Easy
These questions are targeted to improve your knowledge on basic concepts, though easy questions are rare in CAT these are extremely important for conceptual understanding at foundation level
Question for Number Series Practice Question
Try yourself:Find out the missing term: 256, 64, 16, 4, ?
Explanation
The given series is a GP with common ratio 1/4.
Hence, option (a) is correct
Example 1: Find out the missing term:
0, 3, 8, 15, 24, 35, 48?
(a) 53
(b) 63
(c) 80
(d) None of these
Ans. (b)
Solution: The series is following the pattern +3, +5, +7, +9, +11, +13 and hence the next term should be 48 + 15 = 63. Answer is option (b).
Example 2: Find out the missing term:
Obtain the missing term B, G, K, ?
(a) N
(b) P
(c) M
(d) L
Ans. (a)
Solution: The series is defined by the 2nd , 7th , 11th term of the alphabet. Hence, the next term would be the 14th term i.e., N. Option (a) is the correct answer
Example 3: Find out the missing term:
?, 425, 600, 825, 1100, 1425
(a) 225
(b) 300
(c) 250
(d) None of these
Ans. (b)
Solution: The series follows a pattern of +175, +225, +275, +325. Hence, the first term should be 300, so the answer is option (b).
Question for Number Series Practice Question
Try yourself:Find out the missing term: 7,15, 27, ?, 63
Explanation
The series follows a pattern of +8, +12, +__, +20.
Obviously we need to add 16 for the missing term.
Hence, 43 i.e., option (b) is the correct answer
Question for Number Series Practice Question
Try yourself:Find out the missing term: 1, 121, 12321, 1234321, ___?
Explanation
The series is representing the values of 1^{2} , 11^{2} , 111^{2} , 1111^{2}.
Hence, the next value would be 11111^{2} = 123454321,
so option (a) is the answer.
Question for Number Series Practice Question
Try yourself:Find out the missing term:
0.005, 0.05, ?, 5
Explanation
A GP with common ratio 10. Hence, the missing term will be 0.5 i.e., option (c)
Question for Number Series Practice Question
Try yourself:Find out the missing term: 31, 32, 36, 45, ?
Explanation
+1, +4, +9, thus +16 and hence the next term should be 61. Correct answer is option (c).
Question for Number Series Practice Question
Try yourself:Find out the missing term: 1, 5, 2, 25, 3, 125, 4, ?
Explanation
There are two series intermixed with one another. One of the series is placed at the odd places of the series and the other is placed at the even places. The series at the even places of the series is 5, 25, 125 and hence its next term should be 625. Option (c) is correct answer.
Question for Number Series Practice Question
Try yourself:Find out the missing term:83, 82, 80, 77, ?
Explanation
The logic of the series is –1, –2, –3 and hence –4 should give us 73. So, the answer is option (b).
Medium
Almost 70% of questions in CAT are of Medium based questions. Though the conceptually they seem easier, trick is to solve the calculations faster & we curated problems for you to help you do problems easier.
Example 1: Find out the missing term:
7: 45, 40, 35, _____ which term will be the first negative term of the series?
(a) 10th term
(b) 11th term
(c) 12th term
(d) 13th term
Ans. (b)
Solution: The first negative term will be –5 (11th term). Hence, option (b) is the answer.
Example 2: Find out the missing term:
1, 3, 2, 5, 3, 7, 4, 9, 5, 11, 6, ?
(a) 10
(b) 11
(c) 13
(d) 9
Ans. (c)
Solution: Two series are intermixed. 1, 2, 3, 4, 5, 6 and 3, 5, 7, 9, 11. Hence, the next term should be 13. So option (c) is the answer.
Example 3: What is the next term in the following series?
ABE, BCF, CDG, DEH, EFI, ______
(a) FGK
(b) FGJ
(c) FGL
(d) None of these
Ans. (b)
Solution: The next term in the series would be FGJ. Hence, option (b) is the answer.
Question for Number Series Practice Question
Try yourself:Find out the missing term: 1/1, 4/8, 9/27, 16/64, 25/125, ?
