Basic Mathematics MCQs for FPSC Meteorologist & Assistant Meteorologist
Explanation
Basic Mathematics MCQs for FPSC Meteorologist & Assistant Meteorologist (with Answers)
Basic Mathematics (called Basic Maths in the Meteorologist syllabus) covers arithmetic, percentages, ratios, algebra, averages, geometry basics and number series, often framed around meteorological data such as rainfall, temperature and seismic readings. This page contains 101 free MCQs with detailed explanations. Tap any option to check your answer instantly.
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Showing all 101 MCQs
Q1. If a weather station records rainfall of 12 mm, 18 mm, 25 mm and 9 mm over four days, what is the average daily rainfall?
- A. 14 mm
- B. 16 mm
- C. 18 mm
- D. 20 mm
Show Answer & Explanation
Correct Answer: B
The sum is 12+18+25+9 = 64 mm. Dividing by 4 days gives an average of 16 mm per day.
Q2. What is 25 percent of 640?
- A. 140
- B. 180
- C. 120
- D. 160
Show Answer & Explanation
Correct Answer: D
25 percent of 640 equals 0.25 multiplied by 640, which is 160.
Q3. Find the next term in the series: 2, 6, 18, 54, ___
- A. 144
- B. 162
- C. 216
- D. 108
Show Answer & Explanation
Correct Answer: B
Each term is multiplied by 3 to obtain the next: 54 multiplied by 3 equals 162.
Q4. If a barometer reading falls from 1013 hPa to 998 hPa, by how many hPa has pressure dropped?
- A. 20 hPa
- B. 10 hPa
- C. 15 hPa
- D. 25 hPa
Show Answer & Explanation
Correct Answer: C
1013 minus 998 equals a drop of 15 hectopascals, a straightforward subtraction problem testing basic arithmetic applied to a meteorological reading.
Q5. A weather balloon rises at a constant rate of 5 metres per second. How high will it be after 10 minutes?
- A. 5000 metres
- B. 500 metres
- C. 3000 metres
- D. 1500 metres
Show Answer & Explanation
Correct Answer: C
10 minutes equals 600 seconds. At 5 metres per second, the balloon rises 5 x 600 = 3000 metres.
Q6. If the ratio of rainy days to dry days in a month of 30 days is 2:3, how many rainy days were there?
- A. 10
- B. 12
- C. 18
- D. 15
Show Answer & Explanation
Correct Answer: B
The ratio parts sum to 5 (2+3). Each part equals 30/5 = 6 days. Rainy days = 2 x 6 = 12 days.
Q7. What is the value of x if 3x + 7 = 22?
- A. 5
- B. 3
- C. 9
- D. 7
Show Answer & Explanation
Correct Answer: A
Subtracting 7 from both sides gives 3x = 15. Dividing both sides by 3 gives x = 5.
Q8. Convert 25 degrees Celsius to Fahrenheit using F = (C x 9/5) + 32.
- A. 86 F
- B. 77 F
- C. 68 F
- D. 57 F
Show Answer & Explanation
Correct Answer: B
F = (25 x 9/5) + 32 = 45 + 32 = 77 degrees Fahrenheit, using the standard Celsius to Fahrenheit conversion formula.
Q9. What is the average of 10, 15, 20, 25 and 30?
- A. 18
- B. 25
- C. 22
- D. 20
Show Answer & Explanation
Correct Answer: D
The sum is 10+15+20+25+30 = 100. Dividing by 5 values gives an average of 20.
Q10. A rectangular weather station plot measures 40 metres by 25 metres. What is its area?
- A. 1000 sq m
- B. 650 sq m
- C. 800 sq m
- D. 1200 sq m
Show Answer & Explanation
Correct Answer: A
Area equals length multiplied by width: 40 x 25 = 1000 square metres.
Q11. If seismic data shows earthquake magnitudes of 4.2, 5.1, 3.8 and 4.9 in a month, what is the average magnitude?
