General Aptitude
Question 1 
What will be the maximum sum of 44, 42, 40, ...... ?
502  
504  
506  
500 
Discuss it
Question 1 Explanation:
This is a decreasing arithmetic progression with absolute difference as 2. The series is 44, 42, 40 ...... 0, 2, 4......
The sum would be maximum if we consider the series till 0 or 2.
So sum would be 506 using the AP Sum formula given here
Question 2 
7  
8  
9  
10 
Discuss it
Question 2 Explanation:
The Series can be rewritten as
(√2√1)/(√2+√1)(√2√1) + (√3√2)/(√2+√2)(√3√2) + ..........
which simplifies to
(√2√1) + (√3√2) + ..... (√81√80)
which again simplifies to
√81  √1
which is 8
Question 3 
A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average speed of the tourist in km/h during his entire journey is
36  
30  
24  
18 
Discuss it
Question 3 Explanation:
Let total distance be D
Total Time = D(1/2*60 + 1/4*30 + 1/4*10) = D/24
Average Speed = Total distance / Total time = 24
Question 4 
Consider the following logical inferences.
I1: If it rains then the cricket match will not be played.
The cricket match was played.
Inference: There was no rain.
I2: If it rains then the cricket match will not be played.
It did not rain.
Inference: The cricket match was played.
Which of the following is TRUE?
Both I1 and I2 are correct inferences  
I1 is correct but I2 is not a correct inference  
I1 is not correct but I2 is a correct inference  
Both I1 and I2 are not correct inferences 
Discuss it
Question 4 Explanation:
The cricket match may not be played even if doesn't rain.
Question 5 
The cost function for a product in a firm is given by 5q^{2}, where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is
5  
10  
15  
25 
Discuss it
Question 5 Explanation:
Profit = Price  Cost = 50q  5q^{2} The above function will be maximum for the values on which its first derivative becomes 0. 50  10*q = 0 50 = 10 * q q = 5. The value of above expression is maximum at q = 5.
Question 6 
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x – 0.1x^{2} where y is the height of the arch in meters. The maximum possible height of the arch is
8 meters  
10 meters  
12 meters  
14 meters 
Discuss it
Question 6 Explanation:
y = 2x – 0.1x^{2}
dy/dx = 2  0.2x
So the value maximizes at 2  0.2x = 0
=> x = 10
=> y = 20  10 = 10 meters
Question 7 
An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
0.288  
0.334  
0.667  
0.720 
Discuss it
Question 7 Explanation:
Probability that the absorber is reliable = 0.96*0.6 + 0.72*0.4 = 0.576 + 0.288 Probability that the absorber is from y and reliable = (Probability that is made by Y) X (Probability that it is reliable) = 0.4 * 0.72 = 0.288 The probability that randomly picked reliable absorber is from y = (Probability that the absorber is from y and reliable) / (>Probability that the absorber is reliable ) = (0.288)/ (0.576 + 0.288) = 0.334
Question 8 
Which of the following assertions are CORRECT?
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
P, Q  
Q, R  
P, R  
R, S 
Discuss it
Question 8 Explanation:
Mean is average.
Let us consider below example These eight data points have the mean (average) of 5: When we add 7 to all numbers, mean becomes 12 so P is TRUE. If we double all numbers mean becomes double, so R is also TRUE. Standard Deviation is square root of variance. Variance is sum of squares of differences between all numbers and means. Deviation for above example First, calculate the deviations of each data point from the mean, and square the result of each: If we add 7 to all numbers, standard deviation won't change as 7 is added to mean also. So Q is FALSE. If we double all entries, standard deviation also becomes double. So S is false.References: https://en.wikipedia.org/wiki/Standard_deviation http://staff.argyll.epsb.ca/jreed/math30p/statistics/standardDeviation.htm
Question 9 
Given the sequence of terms, AD CG FK JP, the next term is
OV  
OW  
PV  
PW 
Discuss it
Question 9 Explanation:
A2D

1

C3G

2

F4K

3

J5P

4

O6V
Hence, the next term will be OV .
Question 10 
If Log(P) = (1/2)Log(Q) = (1/3)Log(R), then which of the following options is TRUE?
P^{2} = Q^{3}R^{2}  
Q^{2} = PR  
Q^{2} = R^{3}P^{2}  
R = P^{2}Q^{2} 
Discuss it
Question 10 Explanation:
It is given that Log(P) = (1/2)Log(Q) = (1/3)Log(R) Let Log(P) = (1/2)Log(Q) = (1/3)Log(R) = C Let the base of log be B P = B^{C} Q = B^{2C} R = B^{3C} Which means Q^{2} = PR
There are 116 questions to complete.