Quantitative Aptitude Prep Tips for MBA
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400 students were supposed to go to a camp for 100 days. After 20 days, 40% of the students left the camp. If the camp had food for all of them for 100 days, for how many more days will the food last than what was initially planned?
400 students were supposed to go to a camp for 100 days. After 20 days, 40% of the students left the camp. If the camp had food for all of them for 100 days, for how many more days will the food last than what was initially planned?
400 students × 80 days = 240 students × d days
d =
The food was to last 80 more days but now it is lasting 53.33 days more.
Upvote 
Two metals A and B are to be used for making two different alloys. There are only 506 kg of A and 322 kg of B. If the ratio by weight of A to B in the first alloy is 5 : 3 and that in the second is 4 : 7, find what weight of each alloy must be produced so that no metal will be left over.
Two metals A and B are to be used for making two different alloys. There are only 506 kg of A and 322 kg of B. If the ratio by weight of A to B in the first alloy is 5 : 3 and that in the second is 4 : 7, find what weight of each alloy must be produced so that no metal will be left over.
| A | B |
I | 5x | 3x |
II | 4y | 7y |
5x + 4y = 253 …. (1)
3x + 7y = 161 …. (2)
On solving equations (1) & (2), we get
x = 49 and y = 2.
Hence, type I Alloy = 392 kg, and Type II Alloy = 22 kg
Upvote Two people start from opposite ends A and B of a corridor and move towards B and A respectively. When they meet for the first time, the respective distances covered by them is in the ratio 3 : 5 and one of them has covered 30 metres more than the other. If the speed of the person from A is 6 m/s, when will the person from B reach the end A after meeting with person from A?
Two people start from opposite ends A and B of a corridor and move towards B and A respectively. When they meet for the first time, the respective distances covered by them is in the ratio 3 : 5 and one of them has covered 30 metres more than the other. If the speed of the person from A is 6 m/s, when will the person from B reach the end A after meeting with person from A?
The distances covered by them are in the ratio 3:5 and difference is 30 m. This means 5x – 3x = 30 or 2x = 30 or x = 15 m
Therefore, the total distance covered is equal to 120 m. Their speeds are also in the ratio 3 : 5. Since the speed of the first person is 6 m/s, the speed of the second perso
Upvote Three solid metal spheres of radii 3 cm, 4 cm, 5 cm respectively, are melted together. The metal is recast as a single solid sphere. Find the percentage reduction in the area of surface resulting from this.
Three solid metal spheres of radii 3 cm, 4 cm, 5 cm respectively, are melted together. The metal is recast as a single solid sphere. Find the percentage reduction in the area of surface resulting from this.
Let R be the radius of the recast sphere
R3 = 216 R = 6
Total surface area of 3 spheres
Surface area of the recast sphere = 4π (62)=144
% reduction in area
Upvote In a geometric progression, product of 11th term, 18th term and 20th term is equal to the product of 28th term and 5th term. Which of the following is necessarily true about that geometric progression?
In a geometric progression, product of 11th term, 18th term and 20th term is equal to the product of 28th term and 5th term. Which of the following is necessarily true about that geometric progression?
ar10 * ar17 * ar19 = ar27 * ar4
a3r46 = a2r31
ar15 = 1
Upvote What kind of triangle is formed by points (4,3), (6,-2) and (-11, -3)?
What kind of triangle is formed by points (4,3), (6,-2) and (-11, -3)?
Let A (4, 3), B (6, −2), C (−11, −3) be the vertices of triangle ABC.
AB2 = (6 – 4)2 + (−2 −3)2 = 29
BC2 = (−11 −6)2 + [−3 – (−2)]2 = 290
AC2 = (−11 −4)2 + [ (−3 −3)]2 = 261
As AB2+ AC2= BC2
ABC is a right-angled triangle.
Upvote Find the equation of the line having the y-intercept equal to −3 and perpendicular to the line of equation 2x = 8 – 3y.
Find the equation of the line having the y-intercept equal to −3 and perpendicular to the line of equation 2x = 8 – 3y.
Slope of given line = perpendicular line has slope =
Now c = −3 (given)
Putting in general equation y = mx + c
2y = 3x ⇒ 3x-2y=6
Upvote The gross annual sales of a firm are Rs. 7500. The cost of materials and manufacture is 35% of the gross sales. Rent, rates and taxes amount to Rs. 772 ; advertising to Rs. 1880 ; office expenses to Rs 272 ; manager’s salary Rs. 400 plus 1% of gross sales. Find the % profit.
The gross annual sales of a firm are Rs. 7500. The cost of materials and manufacture is 35% of the gross sales. Rent, rates and taxes amount to Rs. 772 ; advertising to Rs. 1880 ; office expenses to Rs 272 ; manager’s salary Rs. 400 plus 1% of gross sales. Find the % profit.
Total expenses = (35% of 7500) + 712 + 1880 + 272 + 400 + 75 = 6024
Total receipts = 7500 Total profit = 7500 – 6024 = 1476
% profit =
Upvote Rs.1720 is divided among 45 persons consisting of men, women and children. The sum of men’s, women’s and children’s shares are as 12 : 15 : 16 but the individual shares of a man, woman & child are as 6 : 5 : 4. Find respective share of 1 man, 1 women and 1 child.
Rs.1720 is divided among 45 persons consisting of men, women and children. The sum of men’s, women’s and children’s shares are as 12 : 15 : 16 but the individual shares of a man, woman & child are as 6 : 5 : 4. Find respective share of 1 man, 1 women and 1 child.
We can see that men, women & children are in the ratio = or 2: 3: 4.Number of men, women & children = 10, 15, 20. Now if each man gets 6a, we have10 × 6a + 15 × 5a + 20 × 4a = 1720 or a = 8. So, the answers are Rs. 48, 40, 32.
Upvote Three glasses have capacity of 750 litre, 1950 litre, and 600 litres. 2046 litre of wine is poured into them so that the same fraction of each is filled. The volume filled in the largest glass will be
Three glasses have capacity of 750 litre, 1950 litre, and 600 litres. 2046 litre of wine is poured into them so that the same fraction of each is filled. The volume filled in the largest glass will be
Only possibility is if 1950 is divided by a multiple of 13, because the other glasses have a capacity that is not a multiple of 13.
Hence 1209 is the only choice.
Alternative method:
As the glasses filled by same fractions,
a + b + c = 2046
b = 1209 litres
Upvote