- A. 4.0
- B. 4.8
- C. 4.5
- D. 5.0
Show Answer & Explanation
Correct Answer: C
Sum = 4.2+5.1+3.8+4.9 = 18.0. Dividing by 4 gives an average magnitude of 4.5.
Q12. Solve for x: 5x – 12 = 33.
- A. 7
- B. 9
- C. 13
- D. 11
Show Answer & Explanation
Correct Answer: B
Adding 12 to both sides gives 5x = 45. Dividing both sides by 5 gives x = 9.
Q13. What is 40 percent of 250?
- A. 100
- B. 80
- C. 110
- D. 90
Show Answer & Explanation
Correct Answer: A
40 percent of 250 equals 0.40 multiplied by 250, which is 100. Percentage calculations of this kind are standard in the Basic Mathematics portion of the paper.
Q14. Find the missing number in the series: 3, 9, 27, 81, ___
- A. 270
- B. 243
- C. 216
- D. 162
Show Answer & Explanation
Correct Answer: B
Each term in this series is obtained by multiplying the previous term by 3, so 81 multiplied by 3 gives the next term, 243.
Q15. A researcher records rainfall of 5, 10, 15 and 20 mm over four consecutive days. What is the median rainfall?
- A. 17.5 mm
- B. 12.5 mm
- C. 15 mm
- D. 10 mm
Show Answer & Explanation
Correct Answer: B
With an even number of values (5, 10, 15, 20), the median is the average of the two middle values: (10+15)/2 = 12.5 mm.
Q16. If two quantities are in the ratio 3:5 and their sum is 64, what is the smaller quantity?
- A. 28
- B. 20
- C. 32
- D. 24
Show Answer & Explanation
Correct Answer: D
The ratio parts sum to 8 (3+5). Each part equals 64/8 = 8. The smaller quantity is 3 x 8 = 24.
Q17. What is the square root of 169?
- A. 14
- B. 11
- C. 13
- D. 12
Show Answer & Explanation
Correct Answer: C
13 multiplied by 13 equals 169, so the square root of 169 is 13.
Q18. Convert the fraction 3/4 into a percentage.
- A. 75 percent
- B. 65 percent
- C. 70 percent
- D. 80 percent
Show Answer & Explanation
Correct Answer: A
3 divided by 4 equals 0.75, which as a percentage is 75 percent.
Q19. If a data logger records temperature every 15 minutes, how many readings does it take in 6 hours?
- A. 30
- B. 12
- C. 18
- D. 24
Show Answer & Explanation
Correct Answer: D
6 hours equals 360 minutes. Dividing by 15 minutes per reading gives 360/15 = 24 readings.
Q20. What is the value of 15 percent of 15 percent of 400?
- A. 12
- B. 15
- C. 9
- D. 6
Show Answer & Explanation
Correct Answer: C
15 percent of 400 equals 60. Taking 15 percent of that result (60) gives 9, illustrating a two-step percentage calculation.
Q21. If temperature readings of minus 3, 5, 8 and minus 2 degrees Celsius are recorded over four days, what is the average?
- A. 1.5 degrees C
- B. 3 degrees C
- C. 4 degrees C
- D. 2 degrees C
Show Answer & Explanation
Correct Answer: D
Sum = -3+5+8+(-2) = 8. Dividing by 4 gives an average of 2 degrees Celsius.
Q22. Simplify the ratio 24:36 to its lowest terms.
- A. 3:4
- B. 2:3
- C. 1:2
- D. 4:5
Show Answer & Explanation
Correct Answer: B
Dividing both terms by their greatest common factor, 12, gives 24/12 : 36/12 = 2:3.
Q23. What is 3 squared plus 4 squared?
- A. 25
- B. 12
- C. 7
- D. 49
Show Answer & Explanation
Correct Answer: A
3 squared is 9 and 4 squared is 16. Adding them gives 9 + 16 = 25.
Q24. If a project is 60 percent complete after 12 days, how many total days will it take at the same rate?
