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What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?

Principal = 1000 Rs.Time = 4 yearsRate of interest = 10%... View Article

The difference between the two values of c is:

The difference between the two values of c is explained below.... View Article

What is the difference between identifying a parabola, ellipse, hyperbola, and a circle?

The difference between identifying a parabola, ellipse, hyperbola, and a circle is as follows.... View Article

Find the counter-example of the statement “Every natural number is either prime or composite”.

The number 1 is neither prime nor composite and is a counter example to the statement, "Every natural number is either prime or composite ".... View Article

Show that: A whole number divided by 0 is not defined. Give two suitable examples.

15 ÷ 0 is not defined. 14 ÷ 0 is not defined. The given statement, a whole number divided by zero is not defined.... View Article

The triangle, quadrilateral, pentagon are all examples of _____.

A figure that is made of straight-line segments and encloses a single area that is bounded by them is called a polygon. A few examples include... View Article

What is the y-intercept for the straight line 2x – 3y = 5?

2x - 3y = 53y = 2x - 5y = (2 / 3) x - (5 / 3)On comparing the above equation with y = mx + c where m is slope and c is y-intercept,m = 2 / 3The... View Article

In a shipment of 120 machine parts 5 percent were defective In a shipment of 80 machine parts 10 percent were defective. For the two shipments combined what percent of the machine parts were defective?

Defective parts in the shipment of 120 = 5% of 120 = (5 / 100) * 120 = 6Defective parts in the shipment of 80 = 10% of 80 = (10 / 100) * 80 =... View Article

The measures of three angles of a triangle are in the ratio 1 : 2 : 3. Then the triangle is

Angles are in the ratio = 1 : 2 : 3Let the angles be x, 2x, 3x.Sum of angles = 180x + 2x + 3x = 1806x = 180x = 30 The angles are 30, 60, 90. The... View Article

If III stands for 2, IIII for 3, and II for 1, solve the following : II – IIII + III + IIIII = ?

Using the given conditions:II - IIII + III + IIIII⇒ 1 - 3 + 2 + 4⇒ 4∴ 4 = IIIII... View Article

If 20^th September in a year is Wednesday, the number of Fridays in the same month is

20th September is Wednesday.Friday will be on 20 + 2 = 22nd SeptemberFriday will be on 22 - 7 = 15th SeptemberFriday will be on 15 - 7 = 8th... View Article

If 5 = 5, 6 = 12, 7 = 21 and 8 = 32, then 9 is equal to

5 × 1 = 5, 6 × 2 = 12, 7 × 3 = 21, 8 × 4 = 329 × 5 = 45.... View Article

Find the mode of the following numbers 6, 3, 2, 6, 5, 6 and 8.

The given numbers are 6, 3, 2, 6, 5, 6 and 8.Arrange the given numbers in increasing order: 2, 3, 5, 6, 6, 6, 8.6 is occurring 3 times in the... View Article

Which of the following have 6 flat surfaces and no curved surface? A) Prism B) Pyramid C) Cube D) Cuboid

Cube and cuboid have 6 faces which are all flat.... View Article

If l (my + nz − lx) = m (nz + lx − my) = n (lx + my − nz), prove (y + z – x) / l = (z + x – y) / m = (x + y – z) / n.

The given expression is l (my + nz − lx) = m (nz + lx − my) = n (lx + my − nz).On dividing by lmn,... View Article

The hexadecimal number system uses 16 literals (09, AF). Write down its base value.

The base value of the hexadecimal number system is 16.... View Article

Reena wants to prepare vegetable pulao. She needs 300 grams of rice. If she has to feed 4 people. How much rice is needed if the same pulao is prepared for 7 people?

Rice needed to feed 4 people = 300 gramsRice needed to feed 1 person = 300 / 4 = 75 gRice needed to feed 7 people = 7 * 75 = 525 grams... View Article

Evaluate: ∫[(sin⁶ x + cos⁶ x) / (sin² x cos² x)] dx.

The integral is evaluated as follows.... View Article

Three letters are drawn from alphabets of 26 letters without replacement. The probability that letters appear orderly is

Total number of ways 3 letters can be selected 3! = 6One out of 6 ways will be in an ordered form. P = 1 / 6... View Article

Let A = (a₁, a₂) and B = (b₁, b₂) be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between A and B?(A) √65(B) √74 (C) √83 (D) √97

Let A = (a1, a2) and B = (b1, b2) be two points in the plane with integer coordinates.... View Article