Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Chellamal's age is a multiple of 6. Next year, her age will be a multiple of 7. Answer:_______________ |
| 2) Swathi's age is a multiple of 4. Three years' later, her age will be a multiple of 7. If Swathi is more than 20 years old and less than 50 years old, what is her youngest possible age in 4 years' time Answer:_______________ |
| 3) Keerthi's age is a multiple of 3. Five years' later, her age will be a multiple of 8.
Answer:_______________ |
| 4) Poovazhagi's age is a multiple of 7. Next year, her age will be a multiple of 8. Answer:_______________ |
| 5) Thamarai's age is a multiple of 4. Three years' later, her age will be a multiple of 7. If Thamarai is more than 20 years old and less than 50 years old, what is her youngest possible age in 4 years' time Answer:_______________ |
| 6) Jeevini's age is a multiple of 3. Five years' later, her age will be a multiple of 8.
Answer:_______________ |
| 7) Selvanayaki's age is a multiple of 6. Next year, her age will be a multiple of 7. Answer:_______________ |
| 8) Panimalar's age is a multiple of 5. Three years' later, her age will be a multiple of 8. If Panimalar is more than 20 years old and less than 50 years old, what is her youngest possible age in 4 years' time Answer:_______________ |
| 9) Tulasi's age is a multiple of 3. Five years' later, her age will be a multiple of 8.
Answer:_______________ |
| 10) Panimalar's age is a multiple of 6. Next year, her age will be a multiple of 7. Answer:_______________ |
| 1) Chellamal's age is a multiple of 6. Next year, her age will be a multiple of 7. SOLUTION 1 : Step 1: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 Step 2: Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63 Step 3: Multiples of 7 minus 1 year: 6, 13, 20, 27, 34, 41, 48, 55, 62 Step 4: In 5 years' time, her age will be: 48 + 5 = 53 |
| 2) Swathi's age is a multiple of 4. Three years' later, her age will be a multiple of 7. If Swathi is more than 20 years old and less than 50 years old, what is her youngest possible age in 4 years' time SOLUTION 1 : Step 1: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36 Step 2: Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63 Step 3: Multiples of 7 minus 3 years: 4, 11, 18, 25, 32, 39, 46, 53 Step 4: In 4 years' time, her age will be: 32 + 4 = 36 |
| 3) Keerthi's age is a multiple of 3. Five years' later, her age will be a multiple of 8.
SOLUTION 1 : Step 1: Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 Step 2: Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72 Step 3: Multiples of 8 minus 5 years: 3, 11, 19, 27, 35, 43, 51, 59 Step 4: In 7 years' time, her age will be: 27 + 7 = 34 |
| 4) Poovazhagi's age is a multiple of 7. Next year, her age will be a multiple of 8. SOLUTION 1 : Step 1: Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84 Step 2: Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72 Step 3: Multiples of 8 minus 1 year: 7, 15, 23, 31, 39, 47, 55, 63, 71 Step 4: In 5 years' time, her age will be: 63 + 5 = 68 |
| 5) Thamarai's age is a multiple of 4. Three years' later, her age will be a multiple of 7. If Thamarai is more than 20 years old and less than 50 years old, what is her youngest possible age in 4 years' time SOLUTION 1 : Step 1: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36 Step 2: Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63 Step 3: Multiples of 7 minus 3 years: 4, 11, 18, 25, 32, 39, 46, 53 Step 4: In 4 years' time, her age will be: 32 + 4 = 36 |
| 6) Jeevini's age is a multiple of 3. Five years' later, her age will be a multiple of 8.
SOLUTION 1 : Step 1: Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 Step 2: Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72 Step 3: Multiples of 8 minus 5 years: 3, 11, 19, 27, 35, 43, 51, 59 Step 4: In 7 years' time, her age will be: 27 + 7 = 34 |
| 7) Selvanayaki's age is a multiple of 6. Next year, her age will be a multiple of 7. SOLUTION 1 : Step 1: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 Step 2: Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63 Step 3: Multiples of 7 minus 1 year: 6, 13, 20, 27, 34, 41, 48, 55, 62 Step 4: In 5 years' time, her age will be: 48 + 5 = 53 |
| 8) Panimalar's age is a multiple of 5. Three years' later, her age will be a multiple of 8. If Panimalar is more than 20 years old and less than 50 years old, what is her youngest possible age in 4 years' time SOLUTION 1 : Step 1: Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45 Step 2: Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72 Step 3: Multiples of 8 minus 3 years: 5, 13, 21, 29, 37, 45, 53, 61 Step 4: In 4 years' time, her age will be: 45 + 4 = 49 |
| 9) Tulasi's age is a multiple of 3. Five years' later, her age will be a multiple of 8.
SOLUTION 1 : Step 1: Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 Step 2: Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72 Step 3: Multiples of 8 minus 5 years: 3, 11, 19, 27, 35, 43, 51, 59 Step 4: In 7 years' time, her age will be: 27 + 7 = 34 |
| 10) Panimalar's age is a multiple of 6. Next year, her age will be a multiple of 7. SOLUTION 1 : Step 1: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 Step 2: Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63 Step 3: Multiples of 7 minus 1 year: 6, 13, 20, 27, 34, 41, 48, 55, 62 Step 4: In 5 years' time, her age will be: 48 + 5 = 53 |