1) If in a certain code 3 * 4 = 25 and 6 * 8 = 100 then what is the value of 12 * 5?
a. 144
b. 169
c. 154
d. 178
Answer
Explanation

ANSWER: 169
Explanation: Solution: In this question the pattern * represents a code.
=> 3² + 4² = 25
=> 6² + 8² = 100
=> 12² + 5² = 169


2) 5/8th of a job is completed in 10 days. If a person works at the same pace, how many days will he take to complete the job?
a. 4
b. 5
c. 6
d. 7
Answer
Explanation

ANSWER: 6
Explanation: Solution: It is given that 5/8th of the work is completed in 10 days.
=> Remaining work = 3/8th of total
Applying unitary method:
Total work will be completed in 10 * 8 / 5 days
=> It takes 16 days to complete total work
=> Hence, remaining work days = 16  10 = 6 days


3) A boat has a speed of 14kmph in standing water. The stream has a speed of 1.2kmph. What time does the boat take to go to a distance of 4864 km and come back? (hours)
a. 700
b. 350
c. 1000
d. 4200
Answer
Explanation

ANSWER: 700
Explanation: A boat travels at the speed of 14 km/hr in still water.
=> Speed of stream = 1.2 kmph
=> Speed of boat downstream becomes 14 + 1.2 = 15.2 kmph
=> Speed of boat upstream becomes 14  1.2 = 12.8 kmph
Total time taken in the journey = Journey downstream + Journey upstream
Therefore, 4864(1/12.8 + 1/15.2) = 700 hours


4) 20% of A is B, then B% of 20 is same as what?
a. 4% of A
b. 10% of A
c. 20% of A
d. None
Answer
Explanation

ANSWER: 4% of A
Explanation: It is given that B measures 20% of A
=> So, 20% of A = B or 20/100 * A = B  (1)
B% of 20= B/100 X 20= 2B/10 (2)
=> Now, B% of 20
Substituting (1) in (2) we get
2*(2A/10) / 10= 4A/100
Hence, B% of 20 = 4% of A


5) Three coins are tossed. What is the probability of getting at most two tails?
a. 7/8
b. 1/8
c. 2/8
d. 4/8
Answer
Explanation

ANSWER: 7/8
Explanation: It is given that 3 coins are tossed simultaneously.
=>Total outcomes when one coin is tossed=2
=>Total outcomes when 3 coins are tossed= 2n = 2 X 2 X 2
=8 outcomes
Favourable outcomes: TTH, THT, HTT, THH, THT,HHT,HHH=7
Therefore, Probability= 7/8


6) For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
a. 26m
b. 32m
c. 24m
d. 28m
Answer
Explanation

ANSWER: 32m
Explanation: This is a simple speed time problem. Given conditions:
=>Speed of P= 224/28 = 8m/s
=>Speed of Q=224/32 = 7m/s
=>Difference in time taken = 4 seconds
Therefore, Distance covered by P in that time= 8m/s x 4 seconds = 32 metres


7) A container has 40L milk. 4L milk is taken out and replaced with water, the process done three times. What is the amount of milk now left?
a. 28L
b. 29L
c. 29.16L
d. 28.4L
Answer
Explanation

ANSWER: 29.16L
Explanation: In regard to the problem let after n times liquid in the container is x and liquid removed is y
=>Liquid in container= x
=>Liquid removed= y
After one trial, quantity of pure liquid= x (1y/x)
After n trials quantity of pure liquid = x  (1 y/x)n
Therefore, Putting the values ( x = 40L y = 4L N=3) and solving
=> 40 (14/40)3
= 29.16L


8) The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X?
a. 15
b. 18
c. 16
d. 20
Answer
Explanation

ANSWER: 16
Explanation: According to the question let n be the number of articles.
=> Cost price of n articles = n
=> Selling price of n articles = 20
=> Profit % = 25%
=> Profit % = (SP  CP)/CP X 100
Putting the values in the formula
(20n)/n x 100 = 25
=> 5n/4 = 20
=> n = 16


9) Solve for the given equation
121 x 5^{4} =?
a. 68225
b. 75625
c. 76569
d. 45854
Answer
Explanation

ANSWER: 75625
Explanation: This question can be solved by 2 approaches:
=> Direct Multiplication
=> Numerical Operations
Direct multiplication is quite time consuming and involves a lot of calculations. An easier approach is based on numerical operations.
=> 121 x (10/2)^{4} = 121 x 10000/16 = 75625 (Lesser calculations, Saves time)


10) What should be next in the given series?
2, 7, 10, 22, 18, 37, 26
a. 42
b. 52
c. 62
d. 72
Answer
Explanation

ANSWER: 52
Explanation: This question contains two series’ running simultaneously:
=> The numbers in odd places are increasing by 8
2 + 8 = 10
10 + 8 = 18
18 + 8 = 26
=> The numbers in even places are increasing by 15
7 + 15 = 22
22 + 15 = 37
37 + 15 = 52
Therefore, Next number will be 37+15= 52


