Word Problem W Answers

Question 1

MMMA Entrance Exam - 50 Math and Logic Word Problems WITH ANSWERS

Question 2

Q1: If 3 workers can build a house in 10 days

Answer 2

how long would it take for 7 workers to build the same house (assuming equal efficiency)?

Question 3

A1: ~4.29 days (3 workers * 10 days = 30 worker-days; 30 / 7 ≈ 4.29)

Question 4

Q2: Train A leaves a station at 10 PM traveling at 5 km/h. Train B leaves the same station an hour later at 10 km/h. How long will it take Train B to catch up to Train A?

Question 5

A2: 2 hours (Train B gains 5 km/h

Answer 5

A has 5 km head start; 5/5 = 1 hour to catch up)

Question 6

Q3: A boat can travel 40 km downstream in 2 hours. If the speed of the current is 5 km/h

Answer 6

what is the speed of the boat in still water?

Question 7

A3: 25 km/h (Downstream = boat + current: 40/2 = 20; 20 - 5 = 15 km/h boat speed)

Question 8

Q4: A tank is filled by Pipe A in 6 hours and by Pipe B in 4 hours. How long will it take to fill the tank if both pipes are opened together?

Question 9

A4: 2.4 hours (1/6 + 1/4 = 5/12; 1 ÷ (5/12) = 12/5 = 2.4)

Question 10

Q5: If a worker earns ₱400 per day

Answer 10

how much will 5 workers earn in 8 days?

Question 11

A5: ₱16

Answer 11

000 (₱400 × 5 × 8)

Question 12

Q6: A man walks 3 km in 30 minutes. What is his speed in km/h?

Question 13

A6: 6 km/h (3 km / 0.5 hour)

Question 14

Q7: A ship travels 180 nautical miles in 12 hours. What is its average speed in knots?

Question 15

A7: 15 knots (180 ÷ 12)

Question 16

Q8: A train covers 150 km in 3 hours. If it increases its speed by 10 km/h

Answer 16

how much time will it save on the same journey?

Question 17

A8: 30 minutes saved (Old speed = 50 km/h; new = 60 km/h; time = 150/60 = 2.5 hrs; 3 - 2.5 = 0.5)

Question 18

Q9: Two ships start from the same point. One sails north at 15 km/h

Answer 18

the other east at 20 km/h. How far apart are they after 2 hours?

Question 19

A9: 50 km apart (Use Pythagorean theorem: √[(30)^2 + (40)^2] = √2500 = 50)

Question 20

Q10: A rope is cut into 5 equal parts. If the original rope is 30 meters long

Answer 20

how long is each part?

Question 21

A10: 6 meters (30 ÷ 5)

Question 22

Q11: A car travels 240 km in 4 hours. What is its speed?

Question 23

A11: 60 km/h (240 ÷ 4)

Question 24

Q12: If 5 machines can produce 100 items in 10 hours

Answer 24

how many machines are needed to produce 200 items in 5 hours?

Question 25

A12: 10 machines (100/10 = 10 items/hour; 200/5 = 40 items/hour; 40/4 = 10)

Question 26

Q13: A person walks at 6 km/h. How far will they walk in 45 minutes?

Question 27

A13: 4.5 km (0.75 hour × 6 km/h)

Question 28

Q14: A faucet leaks 1 drop every second. If 20 drops make 1 ml

Answer 28

how much water is wasted in an hour?

Question 29

A14: 180 ml (1 drop/sec × 3600 sec ÷ 20 = 180 ml)

Question 30

Q15: A train is 120 meters long and passes a pole in 6 seconds. What is the speed of the train in m/s?

Question 31

A15: 20 m/s (120 ÷ 6)

Question 32

Q16: A cyclist travels 24 km in 2 hours uphill and returns downhill in 1.5 hours. What is the average speed?

Question 33

A16: 8 km/h (Total distance: 48; total time: 3.5 hrs; 48/3.5)

Question 34

Q17: A truck covers 300 km using 25 liters of fuel. How much fuel is needed for 480 km?

Question 35

A17: 40 liters (300/25 = 12 km/liter; 480/12 = 40)

Question 36

Q18: If 4 men can paint a wall in 6 days

Answer 36

how many days will it take 3 men?

Question 37

A18: 8 days (4×6 = 24 man-days; 24/3 = 8)

Question 38

Q19: A swimming pool is filled at 10 liters per minute. How long to fill 1

Answer 38

500 liters?

Question 39

A19: 150 minutes (1500 ÷ 10)

Question 40

Q20: A person earns ₱12

Answer 40

000 monthly. What is their income for a year?

