Fractions & Decimals MCQs with Answers – Solved from Past Papers
155 solved Fractions & Decimals MCQs collected from real PPSC, FPSC, SPSC, KPPSC, BPSC & NTS past papers (2002–2026). Tap an option to attempt — see correct answer instantly. Download the full PDF for offline revision.
The fraction 5/8 with a denominator 40 is?
Show solution
To convert 5/8 to denominator 40, multiply top and bottom by 5: (5×5)/(8×5) = 25/40.
Find the circumstances if radius is “8”?
Show solution
Circumference = 2πr = 2 × 3.1416 × 8 ≈ 50.27, closest to 50.2.
If 2vV(x+2) = 3V2. Find the value of x?
Show solution
2√(x+2) = 3√2. Square both sides: 4(x+2) = 18, so x+2 = 4.5, x = 2.5.
If aperson has $1.50, $6.05, and $3.25, what will be their total amount?
Show solution
Sum = 1.50 + 6.05 + 3.25 = 10.80.
A bank teller uses the equation Y=1.30x-1.50Y=1.30x-1.50 to exchange U.S. dollars into euros, where y is the euro amount and x is the U.S. dollar amount. Which of the following is the best interpretation of the 1.50 in the equation?
Show solution
In y = 1.30x − 1.50, the constant 1.50 is subtracted regardless of x, so it represents a fixed bank charge of 1.50 euros.
If 2V(x+2) = 3V2. Find the value of x?
Show solution
2√(x+2) = 3√2. Squaring: 4(x+2) = 18, x = 2.5.
Ifaperson has $1.50, $6.05, and $3.25, what will be their total amount?
Show solution
1.50 + 6.05 + 3.25 = 10.80.
Which is next term in given sequence?
Show solution
Differences are 6, 8, 10, so next difference = 12. Next term = 29 + 12 = 41.
The sum of 0.3 + 0.03 + 0.003 + 0.0003?
Show solution
0.3 + 0.03 + 0.003 + 0.0003 = 0.3333.
The capacity of a cuboidal tank is 50000 liters of water. Find the breadth of the tank, if its length and depth are respectively 2.5 mand10m²
Show solution
50000 L = 50 m³. Volume = L × B × D, so 2.5 × B × 10 = 50, giving B = 2 m.
If Akbar had $12 and spent $8.4, how much money is left?
Show solution
12 − 8.4 = 3.6.
What is the value of 0.085 + 0.017?
Show solution
0.085 + 0.017 = 0.102.
The area of a right-angled triangle is 42 cm. If perpendicular is 10 cm, then find the base?
Show solution
Area = ½ × base × height. 42 = ½ × b × 10, so b = 84/10 = 8.4 cm.
Aperson drives a car at a speed of 50 miles per hour. How far will he travel in 2.5 hours?
Show solution
Distance = speed × time = 50 × 2.5 = 125 miles.
Ifthe volume of cone is 245 cm3 and radius is 7 cm find the height of cone?
Show solution
V = (1/3)πr²h → h = 3V/(πr²) = 3×245/(π×49) ≈ 4.77 cm.
A bicycle makes 4000 rev. to cover a distance of 8 KM. Find the diameter?
Show solution
Distance per revolution = 8000 m / 4000 = 2 m. Circumference πd = 2, so d = 2/π ≈ 0.637 m.
The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes 1/2. Find the fraction?
Show solution
Let denom = d, num = d−4. (d−4+1)/(d+1) = 1/2 → 2(d−3) = d+1 → d = 7, num = 3. Fraction = 3/7.
A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building which casts a shadow of length 28.75 m under similar conditions will be?
Show solution
Similar triangles: 17.5/40.25 = h/28.75 → h = 17.5 × 28.75 / 40.25 = 12.5 m.
Find the correct value of x 3889+12.952-x=3854.002?
Show solution
x = 3889 + 12.952 − 3854.002 = 47.95.
4.036 divided by 0.04 gives?
Show solution
4.036 ÷ 0.04 = 403.6/4 = 100.9.
Anobserver 1.6m tall is 20V3m away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is?
