Mathematical Ability Test-3

Result

Mathematical Ability Test-3

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Weekly Quiz Competition

Question 1
1 / -0

A circle with center (4, −5) is tangent to the y -axis in the standard (x,y) coordinate plane. What is the radius of this circle?

A
4

B
5

C
√41

D
16

Solution
Question 2
1 / -0

The median of the set {x + 1, x + 2, x + 3, x + 4, x + 5, x + 6}, is:

A
x + 3

B
x + 4

C
x + 3.5

D
x + 10.5

Solution

Median of 'n' observations is the value at the central position when the data is arranged in ascending or descending order.
Question 3
1 / -0

A

B

C

D

Solution
Question 4
1 / -0

A
462x

B
66x and -66x²

C
36x and -46x²

D

Solution
Question 5
1 / -0

A train running at a speed of 72 km/hr takes 25 seconds to cross an electric pole. What is the length of the train?

A
250 metres

B
750 metres

C
500 metres

D
1000 metres

Solution

Formula used:

Distance = speed × time

⇒ Speed = 20 m/sec

Distance = 20 × 25

⇒ 500 metres

∴ The length of the train is 500 metres.
Question 6
1 / -0

3 bells ring together at 7 AM. First bell rings after every 1 hour, second bell rings after every 2 hours and third bell rings after every 4 hours. At what time will they ring together?

A
8 AM

B
9 AM

C
6 PM

D
11 AM

Solution

Given

Interval of ringing 3 bells are 1 hr, 2 hrs and 4 hrs.

Here, we need to find LCM of ringing hours = LCM [ 1, 2, 4] = 4

Thus, bells ring together after 4 hours = 7 AM + 4 hours = 11 AM

∴ At 11 AM all the three bells ring together.
Question 7
1 / -0

In the expansion of (1 + ax)ⁿ, the first three terms are respectively 1,12x and 64x². What is n equal to:

A
6

B
9

C
10

D
12

Solution
Question 8
1 / -0

The mean of 8 observations is 25. The 7 observations are 30, 24, 27, 22, 18, 26, 32. What is the 8th observation?

A
20

B
21

C
22

D
23

Solution
Question 9
1 / -0

A rectangular plot is 122 m long and 88 m wide. It has a path 2 m wide all around it on the outside. Find the cost of constructing it at Rs. 2 per square meter.

A
Rs. 2117

B
Rs. 1712

C
Rs. 712

D
Rs. 856

Solution

Given:

Length of plot = 122 meters

Plot width = 88 meters

Width of path = 2 meters

Cost of construction of path = Rs 2 per square meter

Length = 122 m, Breadth = 88 m, Width = 2 m

Cost of the construction of the path = Rs 2 per sq m

Area of the rectangle = Length × breadth

Area of the path = Area of the plot including path – Area of the plot

Area of the path= (122 + 4) × (88 + 4) – 122 × 88 = 856 m2

∴ Cost of constructing = 856 × 2 is Rs 1712
Question 10
1 / -0

A set containing n elements, has exactly ___________ subsets.

A
n²

B
2ⁿ

C
n

D
n + 1

Solution

If a set containing n elements then number of elements in their subset = 2ⁿ

For a given set A, a set B is a subset of set A if all elements of set B are also elements of set A. Set A is called the super-set of set B. Null set "{ }" or "ϕ" is a subset of all sets.