Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?
The seven pieces consist of 6 smaller equal pieces and one half cake piece.
Weight of each small piece = 20 g.
So, total weight of the cake
= 2 × (20 × 6)
= 240 g.
The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Let number of girls = x
and number of boys = 3x
Then, 3x + x = 4x =Total number of students.
Thus, to find exact value of x, the total number of students must be divisible by 4.
Directions: The following questions are based on the information given below :
Data on 450 candidates, who took an examination in Social Sciences, Mathematics and Science is given below :
| Passed in all the subjects | 167 |
| Failed in all the subjects | 60 |
| Failed in Social Sciences | 175 |
| Failed in Mathematics | 499 |
| Failed in Science | 191 |
| Passed in Social Sciences only | 62 |
| Passed in Mathematics only | 48 |
| Passed in Science only | 52 |
How many failed in Social Sciences only ?
Candidates failed in Social Sciences only =
(Candidates failed in Social Sciences) - (Candidates failed in all the subjects + Candidates passed in Science only + Candidates passed in Maths only)
= 175 - (60 + 52 + 48)
= 175 - 160
= 15.
Directions: The following questions are based on the information given below :
Data on 450 candidates, who took an examination in Social Sciences, Mathematics and Science is given below :
| Passed in all the subjects | 167 |
| Failed in all the subjects | 60 |
| Failed in Social Sciences | 175 |
| Failed in Mathematics | 499 |
| Failed in Science | 191 |
| Passed in Social Sciences only | 62 |
| Passed in Mathematics only | 48 |
| Passed in Science only | 52 |
How many failed in one subject only ?
Candidates failed in one subject only =
(Total number of candidates) - (Candidates passed in all the subjects + Candidates failed in all the subject + Candidates passed in one subject only)
= 450 - (167 + 60 + 62 + 48 - 52)
= 450 - 389
= 61.
Directions: The following questions are based on the information given below :
Data on 450 candidates, who took an examination in Social Sciences, Mathematics and Science is given below :
| Passed in all the subjects | 167 |
| Failed in all the subjects | 60 |
| Failed in Social Sciences | 175 |
| Failed in Mathematics | 499 |
| Failed in Science | 191 |
| Passed in Social Sciences only | 62 |
| Passed in Mathematics only | 48 |
| Passed in Science only | 52 |
How many failed in two subjects only ?
Candidates failed in two subjects only =
Candidates passed in one subject only =
62 + 48 + 52
= 162.
Directions: The following questions are based on the information given below :
Data on 450 candidates, who took an examination in Social Sciences, Mathematics and Science is given below :
| Passed in all the subjects | 167 |
| Failed in all the subjects | 60 |
| Failed in Social Sciences | 175 |
| Failed in Mathematics | 499 |
| Failed in Science | 191 |
| Passed in Social Sciences only | 62 |
| Passed in Mathematics only | 48 |
| Passed in Science only | 52 |
How many passed at least in one subject ?
Candidates passed at least in one subject =
(Candidates passed in only 1 subject) + (Candidates passed in only 2 subjects) + (Candidates passed in all the subjects)
= (Candidates failed in only 2 subjects) + (Candidates failed in only 1 subject) + (Candidates passed in all the subjects)
= 162 + 61 + 167
= 390
Directions: The following questions are based on the information given below :
Data on 450 candidates, who took an examination in Social Sciences, Mathematics and Science is given below :
| Passed in all the subjects | 167 |
| Failed in all the subjects | 60 |
| Failed in Social Sciences | 175 |
| Failed in Mathematics | 499 |
| Failed in Science | 191 |
| Passed in Social Sciences only | 62 |
| Passed in Mathematics only | 48 |
| Passed in Science only | 52 |
How many passed in Mathematics and at least one more subject ?
Candidates failed in Science only =
191 - (62 + 60 + 48)
= 21.
Candidates failed in Social Sciences only = 15
Candidates passed in Maths and at least one more subject =
(21 + 15 + 167)
= 203.