- A. 20 days
- B. 18 days
- C. 15 days
- D. 24 days
Show Answer & Explanation
Correct Answer: A
If 60 percent takes 12 days, then 1 percent takes 12/60 = 0.2 days, and 100 percent takes 0.2 x 100 = 20 days.
Q25. Solve: 2(x + 3) = 16.
- A. 4
- B. 6
- C. 5
- D. 7
Show Answer & Explanation
Correct Answer: C
Dividing both sides by 2 gives x + 3 = 8. Subtracting 3 gives x = 5.
Q26. What is the least common multiple (LCM) of 4 and 6?
- A. 24
- B. 12
- C. 10
- D. 8
Show Answer & Explanation
Correct Answer: B
The multiples of 4 are 4, 8, 12, 16… and of 6 are 6, 12, 18… The smallest common multiple is 12.
Q27. If a number is increased by 20 percent to become 60, what was the original number?
- A. 45
- B. 50
- C. 48
- D. 55
Show Answer & Explanation
Correct Answer: B
Let the original number be x. x + 0.20x = 60, so 1.20x = 60, giving x = 50.
Q28. What is the average of the first five even numbers (2, 4, 6, 8, 10)?
- A. 6
- B. 10
- C. 4
- D. 8
Show Answer & Explanation
Correct Answer: A
Sum = 2+4+6+8+10 = 30. Dividing by 5 numbers gives an average of 6, a straightforward application of the arithmetic mean formula.
Q29. If a seismograph records an earthquake at 14:32 and the P-wave arrives at 14:35, what is the time interval in minutes?
- A. 3 minutes
- B. 2 minutes
- C. 1 minute
- D. 4 minutes
Show Answer & Explanation
Correct Answer: A
The difference between 14:35 and 14:32 is 3 minutes, a straightforward time-interval subtraction relevant to calculating epicentral distance from wave arrival times.
Q30. Simplify: (8 + 4) x 2 – 6.
- A. 18
- B. 22
- C. 10
- D. 14
Show Answer & Explanation
Correct Answer: A
Following order of operations, first resolve the bracket: 8+4=12. Then multiply: 12×2=24. Finally subtract: 24-6=18.
Q31. What is 7 multiplied by 8, minus 15?
- A. 31
- B. 41
- C. 51
- D. 61
Show Answer & Explanation
Correct Answer: B
7 multiplied by 8 equals 56. Subtracting 15 gives 56 – 15 = 41.
Q32. If x = 4 and y = 3, what is the value of 2x squared minus y?
- A. 26
- B. 32
- C. 25
- D. 29
Show Answer & Explanation
Correct Answer: D
x squared = 16, so 2x squared = 32. Subtracting y (3) gives 32 – 3 = 29.
Q33. A recording instrument logs data every 10 minutes. How many readings are logged in 24 hours?
- A. 156
- B. 120
- C. 168
- D. 144
Show Answer & Explanation
Correct Answer: D
24 hours equals 1440 minutes. Dividing by 10 minutes per reading gives 1440/10 = 144 readings.
Q34. What is the value of 6 factorial (6!)?
- A. 720
- B. 120
- C. 360
- D. 5040
Show Answer & Explanation
Correct Answer: A
Factorial notation means multiplying all positive integers up to that number: 6! = 6x5x4x3x2x1 = 720.
Q35. If the probability of rain tomorrow is 30 percent, what is the probability it will NOT rain?
- A. 30 percent
- B. 70 percent
- C. 50 percent
- D. 100 percent
Show Answer & Explanation
Correct Answer: B
Since total probability must equal 100 percent, the probability of no rain is 100 minus 30, which equals 70 percent.
Q36. Convert 0.65 into a fraction in its simplest form.
- A. 6/10
- B. 5/8
- C. 13/20
- D. 65/100
Show Answer & Explanation
Correct Answer: C
0.65 equals 65/100, which simplifies by dividing both terms by their greatest common factor, 5, to give 13/20.
Q37. What is the perimeter of a rectangular field measuring 30 metres by 20 metres?
