General Aptitude
Numerical ability
Practice questions from Numerical ability.
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IncorrectHad I learnt acting as a child, I __________ a famous film star.
Select the most appropriate option to complete the above sentence.
The correct answer is (d) could have been.
Reason: The sentence expresses a hypothetical situation in the past (learning acting as a child), which did not actually happen.
To convey this, the past perfect conditional form "could have been" is used. It indicates a possibility that could have occurred under different circumstances.
The 12 musical notes are given as , and . Frequency of each note is times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes and is:
2
12 Musical Notes: and B.
Frequency of Note First Term,
Common ratio,
Note term,
Note term.,
Hence, option (b) is correct.
The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:
Note: The figures shown are representative.
Iteration 0:
Length after iteration segment .
Iteration-1:
length of each segment .
Total length after Iteration-1 (5 segments)
Iteration-2:
Length of each segment .
Total length after iteration-2 = (25 segments)
Thus; segment formed is:
Length after iteration
Option (b) is correct.
Which one of the following plots represents , where is a nonzero real number?
Note: The figures shown are representative.
Given:
Option (a) is correct.
A stick of length one meter is broken at two locations at distances of and from the origin (0), as shown in the figure. Note that . Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
Note: All lengths are in meter. The figure shown is representative.
Three sides of triangles:
Necessary conditions for forming a triangle:
(1)
(2)
(3)
From options, (d) is incorrect condition and thus, correct answer.
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the round, student behind leaves the game. After round, student behind Q leaves the game. After round, student behind leaves the game. After round, student behind leaves the game. Who all are left in the game after the round?
Note: The figure shown is representative.
After round: S leaves { they are moving clockwise, move anti-clockwise to go backwards}
After round:
After round: R leaves, Similarly
After 1round: student behind U leaves,
But U left after round 2.
Question is incorrect, hence MTA.
The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?
Total No. of Medals Won:
From above, given statements in option (a) and (b) is true.
Thus, statement in option (c) is incorrect.
No. of awards won by Canada
No. of awards won by Japan
Awards (Canada) (Japan)
Thus, statement in option (d) is correct.
Hence, option (c) is only incorrect and is the answer.
An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20% of the consulting fee, if the fee is up to
₹ 5,00,000. For higher fees, the overhead is ₹ 1,00,000 plus 10% of the amount by which the fee exceeds ₹ 5,00,000. The government charges a Goods and Services Tax of 18% on the total amount (the consulting fee plus the overhead). An employee of the organization charges this entire amount, i.e., the consulting fee, overhead, and tax, to the client. If the client cannot pay more than ₹ 10,00,000, what is the maximum consulting fee that the employee can charge?
Let consultation fee
Total amount paid by client
Given that the client can only pay
Hence, option (b) is correct.
P, Q, R, S, and T have launched a new startup. Two of them are siblings. The office of the startup has just three rooms. All of them agree that the siblings should not share the same room. If S and Q are single children, and the room allocations shown below are acceptable to all,
then, which one of the given options is the siblings?
Since S and Q are single children, two out of P, R and T must be siblings. Since P and T never share the same room in both the allocations shown, hence they are siblings.
Five years ago, the ratio of Aman’s age to his father’s age was 1:4, and five years from now, the ratio will be 2:5. What was his father’s age when Aman was born?
Let 5 year ago,
Son age → x
Father age → 4x
after 5 years from now that is 10 years after our initial assumption,
Father’s age when son was born
=4x-x=3x=30
For a real number
The value of is
The greatest prime factor of is
Four identical cylindrical chalk-sticks, each of radius and length are bound tightly together using a duct tape as shown in the following figure.
The width of the duct tape is equal to the length of the chalk-stick. The area of the duct tape required to wrap the bundle of chalk-sticks once, is
Width of duct tape
The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023.
Based on the data provided, which one of the following options is INCORRECT?
The ratio of the percentage of population falling into obese category to the percentage of population falling into normal category
2003: 15%/50% = 0.3
2023: 25%/30% = 0.833
Examples of mirror and water reflections are shown in the figures below:
An object appears as the following image after first reflecting in a mirror and then reflecting on water.
The original object is
Two identical sheets A and B, of dimensions 24 cm × 16 cm, can be folded into half using two distinct operations, FO1 or FO2.
In FO1, the axis of folding remains parallel to the initial long edge, and in FO2, the axis of folding remains parallel to the initial short edge.
If sheet A is folded twice using FO1, and sheet B is folded twice using FO2, the ratio of the perimeters of the final shapes of A and B is
Case 1: Folding twice along axis parallel to initial long edge
Initial dimension:
Case 2: Folding twice along axis parallel to initial short edge
What is the smallest number with distinct digits whose digits add up to 45 ?
From all the given options a ,d are rejected as they have repeated terms.
From B,C. Option C is having the smallest digits in number.
The digits should be distinct and the smallest number is 123456789.
In a class of 100 students,
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
Using set theory, total variables are 2
Let students who like Romantic Movies .
Students who like Comedy Movies .
Given
Also, 30 students do not like Romantic and Comedy Movies both.
How many rectangles are present in the given figure?
4 are small squares 4 are rectangles, 2 are big Squares.
Number of rectangles =10 as square is also called as rectangle.
Which one of the following options represents the given graph?
As the graph is symmetrical about the y-axis
so it's an even function
From options B, C, D are odd functions only option a is even function.
(a) is correct option
Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:
(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.
(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.
Given this strategy, no more than ________testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.
To understand why the answer is 700, we need to break down the testing process and calculate the maximum number of tests required.
Step (i): Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.
To group 1000 individuals into sets of 5, we need sets.
Step (ii): Mix the samples within each set and test the mixed sample for covid.
We will test 200 mixed samples, each containing 5 individual samples. If all 5 individuals in a set are negative, we can declare all 5 individuals as negative without further testing. If any of the 5 individuals in a set are positive, we move to step (iv).
Step (iii): If the test done in (ii) gives a negative result, then declare all 5 individuals to be covid negative. If all 5 individuals in a set are negative, we can declare all 5 individuals as negative without further testing. Therefore, we do not need any additional tests for that set.
Step (iv): If the test done in (ii) gives a positive result, all 5 individuals are separately tested for covid.
If any of the 5 individuals in a set are positive, we must test each separately.
Therefore, we need 5 additional tests for that set. So, the maximum number of tests required to identify all 100 covid positive individuals is: 200 (mixed sample tests) (individual tests for positive sets) tests
Therefore, no more than 700 testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped."
rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions .
The total number of creases visible when the sheet is unfolded is ________.
Creases is the mark of folding the Paper. when the Paper is folded 2 time 2 creases will be there.
When it is folded 3 times 4 creases will be shown so a Pattern is formed
After folding 5 times
