General Aptitude
Numerical Ability
Practice questions from Numerical Ability.
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IncorrectThe relationship between two variables and is given by and is shown in the figure. Find the values of p and q.
Note: The figure shown is representative.
Equation
…(i)
At
From equation
and
Option (a) is correct.
What is the value of
Option (c) is correct
In the given figure, EF and HJ are coded as 30 and 80, respectively. Which one among the given options is most appropriate for the entries marked (i) and (ii) ?
Position of & F=6
similarly, &
From given figure,
From options (c) is correct , (ii) 42
Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?
Average Scores:
Thus, , Option (a) is correct
Median Scores:
(ascending order)
(ascending order)
, option (b) is incorrect.
Range (Max-Min):
Range of
, option (c) is correct.
Also, , Option (d) is correct.
Hence, option (b) is the answer.
Spheres of unit diameter are centered at (𝑙 𝑚 𝑛) where 𝑙 𝑚 and l take every possible integer values.
The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere, x is the distance to its nearest sphere and y is the distance to its next nearest sphere. The value of is:
2
Given a sphere of unit diameter, centered at
Diameter given, however let assume radius
Distance between centres of two adjacent spheres,
The possibilities of nearest spheres: or or
Now, the next nearest sphere lies diagonally, when centre differ by or or
Option (c) is correct.
In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2.
ST is parallel to QR. Two semicircles are drawn with PS and PQ as diameters, as shown in the figure. Which one of the following statements is true about the shaded area PQS?
Note: The figure shown is representative.
The shaded area is times the area of the semicircle with the diameter PS.
The shaded area is equal to the area of the semicircle with the diameter PS.
The shaded area is times the area of the semicircle with the diameter PS.
The shaded area is times the area of the semicircle with the diameter PQ.
Given:
Diameter of smaller circle
Diameter of Large circle
Also,
Thus, shaded Area Area of circle with diameter PS.
Hence, option (a) is correct.
P and Q have been allotted a hostel room with two beds, a study table, and an almirah. is an avid bird-watcher and wants to sit at the table and watch birds outside the window. Q does not mind that as long as his bed is close to the ceiling fan.
Which one of the following arrangements suits them the most?
Bed of Q must be near the ceiling fan and the table should be placed near to the window. Only Option A satisfies this requirement.
The decimal number system uses the characters , and the octal number system uses the characters .
For example, the decimal number is expressed as in the octal number system.
The decimal number 108 in the octal number system is
To convert decimal number into any other number system we divide the number successively by new base and we write the remainder obtained at each stage in reverse order.
A shopkeeper buys shirts from a producer and sells them at profit. A customer has to pay ₹3,186.00 including taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer?
SP with tax Rs 3186
If SP without tax is Rs. X then SP with 18% tax will be
SP without tax = Rs 2700
As profit
If CP without profit is Rs. X then SP with 20% tax will be
If, for non-zero real variables , and real parameter ,
then, the ratio is
By componendo and dividendo
In the following figure,
Points AFCD create a rhombus.
The length of (in ) is
Marks to all
The chart below shows the data of the number of cars bought by Millennials and Gen X people in a country from the year 2010 to 2020 as well as the yearly fuel consumption of the country (in Million liters).
Considering the data presented in the chart, which one of the following options is true?
Increase in fuel consumption from 2010 to
Increase in fuel 10 consumption from 2015 to 2020
Hence (A) is wrong.
Increase in Millenial car buyers from
(i) 2010 to
(ii) 2015 to
Decrease in Gen X car buyers from
(i) 2010 to
(ii) 2015 to
Hence (c) is correct.
is wrong.
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left or the right direction.
If the object A (Rack) is translating towards the right direction, the correct statement among the following is
A surveyor has to measure the horizontal distance from her position to a distant reference point C. Using her position as the center, a 200 m horizontal line segment is drawn with the two endpoints A and B. Points A, B, and C are not collinear. Each of the angles and are measured as . The distance (in m) of the reference point C from her position is nearest to
Given a fair six-faced dice where the faces are labelled '1', '2', '3', '4', '5' and '6', what is the probability of getting a '1' on the first roll of the dice and a '4' on the second roll?
How many triangles are present in the given figure?
Number of smallest triangles = 8
2 smallest triangles combine to make a bigger triangle
Bigger triangles = 4
2 diagonals divide rhombus into 4 triangles & again each diagonal divides into 2 big triangles
No of triangles = 8 + 4 + 4 + 2 × 2 = 20
Which one of the following options represents the given graph?
The given graph is symmetric about origin
function is odd hence f (- x) = -f (x)
(a)
Incorrect.
(b)
Correct.
(c)
Incorrect.
(d)
Incorrect.
The digit in the unit's place of the product is
∴Unit digit follows a repeating sequence (7, 9, 3, 1, 7)
Quotient = 4, Remainder = 0
∴ Unit digit 1
∴Unit digit follows a repeating sequence (3, 9, 7 ,1, 3…)
Quotient = 249, Remainder = 3
∴ Unit digit = 7
Unit digit of product 7 × 1 = 7
A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown.
The area of the shaded region is
Area of arc
Area of
Area of shaded region
Area of semicircle - shaded region
Desired area