- A. 70 metres
- B. 600 metres
- C. 100 metres
- D. 50 metres
Show Answer & Explanation
Correct Answer: C
Perimeter of a rectangle equals 2 x (length + width) = 2 x (30+20) = 2 x 50 = 100 metres.
Q38. If a quantity doubles every hour, starting from 5, what will it be after 3 hours?
- A. 30
- B. 15
- C. 20
- D. 40
Show Answer & Explanation
Correct Answer: D
Starting at 5: after 1 hour = 10, after 2 hours = 20, after 3 hours = 40, doubling each time.
Q39. What is 18 as a percentage of 90?
- A. 25 percent
- B. 20 percent
- C. 10 percent
- D. 30 percent
Show Answer & Explanation
Correct Answer: B
18 divided by 90 equals 0.20, which as a percentage is 20 percent.
Q40. Solve: (x/4) + 3 = 9.
- A. 20
- B. 24
- C. 28
- D. 12
Show Answer & Explanation
Correct Answer: B
Subtracting 3 from both sides gives x/4 = 6. Multiplying both sides by 4 gives x = 24.
Q41. What is the sum of the interior angles of a triangle?
- A. 180 degrees
- B. 90 degrees
- C. 270 degrees
- D. 360 degrees
Show Answer & Explanation
Correct Answer: A
The sum of the interior angles of any triangle is always 180 degrees, a fundamental principle of Euclidean geometry.
Q42. What is the sum of the interior angles of a quadrilateral (four-sided figure)?
- A. 360 degrees
- B. 450 degrees
- C. 180 degrees
- D. 270 degrees
Show Answer & Explanation
Correct Answer: A
The sum of the interior angles of any quadrilateral is always 360 degrees, which can be derived by dividing it into two triangles.
Q43. A data set has 40 values with a sum of 800. What is the mean?
- A. 30
- B. 15
- C. 25
- D. 20
Show Answer & Explanation
Correct Answer: D
Mean equals the sum divided by the number of values: 800 divided by 40 equals 20.
Q44. If 3 workers can complete a task in 12 days, how many days would 6 workers take, assuming the same rate per worker?
- A. 9 days
- B. 6 days
- C. 12 days
- D. 3 days
Show Answer & Explanation
Correct Answer: B
Total work = 3 x 12 = 36 worker-days. With 6 workers, 36/6 = 6 days.
Q45. What is the value of 2 to the power of 5 (2^5)?
- A. 64
- B. 32
- C. 16
- D. 128
Show Answer & Explanation
Correct Answer: B
2 to the power of 5 means multiplying 2 by itself five times: 2x2x2x2x2 = 32.
Q46. A circle has a radius of 7 cm. Using pi as approximately 22/7, what is its circumference?
- A. 55 cm
- B. 44 cm
- C. 33 cm
- D. 22 cm
Show Answer & Explanation
Correct Answer: B
Circumference equals 2 x pi x radius = 2 x (22/7) x 7 = 44 cm.
Q47. What is 15 plus 27 multiplied by 2?
- A. 57
- B. 42
- C. 69
- D. 84
Show Answer & Explanation
Correct Answer: C
Following order of operations, multiplication comes first: 27 x 2 = 54. Then addition: 15 + 54 = 69.
Q48. What is 100 divided by 4, then multiplied by 3?
- A. 75
- B. 65
- C. 50
- D. 80
Show Answer & Explanation
Correct Answer: A
100 divided by 4 equals 25. Multiplying by 3 gives 25 x 3 = 75.
Q49. If a number is tripled and then 5 is added to give 32, what was the original number?
- A. 9
- B. 10
- C. 8
- D. 7
Show Answer & Explanation
Correct Answer: A
Let the number be x. Three times x plus five equals thirty-two, so three x equals twenty-seven, giving x equals nine.
Q50. What is 45 percent of 200?
