Maths Question For 28 May 2015

1. 3x + y = 19 , and x + 3y = 1.
Find the value of 2x + 2y

A. 20
B. 18
C. 11
D. 10
E. 5

2. The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

A. 45%
B. 40%
C. 35%
D. 32.5%
E. 30%

3. x and y are integers
x + y < 11 , and x > 6
What is the smallest possible value of x – y ?

A. 1
B. 2
C. 4
D. -2
E. -4

5. BCD is a line segment and Angle BAC = ¼ Angle ACB ; Angle ACD = ?

A. 140
B. 100
C. 120
D. 60
E. it cannot be determined from the information given

6. Which of the following integers is in the solution set of │1 – 3x│ < 5 ?

I -1
II 1
III 2

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

Maths Questions For 27 May 2015

1. What is the sum of all 3 digit numbers that leave a remainder of ‘2’ when divided by 3?

  • 897
  • 164,850
  • 164,749
  • 149,700
  • 156,720

2. The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with (m + 2)?

  1. m + 4
  2. n + 6
  3. m + 5
  4. n + 4

3. Set A contains all the even numbers between 2 and 50. Set B contains all the even numbers between 102 and 150. What is the difference between the sum of elements of set B and the sum of the elements of set A?

  1. 2500
  2. 5050
  3. 11325
  4. 6275
  5. 2550

4. In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?

  1. 11
  2. 14
  3. 12
  4. 13
  5. 10

5. If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 9, what is the common ratio of the G.P?

  1. 3
  2. 1/3
  3. 2
  4. 9
  5. 1/9