Question 41

A20: ₱144

Answer 41

000 (₱12

Question 42

Q21: John is twice as old as his brother. If the brother is 10 years old

Answer 42

how old is John?

Question 43

A21: 20 years old

Question 44

Q22: A box contains 3 red balls

Answer 44

2 blue balls

Question 45

A22: 3/10

Question 46

Q23: Find the next number in the series: 2

Answer 46

4

Question 47

A23: 32

Question 48

Q24: A man is facing north. He turns right

Answer 48

walks 10m

Question 49

A24: East

Question 50

Q25: If TODAY = 79

Answer 50

what does DAY =?

Question 51

A25: 39 (T=20

Answer 51

O=15

Question 52

Q26: If it takes 3 minutes to boil 1 egg

Answer 52

how long does it take to boil 4 eggs in the same pot?

Question 53

A26: 3 minutes (Boil all at once)

Question 54

Q27: Which number completes the sequence? 3

Answer 54

6

Question 55

A27: 12

Question 56

Q28: There are 6 apples and you take away 4. How many do you have?

Question 57

A28: 4 (You took 4)

Question 58

Q29: If a clock takes 5 seconds to strike 5

Answer 58

how long will it take to strike 9?

Question 59

A29: 8 seconds (Interval is 8 gaps = 8×1 sec)

Question 60

Q30: What is the angle between the hands of the clock at 3:15?

Question 61

A30: 7.5 degrees (Each minute = 0.5°

Answer 61

minute = 90°

Question 62

Q31: A bottle and a cap cost ₱1.10. The bottle costs ₱1 more than the cap. How much is the cap?

Question 63

A31: Cap = ₱0.05

Answer 63

Bottle = ₱1.05

Question 64

Q32: In a race

Answer 64

if you pass the person in 2nd place

Question 65

A32: 2nd place

Question 66

Q33: A farmer has 17 sheep. All but 9 run away. How many are left?

Question 67

A33: 9

Question 68

Q34: Divide 30 by 0.5 and add 10.

Question 69

A34: 70 (30 ÷ 0.5 = 60; +10)

Question 70

Q35: What 3 positive numbers give the same result when multiplied and added?

Question 71

A35: 1

Answer 71

2

Question 72

Q36: A bat and ball cost ₱1.10 in total. The bat costs ₱1 more than the ball. How much is the ball?

Question 73

A36: ₱0.05 (same as A31)

Question 74

Q37: How many 9s are there between 1 and 100?

Question 75

A37: 20 (9s appear in 9

Answer 75

19

Question 76

Q38: Which weighs more: 1 kg of feathers or 1 kg of iron?

Question 77

A38: They weigh the same

Question 78

Q39: A car's value decreases 20% every year. If it is worth ₱500

Answer 78

000 now

Question 79

A39: ₱400

Answer 79

000 (500

Question 80

Q40: A rectangular field is 50m long and 20m wide. What is its perimeter?

Question 81

A40: 140 meters (2×(50+20))

Question 82

Q41: A container holds 2.5 liters of water. How many 250 ml glasses can it fill?

Question 83

A41: 10 glasses (2.5L = 2500 ml; 2500/250)

Question 84

Q42: If a triangle’s angles are in the ratio 3:4:5

Answer 84

what are the angles?

Question 85

A42: 45°

Answer 85

60°

Question 86

Q43: A man spends 2/5 of his salary on rent. If his salary is ₱25

Answer 86

0

Question 87

A43: ₱10

Answer 87

000 (25

Question 88

Q44: An object moves at 72 km/h. What is its speed in m/s?

Question 89

A44: 20 m/s (72

Answer 89

000m ÷ 3600s)

Question 90

Q45: If x + 5 = 12

Answer 90

what is the value of x?

Question 91

A45: x = 7

Question 92

Q46: A passenger train travels 360 km in 4 hours. How much time would it take at 90 km/h?

Question 93

A46: 4 hours (360 ÷ 90)

Question 94

Q47: A rectangle has a perimeter of 100m and length of 30m. What is its width?

Question 95

A47: 20 meters ([100 - 2×30] ÷ 2)

Question 96

Q48: A family eats 3 loaves of bread every 2 days. How many loaves in 10 days?

Question 97

A48: 15 loaves (3 loaves/2 days × 10)

Question 98

Q49: A bicycle wheel turns 500 times in 10 minutes. How many times does it turn in 1 hour?

Question 99

A49: 3

Answer 99

000 (500 × 6)

Question 100

Q50: A man has 3 sons and each son has 2 sisters. How many children does he have?

Question 101

A50: 5 children (3 sons + 2 daughters)