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Free CA Quantitative Aptitude Practice Questions & Answers
500 exam-style Quantitative Aptitude questions. Pick your answer, hit Check answer, and see the worked solution — free to start, no signup.
100% free · No login to startQuestion 271
In a row of 20 children, Rita is 7th from the left. If she exchanges places with a child who is 12th from the left, Rita's new position from the RIGHT is:
Select an option first.
Correct answer: A — 9th
Explanation: After the exchange Rita occupies the 12th position from the left. Counting from the right, that is 20 - 12 + 1 = 9th. Her original position becomes irrelevant once the swap is made - the only figure that matters is the seat she now occupies.
Question 272
In a row of 40 children, Ravi is 11th from the left. His position from the right is:
Select an option first.
Correct answer: D — 30th
Explanation: Position from the right = total - position from the left + 1 = 40 - 11 + 1 = 30th. The plus one restores Ravi himself, who would otherwise be lost in the subtraction. As a check, the two positions must sum to one more than the total: 11 + 30 = 41 = 40 + 1.
Question 273
In a row of 10 students, M is 4th from the left and N stands 3rd to the right of M. N's position from the right end is:
Select an option first.
Correct answer: C — 4th
Explanation: M occupies position 4 from the left, so N is at position 4 + 3 = 7. Counting from the right, N's position is 10 - 7 + 1 = 4th. The plus one is essential: the number of places from one end plus the number from the other always exceeds the total by exactly one, because the person is counted twice.
Question 274
In a class, Suresh is 9th from the top and 31st from the bottom. The number of students is:
Select an option first.
Correct answer: C — 39
Explanation: Total = 9 + 31 - 1 = 39, the subtraction removing the double count of Suresh, who is included in both figures. Check: with 39 students, someone 9th from the top has 30 below and is therefore 31st from the bottom.
Question 275
Amit ranks 12th from the top of his class and 28th from the bottom. The number of students in the class is:
Select an option first.
Correct answer: A — 39
Explanation: Total = (rank from top) + (rank from bottom) - 1 = 12 + 28 - 1 = 39. The subtraction removes the double count of Amit himself, who is included in both figures. If instead the question gave the number of students ABOVE and BELOW him, the total would be the sum plus one - read which form is being used.
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Question 276
In an examination Rohit is 7th from the top and 18th from the bottom among the students who PASSED. If 6 students failed, the total number who appeared is:
Select an option first.
Correct answer: B — 30
Explanation: The number who passed is 7 + 18 - 1 = 24, and adding the 6 who failed gives 30 who appeared. The two-stage structure is the whole difficulty: the ranking applies only to the passed group, so the failures must be added afterwards. Distractor A stops at the passed figure.
Question 277
Five friends A, B, C, D and E sit in a row. B is immediately to the right of A, C is at the left end, A is second from the left, and D sits between B and E. Who is at the right end?
Select an option first.
Correct answer: D — E
Explanation: Number the seats 1 to 5 from the left. C is at seat 1 and A at seat 2, so B, being immediately to A's right, takes seat 3. D must sit between B and E, which places D at seat 4 and E at seat 5. Fix the definite positions first and let the relative clues fill the gaps - never start from the relative ones.
Question 278
Find the next term of the series: 3, 12, 27, 48, ___
Select an option first.
Correct answer: D — 75
Explanation: The terms are 3 times the squares: 3 x 1, 3 x 4, 3 x 9, 3 x 16, so the next is 3 x 25 = 75. Alternatively the differences are 9, 15 and 21, rising by 6, so the next difference is 27 and 48 + 27 = 75. Two independent routes agreeing is the strongest confirmation available.
Question 279
Find the next term of the series: 1, 8, 27, 64, ___
Select an option first.
Correct answer: B — 125
Explanation: The terms are the cubes of 1, 2, 3 and 4, so the next is 5 cubed = 125. Distractor D is 6 cubed, which skips a term, and distractor A is 10 squared - offered to catch a candidate who spotted a pattern of powers but not which one. Test squares before cubes, then commit.
Question 280
Find the next term of the series: 1, 4, 9, 16, 25, ___
Select an option first.
Correct answer: D — 36
Explanation: The terms are the squares of 1, 2, 3, 4 and 5, so the next is 6 squared = 36. Distractor C is 7 squared, which skips a term. When the differences themselves increase by a constant amount - here 3, 5, 7, 9 - the series is quadratic, and squares are the first pattern to test.
