11
If 1=0, 2=2, 3=6 and 4=12, which of the following shows the value of 8?
A.
B.
C.
D.
Answer & Solution
Explanation:
1x0=0, 2x1=2, 3x2=6, 4x3=12, 5x4=20, 6x5=30, similarly 8x7=56
12
If 10 people shake hands with each other for once, how many times hand shake will occur?
A.
B.
C.
D.
Answer & Solution
If 10 people are involved, the
number of ways to select 2 people from 10 to form a handshake is given by the combination
formula:
Number of handshakes=(10x9)/2=45
Alternative Solution:
9+8+7+6+5+4+3+2+1=45
When
Person-1 shakes hand with others, number of handshakes = 9
When
Person-2 shakes hand with others, number of handshakes = 8
When
Person-3 shakes hand with others, number of handshakes = 7
Thus
for Person-4, number of handshakes = 6; Person-5 = 5, Person-6 = 4, Person-7 =
3, Person-8 = 2 & Person-9 = 1.
13
If two pencils cost 12 cents, how much will 18 pencils cost?
A.
B.
C.
D.
Answer & Solution
If
2 pencils cost 12 cents, then the cost of one pencil is 12 ÷ 2 = 6 cents.
So, the cost of 18 pencils will be 18 × 6 = 108 cents.
14
A man has 4 children. Each child has 2 brothers and 2 sisters. How many children does the man have?
A.
B.
C.
D.
Answer & Solution
Each
child has 2 brothers and 2 sisters, which means there are two boys and two
girls in total. Therefore, the man has 4 children in total—2 boys and 2 girls.
15
At what time between 3:00 and 4:00 do the hands of the clock form a 90-degree angle?
A.
B.
C.
D.
Answer & Solution
To find the time when the hands of
the clock form a 90-degree angle, we use the following approach:
Minute hand of a clock moves 6° per
minute, and the hour hand moves 0.5° per minute.
We need to find when the angle
between the hands is 90 degrees.
Set up the equation:
∣6x−(90+0.5x)∣=90
Solving gives two possible values for x. One of them is approximately 27 minutes (around 3:27).
16
A man begins climbing a rope. Every minute he ascends 15 yards but slips 2 yards. How long will he take to ascend 91 yards rope?
A.
B.
C.
D.
Answer & Solution
6
minutes (for the first 76 yards) + 1 minute (for the last 15 yards as he will
touch the top) = 7 minutes.
17
Arriving at a viva voce at 11:50 am., the candidate found himself 15 minutes earlier than the other candidate who was 45 minutes late. What was the fixed time of the viva voce?
A.
B.
C.
D.
Answer & Solution
The first candidate arrived at 11:50
AM and was 15 minutes earlier than the second candidate.
This means the second candidate was
supposed to arrive at: 11:50 AM+15 minutes=12:05 PM.
So, the second candidate should have
arrived at 12:05 PM.
The second candidate was 45
minutes late. Therefore, the fixed time (the scheduled time for the viva
voce) is: 12:05 PM−45 minutes=11:20 AM. So, the fixed time of the viva
voce is 11:20 AM.
18
A man gives 20% of his salary to charity, spends 40% on rent, 25% on food, and saves the rest. If his salary is $2000, how much does he save?
A.
B.
C.
D.
Answer & Solution
Calculate total expenses: The man spends 20% + 40% + 25% = 85% of his
salary.
Calculate the percentage saved: This means he saves 100% - 85% = 15% of his salary.
Calculate the amount saved: His salary is $2000, and he saves 15%, so he saves $2000 *
0.15 = $300.
19
How much time does it take for the minute hand to overtake the hour hand after 12:00?
A.
B.
C.
D.
Answer & Solution
The minute hand moves 360° in 60 minutes, and the hour hand moves 30° in 60 minutes. The minute hand thus gains 360° - 30° = 330° per hour over the hour hand. It takes approximately 65 minutes for the minute hand to catch up with the hour hand after 12:00 (since the minute hand needs to gain 360° on the hour hand).
20
A man in a queue is numbering eighth from either end. How many men are there in the queue?
A.
B.
C.
D.
Answer & Solution
The man is 8th from both ends. So,
there are 7 people ahead and 7 people behind him, plus the man himself.
Total number of people = 7 + 1 + 7 =
15.
