Quiz CHALLENGE RS Aggarwal Maths Class - 4th ( S. CHAND School Book )

 Quiz CHALLENGE RS Aggarwal Maths Class - 4th ( S. CHAND School Book )

Here are the solutions to each question:  

Page 1:

1. Find the difference between the largest and the smallest 5-digit odd numbers using the digits 7, 4, 9, 2, and 6.

   • Largest odd number: 97641
   • Smallest odd number: 12467
   • Difference: 97641 - 12467 = 85174
   • None of the options match exactly, so there might be an error in the given choices.

2. Komal works for 6 days in a week, 6 hours 15 minutes daily. How long does she work in a week?

   • $6 \times 6.25 = 37.5$ hours
   • Answer: (b) 37 hours 30 minutes

3. A factory produces 18 TV units each day. How many in 6 weeks?

   • $18 \times 42 = 756$
   • Answer: (b) 756

4. Which shape has the maximum number of lines of symmetry?

   • Equilateral triangle has 3, square has 4.
   • Answer: (c) Square

5. Multiply the number of months having 31 days with the number of months having 30 days.

   • There are 7 months with 31 days and 4 months with 30 days
   • $7 \times 4 = 28$
   • Answer: (a) 28

6. Find the 20th term of the sequence:

   • The pattern is: $1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6...$
   • The number n appears n times
   • The 20th term falls in the group of 6’s
   • Answer: (b) 6

7. Find the missing number in the pattern.

   • The pattern suggests summation of numbers in a structured way.
   • The missing number is 87.
   • Answer: (c) 87

8. How many chords are in the given circle diagram?

   • The diagram has 6 chords.
   • Answer: (c) 6

9. How many letters of the English alphabet have more than one line of symmetry?

• Letters: A, H, I, M, O, T, U, V, W, X, Y
• Those with more than one: A, H, I, O, X
• Answer: (b) 5

Page 2

10. Anu multiplies the 5th multiple of 5 by the 4th multiple of 4.

• $(5\times 5)\times (4\times 4)=25\times 16=400$
• Answer: (b) 400

11. Number of ways to go from A to C via B.

• $3\times 8=24$
• Answer: (d) 24

12. Digits that remain in order in 321465987.

• Only 2 digits remain in order.
• Answer: (b) Two

13. How many numbers between 50 and 100 are multiples of 6?

• $\{54,60,66,72,78,84,90,96\}$
• 8 numbers
• Answer: (b) 8

14. Numbers from 1 to 100 that are multiples of both 3 and 4.

• $\text{LCM}(3,4)=12$
• Multiples of 12: $\{12,24,36,48,60,72,84,96\}$
• 8 numbers
• Answer: (a) 8

15. How many 1/8 are in 3 1/2?

• $3\frac{1}{2}=\frac{7}{2}$
• $\frac{7}{2}÷\frac{1}{8}=7\times 4=28$
• Answer: (c) 28

16. Cutting corners of a square - perimeter and area.

• Perimeter increases, area decreases.
• Answer: (b) Perimeter of X > Perimeter of Y, Area of X > Area of Y

17. Figure with a line of symmetry.

• The correct figure has symmetry (option b).
• Answer: (b)

18. Difference between place value of tens digit of greatest number and face value of ones digit of smallest number using 7, 2, 3, 8, 4.

• Greatest number: 87432 (Tens digit = 3, place value = 30)
• Smallest number: 23478 (Ones digit = 8, face value = 8)
• Difference = 30 - 8 = 22
• Answer: (c) 22

Page 3

19. Find the perimeter of the given figure.

• The given figure is a step-like shape with unit squares.
• Counting all the external sides, the perimeter = 44 cm.
• Answer: (b) 44 cm

20. The time 3 hours 50 minutes after 11:40 a.m.

• $11:40 + 3:50 = 3:30 \text{ p.m.}$
• Answer: (c) 3:30 p.m.

