A number n is such that when it is divided by 27 and 30 or 45, the remainder is always 3. Find the smallest value of...

A number n is such that when it is divided by 27 and 30 or 45, the remainder is always 3. Find the
smallest value of n.

---

---

sharon kalunda answered the question on August 9, 2019 at 12:28

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• Find the equation of the perpendicular bisector of the line AB where the coordinates of A and B are (-3, 2) and (6, 4) respectively. (Solved)
  

  Find the equation of the perpendicular bisector of the line AB where the coordinates of A and B are (-3, 2) and (6, 4) respectively.

  Date posted: August 9, 2019 .    Answers (1)

• The difference between the interior and exterior angles at each vertex of a regular polygon is 162⁰ .Find the number of sides of the polygon. (Solved)
  

  The difference between the interior and exterior angles at each vertex of a regular polygon is 162⁰ .Find the number of sides of the polygon.

  Date posted: August 9, 2019 .    Answers (1)

• Without using a calculator or mathematical tables, evaluate; (Solved)
  

  Without using a calculator or mathematical tables, evaluate;
  

  Date posted: August 9, 2019 .    Answers (1)

• Given that tan x = 2.4, evaluate without use of tables and calculators, sinx - cosx in the form of a/b where a and b are... (Solved)
  

  Given that tan x = 2.4, evaluate without use of tables and calculators, sinx - cosx in the form of a/b
  where a and b are integers.

  Date posted: August 9, 2019 .    Answers (1)

• Find the value of x in the equation (Solved)
  

  Find the value of x in the equation
  

  Date posted: August 9, 2019 .    Answers (1)

• The figure below shows a right angled triangle with AB = 12cm. ED is parallel to BA, CE = 6.3cm and ED = 8cm. (Solved)
  

  The figure below shows a right angled triangle with AB = 12cm. ED is parallel to BA, CE = 6.3cm and ED = 8cm.
  
  Given that the area of EBAD = 31.5cm², find the length of BC

  Date posted: August 9, 2019 .    Answers (1)

• The members of a photograph club decided to buy a camera worth Shs. 4000 by each contributing the same amount of money. (Solved)
  

  The members of a photograph club decided to buy a camera worth Shs. 4000 by each contributing the
  same amount of money. Fifteen member failed to pay their contribution due to various reasons. As a
  result each of the remaining members had to contribute Sh. 60 more.
  (a) Find the number of members in the club
  (b) What was the percentage increase in the contribution per month?

  Date posted: August 9, 2019 .    Answers (1)

• A particle accelerates uniformly from rest and attains a maximum velocity of 30m/s after 16 seconds. It travels at this constant velocity for the next 20... (Solved)
  

  A particle accelerates uniformly from rest and attains a maximum velocity of 30m/s after 16 seconds.
  It travels at this constant velocity for the next 20 seconds before decelerating to rest after another 8
  seconds. Calculate the total distance covered by the car.

  Date posted: August 9, 2019 .    Answers (1)

• The diagram below shows the speed-time graph for a bus travelling between two stations. The bus begins from rest and accelerates uniformly for 30 seconds. (Solved)
  

  The diagram below shows the speed-time graph for a bus travelling between two stations. The bus
  begins from rest and accelerates uniformly for 30 seconds. It then travels at a constant speed for 60
  seconds and finally decelerates uniformly for 40 seconds.
  
  
  Given that the distance between the two stations in 2090m. Calculate
  (a) The maximum speed, in km/h the bus attained
  (b) The acceleration
  (c) The distance traveled during the last 20 seconds
  (d) The time the bus takes to travel the first half of the journey

  Date posted: August 9, 2019 .    Answers (1)

• The figure below shows a rhombus PQRS with PQ = 9cm and angle SPQ=60⁰. SXQ is a circular arc;centre P. (Solved)
  

  The figure below shows a rhombus PQRS with PQ = 9cm and angle SPQ=60⁰. SXQ is a circular arc;
  centre P.
  