- A. 90
- B. 95
- C. 80
- D. 85
Show Answer & Explanation
Correct Answer: A
45 percent of 200 equals 0.45 multiplied by 200, which is 90.
Q51. What is the value of 9 squared minus 5 squared?
- A. 54
- B. 44
- C. 64
- D. 56
Show Answer & Explanation
Correct Answer: D
9 squared is 81 and 5 squared is 25. Subtracting gives 81 minus 25, which equals 56.
Q52. What is the value of 3 cubed?
- A. 18
- B. 24
- C. 9
- D. 27
Show Answer & Explanation
Correct Answer: D
3 cubed means 3 multiplied by itself three times: 3 x 3 x 3 = 27.
Q53. Find the missing number: 5, 11, 17, 23, ___
- A. 33
- B. 29
- C. 27
- D. 31
Show Answer & Explanation
Correct Answer: B
Each term in this series increases by a constant difference of 6. Adding 6 to 23 gives the next term, 29.
Q54. If 40 percent of a number is 60, what is the number?
- A. 150
- B. 140
- C. 120
- D. 160
Show Answer & Explanation
Correct Answer: A
Let the number be x. 0.40x = 60, so x = 60 divided by 0.40, which equals 150.
Q55. What is the greatest common divisor (GCD) of 18 and 24?
- A. 3
- B. 4
- C. 9
- D. 6
Show Answer & Explanation
Correct Answer: D
The factors of 18 are 1,2,3,6,9,18 and of 24 are 1,2,3,4,6,8,12,24. The greatest common factor is 6.
Q56. A rectangle has a length of 12 cm and a width of 5 cm. What is its area?
- A. 60 sq cm
- B. 17 sq cm
- C. 34 sq cm
- D. 72 sq cm
Show Answer & Explanation
Correct Answer: A
Area of a rectangle equals length multiplied by width: 12 x 5 = 60 square centimetres.
Q57. What is 7/8 expressed as a decimal?
- A. 0.75
- B. 0.825
- C. 0.925
- D. 0.875
Show Answer & Explanation
Correct Answer: D
Dividing the numerator 7 by the denominator 8 gives a decimal value of 0.875.
Q58. If two angles of a triangle are 50 degrees and 60 degrees, what is the third angle?
- A. 80 degrees
- B. 90 degrees
- C. 60 degrees
- D. 70 degrees
Show Answer & Explanation
Correct Answer: D
The angles of a triangle sum to 180 degrees. 180 minus the sum of 50 and 60 (which is 110) equals 70 degrees.
Q59. What is the value of 4 factorial (4!) divided by 2 factorial (2!)?
- A. 12
- B. 6
- C. 10
- D. 8
Show Answer & Explanation
Correct Answer: A
4 factorial equals 4x3x2x1, which is 24, and 2 factorial equals 2×1, which is 2. Dividing 24 by 2 gives 12.
Q60. A car travels 240 km in 4 hours. What is its average speed?
- A. 70 km/h
- B. 50 km/h
- C. 80 km/h
- D. 60 km/h
Show Answer & Explanation
Correct Answer: D
Average speed equals distance divided by time: 240 divided by 4 equals 60 kilometres per hour.
Q61. If a stream discharge is 45 cusecs and it flows for 2 hours, expressed in cusec-hours, what is the total?
- A. 45
- B. 135
- C. 67.5
- D. 90
Show Answer & Explanation
Correct Answer: D
Discharge multiplied by time gives volume: 45 cusecs multiplied by 2 hours equals 90 cusec-hours.
Q62. What is the value of the expression 5(3+2) – 10?
- A. 20
- B. 5
- C. 15
- D. 10
Show Answer & Explanation
Correct Answer: C
First resolve the bracket: 3+2 equals 5. Then multiply: 5×5 equals 25. Finally subtract: 25-10 equals 15.
Q63. Simplify the ratio 45:60 to its lowest terms.
- A. 4:5
- B. 2:3
- C. 3:4
- D. 5:6
Show Answer & Explanation
Correct Answer: C
Dividing both terms by their greatest common factor, 15, gives 45/15 to 60/15, which is 3:4.