Explanation
The numerator is represented by n^{2} and the denominator is represented by n^{3} . Hence, the next term in the series would be 36/216, option (c) is the answer.
Question for Number Series Practice Question
Try yourself:Find out the missing term: 1, 4, 27, ?
Explanation
The general term of the series is n^{n} . Hence, the next term in the series would be 4^{4} = 256. Option (a) is the answer.
Question for Number Series Practice Question
Try yourself:What is the next term in the following series? ZYXWTSRQNMLK
Explanation
The given series starts with the last 4 alphabets of the English language and then gives a break of 2 alphabets, followed by the next four alphabets and so on. Hence, the next term in the series would be H (after skipping J and I). So option (c) is the answer
Question for Number Series Practice Question
Try yourself:What is the next term in the following series?
1, 4, 3, 9, 5, 16, 7, 25, 9, 36, 11, ?
Explanation
Two series are intermingled with each other as 1, 3, 5, 7, 9, 11 and 2^{2}, 3^{2}, 4^{2}, 5^{2}, 6^{2}. Hence, the next term in the series would be 7^{2} = 49, so the correct answer is option (b).
Question for Number Series Practice Question
Try yourself:Calculate the sum of the series
1 + 1/4 + 1/16 + ______.
Explanation
Infinite GP with common ratio 1/4 .
Hence, Sum to infinity = 1/(3/4) = 4/3.
Answer is option (b).
Question for Number Series Practice Question
Try yourself:Calculate the missing term. 625, 125, ?, 5, 1
Explanation
GP with common ratio 1/5. Hence, option (d) is correct
Hard
Around 25% of these type questions come in CAT - If your target is above 95%ile we recommend you to solve these questions as well.
Direction for Questions ( 1-2) - Study the following information carefully to answer the questions given below: S Q A 5 N % T 7 B 4 # J E $ 2 T D * 1 8 H 3 U @ 9 F W © K
Example 1: How many such consonants are there in the above arrangement, each of which is immediately followed by a vowel but not immediately preceded by a number?
(a) One
(b) Two
(c) Three
(d) More than three
Ans. (a)
Solution: T7 is the only instance of a consonant followed by a number and not preceded by a number. Option (a) is correct.
Example 2: Which of the following is the seventh to the left of the fifteenth from the left end in the above arrangement?
(a) H
(b) B
(c) 1
(d) 7
Ans. (d)
Solution: The fifteenth from the left is ‘2’ while the 7th to the left of 2 is ‘7’ itself. Option (d) is correct.
Question for Number Series Practice Question
Try yourself:Direction for Questions: Study the following information carefully to answer the questions given below: S Q A 5 N % T 7 B 4 # J E $ 2 T D * 1 8 H 3 U @ 9 F W © K
How many such consonants are there in the above arrangement, each of which is either immediately preceded by a vowel or immediately followed by a symbol but not both?
Explanation
5N% is the only instance of a consonant either followed by a symbol or preceded by a vowel but not both. Option (b) is correct
Question for Number Series Practice Question
Try yourself:The letters skipped between adjacent letters is in the order of 1, 2, 3, 4, ..... Which alternative follows this rule ?
Explanation
EGJNS follows the skipping of 1, 2, 3 & 4 letters respectively as we can see in: EFGHIJKLMNOPQRS
Question for Number Series Practice Question
Try yourself:Which of the following will come in place of the question mark (?) in the following sequence? 16D7, 18G10, 21KI4, 25P19, ?
Explanation
Hence, option (c) is the correct answer. There are three series in the sequence. The numbers to the left of the letter— 16, 18, 21, 25 are increasing continuously by 1 more than the previous increase, i.e., the series of increases in these numbers are + 2, +3, +4 and the next number should be +5; thus 25 +5=30. The letters DGKP form a series where 2, 3 and 4 letters are skipped every time. Hence, the next letter would be V. Similarly, 7, 10, 14, 19 would give 25 as the next term. Thus, the correct answer would be 30V25 option (b).