Question 281
Find the next term of the series: 2, 3, 5, 7, 11, ___
Select an option first.
Correct answer: B — 13
Explanation: The terms are consecutive prime numbers, so the next is 13. The differences of 1, 2, 2 and 4 form no pattern, which is the signal to test a named sequence rather than an arithmetic rule. Primes, squares, cubes and Fibonacci are the four named sequences worth testing whenever the differences look irregular.
Question 282
In a certain code, if 8 is written as 24 and 5 is written as 15, then 11 is written as:
Select an option first.
Correct answer: D — 33
Explanation: Each number is multiplied by 3: 8 becomes 24 and 5 becomes 15, so 11 becomes 33. Distractor A doubles instead, which fits neither of the given pairs. Test any candidate rule against BOTH examples before applying it to the third.
Question 283
Find the next term of the series: 2, 5, 10, 17, ___
Select an option first.
Correct answer: A — 26
Explanation: The terms are one more than the squares of 1, 2, 3 and 4, so the next is 25 + 1 = 26. Equivalently the differences are 3, 5 and 7, rising by 2, so the next difference is 9. Two independent routes agreeing is the surest confirmation available in a series question.
Question 284
Find the next term of the series: 4, 9, 19, 39, ___
Select an option first.
Correct answer: C — 79
Explanation: Each term is twice the previous term plus one: 4 to 9, 9 to 19, 19 to 39, and 39 x 2 + 1 = 79. The differences of 5, 10 and 20 are themselves doubling, which is the signal to test a multiply-and-add rule rather than a difference pattern.
Question 285
Find the next term of the series: 5, 6, 12, 13, 26, 27, ___
Select an option first.
Correct answer: C — 54
Explanation: The operations alternate: add 1, then double. So 5 + 1 = 6, 6 x 2 = 12, 12 + 1 = 13, 13 x 2 = 26, 26 + 1 = 27, and 27 x 2 = 54. When neither a constant difference nor a constant ratio fits, test whether TWO rules are alternating - it is the commonest structure after the simple ones, and checking every second term reveals it at once.
Question 286
Find the next term of the series: 100, 96, 88, 76, ___
Select an option first.
Correct answer: B — 60
Explanation: The differences are 4, 8 and 12, increasing by 4 each time, so the next difference is 16 and the term is 76 - 16 = 60. Distractor A applies a constant difference of 12. When a series falls at an accelerating rate, take second differences before assuming any fixed step.
Question 287
In a group of 100 people, 60 read newspaper A, 45 read newspaper B and 20 read both. How many read neither?
Select an option first.
Correct answer: A — 15
Explanation: Those reading at least one are 60 + 45 - 20 = 85, so 100 - 85 = 15 read neither. Distractor D forgets to subtract the overlap and gets 105 readers, which already exceeds the group - an impossible figure that should be caught immediately.
Question 288
Statement: A company has decided to reduce the price of its product by 20%. Conclusion: The company expects its sales volume to increase. Does the conclusion follow?
Select an option first.
Correct answer: B — It follows, since a price reduction is normally intended to raise sales volume
Explanation: A deliberate price cut is a commercial decision, and the ordinary business reason for making one is to sell more units. The conclusion follows as a reasonable inference from the statement. The other options either deny an accepted economic relationship or import facts - about competitors or losses - that the statement never supplies.
Question 289
Statement: 'Join our coaching and clear CA Foundation in your very first attempt.' Which of the following is an implicit assumption?
Select an option first.
Correct answer: A — Students want to clear the examination in the first attempt
Explanation: An implicit assumption is something taken for granted for the statement to make sense. The advertisement only works if first-attempt success is something students value, so that assumption is implicit. The other three are far stronger claims that the statement neither needs nor supports - an assumption must be NECESSARY, not merely consistent.
Question 290
If water is called food, food is called tree, and tree is called sky, then what grows from the ground?
Select an option first.
Correct answer: D — Sky
Explanation: What actually grows from the ground is a tree, but in this vocabulary a tree is called sky, so the answer is sky. Work in two stages: identify the real-world answer first, then translate it into the coded vocabulary. Attempting to reason inside the substituted language is what makes these confusing.
Question 291
Statements: All pens are books. Some books are red. Conclusions: (I) Some pens are red. (II) Some books are pens. Which conclusion follows?
Select an option first.
