In an examination 10,000 students appeared. The result revealed the number of students who have: passed in all five subjects = 5583 passed in three subjects only = 1400 passed in two subjects only = 1200 passed in one subject only = 735 failed in English only = 75 failed in Physics only = 145 failed in Chemistry only = 140 failed in Mathematics only = 200 failed in Bio-science only = 157 The number of students passed in at least four subjects is:
6300
The phrase at least four means four or more, so with five subjects in all the required group is those who passed exactly four together with those who passed all five.
The number who passed all five is given directly as 5583.
Those who passed exactly four are not stated as such, but they can be identified from the failure data. A student who failed in exactly one subject must have passed the remaining four, so the counts of single-subject failures are precisely the counts of four-subject passes:
failed in English only = 75; failed in Physics only = 145; failed in Chemistry only = 140; failed in Mathematics only = 200; failed in Bio-science only = 157.
Adding these gives 75 + 145 + 140 + 200 + 157 = 717 students who passed exactly four subjects.
Therefore the number passing in at least four subjects is 5583 + 717 = 6300.
Note that the figures for passing in three, two and one subject only are deliberately included but are not needed here, since those students fall below the four-subject threshold. Recognising which data are irrelevant is as important as using the data that are.
Hence 6300 students passed in at least four subjects.
Important Questions from Numerical Ability
- Arrange in the correct sequence the Percentage method of recipe adjustment.
(i) Determine the total weight of the product needed.
(ii) Calculate the percentage of each ingredient in relation to total weight.
(iii) Convert all ingredients in recipe to gram unit and determine edible portion.
(iv) Check the ratio of ingredients which should be in proper balance.
(v) Multiply each percentage number by the total weight to give exact amount of the ingredient needed.
(vi) Total the weight of ingredients using edible portion.
Choose the correct answer from the code given below : - Four identical cones with base diameter of 10 cm are compactly placed inside a box in upright position. What will be the area of square (in cm2) formed by connecting tips of the cones?
How many hollow spheres having inner radius of 1 cm can be completely filled by transferring water from a completely filled hollow sphere having inner diameter of 20 cm ?
The period of a pendulum is given as T = 2 π (l/g)1/2 where g = 9.81 m/s2 and π = 3.1416. The period of a pendulum of length 1 m correct to the first place of decimal in seconds is
The sides a, b and c of a Δ ABC satisfy the equation (a – 8)2 + (b - 15)2 + (c - 17)2 = 0. Then Δ ABC is
