RRB ALP (Assistant Loco Pilot) Mathematics (CBT Stage 1 & Stage 2 Part A) Flashcards

24 sample cards from the Mathematics (CBT Stage 1 & Stage 2 Part A) deck

Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.

1. For the same principal, rate and 2 years, how much more is CI than SI?

   The difference for 2 years = P(R/100)^2, i.e. interest on the first year's interest.

2. What is the formula for the average (arithmetic mean) of n quantities?

   Average = (Sum of all quantities) / (Number of quantities).

3. What is the average of the first n natural numbers?

   Average = (n + 1) / 2.

4. How does the average change if every number in a set is increased by 5?

   The average also increases by 5.

5. State the basic relationship between speed, distance and time.

   Speed = Distance / Time; Distance = Speed x Time; Time = Distance / Speed.

6. How do you convert a speed from km/h to m/s?

   Multiply by 5/18. (And multiply by 18/5 to convert m/s to km/h.)

7. How long does a train of length L metres take to cross a stationary pole at speed v m/s?

   Time = L / v, because the train only needs to cover its own length.

8. How do you find the relative speed of two objects moving in opposite directions?

   Add their speeds (speed1 + speed2). For the same direction, subtract them.

9. If A can do a work in 10 days and B in 15 days, what is their combined one-day work?

   1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6, so together they finish in 6 days.

10. In time and work, what does the unitary method assume about a person's daily output?

    If a person completes a job in n days, their one-day work is 1/n of the total work (rate is constant).

11. A pipe fills a tank in 6 hours and an outlet empties it in 8 hours. What is the net fill rate per hour?

    1/6 - 1/8 = 4/24 - 3/24 = 1/24, so the tank fills in 24 hours when both are open.

12. In pipes and cisterns, how is an emptying (outlet) pipe represented in the rate equation?

    As a negative rate, because it removes water; its work is subtracted from the filling pipes' work.

13. What are the algebraic identities for (a+b)^2 and (a-b)^2?

    (a+b)^2 = a^2 + 2ab + b^2; (a-b)^2 = a^2 - 2ab + b^2.

14. State the identity for a^2 - b^2.

    a^2 - b^2 = (a + b)(a - b).

15. What is the quadratic formula for solving ax^2 + bx + c = 0?

    x = [-b +/- sqrt(b^2 - 4ac)] / (2a).

16. What are the formulas for area and perimeter of a rectangle?

    Area = length x breadth; Perimeter = 2(length + breadth).

17. What are the formulas for area and circumference of a circle?

    Area = pi x r^2; Circumference = 2 x pi x r, where r is the radius.

18. What is the formula for the area of a triangle given base and height?

    Area = (1/2) x base x height.

19. What are the formulas for the volume and total surface area of a cube of side a?

    Volume = a^3; Total Surface Area = 6a^2.

20. What is the formula for the volume of a cylinder?

    Volume = pi x r^2 x h, where r is the base radius and h is the height.

21. What is the sum of the interior angles of a triangle, and of a quadrilateral?

    Triangle = 180 degrees; Quadrilateral = 360 degrees.

22. State the Pythagoras theorem.

    In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: c^2 = a^2 + b^2.

23. Define sin, cos and tan of an angle in a right-angled triangle.

    sin = Opposite/Hypotenuse; cos = Adjacent/Hypotenuse; tan = Opposite/Adjacent.

24. How many times do the hands of a clock overlap in 12 hours, and how do you find the angle of a clock?

    The hands overlap 11 times in 12 hours. Angle between hands = |30H - 5.5M| degrees, where H = hour, M = minutes.

What this deck covers

Mathematics (CBT Stage 1 & Stage 2 Part A) flashcards FAQ