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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 241
If 1 January 2026 is a Thursday, then 1 January 2027 falls on a:
Select an option first.
Correct answer: B — Friday
Explanation: 2026 is not divisible by 4, so it is an ordinary year of 365 days, that is 52 weeks and 1 odd day. The date therefore advances by one weekday, from Thursday to Friday. Across a LEAP year it would advance by two - checking the leap year status is always the first step.
Question 242
If today is Monday, the day after 61 days will be:
Select an option first.
Correct answer: D — Saturday
Explanation: Divide 61 by 7: the quotient of 8 complete weeks changes nothing and the remainder of 5 carries the answer forward five days from Monday - Tuesday, Wednesday, Thursday, Friday, Saturday. Only the REMAINDER matters in every such question; the whole weeks can be discarded at once.
Question 243
Starting from a point, a person walks 4 km east and then 3 km north. His distance from the starting point is:
Select an option first.
Correct answer: D — 5 km
Explanation: The two legs are at right angles, so the direct distance is the hypotenuse: the square root of (16 + 9) = 5 km. Distractor A adds the legs, which is the distance WALKED rather than the distance FROM the start. Whenever consecutive legs are perpendicular, expect a 3-4-5 or 5-12-13 triangle.
Question 244
A man walks 5 km east, turns right and walks 5 km, turns right again and walks 10 km. He is now facing:
Select an option first.
Correct answer: A — West
Explanation: Facing east, a right turn faces SOUTH; a second right turn faces WEST. He is therefore facing west after the final leg. Track the facing direction after each turn rather than the position - the question asks which way he faces, not how far he has travelled.
Question 245
A is 20 m north of B. C is 15 m east of A. D is 20 m south of C. The distance between B and D is:
Select an option first.
Correct answer: D — 15 m
Explanation: Set B at the origin. A is at (0, 20), C at (15, 20) and D at (15, 0). B and D share the same latitude, so the distance is simply 15 m. The northward and southward movements of 20 m each cancel exactly, which is what makes this a one-step answer rather than a Pythagoras calculation.
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Question 246
P walks 6 km south, then turns left and walks 8 km. His distance from the starting point is:
Select an option first.
Correct answer: B — 10 km
Explanation: The two legs are perpendicular, so the direct distance is the hypotenuse: the square root of (36 + 64) = the square root of 100 = 10 km. Distractor A adds the legs, giving the distance walked rather than the distance from the start. The 6-8-10 triangle is simply a scaled 3-4-5.
Question 247
A man walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. How far is he from his starting point, and in which direction?
Select an option first.
Correct answer: C — 3 km east
Explanation: Walking 5 km north, then 3 km east, then 5 km south returns him to the latitude of his start but 3 km to the east of it. The two northward and southward legs cancel exactly. Sketching the path takes fifteen seconds and removes any doubt about which way a right turn faces after the first change of direction.
Question 248
Rahul walks 10 m south, turns left and walks 10 m, turns left again and walks 20 m, then turns left and walks 10 m. How far is he from his starting point and in which direction?
Select an option first.
Correct answer: A — 10 m north
Explanation: Take the start as the origin. South 10 m reaches (0, -10). Facing south, a left turn faces EAST, so he moves to (10, -10). A further left turn faces north, taking him 20 m to (10, 10). The last left turn faces west, bringing him 10 m back to (0, 10) - that is, 10 m north of the start. A left turn's compass direction depends on the way you are facing, which is exactly what a quick sketch settles.
Question 249
A man walks 3 km north, then 4 km east, then 3 km south. His distance from the starting point is:
Select an option first.
Correct answer: B — 4 km
Explanation: The northward and southward legs of 3 km each cancel exactly, leaving only the 4 km eastward displacement. Distractor D is the tempting Pythagoras answer, but no right-angled displacement survives once the vertical legs cancel. Plot the coordinates - the finish is at (4, 0) and the start at (0, 0).
Question 250
A person facing east turns 90 degrees to his right, walks, then turns 90 degrees to his right again. He is now facing:
Select an option first.