Show solution
Tower height above eye = 20√3 × tan 30° = 20√3 × (1/√3) = 20 m. Adding eye height 1.6 m → 21.6 m.
The area of circle is 275cm². What is the circumference of circle?
Show solution
πr² = 275 → r = √(275/π) ≈ 9.355. Circumference = 2πr ≈ 58.79 cm.
How many pieces of 13.2 cm can be cut from a 330 cm long rod?
Show solution
330 ÷ 13.2 = 25 pieces.
If 6 persons working 8 hours a day earn Rs.8400 per week, then how much will 9 persons be working 6 hours a day each per week?
Show solution
Wage per man-hour = 8400/(6×8×7) = 25. For 9 men × 6 hr × 7 days = 378 man-hours × 25 = Rs.9450.
Ifthe cost of tiles is Rs.5 for 50 sq.m, what will be the cost of 400 sq.m²
Show solution
Rate = Rs.5/50 sq m = Rs.0.10 per sq m. Cost = 400 × 0.10 = Rs.40.
Atrain covers 32 kilometers in 14.5 minutes. If it continues to travel at the same rate, which of the following is closest to the distance it will travel in 2 hours?
Show solution
Speed = 32/14.5 km/min. In 120 min = 32 × 120/14.5 ≈ 264.83, closest to 265 km.
The product of 0.003×0.02?
Show solution
0.003 × 0.02 = 0.00006.
The repeating decimal 0.121212…… can be written as?
Show solution
0.121212… = 12/99 = 4/33 after dividing top and bottom by 3.
If 12 eggs cost Rs.40, how much will 30 eggs cost?
Show solution
Cost per egg = 40/12. For 30 eggs = 30 × 40/12 = Rs.100.
The total cost of placing an advertisement in a newspaper compromise of a fixed cost of $3.50 and a variable cost that depends on the number of words. Each word costs 25 cents. Find the total cost of placing an advertisement containing 22 words?
Show solution
Cost = 3.50 + 22 × 0.25 = 3.50 + 5.50 = $9.
Usher ona rice crop produced by natural resources amounting to Rs. 6,00,000 is?
Show solution
Ushr on natural-resource irrigated crops is 10%. 10% of 600000 = Rs.60000.
The excise duty at rate of 150%, one has to pay against an amount of Rs. 3,00,000 is?
Show solution
150% of 300000 = 1.5 × 300000 = Rs.450000.
| paid 3/5 of a bill. If Rs. 400 of the bill is still due, what was the total amount of the bill?
Show solution
Remaining 2/5 of bill = Rs.400. Total = 400 × 5/2 = Rs.1000.
Out of an earning of Rs.720, Raza spends 65%. How much does he save?
Show solution
Saves 35% of 720 = 0.35 × 720 = Rs.252.
Total cost of 5 markers and 1 pencil is Rs.245 and total cost of 3 markers and 3 pencils is Rs.327. What is the cost of one marker?
Show solution
5m + p = 245 and 3m + 3p = 327 → m + p = 109. Subtract: 4m = 136 → m = Rs.34.
Awater tank in the shape of a cuboid has length 1.5 meters and width 1 meter. How many liters of water in the tank if water is 60 centimeters deep?
Show solution
Volume = 1.5 × 1 × 0.6 = 0.9 m³ = 900 L.
Find the height of a parallelogram whose area is 54 cm² and the base is 15 cm²
Show solution
Area = base × height → 54 = 15 × h → h = 3.6 cm.
The fuel is after 4" lap is 22 and it is 18 after 7" laps then how many laps are made at the end?
Show solution
Fuel drops 22 → 18 (loss 4) over laps 4 → 7 (3 laps), so rate = 4/3 per lap. Initial fuel = 22 + 4×(4/3) = 82/3. Total laps = (82/3)/(4/3) = 20.5.
The binary decimal of 10100 is?
Show solution
Binary 10100 = 16 + 4 = 20 (base 10).
A Ladder 15 m Long Just Reaches the Top of a Vertical Wall. If the Ladder Makes an Angle of 60° with the Wall, Then the length of the Wall is?
