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Aptitude Questions for HSBC

There are 128 cubes with me which are coloured according to two schemes viz.

1. 64 cubes each having two red adjacent faces and one yellow and other blue on their opposite faces while green on the rest.
2. 64 cubes each having two adjacent blue faces and one red and other green on their opposite faces, while red on the rest. They are then mixed up.
Q. No. : 1
Question :How many cubes have only one red face each?
A :
128
B :
64
C :
16
D :
None
Answer: D
Q. No. : 2
Question :What is the total number of red faces ?
A :
16
B :
64
C :
128
D :
320
Answer: D
Q. No. : 3
Question :Which two colours have the same number of faces ?
A :
Red and Yellow
B :
Blue and Green
C :
Red and Blue
D :
Red and Green
Answer: B
Q. No. :4
Question :A chord is drawn arbitrarily in a given circle.What is the probability that the length of the chord is less than or equal to the radius of the circle?
A :
0.5
B :
0.25
C :
0
D :
0.33
Answer: D
Q. No. :5
Question :If both 112 and 33 are factors of the number
a * 43 * 62 * 1311, then what is the smallest possible value of a?
A :
121

B :
3267

C :
363

D :
33
Answer: C
Q. No. :6
Question :Is y an integer?
(1) y3 is an integer
(2) 3y is an integer
A :
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question
B :
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question
C :
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D :
EACH statement ALONE is sufficient to answer the question asked.
Answer: C
Q. No. :7
Question :If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by what % should he reduce the quantity of petrol that he buys?
A :
10%

B :
12.5%

C :
8%

D :
12%
Answer: C
Q. No. :8
Question :Is ab positive?
1. (a+b)2 < (a-b)2
2. a = b
A :
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question
B :
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question
C :
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question
D :
EACH statement ALONE is sufficient to answer the question
Answer: A
Q. No. :9
Question :EACH statement ALONE is sufficient to answer the question
A :
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question
B :
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question
C :
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question
D :
EACH statement ALONE is sufficient to answer the question
Answer: A
Q. No. :10
Question :Is m divisible by 6?
1. m is divisible by 3
2. m is divisible by 4
A :
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question
B :
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question
C :
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question
D :
EACH statement ALONE is sufficient to answer the question
Answer: C
Q. No. :11
Question :If x1 , x2, x3 are the root of x^3-1=0 , then
A :
x1+x2+x3 not equal to 0
B :
x1.x2.x3 not equal to 1
C :
(x1+x2+x3)^2 = 0
D :
None of these
Answer: C
All the faces of a cube are painted with blue colour. Then it is cut into 125 small equal cubes.
Q. No. : 12
Question :How many small cubes will be formed having no face coloured ?
A :
27
B :
8
C :
16
D :
24
Answer: A
Q. No. : 13
Question :How many small cubes will be formed having only one face coloured ?
A :
8
B :
54
C :
16
D :
24
Answer: B
Q. No. :14
Question :In town of 500 people, 285 read Hindu and 212 read Indian express and 127read Times of India 20 read Hindu and times of India and 29 read hindu and Indian express and 35 read times of India and Indian express. 50 read no news paper. Then how many read only one paper?
A :
45
B :
48
C :
56
D :
12
Answer: A
In the following venn-diagrams the different shapes represent different characteristics
observe the diagram carefully and then answer the following questions
Here rectangle represents males
Triangle represents PhD
Circle represents Urban
Square represents civil servants
Q. No. : 15
Question :How many urban male civil servants are there?
A :
8
B :
26
C :
11
D :
39
Answer: A
Q. No. : 16
Question :How many female PhD are there?
A :
39
B :
11
C :
15
D :
26
Answer: C
Q. No. :17
Question : Out of forty students, there are 14 who are taking Physics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class?
A :
0.8
B :
0.6
C :
0.86
D :
0.78
Answer: B
Q. No. :18
Question :What is the value of X, if X and Y are two distinct integers and their product is 30?
(1) X is an odd integer
(2) X > Y
A :
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question
B :
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question
C :
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question
D :
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed
Answer: D
Q. No. :19
Question :Robin earns 30% more than Erica. Charles earns 60% more than Erica. How much % is the wages earned by Charles more than that earned by Robin?
A :
23%

B :
18.75%

C :
30%

D :
50%
Answer: A
Q. No. :20
Question :In a town 65% people watched the news on television , 40% read a newspaper and 25% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a news paper ?
A :
5
B :
10
C :
15
D :
20
Answer: D