Correct answer: B — West
Explanation: Facing east, a right turn faces south; a second right turn faces west. Two successive right turns always reverse the original direction, since 90 plus 90 is 180 degrees. Noting that shortcut saves tracking each turn separately.
Question 251
Find the next term of the series: 1, 1, 2, 3, 5, 8, ___
Select an option first.
Correct answer: D — 13
Explanation: Each term is the sum of the two preceding terms: 5 + 8 = 13. This is the Fibonacci sequence, one of the four named sequences worth testing whenever the differences show no simple pattern - the others being primes, squares and cubes. Here the differences are themselves the earlier terms, which is the tell.
Question 252
Find the next term of the series: 7, 14, 28, 56, ___
Select an option first.
Correct answer: A — 112
Explanation: Each term is double the previous one, so the next term is 56 x 2 = 112. This is a geometric progression with common ratio 2. Distractor B comes from assuming a constant difference, which is the first thing to test but is clearly wrong here since the gaps are 7, 14 and 28 rather than a fixed number.
Question 253
In a row of 15 students, Amit is 5th from the left and Bala is 5th from the right. The number of students between them is:
Select an option first.
Correct answer: C — 5
Explanation: Bala's position from the left is 15 - 5 + 1 = 11. The students strictly between positions 5 and 11 occupy positions 6 to 10 - five of them. Subtracting the two positions gives 6, which counts one of the pair; the number strictly BETWEEN is always the difference less one.
Question 254
Statements: All cats are animals. Some animals are wild. Conclusion: Some cats are wild. Does the conclusion follow?
Select an option first.
Correct answer: B — It does not follow, because the wild animals need not include any cat
Explanation: Cats form part of the set of animals, but the animals said to be wild may lie entirely in the other part of it. A conclusion must hold in every consistent diagram, and one can readily be drawn with no wild cats. Being able to draw a single counter-diagram is enough to reject a conclusion.
Question 255
In a queue A is 10th from the front and 25th from the back. The number of people in the queue is:
Select an option first.
Correct answer: A — 34
Explanation: Total = 10 + 25 - 1 = 34, the subtraction removing the double count of A, who appears in both figures. Distractor B forgets it. Check: with 34 people, someone 10th from the front has 24 behind and is therefore 25th from the back.
Question 256
In the word STATISTICS, how many distinct letters appear more than once?
Select an option first.
Correct answer: A — 3
Explanation: The letters are S, T, A, T, I, S, T, I, C, S. Counting: S appears 3 times, T 3 times, I twice, while A and C appear once each. So three DISTINCT letters repeat. The question asks how many letters repeat, not how many repeated occurrences there are - a total of 8 - which is the misreading the distractors exploit.
Question 257
Find the next letter of the series: A, C, F, J, ___
Select an option first.
Correct answer: B — O
Explanation: The gaps between consecutive letters are 2, 3 and 4, so the next gap is 5. J is the 10th letter, and 10 + 5 = 15, which is O. Converting letters to their position numbers turns every letter series into an ordinary number series - it is worth writing the alphabet with numbers along the margin at the start of the paper.
Question 258
Find the next letter of the series: Z, W, T, Q, ___
Select an option first.
Correct answer: B — N
Explanation: The positions are 26, 23, 20 and 17, falling by 3 each time, so the next is position 14, which is N. Converting letters to numbers makes the pattern immediate; trying to count backwards through the alphabet three letters at a time is where mistakes creep in.
Question 259
Find the next letter of the series: Y, V, S, P, ___
Select an option first.
Correct answer: D — M
Explanation: The positions are 25, 22, 19 and 16, falling by 3 each time, so the next is 13 - the letter M. Writing the position numbers above the letters converts the puzzle into simple arithmetic; counting backwards through the alphabet in threes is where errors creep in.
Question 260
Find the next letter of the series: B, D, G, K, ___
Select an option first.
Correct answer: C — P
Explanation: The positions are 2, 4, 7 and 11, with gaps of 2, 3 and 4, so the next gap is 5 and the position is 16 - the letter P. Writing the positions above the letters turns a hard-looking letter series into an ordinary number series, which is always the first step.