  Calculate the area of the shaded region correct to two decimal places. (Take pi=22/7 )

  Date posted: August 9, 2019 .    Answers (1)

• Annette has some money in two denominations only. Fifty shilling notes and twenty shilling coins. She has three times as many fifty shilling notes as twenty... (Solved)
  

  Annette has some money in two denominations only. Fifty shilling notes and twenty shilling coins.
  She has three times as many fifty shilling notes as twenty shilling coins. If altogether she has sh. 3400,
  find the number of fifty shilling notes and 20 shilling coins.

  Date posted: August 9, 2019 .    Answers (1)

• A key cutting factory starts cutting keys at the rate of 500 per hour. The rate of production reduces by 10% every 2 hours. Calculate the... (Solved)
  

  A key cutting factory starts cutting keys at the rate of 500 per hour. The rate of production reduces by
  10% every 2 hours. Calculate the numbers of keys cut in the first 6 hours.

  Date posted: August 9, 2019 .    Answers (1)

• Given that a =-2, b = -1 and c=3, evaluate (Solved)
  

  Given that a =-2, b = -1 and c=3, evaluate
  

  Date posted: August 9, 2019 .    Answers (1)

• Plot all the triangles in the grid provided and determine (Solved)
  

  
  
  Plot all the triangles in the grid provided and determine
  (i) The transformation that maps A₂B₂C₂ onto A₃B₃C₃
  (ii) The simple transformation that maps ABC onto A₃B₃C₃

  Date posted: August 9, 2019 .    Answers (1)

• Find the surface area and volume of the frustrum given below (Solved)
  

  Find
  
  
  (a) The surface area of the frustrum
  (b) The volume of frustrum shown.

  Date posted: August 9, 2019 .    Answers (1)

• The table below shows the length of 40 seedlings. (Solved)
  

  The table below shows the length of 40 seedlings.
  
  
  Determine
  (a) (i) The modal class
  (ii) The median class
  (b) (i) The mean of the seedlings
  (ii) The median of the seedlings

  Date posted: August 9, 2019 .    Answers (1)

• A business lady bought 100 quails and 80 rabbits for Sh. 25,600. (Solved)
  

  A business lady bought 100 quails and 80 rabbits for Sh. 25,600. If she had bought twice as many rabbits and half as many quails she would have paid Sh. 7,400 less. She sold each quail at a profit of 10% and each rabbit at a profit of 20%.
  
  (a) Form two equations to show how much she bought the quails and the rabbits
  (b) Find the cost of each
  (c) Calculate the profit she made from the sale of the 100 quails and 80 rabbits
  (d) What percentage profit did she make from the sale of the 100 quails and 80 rabbits

  Date posted: August 9, 2019 .    Answers (1)

• The straight line through the points D (6, 3) and E (3, -2) meets the y-axis at the point F. Determine the coordinates of F. (Solved)
  

  The straight line through the points D (6, 3) and E (3, -2) meets the y-axis at the point F. Determine
  the coordinates of F.

  Date posted: August 9, 2019 .    Answers (1)

• Solve the equation 3x² +4x=2 giving the roots correct to two decimal places (Solved)
  

  Solve the equation 3x² +4x=2 giving the roots correct to two decimal places

  Date posted: August 9, 2019 .    Answers (1)

• An expedition has 5 sections AB, BC, CD, DE and EA. B is 200m on a bearing of 050⁰ from A. C is 500m from... (Solved)
  

  An expedition has 5 sections AB, BC, CD, DE and EA. B is 200m on a bearing of 050⁰ from A. C is 500m from B. The bearing of B from C is 300⁰. D is 400m on a bearing 230⁰ from C. E is 250m on a bearing 025⁰ from D.
  
  (a) Sketch the route
  (b) Use the scale of 1cm to 50m to draw the accurate diagram representing the route.
  (c) Use your diagram to determine
  (i) Distance in metres of A from E
  (ii) Bearing of E from A

  Date posted: August 9, 2019 .    Answers (1)