5. Avg = 150/5 = 30. (Also the exact middle of an arithmetic progression).

Identify the pattern: 2, 4, 12, 48, 240, ...

Answer: Multiply by 2, then 3, then 4.... 2 × 2 = 4; 4 × 3 = 12; 12 × 4 = 48; 48 × 5 = 240.

If ₹x is distributed among 5 people such that everyone gets ₹45 and ₹3 remains. What is x?

Answer: 228. Equation: x = (5 × 45) + 3 = 225 + 3 = 228.

A bar graph shows frequencies: A=10, B=25, C=15. What fraction of the total does B represent?

Answer: 1/2. Total = 10 + 25 + 15 = 50. Fraction for B = 25/50 = 1/2.

In Fibonacci series: 1, 1, 2, 3, 5, X, Y. Find X+Y.

Answer: 21. X = 3+5=8. Y = 5+8=13. X+Y = 8+13 = 21.

Find the 100th term in the sequence: +10, -10, +10, -10...

Answer: -10. Odd terms (1st, 3rd) are +10. Even terms (2nd, 4th) are -10. Since 100 is even, it is -10.

A boy has notes of ₹50, ₹100, and ₹500. He has exactly 1 note of one denomination, 2 of another, and 3 of another, totaling ₹1750. How many ₹500 notes does he have?

Answer: 3. Test permutations of {1, 2, 3}. To get near 1750, 500 must have the highest count. If 3 × 500 = 1500. Remaining is 250. 2 × 100 + 1 × 50 = 250. 1500+250=1750. So 3 notes of ₹500.

Identify the hidden dual series: 2, 8, 4, 16, 6, 24, ?

Answer: 8. Odd positions: 2, 4, 6... (next is 8). Even positions: 8, 16, 24... The 7th position is an odd position, so it follows 2, 4, 6 → 8.

A Pie Chart shows Rent=90°, Food=120°, Savings=60°, Misc=90°. If Savings = ₹5,000, what is the total income?

Answer: ₹ 30,000. Total circle = 360°. Savings = 60°, which is 60/360 = 1/6th of total. If 1/6th = 5000, Total = 5000 × 6 = 30,000.

Find the logic: 1²+1=2, 2²-1=3, 3²+1=10, 4²-1=15. What corresponds to 5?

Answer: 26. Pattern oscillates: +1, -1, +1, -1. For 5 it should be +1. So 5² + 1 = 26.

You hand a ₹500 note to a cashier to pay for groceries worth ₹234. You ask for your change purely in ₹100 notes and ₹2 coins. It is mathematically impossible. Why?

The change amount needs a ₹5 note or coin

Home/Rajasthan 4th Grade Exam/Mathematics/

Data, Patterns & Currency

Understand visual intelligence and daily-life math. Decode logical sequences, Indian Currency transactions, and basic Data Interpretation.

Expert Answer & Key Takeaways

Understand visual intelligence and daily-life math. Decode logical sequences, Indian Currency transactions, and basic Data Interpretation.

1. Finding Number Patterns

A sequence follows a hidden logical rule.

Arithmetic: Constant gap (+2, +4, +6...).
Geometric: Constant multiplier (×2, ×3...).
Squares/Cubes: The numbers map to n² or n³ (1, 4, 9, 16...).
Fibonacci-style: Sum of previous terms (1, 1, 2, 3, 5, 8...).

Example:

Q: Find the next number in: 2, 6, 12, 20, 30, ...

Solution: Differences are: +4, +6, +8, +10. Next difference will be +12. 30 + 12 = 42.

2. The Indian Currency System

Understanding monetary conversions.

1 Rupee (₹) = 100 Paise.
If you have identical coins forming a total value, Total Value = (Coin Value) × (Number of Coins).
Denominations often exist in specific ratios (e.g., ₹1, 50p, 25p in ratio 2:3:4).

Example:

Q: How many 50 Paise coins make ₹12?

Solution: Since ₹1 = two 50p coins. ₹12 = 12 × 2 = 24 coins.

3. Introduction to Data Handling

Visual data representations.

Pictograph: Images represent frequencies. A key is crucial (1 icon = 10 cars).
Tally Marks: Groups of 5 (four vertical lines, one diagonal slash ||||̶).
Bar Graph: Rectangular bars where the HEIGHT represents the frequency.

Example:

Q: If one smiley face emoji represents 5 students, how many emojis are needed to represent 40 students in a pictograph?

Solution: 40 ÷ 5 = 8 emojis.

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Data, Patterns & Currency

Expert Answer & Key Takeaways

1. Finding Number Patterns

2. The Indian Currency System

3. Introduction to Data Handling

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