Question 261
If A = 1, B = 2 and so on, the sum of the letter values of the word CAB is:
Select an option first.
Correct answer: D — 6
Explanation: C = 3, A = 1 and B = 2, giving a total of 6. These questions sometimes ask for the PRODUCT or for a reversed-alphabet value where A = 26, so read the rule as stated rather than assuming the familiar one - the arithmetic is trivial, the reading is where marks are lost.
Question 262
Find the missing term: 5, 11, 23, ___, 95
Select an option first.
Correct answer: D — 47
Explanation: Each term is twice the previous term plus one: 5 to 11, 11 to 23, so the missing term is 23 x 2 + 1 = 47, and 47 x 2 + 1 = 95 confirms it. When a term in the MIDDLE is missing, always verify the rule against the term that follows as well - a rule that fits only the earlier terms is not established.
Question 263
Find the next term of the series: 3, 7, 15, 31, 63, ___
Select an option first.
Correct answer: A — 127
Explanation: Each term is twice the previous term plus one: 3 to 7, 7 to 15, 15 to 31, 31 to 63, and 63 x 2 + 1 = 127. Equivalently each term is 2 raised to the power (n + 1) less 1. When a series roughly doubles, test 2n plus or minus a constant before looking at differences - it resolves most such series in one step.
Question 264
Find the next term of the series: 2, 6, 12, 20, 30, ___
Select an option first.
Correct answer: D — 42
Explanation: The first differences are 4, 6, 8 and 10, increasing by 2 each time, so the next difference is 12 and the next term is 30 + 12 = 42. Equivalently the nth term is n(n + 1): 1x2, 2x3, 3x4, 4x5, 5x6, 6x7 = 42. When first differences are not constant, take the SECOND differences before trying anything else.
Question 265
The number of odd days in an ordinary year is:
Select an option first.
Correct answer: D — 1
Explanation: An ordinary year has 365 days, which is 52 complete weeks plus 1 day, so it has 1 odd day. A leap year has 366 days and therefore 2 odd days. This is why a given date advances by one weekday each ordinary year and by two across a leap year - the basis of every calendar question.
Question 266
Find the odd one out: 8, 27, 64, 100, 125
Select an option first.
Correct answer: B — 100
Explanation: The numbers 8, 27, 64 and 125 are the cubes of 2, 3, 4 and 5. 100 is a perfect SQUARE but not a perfect cube, so it does not belong. When a list contains familiar small numbers, test squares, cubes and primes in that order - one of the three explains most odd-one-out items.
Question 267
Find the odd one out: 3, 5, 7, 9, 11
Select an option first.
Correct answer: D — 9
Explanation: All the numbers are odd, so oddness cannot be the criterion. Testing primality, 3, 5, 7 and 11 are prime while 9 = 3 x 3 is composite. When every member shares the obvious property, look for a SECOND property - the question is designed so that the first pattern you notice is not the discriminating one.
Question 268
Five boxes are stacked. A is above B, C is below D, and D is below B. E is at the bottom. Which box is at the top?
Select an option first.
Correct answer: A — A
Explanation: Combining the clues: A is above B, B is above D, D is above C, and E is at the bottom - giving the order A, B, D, C, E from top to bottom. A is therefore at the top. Assemble a single chain from the pairwise clues; the answer is then read off one end.
Question 269
Find the next term of the series: AB, DE, GH, ___
Select an option first.
Correct answer: A — JK
Explanation: The first letters run A, D, G at intervals of 3, so the next is J; the second letter of each pair immediately follows the first, giving K. The answer is JK. Reading each position of the pair as its own series is what makes these tractable - the internal gap of 1 is a separate observation.
Question 270
Find the next term of the series: AZ, BY, CX, ___
Select an option first.
Correct answer: C — DW
Explanation: The first letters advance A, B, C, so the next is D. The second letters move backwards from the end of the alphabet, Z, Y, X, so the next is W. The answer is DW. Treat each position in the pair as its OWN series - attempting to read the pair as a single pattern is what makes these look harder than they are.
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