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Basic Mathematics and Algebra Quiz

Test your understanding of basic mathematical concepts including algebraic equations, fractions, ratios, averages, and geometry problems.

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

What is the value of X, so that X + 1/2 is a negative integer?

  1. X = 1/2
  2. X = - 1/2
  3. X = - 3/2
  4. X = 3/2
  5. None of these
Question 2 Multiple Choice (Single Answer)

Three boys solve a question in 8/9 hr. First boy and second boy solves 1/3th part and 1/6th part of the problem in 1/6 hr and 2/3 hr respectively. What is the fraction of the problem and the time left for the third student to solve the complete question?

  1. 1/2th part, 1/18 hr
  2. 1/3th part, 1/36 hr
  3. 1/4th part, 1/9 hr
  4. 1/7th part, 1/27 hr
  5. None of these
Question 3 Multiple Choice (Single Answer)

One-fourth of a number when added to two-third of a number gives 3. Which of the following equations represents it correctly?

  1. 2/8X + 8/12X = 3
  2. 2/4X + 4/8X = 3
  3. 1/4X + 3/2X = 3
  4. 3/4X + 6/3X = 12
  5. None of these
Question 4 Multiple Choice (Single Answer)

Rs. 36 is to be given in the ratio 2 : 3 : 4 to Ram, Shyam and Sita. How much money does Sita get?

  1. Rs. 12
  2. Rs. 16
  3. Rs. 9
  4. Rs. 8
  5. None of these
Question 5 Multiple Choice (Single Answer)

If the solution of the equation 3X - 6 = 9 is K and the solution of the equation 4Y - 2 = 10 is L. Then what is the value of (K + L)/(K - L)?

  1. 8
  2. 4
  3. 9
  4. - 4
  5. None of these
Question 6 Multiple Choice (Single Answer)

Score obtained by students in a particular test is 25, 35, 30, 15, X. If the average score of the class is 30, then find the value of K in the equation X + 5 = 50 K.

  1. K = 2/5
  2. K = - 4/5
  3. K = 19/10
  4. K = 1
  5. None of these
Question 7 Multiple Choice (Single Answer)

If the perimeter of an equilateral triangle is 18 cm and the side of a square is equal to the side of the given equilateral triangle. Then what is the perimeter of the rectangle whose length is equal to the diagonal of the square and the breadth is equal to side of the equlilateral triangle.

  1. 12(1 + 1.732) cm
  2. 6(1 + 1.732) cm
  3. 6(1 + 1.414) cm
  4. 12(1 + 1.414) cm
  5. None of these
Question 8 Multiple Choice (Single Answer)

Let K be the solution of the equation 2/3X + 1/8 = 5/6 and L be the solution of the equation 3/5Y + 2/7 = 3/4.

Value of K/L is

  1. 260/357
  2. 26/35
  3. 35/26
  4. 21/20
  5. None of these
Question 9 Multiple Choice (Single Answer)

Let K be the solution of the equation 2/3X + 1/8 = 5/6 and L be the solution of the equation 3/5Y + 2/7 = 3/4.

The value of (K + L)/(K - L) is

  1. 2468/388
  2. 388/2468
  3. 288/2468
  4. 2468/288
  5. None of these
Question 10 Multiple Choice (Single Answer)

Consider the algebraic expression 3X2Y + 4XY2 + 6XY + 8X3 + 10Y4 + 25. The coefficient of X3, Y2X, X2Y2 and X2Y are respectively

  1. 8, 4, 0, 3
  2. 4, 8, 0, 3
  3. 0, 3, 4, 8
  4. 4, 0, 3, 8
  5. None of these
Question 11 Multiple Choice (Single Answer)

A boy can swim at 7 km/hr in still water, if the stream flows at 4 km/hr then choose correct option.

  1. Boy will swim 3 km upstream in 1/2 hr.
  2. Boy will swim 6 km upstream in 2 hr.
  3. Boy will swim 5 km upstream in 5/4 hr.
  4. Boy will swim 7 km upstream in 7/6 hr.
  5. None of these
Question 12 Multiple Choice (Single Answer)

Let K be the solution of the equation 2/3X + 1/8 = 5/6 and L be the solution of the equation 3/5Y + 2/7 = 3/4.

Let KXL + K(K + L) = Z, then value of Z is

  1. 21/25
  2. 1105/1344 + 41956/21504
  3. 25/21
  4. 2144/2456
  5. None of these
Question 13 Multiple Choice (Single Answer)
         
Name Ram Shyam Gita Sita Rahul
Score 36 16 15 X 13

Consider the above chart. If the average score obtained by the students in the class is 20, then the solution of K in the equation of 2X - 20 = 20K is.

  1. K = - 3
  2. K = - 1
  3. K = 1
  4. K = 0
  5. None of these
Question 14 Multiple Choice (Single Answer)

In the expression X4 - 10X3 + 35X2 - 50X + 24. If K, L, M and N are its roots, then the value of K + L + M + N is

  1. 11
  2. 12
  3. 13
  4. 10
  5. None of these
Question 15 Multiple Choice (Single Answer)

Suppose P = (3X + 2Y) and Q = (3X - 2Y). Then value of P(P + Q) + Q (P - Q) and coefficient of XY respectively is

  1. 10X2 - 8Y2 + 24XY and 24
  2. 18X2 - 8Y2 + 24XY and 24
  3. 18X2 - 8Y2 + 24XY and 18
  4. 18X2 - 8Y2 + 10XY and 18
  5. None of these

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