Show solution
Angle 60° with the wall means wall height = 15 × cos 60° = 15 × 0.5 = 7.5 m.
If 144/0.144 = 14.4/x then what will be the value of x?
Show solution
144/0.144 = 1000, so 14.4/x = 1000 → x = 0.0144.
3.275 is equal to?
Anopen rectangular tank that is 4m long, 2m wide and 4.8m high, is initially three-quarters filled with water. Find the depth of water in the tank after 4000 liters of water are added to it?
Show solution
Tank vol = 4×2×4.8 = 38.4 m³ = 38400 L. Three-quarters = 28800 L; add 4000 → 32800 L. Depth = 32800/(4×2×1000) = 4.1 m.
6×6 inch tiles rate Rs.60 room area of 10×6 feet. The total cost of tiles flooring is?
Show solution
6×6 inch tile = 0.5×0.5 ft = 0.25 sq ft. Room = 60 sq ft → 240 tiles × Rs.60 = Rs.14400.
The total cost of 12 pens and 5 pencils is equal to Rs.111. Also, the cost of 1 pencil is Rs.5 less than the cost of 1 pen. What will be the cost of 8 pens and 9 pencils?
Show solution
12p + 5(p−5) = 111 → 17p = 136 → p = 8, pencil = 3. 8 pens + 9 pencils = 64 + 27 = Rs.91.
The length and breadth of a rectangular drawing room of a house are 18 ft and 13 ft respectively. The length of house is 10 ft. If the cost of painting is Rs.40 per square ft. Find the cost of painting the drawing room²
Show solution
Walls area = 2(L+B)×H = 2(18+13)×10 = 620 sq ft. Cost = 620 × 40 = Rs.24800.
A boy makes a diagram of a plane to scale of 1/400 of actual size. If the diagram of the plane is 9.6 inches in length, what is the length, in feet, of the plane?
Show solution
Actual length = 9.6 × 400 = 3840 inches = 3840/12 = 320 ft.
The perimeter of square whose side is 2.5 cm long is?
Show solution
Perimeter of square = 4 × side = 4 × 2.5 = 10 cm.
According to a time table a coach was due to leave a station at 22.55 and arrive at its destination at 06.05 the next day find the time for the journey?
Show solution
22:55 to 24:00 = 1 hr 5 min; plus 6 hr 5 min = 7 hr 10 min.
If94 is subtracted from three times a certain number the result is 36. Find the number?
Show solution
3x − 94 = 36 → 3x = 130 → x ≈ 43.33.
Tank fills in 0.8 s; in 2 hours how many tanks can be filled?
Show solution
2 hours = 7200 s. Tanks filled = 7200 / 0.8 = 9000.
When 52416 is divided by 312, the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168?
Show solution
52416/312 = 168. For 52.416/0.0168 = 52416/16.8 = 3120.
The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozen of such mangoes?
Show solution
Per-mango = 1517.25/357 = 4.25. 49 dozen = 588 mangoes × 4.25 = Rs.2499.
The place value of 9 in 0.06945 is?
Show solution
In 0.06945 the 9 is the third decimal (thousandths), so place value = 9 × 0.001 = 0.009.
7.5 million in numbers is write as?
Show solution
7.5 million = 7,500,000.
Atrain left a station at 8.35 a.m. and arrived at destination at 3.12 p.m. How long did the journey take?
Show solution
8:35 a.m. to 3:12 p.m. = 6 hr 37 min, which matches the option starting with '6 hours and'.
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights 8 g/cm², then the weight of iron is?
Show solution
Ext radius 4, int radius 3. Volume = π(4²−3²)×21 = 147π ≈ 461.8 cm³. Weight = 461.8 × 8 g ≈ 3694 g ≈ 3.696 kg.
The value of (3.5 x 1.4) + 0.7 is?
Show solution
(3.5 × 1.4) ÷ 0.7 = 4.9/0.7 = 7. The '+' in the question is an OCR error for '÷'.
4.036 divide by 0.04?
