Quantitative Aptitude Prep Tips for MBA
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Let a be root of the equation 1 + x2 + x4 = 0. Then the value of a1011 + a2022 - a3033 is equal to:
Let a be root of the equation 1 + x2 + x4 = 0. Then the value of a1011 + a2022 - a3033 is equal to:
x4 + x2 + 1 = 0
x4 + 2x2 + 1 – x2 = 0
Now, =
=
= 1 + 1 – 1 = 1
There are three containers of equal capacity. The ratio of milk and water in three containers are 2 : 3, 2 : 5 and 3 : 7. If mixture of all three containers put into a large container, then what will be the ratio of milk and water in the large container?
There are three containers of equal capacity. The ratio of milk and water in three containers are 2 : 3, 2 : 5 and 3 : 7. If mixture of all three containers put into a large container, then what will be the ratio of milk and water in the large container?
Let the capacity of container be 70L (LCM of 5,7 & 10)
Now,
I container, milk = 28L
Water = 42L
II container, milk = 20L
Water = 50L
III container, milk = 21L
Water = 49L
In large container, milk = (28 + 20 + 21)
= 69L
Water = 42 + 50 + 49
= 141L
Milk :
A Car can cover a bridge in 28 minutes at the speed of 32 km/hr. If a motorcycle can cover the same bridge in 20 minutes, then what will be the speed of motorcycle?
A Car can cover a bridge in 28 minutes at the speed of 32 km/hr. If a motorcycle can cover the same bridge in 20 minutes, then what will be the speed of motorcycle?
Distance is same. So, speed will be inversely propornonel to time.
Ratio of time taken by car and motorcycle = 28 : 20
= 7 : 5
So, ratio of speed of car and motorcycle = 5 : 7
5/7 = 32/M
M = (32*7)/5 = 44.8 km/hr
10 men or 16 women can complete a work in 40 days. In how many days 40 women and 15 men together can complete the same work?
10 men or 16 women can complete a work in 40 days. In how many days 40 women and 15 men together can complete the same work?
Work done by 10 men = work done by 16 women
Work done by 15 men = work done by (16*3/2) women
=24 women
So, 40 women and 15 men = 40 women and 24 women
= 64 women
Therefore we can say
16 women will take 40 days
Hence, 64 women will take 40/4 =10 days
If P : Q = 3 : 8, Q : R = 5 : 4 and R : S = 16 : 15, then what is the ratio of P : S?
If P : Q = 3 : 8, Q : R = 5 : 4 and R : S = 16 : 15, then what is the ratio of P : S?
P/Q *Q/R * R/S = 3/8 * 5/4 * 16/15
P/S =1/2
Ratio of first, second and third number is 3 : 5 : 11 respectively. Difference between third number and first number is 1152, then what will be the sum of second and third number?
Ratio of first, second and third number is 3 : 5 : 11 respectively. Difference between third number and first number is 1152, then what will be the sum of second and third number?
11x – 3x = 8x = 1152
x = 144
(II+ III) = 5x + 11x = 16x
= 2304
A bottle is sold at a profit of 35%. If selling price of the bottle becomes three times, then what will be the profit percentage?
A bottle is sold at a profit of 35%. If selling price of the bottle becomes three times, then what will be the profit percentage?
Let CP = 100
SP = 135
Profit % = 305/100*100
= 305%
Selling price of 15 Apple is equal to cost price of 21 apple. What will be the profit percentage?
Selling price of 15 Apple is equal to cost price of 21 apple. What will be the profit percentage?
15 SP = 21 CP
SP/CP = 1.4
So, profit percentage = 40%
If diagonal of a square is increased by 60%, then what will be percentage increase in the area of the square?
If diagonal of a square is increased by 60%, then what will be percentage increase in the area of the square?
New area = 1.6*1.6* diagonal area
= 2.56* original area
So, area increased by 156%
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What is the single percentage change equivalent to two percentage decreases of 20% and 40%?
What is the single percentage change equivalent to two percentage decreases of 20% and 40%?
Net % change = – 20 – 40 + = – 52
So, 52% decrease