Quantitative Aptitude (QA) Test

Result

Quantitative Aptitude (QA) Test - 21

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
3 / -1

The average age of a group of travellers is 25 years. For a certain trip to Australia, the average age has to be a maximum of 24 years, so they included A in their group to satisfy the criteria. For a certain trip to South Africa, the average age of the group has to be a minimum of 26 years. To satisfy this, the original group (excluding A) included B in their group. What is the average of the highest possible age of A and the lowest possible age of B?

A
20 years

B
24.5 years

C
25.5 years

D
25 years

Solution

Let the number of people in the group be n

For the maximum possible age of A,

24(n+1) = 25n + A

A = 24 - n

For minimum possible age of B,

26(n+1) = 25n + B

B = n + 26

Hence, average = (24 - n + n + 26)/2 = 25 years

Option (D)
Question 2
3 / -1

A bag contains Rs. 1, 50 p and 25 p coins. The number of 25 p coins is numerically equal to the total value of all the 50 p coins (in Rs). Aso, the total amount in the bag is equivalent to one thousand 25 p coins. The number of Rs. 1 coins is 14 less than the total value of all 25 p coins(in Rs). What is the total value of all the 50 p coins as a percentage of the total amount of money present in that bag?

A
60.4 %

B
76.4 %

C
70.4 %

D
67.4 %

Solution
Question 3
3 / -1

A
a x c < b x c

B
a x c > b x c

C
a x c = b x c

D
None of these

Solution
Question 4
3 / -1

In Cracku, 60% of the enrolled students read newspaper A, 50% of the enrolled students read newspaper B, 30% of the enrolled students read newspaper C, 40% of the enrolled students read newspaper D. While a particular student may read more than one newspaper, each student must read at least one newspaper. It is known that no one reads 2 or 3 newspapers, which of the following is a possible number of enrolled students in Cracku?

A
30030

B
15015

C
20020

D
More than one of the above

Solution
Question 5
3 / -1

What is value of [g(12)]. [x] represents the greatest integer less than or equal to x

A
11

B
12

C
13

D
14

Solution
Question 6
3 / -1

If a polynomial function exists such that what is the absolute value of f(4)?

A
63

B
65

C
1/63

D
1/65

Solution
Question 7
3 / -1

Let p be sum of all the values of k which satisfy the equation:

5{k}+2 = 2[k-1]

What is the value of [2p-1]?

Here {x} denotes the fractional part of x and [x] denotes the greatest integer less than or equal to x

A
19

B
20

C
25

D
30

Solution
Question 8
3 / -1

Find the minimum value of the following function:

f(x) = max (x²- 5x + 6,x²)

A
36/25

B
25/16

C
64/25

D
81/16

Solution

f(x) = max(x² - 5x + 6,x²)

The difference between the 2 expressions is -5x + 6.

Whenever this part is greater than or equal to 0, f(x) is the first function, else, the second function.

-5x + 6 >= 0

x <= 6/5

Hence, for x <= 6/5, f(x) = x² - 5x + 6

For x > 6/5, f(x) = x²

Since they both are quadratic, they will have the same value at x = 6/5.

Also, at x < 6/5, f(x) is the left side of a U - shaped quadratic curve(part of the quadratic curve before the leftmost root)

At x >= 6/5, f(x) is the right side of a U - shaped quadratic curve (part of the quadratic curve after the rightmost root)

Hence, the minimum value of the function is at x = 6/5.

Value = x² = 36/25
Question 9
3 / -1

10 spheres of radius "R" are melted into making right cones of radius

What is approximate change in the curved surface area?

A
850.12%

B
737.11%

C
811.12%

D
911.19%

Solution
Question 10
3 / -1

2 circles of the same radius are on a 2-D plane that exists such that the centre of one circle lies on the circumference of another circle. A quadrilateral is constructed by taking the two points of intersection of the circles and their centres. What is the ratio of the area of the quadrilateral to the area of 1 circle?

A
2π : 3

B
π : 3

C
√3 : 2π

D
1 : π

Solution