Show solution
4.036 ÷ 0.04 = 100.9.
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is?
Show solution
Length = foot / cos 60° = 4.6 / 0.5 = 9.2 m.
0.0009 +x = 0.01. Find the value of x?
The area of a circle is 98.56 cm². Find its circumference?
Show solution
πr² = 98.56 → r = √(98.56/π) ≈ 5.6 cm. Circumference = 2πr ≈ 35.17 cm.
Aliran around a 1/4 kilometer track 17 times. How many kilometers did he ran?
Show solution
Distance = 17 × 1/4 = 17/4 = 4.25 km.
Ifthe rate of tax on salary is 15%, then what is the monthly salary of a person who pays 4500 per month?
Show solution
15% of salary = 4500 → salary = 4500/0.15 = Rs.30000.
The cost of paint is Rs. 36.50 per kg. If one kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having each side of 8 feet?
Show solution
Surface area of cube = 6 × 8² = 384 sq ft. Paint needed = 384/16 = 24 kg × Rs.36.50 = Rs.876.
Six tenths is the same as?
Show solution
Six tenths = 6/10 = 0.6.
If 1 inch = 60 then 2.5 inches is equal to?
Show solution
2.5 × 60 = 150.
To fill a tank 25 buckets of water are required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present capacity?
Show solution
New buckets = 25 ÷ (2/5) = 25 × 5/2 = 62.5.
12 men and 15 women can reap a field in 14 days. Find the days that 7 men and 5 women can take to reap it?
Show solution
Assuming equal man/woman work, 27 workers × 14 days = 378 work-days. 12 workers (7+5) take 378/12 = 31.5 days.
When you divide 0.7 by 10, you will get?
Show solution
0.7 ÷ 10 = 0.07.
Aman buys an article of $27.50 and sells it for $28.60. What is his gain?
Show solution
Gain = 28.60 − 27.50 = $1.10.
Round off the following digit 38.23?
Show solution
38.23 rounded to nearest whole = 38 (since 0.23 < 0.5).
756/100 in decimal form is?
Show solution
756/100 = 7.56.
What fraction of a cake remains when 3/8 of the cake has been eaten?
Show solution
Remaining = 1 − 3/8 = 5/8.
If Jack needs 2.5 pints of cream to make a dessert. How many pints will he need to make 3 desserts?
Show solution
3 desserts need 3 × 2.5 = 7.5 pints.
Ahmad reads 24 pages of a book in 15 minutes. The rate of pages read per minute by him will be?
Show solution
Rate = 24 pages / 15 min = 1.6 pages per minute.
Solve v(1.44)?
Show solution
√1.44 = 1.2 (since 1.2² = 1.44).
Sam bought a 12 pack of soda for $5.40. How much did he pay per can of soda?
Show solution
Per can = 5.40 / 12 = $0.45.
Solve 8+0.2?
Show solution
8 ÷ 0.2 = 40 (the '+' is an OCR error for '÷').
Amancan doa piece of work in 5 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone?
Show solution
Son's rate = 1/3 − 1/5 = 2/15 per day, so son alone needs 15/2 = 7.5 days.
What is the square root of 0.16?
Show solution
√0.16 = 0.4 (since 0.4² = 0.16).
The cube root of 0.000216 is?
Show solution
∛0.000216 = 0.06 (since 0.06³ = 0.000216).
Toconvert a decimal number into binary number, we use the method of repeated?
Show solution
Decimal-to-binary conversion uses repeated division by 2, recording remainders.
Aspeed of 14 meters per second is the same as?
Show solution
14 m/s × 3.6 = 50.4 km/h.
Solve 12 +20?
Show solution
12 ÷ 20 = 0.6 (the '+' is an OCR error for '÷').
Solve 5+0.5?
Show solution
5 ÷ 0.5 = 10 (the '+' is an OCR error for '÷').
What is the fractional equivalent of 12.5%?
Show solution
12.5% = 12.5/100 = 1/8.
Atrain moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
Show solution
Let L = train length. L/8 = (L+264)/20 → 20L = 8L+2112 → L = 176 m. Speed = 176/8 = 22 m/s = 79.2 km/h.