Q64. What is 60 percent expressed as a fraction in its simplest form?
- A. 3/5
- B. 4/7
- C. 2/3
- D. 5/8
Show Answer & Explanation
Correct Answer: A
60 percent equals 60/100, which simplifies by dividing both terms by 20 to give 3/5.
Q65. If x squared equals 49, what are the possible values of x?
- A. No real solution
- B. Only -7
- C. Only 7
- D. 7 or -7
Show Answer & Explanation
Correct Answer: D
Since both 7 squared and negative 7 squared equal 49, x can be either positive 7 or negative 7.
Q66. A tank holds 500 litres. If it is filled to 70 percent capacity, how many litres does it contain?
- A. 450 litres
- B. 300 litres
- C. 350 litres
- D. 400 litres
Show Answer & Explanation
Correct Answer: C
70 percent of 500 litres equals 0.70 multiplied by 500, which is 350 litres.
Q67. What is the next number in the series: 1, 4, 9, 16, 25, ___?
- A. 32
- B. 30
- C. 36
- D. 40
Show Answer & Explanation
Correct Answer: C
This series consists of perfect squares: 1, 4, 9, 16, 25 are 1 squared through 5 squared. The next term is 6 squared, which is 36.
Q68. If two variables are inversely proportional and one doubles, the other:
- A. Stays the same
- B. Triples
- C. Also doubles
- D. Is halved
Show Answer & Explanation
Correct Answer: D
In an inverse proportion, when one variable doubles, the other is halved, so their product remains constant.
Q69. What is the average of 5, 10, 15, 20, 25 and 30?
- A. 17.5
- B. 20
- C. 15
- D. 22.5
Show Answer & Explanation
Correct Answer: A
The sum of these six values is 105. Dividing by 6 gives an average of 17.5.
Q70. A pump fills a tank in 8 hours. What fraction of the tank is filled in 3 hours?
- A. 1/3
- B. 5/8
- C. 1/8
- D. 3/8
Show Answer & Explanation
Correct Answer: D
If the pump fills the whole tank in 8 hours, in 3 hours it fills 3/8 of the tank, assuming a constant filling rate.
Q71. What is the value of 8 minus 3 multiplied by 2, plus 1?
- A. 5
- B. 4
- C. 12
- D. 3
Show Answer & Explanation
Correct Answer: D
Following order of operations, multiplication comes first: 3 x 2 equals 6. Then 8 minus 6 equals 2. Finally, 2 plus 1 equals 3.
Q72. If the perimeter of a square is 36 cm, what is the length of one side?
- A. 6 cm
- B. 12 cm
- C. 9 cm
- D. 18 cm
Show Answer & Explanation
Correct Answer: C
A square has four equal sides, so one side equals the perimeter divided by 4: 36 divided by 4 equals 9 cm.
Q73. What is the area of a square with a side length of 9 cm?
- A. 72 sq cm
- B. 36 sq cm
- C. 81 sq cm
- D. 18 sq cm
Show Answer & Explanation
Correct Answer: C
Area of a square equals side length squared: 9 multiplied by 9 equals 81 square centimetres.
Q74. A recipe requires ingredients in the ratio 2:3:5 totalling 100 units. How many units is the largest part?
- A. 30
- B. 20
- C. 40
- D. 50
Show Answer & Explanation
Correct Answer: D
The ratio parts sum to 10 (2+3+5). Each part equals 100 divided by 10, which is 10 units. The largest part is 5 multiplied by 10, which is 50 units.
Q75. What is 3/5 of 150?
- A. 90
- B. 105
- C. 75
- D. 60
Show Answer & Explanation
Correct Answer: A
3/5 of 150 equals 3 multiplied by 150, divided by 5, which is 90.
Q76. If a triangle has a base of 10 cm and a height of 6 cm, what is its area?
