General Aptitude Test 5

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General Aptitude Test 5

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Weekly Quiz Competition

Question 1
1 / -0

If F = 7, H = 343, J = 16807 then I + G = _______.

A
2448

B
2449

C
2450

D
2451

Solution

7
?
343
?
1607
F
G
H
I
J
7¹ = 3
7² = 49
7³ = 343
7⁴ = 2401
7⁵ = 16807

I + G = 49 + 2401 = 2450
Question 2
1 / -0

A shaving set company sells 4 different type of razors. Elegance, Smooth, Soft and Exceutive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year.
Quarter/Product
Elegance
Smooth
Soft
Executive
Q1
27300
20009
17602
9999
Q2
25222
19392
18445
8942
Q3
28976
22429
19544
10234
Q4
21012
18229
16595
10109

Which product contributes the greatest fraction to the revenue of the company in that year?

A
Elegance

B
Executive

C
Smooth

D
Soft

Solution

Quarter/Product
Elegance
Smooth
Soft
Executive
Q1
27300
20009
17602
9999
Q2
25222
19392
18445
8942
Q3
28976
22429
19544
10234
Q4
21012
18229
16595
10109
Total Sale
102510
80059
72186
39284
Total revenue
4920480
5043717
5630508
6796132

From the revenue numbers it is clear that the maximum revenue is by sale of executive type razor.
Question 3
1 / -0

If a prime number on division by 4 gives a remainder of 1, then that number can be expressed as

A
sum of squares of two natural numbers

B
sum of cubes of two natural numbers

C
sum of square roots of two natural numbers

D
sum of cube roots of two natural numbers

Solution

A prime number on division by 4 gives a remainder of 1
Let the prime number is x.
Now, we can express the number as
x = 4n + 1
Let us consider the prime numbers that satisfies the above equation i.e. x = 5, 13, 17, 29, 37, 41, 53, …
x = 5 = 1² + 2²
x = 13 = 2² + 3²
x = 17 = 1² + 4²
x = 29 = 2² + 5²
x = 37 = 1² + 6²
x = 41 = 4² + 5²
x = 53 = 2² + 7²
Therefore, x can be expressed as the sum of squares of two natural numbers.
Question 4
1 / -0

In a school, 60% of students play cricket. A student who does not play cricket, plays football. Every football player has got a two-wheeler. Which of the following conclusions cannot be drawn from the above data?
1. 60% of the students do not have two-wheelers
2. No cricketer has a two-wheeler
3. Cricket players do not play football
Select the correct answer using the code given below:

A
1 and 2 only

B
2 and 3 only

C
1 and 3 only

D
1, 2 and 3

Solution

In a school, 60% of students play cricket.
A student who does not play cricket, plays football.
Every football player has got a two-wheeler.
1. 60% of the students do not have two-wheelers: Every football player has got a two-wheeler. It doesn’t mean that the students who play cricket don’t have two-wheelers. So, it is not definitely true.
2. No cricketer has a two-wheeler: Every football player has got a two-wheeler. It doesn’t mean that the students who play cricket don’t have two-wheelers. So, it is not definitely true.
3. Cricket players do not play football: In a school, 60 % of students play cricket. A student who does not play cricket, plays football. But there is no information about whether the students playing cricket plays football or not. So, it is not definitely true.
So, we cannot draw any conclusion from the given data.
Question 5
1 / -0

A traveller to the town reaches a crossroad. Upon asking residents A, B and C for directions to a certain destination, he gets the following responses.
A: turn left
B: do not turn left
C: go straight
If only one among A, B and C is truthful, the traveller

A
should go left

B
should go straight

C
should go right

D
will not be able to decide between going left or right

Solution

Given that only one among A, B and C is truthful.
Case 1: A is truthful
A: turn left → it means we need to turn left
B: do not turn left → it means we need to turn left
C: go straight → it means we need to turn left or right
Conclusion: A is truthful, and we need to turn left
Case 2: B is truthful
A: turn left → it means we need to turn right or go straight
B: do not turn left → it means we need to turn right or go straight
C: go straight → it means we need to turn left or right
Conclusion: B is truthful, and we need to turn right
Case 3: C is truthful
A: turn left → it means we need to turn right or go straight
B: do not turn left → it means we need to turn left
C: go straight → it means we need to go straight
Conclusion: The statements are contradicting each other and hence the C is not truthful.
Final conclusion: As it satisfies first two cases, he will not be able to decide between going left or right.

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Re-Attempt Weekly Quiz Competition

7	?	343	?	1607
F	G	H	I	J
7¹ = 3	7² = 49	7³ = 343	7⁴ = 2401	7⁵ = 16807

Quarter/Product	Elegance	Smooth	Soft	Executive
Q1	27300	20009	17602	9999
Q2	25222	19392	18445	8942
Q3	28976	22429	19544	10234
Q4	21012	18229	16595	10109

General Aptitude Test 5

Result

General Aptitude Test 5

Score

-

Rank

-

SHARING IS CARING

Question 1

2448

2449

2450

2451

Solution

Question 2

Elegance

Executive

Smooth

Soft

Solution

Question 3

sum of squares of two natural numbers

sum of cubes of two natural numbers

sum of square roots of two natural numbers

sum of cube roots of two natural numbers

Solution

Question 4

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

Solution

Question 5

should go left

should go straight

should go right

will not be able to decide between going left or right

Solution

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