One fourth of 15 is?
Show solution
1/4 × 15 = 15/4 = 3.75.
Amilkman adds 10 litre water in 10 litre milk. His son takes 15 litres of the milk and adds 5 litre water in it. Find out the amount of water in litres in this milk?
Show solution
Initial mix is 10 L milk + 10 L water (50% water). Son takes 15 L (7.5 L water) and adds 5 L water, leaving 5 L of original (2.5 L water) + 15 L (7.5+5 = 12.5 L water). Total water = 12.5 L.
A bridge is completed in 45 days by 105 men. How long will it take 90 men to do the same work?
Show solution
Man-days constant: 105 × 45 = 90 × d → d = 4725/90 = 52.5 days.
What fraction is exactly midway between 1/5 and 1/7?
Show solution
Midpoint = (1/5 + 1/7)/2 = (12/35)/2 = 6/35.
Arectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles of the same size. The minimum number of such tiles is?
Show solution
HCF(378, 525) cm = 21 cm. Tiles = (378 × 525)/(21 × 21) = 18 × 25 = 450.
Apperson covers distance of 125 kmin1 hour 15 minutes when travelling on car, how much distance will he travel in 25 minutes if the speed of car remain same?
Show solution
125 km in 75 min → in 25 min = 125 × 25/75 = 125/3 ≈ 41.67 km.
1.14 expressed as a per cent of 1.9 is?
Show solution
1.14 / 1.9 = 0.6 = 60%.
Ifthe cost of 50 kg of rice is Rs.9250 then find the cost of 5 kg rice?
Show solution
Rate = 9250/50 = Rs.185 per kg. 5 kg = 5 × 185 = Rs.925.
Arectangular courtyard 3.78m long and 5.25m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is?
Show solution
Same as Q92: HCF(378,525) = 21 cm, tiles = 18 × 25 = 450.
The total cost of flooring a room at Rs. 8.50 per square meter is Rs. 510. If the WHATSAPP FOR IN CLASSES NITH SIR TAUQEER length of the room is 8m, its breadth is?
Show solution
Area = 510/8.50 = 60 sq m. Breadth = 60/8 = 7.5 m.
After adding 1.5 and 2.5 the result will be?
Show solution
1.5 + 2.5 = 4.
Simplify 1.1 x 10 + (4.2 – 2) x 3.7?
Show solution
1.1 × 10 + (4.2 − 2) × 3.7 = 11 + 2.2 × 3.7 = 11 + 8.14 = 19.14.
The perimeter of square whose side is 2.5cm long is?
Show solution
Perimeter = 4 × 2.5 = 10 cm.
The outer diameter of metal pipe is 2.84 inch and the inner diameter is 1.94 inches, the thickness of the metal is?
Show solution
Total thickness on both sides = 2.84 − 1.94 = 0.9. One side = 0.45 inch.
If 213×16=3408, then1.6×21.3 is equal to?
Show solution
Move decimals: 1.6 × 21.3 = (16 × 213)/1000 = 3408/100 = 34.08.
How many kg of pure salt must be added to 30 kg of 2 solution of salt and water to increase it to a 10 solution?
Show solution
30 kg of 2% has 0.6 kg salt. Need (0.6+x)/(30+x) = 0.10 → 0.6 + x = 3 + 0.1x → 0.9x = 2.4 → x ≈ 2.6 kg.
0.25 +100 is equal to?
Show solution
0.25 ÷ 100 = 0.0025 (the '+' is an OCR error for '÷').
Two third of which number gives us 45?
Show solution
(2/3)x = 45 → x = 45 × 3/2 = 67.5.
Complete the series.1,9,25,49, _, 121?
Show solution
Series is odd squares: 1², 3², 5², 7², 9², 11² → missing = 81.
lf a History Class has 12 boys & 18 girls than boys are what fraction of the class?
Show solution
Class total = 30; boys/class = 12/30 = 2/5.
If 0.13 x p? = 13, then p equals?
Show solution
0.13 × p² = 13 → p² = 100 → p = 10.