11) In a decade, a town’s population increases from 175000 to 262500. What is the average % increase of population each year?
a. 4%
b. 6%
c. 5%
d. 50%
Answer
Explanation

ANSWER: 5%
Explanation: Increase in population in 10 years= 262500175000= 87500
Now, % increase will be increase in (population /original population) * 100
=> 87500/175000*100= 50% increase in population over 10 years
Therefore, Average % increase each year= 50/10= 5%


12) How many times do the hands of the clock coincide in a day?
a. 22
b. 24
c. 20
d. 21
Answer
Explanation

ANSWER: 22
Explanation: Every hour the hour hand and minute hand coincide once.
=> Every 12 hours hands should coincide 12 times
But in 11 to 1 the clock hands coincide once only at 12
Hence, in every 12 hours hands coincide 11 times.
Therefore, In 24 hours clock hands coincide 11 x 2 = 22 times.


13) What day will be 61 days after today, if today is Monday?
a. Tuesday
b. Thursday
c. Saturday
d. Friday
Answer
Explanation

ANSWER: Saturday
Explanation: The basic concept in a problem involving days is finding the number of odd days. In 61 days:
=> 7 x 8 + 5 = 5 odd days
=> Monday + 5 days = Saturday
Hence 61 days from today will be a Saturday.


14) Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now.
a. 40 years
b. 50 years
c. 60 years
d. 70 years
Answer
Explanation

ANSWER: 50 years
Explanation: According to the question current age of the man is:
1. 125% of his age 10 years ago
2. 83.333% of his age 10 years from now
Let the current age of the man be x.
Therefore, equating the two equations generated:
125/100(x10) = 250/3(x+10)
x = 50


15) A man walks with 3kmph speed in the direction of a train. How much time will a 500m long train take to overtake him at a speed of 63kmph?
a. 42 seconds
b. 30 seconds
c. 50 seconds
d. 36 seconds
Answer
Explanation

ANSWER: 30 seconds
Explanation: Distance to be covered = 500 metres
Effective speed will be equal to difference in the speed of ma and train as they move in opposite directions.
Thus, effective speed = 63kmph3kmph= 60kmph.
60kmph is equal to 50/3 m/s.
Time = Distance/ Speed
Thus, time taken will be equal to 500/(50/3).
On solving, time = 30 seconds.
Therefore, the train will take 30 seconds to overtake the man.


16) Find the ratio of speed of truck to train if truck covers 550m in 1 minute and train covers 33 km in 45 min.
a. 4:3
b. 3:4
c. 2:1
d. 1:2
Answer
Explanation

ANSWER: 3:4
Explanation: Using the formula, speed=distance/time
Speed of truck = 550/60 m/s
Speed of train= 33000/(45*60) m/s
Ratio of speed of truck to train= (550/60 ) / [33000/(45*60)] =3:4
Hence, the ratio is 3:4


17) What investment must be made to obtain Rs 650 income from 10% stock at Rs 96?
a. 3100
b. 6240
c. 3500
d. 6000
Answer
Explanation

ANSWER: 6240
Explanation: Given market value = Rs 96
Required income = Rs 650
We assume the face value to be Rs 100.
To obtain 10% of face value, investment had to be Rs 96. So, in order to receive Rs 650, required investment is:
9.6*650=6240
Thus the investment should be Rs 6240.


18) Which is the odd number?
1, 8, 27, 64, 125, 196, 216, 343
a. 64
b. 1
c. 216
d. 196
Answer
Explanation

ANSWER: 196
Explanation: The pattern in the given question is 1^{3}, 2^{3},,3^{3}...
In the series, 196 is not a perfect cube and therefore the odd number.


19) 2 students gave an examination. One of them scored 9 marks more than other and his marks were 56% of the sum of total of both their marks. What are their individual marks?
a. 42,33
b. 42,36
c. 44,33
d. 44,36
Answer
Explanation

ANSWER: 42,33
Explanation: Let marks of one of the students be X.
The marks of the other will be X+9
According to question, X+9 = 56% of X+ (X+9)
Solving, X + 9 = 56/100* (2X + 9)
=> 25X + 225 = 28X + 126
=> 3X = 99
=> X = 33
Marks of one are 33, while of the other are 33+9 = 42.


20) What time will be taken by an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
a. 2 years
b. 1 years
c. 3 years
d. 4 years
Answer
Explanation

ANSWER: 2 years
Explanation: P= Rs 900
Rate = 4.5*
SI= Rs 81
=> SI= Time*P*rate
calculating for rate,
=> Time= SI/rate*P
= 81/4.5%*900
=> 2 years
Thus, it will take 2 years to yield Rs 81.