21. What fraction of the given figure is shaded?

• The figure consists of 36 small squares, with 7 shaded.
• Fraction = 7/36.
• Answer: (d) 7/36

22. Combined cost of 3 kg apples, 6 kg oranges, and 5 kg watermelons.

• Apples: $\frac{280}{5} \times 3 = 168$
• Oranges: $\frac{176}{4} \times 6 = 264$
• Watermelons: $\frac{208}{8} \times 5 = 130$
• Total = 168 + 264 + 130 = 562
• Answer: (b) ₹562

**23. Smallest possible number for * when 2304 ÷ 4 < 6 * ***

• $2304 \div 4 = 576$
• Find * such that $576 < 6*$:
• $* > 96$, smallest integer is 97.
• Answer: (c) 97

24. Find the value of (🍏 + 🍏 + 🍏) using given conditions.

• Using the equations, solving gives 1440.
• Answer: (c) 1440

25. Difference between largest odd and smallest even number from 2, 5, 4, 7, 9.

• Largest odd: 97541
• Smallest even: 24578
• Difference: 97541 - 24578 = 72963
• Answer: (d) 97245

26. Checking statements:

• (I) True, (II) False, (III) True, (IV) True
• Answer: (c) 3 statements correct

27. How many children left in the hall?

• Boys left: $\frac{1}{5} \times 825 = 165$
• Girls left: $\frac{1}{6} \times 438 = 73$
• Remaining: $825 - 165 + 438 - 73 = 1025$
• Answer: (c) 1025

Page 4

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28. School timing calculation

• Start time: 7:50 a.m.
• Work duration: 5 hours 15 minutes
• Lunch break: 35 minutes
• Total time: 5h 15m + 35m = 5h 50m
• End time: 7:50 a.m. + 5h 50m = 1:40 p.m.
• Answer: (b) 1:40 p.m.

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29. Cost of 1 kg wheat flour

• Given: 300 gm costs ₹12
• Cost per gram: 12 ÷ 300 = ₹0.04 per gram
• Cost of 1 kg (1000 gm): 1000 × 0.04 = ₹40
• Answer: (b) ₹40

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30. Find the smaller number

• Given:
  • x - y = 64
  • x + y = 236
• Solving:
  • 2x = 300 → x = 150
  • y = 150 - 64 = 86
• Answer: (c) 86

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31. Three-digit even numbers using 0,3,6 without repetition

• Three-digit even numbers: Must end in 0 or 6
• Case 1 (Ending in 0): Choices for first digit: 3, 6 → 2 choices
  • Second digit: 1 choice
• Case 2 (Ending in 6): Choices for first digit: 3 → 1 choice
  • Second digit: 1 choice
• Total = 2 + 1 = 3
• Answer: (a) 3

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32. Total money Ajay has

• 2 × ₹500 = ₹1000
• 3 × ₹100 = ₹300
• 4 × ₹50 = ₹200
• 5 × ₹20 = ₹100
• 6 × ₹10 = ₹60
• 7 × ₹5 = ₹35
• Total = ₹1000 + ₹300 + ₹200 + ₹100 + ₹60 + ₹35 = ₹1695
• Answer: (d) ₹1695

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33. Number of triangles in the given figure

• Careful counting gives 18 triangles
• Answer: (d) 18

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34. Place value of 5 in 49563

• Place value of 5 = 5000
• Face value of 5 = 5
• Difference = 5000 - 5 = 4995
• Answer: (b) 4995

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35. Total gain/loss in Sumit’s deal

• First transaction:
  • Bought at ₹3200, sold at ₹3560 → Gain of ₹360
• Second transaction:
  • Bought at ₹3300, sold at ₹3150 → Loss of ₹150
• Third transaction:
  • Bought at ₹3200, sold at ₹3280 → Gain of ₹80
• Net Gain = 360 - 150 + 80 = ₹290
• Answer: (a) ₹290 gain

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36. Find the weekday of 27th August

• Given 2nd August is Wednesday
• Days forward:
  • 2nd Aug → Wednesday
  • 9th Aug → Wednesday
  • 16th Aug → Wednesday
  • 23rd Aug → Wednesday
  • 27th Aug → Sunday
• Answer: (c) Sunday

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37. Identify the non-leap year

• Leap years are divisible by 4 (except century years, which must be divisible by 400)
• 1998 is not divisible by 4 → Not a leap year
• Answer: (a) 1998

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38. Find the difference between smallest and greatest P where 2014 ÷ P leaves remainder 5

• Possible values: 2014 - 5 = 2009
• Factors of 2009: 7 × 7 × 41
• Smallest P = 7, Largest P = 2009
• Difference = 2009 - 7 = 2002
• Answer: (b) 2002

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39. Convert feet to cm

• 1 foot = 12 inches
• 1 inch = 2.5 cm
• 4 feet = 4 × 12 × 2.5 = 120 cm
• Answer: (b) 120

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40. Number of cold drinks Aryan can get

• ₹200 at ₹20 per can → 10 cans
• Free drinks:
  • 10 cans → 10 empty cans
  • 10 ÷ 4 = 2 extra drinks
  • New total = 10 + 2 = 12
• Answer: (b) 12

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