Riya scored 72 out of 120 in her first test. After studying, she improved her score by 15%. What is her new score?
Show solution
New score = 72 × 1.15 = 82.8.
What is the result of (-0.9) – (-0.9)?
Show solution
(−0.9) − (−0.9) = −0.9 + 0.9 = 0.
If the cost of a loaf is Rs. 5.50, what is the cost of 2” loaves of bread?
Show solution
2.5 loaves × Rs.5.50 = Rs.13.75 (the 2” is an OCR'd 2.5).
0.05 is equal to which of the following fractions?
Show solution
0.05 = 5/100 = 1/20.
If 70 men completed a road in 35 days how many days will it take for 40 men to complete the same road?
Show solution
Man-days: 70 × 35 = 40 × d → d = 2450/40 = 61.25 days.
Rs.120 are divided among A, B, C such that A’s share is Rs.20 more than B’s and Rs.20 less than C’s. What is B’s share?
Show solution
A=B+20, C=A+20. A+B+C = 120 → A + (A−20) + (A+20) = 120 → 3A = 120 → A = 40, B = Rs.20.
Anindustrial loom weaves 0.128 meter of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meters of cloth?
Show solution
Time = 25 / 0.128 ≈ 195.3 ≈ 195 seconds.
Write the fraction of 5%?
Show solution
5% = 5/100 = 1/20.
Inthe first 10 over of a cricket game, the run rate was only 3.2. What should be the run rate in remaining 40 overs to reach the target 282 runs?
Show solution
Runs so far = 3.2 × 10 = 32. Remaining 282 − 32 = 250 in 40 overs → 250/40 = 6.25.
Aplayer drank 10 bottles of water in a cricket match. The capacity of each bottle is 1.5 Liter. How many liters of water the player drank?
Show solution
10 bottles × 1.5 L = 15 L.
What is the amount of Zakat a person has to pay if he has Rs. 800000 at a rate of 2.5%?
Show solution
Zakat = 2.5% of 800000 = 0.025 × 800000 = Rs.20000.
Your supervisor instructed you to purchase 240 pens and 6 staplers for the office. Pens are purchased in sets of 6 for Rs. 2.35 per pack. Staplers are purchased in sets of 2 for 12.95. How much will the purchasing of these products cost?
Show solution
Pens: 240/6 = 40 packs × 2.35 = Rs.94. Staplers: 6/2 = 3 packs × 12.95 = Rs.38.85. Total = Rs.132.85.
How many pieces of 0.85 meters can be cut from a rod 42.5 meters long?
Show solution
42.5 / 0.85 = 50 pieces.
3/1000 written as?
Show solution
3/1000 = 0.003.
Adil’s daily wage is Rs.250 after increment of 25%. What was his daily wage before increment?
Show solution
After 25% rise wage = 1.25 × original = 250 → original = 250/1.25 = Rs.200.
What fraction of a cake remains when its 2/8 part has been eaten?
Show solution
Remaining = 1 − 2/8 = 6/8 = 3/4.
Convert 1100011 from Binary to Decimal?
Show solution
1100011₂ = 64 + 32 + 2 + 1 = 99.
One Inch is equal to?
Show solution
1 inch = 2.54 cm by definition.
One yard is equal to how many meter?
Show solution
1 yard = 0.9144 m ≈ 0.914 m.
What is the amount of Zakat a person has to pay if he has Rs. 4,040,000 at a rate of 2.5%?
Show solution
2.5% of 4,040,000 = 0.025 × 4,040,000 = Rs.101,000.
Divide 3900 + 500?
Show solution
3900 ÷ 500 = 7.8 (the '+' is an OCR error for '÷').
Evaluate 48.95 – 32.006?
Show solution
48.95 − 32.006 = 16.944.
What is 0.004 x 0.5?
Show solution
0.004 × 0.5 = 0.002.
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Show solution
600 m in 5 min = 7200 m/h = 7.2 km/h.
One square foot is equal to 144 sq inches and one meter is equal to?
Show solution
1 metre ≈ 3.28 feet.