Correct answer: A — Only II follows
Explanation: From 'all pens are books' it follows immediately that some books are pens, so II holds. Conclusion I does not: the red books may all lie outside the set of pens, since 'some books are red' says nothing about WHICH books. A conclusion must be true in EVERY diagram consistent with the statements, not merely in one that can be drawn.
Question 292
Statements: All roses are flowers. Some flowers fade quickly. Conclusion: Some roses fade quickly. Is the conclusion valid?
Select an option first.
Correct answer: C — No, because the flowers that fade quickly need not include any rose
Explanation: 'Some flowers fade quickly' identifies no particular flowers, so those that fade may lie entirely outside the set of roses. A valid conclusion must hold in EVERY diagram consistent with the premises, and one can easily be drawn in which no rose fades quickly. The trap is that the conclusion could be true - but could be is not the same as must be.
Question 293
Statements: Some doctors are writers. All writers are creative. Conclusion: Some doctors are creative. Does it follow?
Select an option first.
Correct answer: C — It follows, since the doctors who are writers must be creative
Explanation: At least one doctor is a writer, and every writer is creative, so that doctor is certainly creative - which makes 'some doctors are creative' true. Whether OTHER doctors are creative is irrelevant, because the conclusion claims only 'some'.
Question 294
Statements: All squares are rectangles. All rectangles are quadrilaterals. Conclusion: All squares are quadrilaterals. Does it follow?
Select an option first.
Correct answer: A — It follows, the two premises forming a valid chain
Explanation: The set of squares lies inside rectangles, which lies inside quadrilaterals, so every square must be a quadrilateral. Two universal affirmative premises sharing a middle term yield a universal affirmative conclusion - this is the simplest valid form, and it holds in every possible diagram.
Question 295
If 3 # 5 = 34 and 4 # 6 = 52, then 5 # 7 equals:
Select an option first.
Correct answer: C — 74
Explanation: The rule is the sum of the squares: 9 + 25 = 34 and 16 + 36 = 52. Applying it, 25 + 49 = 74. Test any candidate rule against BOTH given examples before using it - a rule that fits only the first pair is not established, and these questions are always built so that a plausible wrong rule fits one of them.
Question 296
In a certain code 5 x 3 = 16 and 7 x 2 = 15. On the same basis 9 x 4 equals:
Select an option first.
Correct answer: D — 37
Explanation: The rule is the ordinary product plus one: 15 + 1 = 16 and 14 + 1 = 15. So 9 x 4 = 36 + 1 = 37. Distractor A is the plain product, offered for anyone who checks only one example. Always test a candidate rule against BOTH given equations before applying it.
Question 297
A man facing north turns 90 degrees clockwise, then 180 degrees, and then 90 degrees anticlockwise. He is now facing:
Select an option first.
Correct answer: D — South
Explanation: Facing north, a 90 degree clockwise turn faces east; a further 180 degrees faces west; a 90 degree anticlockwise turn from west faces south. Track the direction after EACH turn rather than trying to net the angles, because clockwise and anticlockwise turns must be signed before they can be combined.
Question 298
Statements: No student is lazy. Some lazy people are rich. Conclusion: Some rich people are not students. Does it follow?
Select an option first.
Correct answer: B — It follows, since the lazy rich people cannot be students
Explanation: At least one person is both lazy and rich. Since no student is lazy, that person is certainly not a student. So at least one rich person is not a student, and the conclusion holds. The chain runs through the individual guaranteed to exist by the word 'some'.
Question 299
Statements: Some books are pens. All pens are red. Conclusion: Some books are red. Does it follow?
Select an option first.
Correct answer: C — It follows, since the books that are pens must be red
Explanation: At least one book is a pen, and every pen is red, so that book is certainly red - which makes 'some books are red' true. That other books may not be red is irrelevant, because the conclusion claims only SOME. A particular premise combined with a universal one yields a valid particular conclusion.
Question 300
Statements: All accountants are graduates. No graduate is illiterate. Conclusion: No accountant is illiterate. Does the conclusion follow?
Select an option first.
Correct answer: B — It follows, since every accountant is a graduate and no graduate is illiterate
Explanation: The set of accountants lies entirely inside the set of graduates, and the set of graduates is entirely outside the set of illiterates. Therefore no accountant can be illiterate. This is a valid chain: a universal affirmative followed by a universal negative yields a universal negative conclusion, and it holds in every possible diagram.
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