Quantitative Aptitude Prep Tips for MBA
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In Rajdhani Express, there are 10 boggies which carries on an average of 20 passengers per boggie. If atleast 12 passengers were sitting in each boggie and no boggie has equal number of passenger then maximum, how many passenger can be accommodated in a boggie?
In Rajdhani Express, there are 10 boggies which carries on an average of 20 passengers per boggie. If atleast 12 passengers were sitting in each boggie and no boggie has equal number of passenger then maximum, how many passenger can be accommodated in a boggie?
Total number of passenger is the Rajdhani Express = 10 * 20 = 200
So, in the 9 boggies the minimum number of total passengers = 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 144
Hence, the minimum number of passenger in one boggie can be (200? 144) = 56
Upvote 
A, B and C can alone do a work in 15 days, 20 days and 30 days, respectively. They work together for some time after which C leaves. A total of Rs. 18000 is paid for the work and B gets Rs. 6000 more than C. For how many days did A work?
A, B and C can alone do a work in 15 days, 20 days and 30 days, respectively. They work together for some time after which C leaves. A total of Rs. 18000 is paid for the work and B gets Rs. 6000 more than C. For how many days did A work?
Let A and B work for m days and C for n days to complete the work. Therefore,
. (1)
Out of the total of Rs. 18000, B gets Rs. 6000 more than C.
i.e., . (2)
On adding Eqs. (1) and (2), we get
Upvote A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?
A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?
Let f (x) = px2 + qx + k, where p, q and k are integers, and p ≠ 0
f (0) = k = 1
f (x) = px2 + qx + 1
= px2 +qx + k (Differentiate both sides with respect to x)
f' (x) = 2px + q
For maxima or minima f' (x) = 0, x =
f (x) attains maximum at x = 1
q = − 2p
f (1) = p + q + 1 = 3
&n
Upvote For which of the following values of a and b, f(x) = a – x2 + 1 and g(x) = x2 + b + 3 and f(2) g(1) < 0 holds true.
For which of the following values of a and b, f(x) = a – x2 + 1 and g(x) = x2 + b + 3 and f(2) g(1) < 0 holds true.
f (x) = x – x2 + 1
g (x) = x2 + b + 3
f (2) g (1) < 0
(a – 4 + 1) (1 + 6 + 3) < 0
(a – 3) (b + 4) < 0
Upvote How many zeroes will be there at the end of the number N, if N = 100! + 200!?
How many zeroes will be there at the end of the number N, if N = 100! + 200!?
100! has 24 zeroes.
100! + 200! = 100! [1 + 101 * 102 * … * 200]
Which will again give 24 zeroes at the end.
Upvote A survey on a sample of 50 new cars being sold at a local auto dealer was conducted to see which of the three popular options – E1 engine, E2 engine and E3 engines were already installed. Following were the observation of the survey:
I. 30 had E1 engine
II. 4 had E1 engine and E3 engine but no E2 engine
III. 24 had E2 engine
IV. 12 had E1 engine and E2 engine but no E3 engine
V. 22 had E3 engine
VI. 8 had E2 engine and E3 engine
VII. 6 had all three options
What is the number of cars that had none of the options?
A survey on a sample of 50 new cars being sold at a local auto dealer was conducted to see which of the three popular options – E1 engine, E2 engine and E3 engines were already installed. Following were the observation of the survey:
I. 30 had E1 engine
II. 4 had E1 engine and E3 engine but no E2 engine
III. 24 had E2 engine
IV. 12 had E1 engine and E2 engine but no E3 engine
V. 22 had E3 engine
VI. 8 had E2 engine and E3 engine
VII. 6 had all three options
What is the number of cars that had none of the options?
So, cars which have atleast one options
= 8 + 4 + 10 + 12 + 2 + 4 + 6 = 46
Hence, cars with no option = 50 – 46 = 4
Upvote If P + Q + R + S = 1540 and 2P = 3Q = 4R = 5S, then what will be the difference between the values of R and S?
If P + Q + R + S = 1540 and 2P = 3Q = 4R = 5S, then what will be the difference between the values of R and S?
Let 2P = 3Q = 4R = 5S = K
Then,
K=1200
Therefore. R = 300, S = 240
Difference=300 - 240 = 60
Upvote 
Given px2 + qx + r = 0, pick out the incorrect statement from the following:
I. Roots are equal if q2 = 4pr
II. Roots are equal but opposite in sign if q = 0
III. One root is reciprocal of the other if p = r
IV. Roots are complex if q2 > 4pr
Given px2 + qx + r = 0, pick out the incorrect statement from the following:
I. Roots are equal if q2 = 4pr
II. Roots are equal but opposite in sign if q = 0
III. One root is reciprocal of the other if p = r
IV. Roots are complex if q2 > 4pr
If D < 0 roots are imaginary.
i.e. q2 – 4pr < 0 q2 < 4pr
Upvote Discriminant
So, the roots are real and irrational.
Upvote