A boy saves Rs. 4.56 the first month, Rs. 3.82 second month and Rs. 5.06 the third month. How much did he save altogether?
Show solution
4.56 + 3.82 + 5.06 = Rs.13.44.
Apizza is divided into 12 slices. If 4 slices are eaten, what fraction pizza is left?
Show solution
Pizza left = (12−4)/12 = 8/12 = 2/3.
Printer A can complete a 50-page manuscript in 12 minutes. How many pages would be completed in 3 minutes?
Show solution
Rate = 50/12 pages per min. In 3 min = 50 × 3/12 = 12.5 pages.
Ahistory class has 12 boys and 18 girls. Boys are what fraction of the class?
Show solution
Boys/class = 12/30 = 2/5.
A housing society has been allotted a piece of land measuring 2550.25 Sq m. What is the side of the plot?
Show solution
Side = √2550.25 = 50.5 m (since 50.5² = 2550.25).
If an object is moving at a speed of 30 km/hour, how many meters does it travel in one second?
Show solution
30 km/h = 30000 m / 3600 s ≈ 8.33 m/s.
One pound is equal to kilogram²
Show solution
1 pound ≈ 0.454 kg.
One ounce is equal to grams?
Show solution
1 ounce ≈ 28.35 g.
The road is completed in 35 days by 70 men. How long it will take 40 men to complete the work?
Show solution
Man-days: 70 × 35 = 40 × d → d = 61.25 days.
3.29 x 1000 equals?
Show solution
3.29 × 1000 = 3290 (shift decimal three places right).
One mile is equal to how many kilometers?
Show solution
1 mile ≈ 1.609 km.
lf 2 tables and 3 chairs cost Rs.3500 and 3 tables and 2 chairs cost Rs.4000, then how much does a table cost?
Show solution
2t + 3c = 3500 and 3t + 2c = 4000. Adding: 5(t+c) = 7500 so t+c = 1500. Subtracting: t − c = 500 → t = Rs.1000.
A pineapple costs Rs.7 each. A watermelon costs Rs.5 each. X spends Rs.38 on those fruits. The number of pineapples purchased is?
Show solution
7p + 5w = 38 with whole-number solution p = 4, w = 2 (28 + 10 = 38). So 4 pineapples.
Add1/4.1/4?
Inthe first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Show solution
Runs scored 32; need 250 more in 40 overs → 6.25 run-rate.
Convert 1/10 into fraction?
Show solution
1/10 = 0.1 as decimal.
Simplify 0.001?
Show solution
0.001 = 1/1000.
0.5is equal to?
If2x-—10=5thenx—5?
Show solution
2x − 10 = 5 → x = 7.5. Then x − 5 = 2.5.
Asteel rod has a diameter of 2.25 cm Express its diameter in millimeter?
Show solution
2.25 cm × 10 = 22.5 mm.
Hamid had three times as much money as Rashid. If Hamid gives Rashid Rs.50, Rashid will then have three times as much money as Hamid. How much money do the two of them have together?
Show solution
Let Rashid = R; Hamid = 3R. After giving Rs.50: Rashid = R+50, Hamid = 3R−50. Condition R+50 = 3(3R−50) → 8R = 200 → R = 25. Total = 4R = Rs.100.
Fractions & Decimals MCQs for PPSC, FPSC, NTS & All Pakistani Competitive Exams
Fractions & Decimals is one of the most predictable topics in Pakistani competitive exam Math. From PPSC Lecturer, Sub-Inspector and Tehsildar tests to FPSC CSS Screening (MPT), NTS NAT/GAT, OTS, CTS, KPPSC, SPSC, BPSC and AJKPSC — almost every paper contains 2 to 6 fraction/decimal questions. Mastering this one topic alone can secure 3–6 marks in any One Paper format exam because the question patterns repeat verbatim across years.
QuizWing has compiled 155 verified fraction & decimal MCQs from real past papers spanning 2002–2026 — every question cross-checked by AI and answer keys verified. The bank covers fraction simplification, decimal-to-fraction conversion, ordering, addition/subtraction with mixed numbers, and word problems involving fractional parts.