- A. 120 sq cm
- B. 16 sq cm
- C. 30 sq cm
- D. 60 sq cm
Show Answer & Explanation
Correct Answer: C
Area of a triangle equals half the base multiplied by height: 0.5 multiplied by 10 multiplied by 6, which is 30 square centimetres.
Q77. What is the value of the square root of 225?
- A. 14
- B. 15
- C. 12
- D. 13
Show Answer & Explanation
Correct Answer: B
15 multiplied by 15 equals 225, so the square root of 225 is 15.
Q78. A cylindrical tank has a diameter of 14 metres. What is its radius?
- A. 14 metres
- B. 3.5 metres
- C. 28 metres
- D. 7 metres
Show Answer & Explanation
Correct Answer: D
The radius is half the diameter: 14 divided by 2 equals 7 metres.
Q79. If 5 pens cost 250 rupees, what is the cost of 8 pens at the same rate?
- A. 420 rupees
- B. 450 rupees
- C. 350 rupees
- D. 400 rupees
Show Answer & Explanation
Correct Answer: D
Cost per pen equals 250 divided by 5, which is 50 rupees. For 8 pens: 8 multiplied by 50 equals 400 rupees.
Q80. What is 2/3 plus 1/6, expressed as a single fraction?
- A. 5/6
- B. 1/2
- C. 3/6
- D. 7/9
Show Answer & Explanation
Correct Answer: A
Converting 2/3 to sixths gives 4/6. Adding 1/6 gives 4/6 plus 1/6, which equals 5/6.
Q81. A number increased by 25 percent equals 100. What was the original number?
- A. 80
- B. 90
- C. 85
- D. 75
Show Answer & Explanation
Correct Answer: A
Let the number be x. x plus 0.25x equals 100, so 1.25x equals 100, giving x equals 80.
Q82. What is the value of 10 to the power of negative 2 (10 to the -2)?
- A. 1
- B. 0.001
- C. 0.1
- D. 0.01
Show Answer & Explanation
Correct Answer: D
A negative exponent indicates a reciprocal: 10 to the -2 equals 1 divided by 10 squared, which is 1/100, or 0.01.
Q83. If two numbers have a sum of 50 and a difference of 10, what are the two numbers?
- A. 20 and 30
- B. 25 and 25
- C. 15 and 35
- D. 10 and 40
Show Answer & Explanation
Correct Answer: A
Let the numbers be x and y, where x+y=50 and x-y=10. Adding these two equations gives 2x=60, so x=30 and y=20.
Q84. A journey of 350 km is completed at an average speed of 70 km/h. How long does it take?
- A. 6 hours
- B. 4 hours
- C. 7 hours
- D. 5 hours
Show Answer & Explanation
Correct Answer: D
Time equals distance divided by speed: 350 divided by 70 equals 5 hours.
Q85. What is 120 percent of 50?
- A. 50
- B. 60
- C. 65
- D. 55
Show Answer & Explanation
Correct Answer: B
120 percent of 50 equals 1.20 multiplied by 50, which is 60.
Q86. If a shape has 5 sides, what is it called?
- A. Square
- B. Octagon
- C. Pentagon
- D. Hexagon
Show Answer & Explanation
Correct Answer: C
A five-sided polygon is called a pentagon. A hexagon has six sides and an octagon has eight.
Q87. What is the sum of the first 5 positive whole numbers (1 to 5)?
- A. 25
- B. 20
- C. 10
- D. 15
Show Answer & Explanation
Correct Answer: D
Adding the whole numbers one through five together, 1+2+3+4+5, gives a total sum of 15.
Q88. A recording shows readings of 12, 18, 24 and 30. What is the common difference between consecutive terms?
- A. 6
- B. 10
- C. 4
- D. 8
Show Answer & Explanation
Correct Answer: A
Each term increases by a constant amount: 18-12=6, 24-18=6, 30-24=6, so the common difference is 6.
Q89. What is the value of 100 minus 25 percent of 100?
