Aptitude & Reasonig (GMat)-2

Dear Readers,
You may find many questions that I had dealt in TCS Question series appearing here also. This is just to point out that questions do get repeated though under different categories in different papers.


 Aptitude & Reasoning (GMat)-2

1.    Frank is 15 years younger than John. In 5 years  John will be twice as old as Frank. How old will Frank be in four years?
8
10
12
14
Answer:  14
Explanation:
Frank is 15 years younger then John --> F+15=J;
In 5 years John will be twice as old as Frank (in 5 year John will be J+5 years old and Frank will be F+5 years old) --> J+5=2*(F+5) --> (F+15)+5=2*(F+5) --> F=10;
In 4 years Frank will be 10+4=14 years old.

2.    A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?
$1.10
$8.80
$11.00
$57.30
Answer:  $57.30

3.    The price of a candy bar is $1.00. The price of a ten pack of the same candy bar is $7.40. The ten packs of candy bars is what percentage cheaper than purchasing ten candy bars individually?
18%
26%
32%
48%
Answer:  26%

4.    In a certain department store, which has four sizes of a specific shirt, there are 1/3 as many small shirts as medium shirts, and 1/2 as many large shirts as small shirts. If there are as many x-large shirts as large shirts, what per cent of the shirts in the store are medium?
25%
33%
50%
60%
Answer:    60%
Explanation:
total shirts are 1 part
1/3M+m+1/6m+1/6m=1
5/3m=1      m=3/5*100      so m=60%

5.    A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what per cent of the total cost was the cost of all the shower heads?
9%
10%
11%
13%
Answer:  10%
Explanation:
Let us take the price of a shower head = Rs.10.
Then, the price of the toilet = Rs.30 (3 X 10).
Items purchased = 60 toilets and 20 shower heads
Total cost = (60 toilets * Rs.30) + (20 shower heads * Rs.10) = Rs.1800 + Rs.200 ==> Rs.2000
Total Cost = Rs.2000
Cost of Shower heads = Rs. 200       % = 10%

6.    A car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. The average speed for the entire trip was 60 mph. How many hours long is the trip?
6
8
11
12
Answer:  6
Explanation:
Start with the equation
(55(4) + 70x) / 4+x = 60
= (220 + 70x) / 4+x = 60
Multiply both sides by 4+x
220 + 70x = 240 + 60x
Which gives you
10x = 20, so x = 2.
Add this to the 4 hours and you have 6

7.    The owner of a hobby store needed to calculate the percentage of customers who purchase wood glue. Upon completing his survey, he noticed that 60% of the people that entered his store purchased an item. Of those customers, 15 per cent purchased wood glue. What per cent of the people that entered the store purchased wood glue?
7%
9%
12%
15%
Answer:   9%
Explanation:
For every 100 people entering the store, 60 purchase.
For every 60 purchasing, (15% of 60) purchase wood glue =15/100 x 60 = 9 people purchase glue.   Hence,for every 100 entering the store ..9 purchase glue.    Hence 9 %.

8.    From 7:00 AM to 11:00 AM it rained 2.25 inches. At 11:00 AM the rain increased to fall at a rate of 1.25 in. every two hours. How many inches of rain landed on the ground by 5:00 PM?
7
9.75
6
3.25
Answer:6
Explanation:
2.25 + (3 x 1.25) = 6    (This is a tricky question. On the face of it the answer 6 appears to be correct. But if you read the question carefully the following emerges. Initial rain fall upto 11.00 A.M. 2.25 inches. From 11 A.M. to 1 P.M. 1.25 inches. Now look at the question. It states the fall of rain increases by 1.25 inches every two hours. So the fall of rain from 1 P.M. to 3 P.M. is 2.5 inches and from 3 P.M. to 5 P.M. 3.75 inches. Thus the total fall of rain is the sum of all these ie 9.75 inches)

9.    A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place?
3km
2.5 km
4 km
5 km

Answer:   3km
Explanation:
Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream = (5-1)km/hr = 4 km/hr
Let the required distance be x km x/6 + x/4 = 75/60 2x+3x = 15 x = 3km

10.  A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there ?
36
114
120
50

Answer:   114
Explanation:
Let the number of 1 kg packets be x.
then the number of 2 kg packets is (150-x)
now x * 1 + (150-x) 2 = 264
=> x + 300 -2x=264
=> -x=264-300= -36
=> x=36(no. of 1 kg packets)
no. of 2 kg packets = 150 -36= 114