What types of fraction & decimal questions appear?
- Equivalent fractions — “Express 5/8 with denominator 40” → 25/40
- Fraction simplification — divide numerator and denominator by HCF
- Decimal to fraction conversion — “0.875 as a fraction is?” → 7/8
- Fraction to decimal conversion — “3/8 as a decimal is?” → 0.375
- Ordering fractions / decimals — arrange 2/3, 5/8, 7/12 in ascending order
- Word problems — “3/5 of students are girls; rest are boys; if 1/4 of boys join art class, how many?”
Key fraction & decimal formulas
Mental-math shortcuts
- Common fraction → decimal — memorise: 1/2 = 0.5, 1/3 ≈ 0.333, 1/4 = 0.25, 1/5 = 0.2, 1/6 ≈ 0.167, 1/8 = 0.125, 1/10 = 0.1
- Reverse common decimals — 0.25 = 1/4, 0.375 = 3/8, 0.625 = 5/8, 0.75 = 3/4, 0.875 = 7/8
- Compare without LCM — cross-multiply: for a/b vs c/d, compare a × d to b × c
- Repeating decimals — 0.1̄ = 1/9, 0.0̄1 = 1/99, 0.0̄01 = 1/999
- Mixed numbers — convert to improper fraction first: 2¾ = 11/4
- Decimal multiplication shortcut — multiply as integers, count total decimal places in inputs, place point in output
How to use this page for revision
Quiz mode: Tap any option — green = correct, red = wrong. Use the pagination buttons to move between sets of 25 MCQs at a time.
PDF download: Click Download PDF in the sticky bar to grab all 155 MCQs with answers for offline study.
Mixed practice: attempt our full PPSC Mock Test with all subjects + weighted distribution to simulate the real exam.
Fractions & Decimals weightage by exam
| Exam | Typical Fraction/Decimal MCQs | Marks Share |
|---|---|---|
| PPSC One Paper | 2–4 | 3–6 |
| FPSC Screening | 3–6 | 5–9 |
| NTS NAT / GAT | 4–7 | 7–11 |
| CSS Screening (MPT) | 3–6 | 6–12 |
| OTS / CTS | 2–5 | 4–8 |
| SPSC / KPPSC / BPSC | 2–4 | 3–6 |
All MCQs sourced from official past papers of PPSC, FPSC, SPSC, KPPSC and NTS. Found a wrong answer? WhatsApp 0302-1417839 — we fix every reported issue within 24 hours.
Frequently Asked Questions
Typically 2 to 4 fraction & decimal MCQs appear in every PPSC One Paper test (Sub-Inspector, Tehsildar, Junior Clerk, Lecturer, BPS-14/16/17). FPSC, NTS and CSS papers tend to include 3–6. Mastering this topic alone secures 3–6 guaranteed marks because the patterns repeat verbatim.
Based on our analysis of 155 past-paper MCQs (2002–2026), the three most-recurring types are: (1) fraction simplification using HCF, (2) decimal-to-fraction conversion and ordering, and (3) word problems involving a fraction of a quantity (students, expenses, distances).
No. Calculators are not allowed in PPSC, FPSC, NTS, OTS or any provincial commission exam. Practise mental math shortcuts — 10%, 25%, 50% calculations should take under 5 seconds.
Yes for PPSC and FPSC — 0.25 marks deducted per wrong answer. Strategy: if you can eliminate 2 out of 4 options confidently, attempt it; otherwise leave blank.
Yes — click the Download PDF button in the sticky bar at the top of the quiz section. You get all 155 MCQs with answers in a branded QuizWing PDF, free, no signup.
Yes — 100% transferable. All provincial public service commissions follow a near-identical Math syllabus. The same fraction & decimal MCQs appear (often verbatim) in SPSC, KPPSC, BPSC, AJKPSC and NTS NAT/GAT papers.
Message us on WhatsApp at 0302-1417839 with the question number and what you believe the correct answer should be. We verify against multiple sources and fix every reported issue within 24 hours.