- A. 50
- B. 65
- C. 75
- D. 85
Show Answer & Explanation
Correct Answer: C
25 percent of 100 is 25. Subtracting from 100 gives 100 minus 25, which is 75.
Q90. If a map scale is 1:50,000, how many actual kilometres does 2 cm on the map represent?
- A. 2 km
- B. 1 km
- C. 0.5 km
- D. 4 km
Show Answer & Explanation
Correct Answer: B
At a scale of 1:50,000, 1 cm on the map represents 50,000 cm in reality, which is 0.5 km. Therefore 2 cm represents 2 multiplied by 0.5, which is 1 km.
Q91. What is the reciprocal of 4/7?
- A. 3/7
- B. 7/3
- C. 4/7
- D. 7/4
Show Answer & Explanation
Correct Answer: D
The reciprocal of a fraction is obtained by inverting it: the reciprocal of 4/7 is 7/4.
Q92. A number is divisible by both 3 and 4. Which of these could it be?
- A. 24
- B. 14
- C. 20
- D. 10
Show Answer & Explanation
Correct Answer: A
24 is divisible by both 3 (24 divided by 3 equals 8) and 4 (24 divided by 4 equals 6), whereas 10, 14 and 20 each fail at least one of these tests.
Q93. What is the average of the numbers 8, 12, 16 and 20?
- A. 14
- B. 16
- C. 12
- D. 18
Show Answer & Explanation
Correct Answer: A
The sum of these values is 56. Dividing by 4 values gives an average of 14.
Q94. If a discount of 20 percent is applied to a price of 800 rupees, what is the discounted price?
- A. 660 rupees
- B. 620 rupees
- C. 600 rupees
- D. 640 rupees
Show Answer & Explanation
Correct Answer: D
20 percent of 800 is 160. Subtracting the discount from the original price: 800 minus 160 equals 640 rupees.
Q95. What is the least common multiple (LCM) of 6 and 8?
- A. 24
- B. 12
- C. 48
- D. 16
Show Answer & Explanation
Correct Answer: A
Multiples of 6 are 6,12,18,24 and of 8 are 8,16,24. The smallest common multiple is 24.
Q96. If a value increases from 40 to 50, what is the percentage increase?
- A. 25 percent
- B. 10 percent
- C. 30 percent
- D. 20 percent
Show Answer & Explanation
Correct Answer: A
The increase is 10 (50 minus 40). As a percentage of the original value: 10 divided by 40, multiplied by 100, equals 25 percent.
Q97. What is the volume of a cube with side length 4 cm?
- A. 48 cubic cm
- B. 64 cubic cm
- C. 32 cubic cm
- D. 16 cubic cm
Show Answer & Explanation
Correct Answer: B
Volume of a cube equals side length cubed: 4 multiplied by 4 multiplied by 4 equals 64 cubic centimetres.
Q98. A survey team records 5 readings averaging 60. If a 6th reading of 90 is added, what is the new average?
- A. 60
- B. 70
- C. 65
- D. 75
Show Answer & Explanation
Correct Answer: C
The original total is 5 multiplied by 60, which is 300. Adding 90 gives 390. The new average is 390 divided by 6, which is 65.
Q99. What is 9 multiplied by 11?
- A. 89
- B. 99
- C. 97
- D. 109
Show Answer & Explanation
Correct Answer: B
Multiplying 9 by 11 using standard multiplication gives a result of 99.
Q100. If a rectangular field has an area of 200 sq metres and a length of 20 metres, what is its width?
- A. 10 metres
- B. 8 metres
- C. 12 metres
- D. 15 metres
Show Answer & Explanation
Correct Answer: A
Width equals area divided by length: 200 divided by 20 equals 10 metres.
Q101. What is 3/4 divided by 1/2?
- A. 3/2
- B. 3/4
- C. 2
- D. 3/8
Show Answer & Explanation
Correct Answer: A
Dividing by a fraction means multiplying by its reciprocal: 3/4 divided by 1/2 equals 3/4 multiplied by 2, which is 6/4, simplifying to 3/2.
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