Number Series Questions From UGC NET (Scanner 2004-20)
1. In the sequence of numbers 2/3, 4/7, X, 11/21, 16/31 The missing number X is:
(A) 8/10 (B) 6/10 (C) 5/10 (D) 7/13 Answer: D
2. Insert the missing number: 8 24 12 ? 18 54 (A) 26 (B) 24 (C) 36 (D) 32 Answer: C Explanation: Nu mbers are alternatively multiplied by 3 and divided by 2. So, the next number = 3 x 12 = 36, 36 ÷ 2 = 18
3. Insert the missing number: 16/32, 15 /33, 17/31, 14/34, ? (A) 19/35 (B) 19/30 (C) 18/35 (D) 18/30 Answer: D 16/32 then 15/33 means -1/+1, 17/31 means +2/-2, 14/34 means -3/+3 next +4/-4 i.e 18/30
4. In the sequence of numbers 8, 24, 12, X, 18, 54 the missing number X is : (A) 26 (B) 24 (C) 36 (D) 32 Answer: C In the sequence of numbers 8, 24, 12, X, 18, 54 8*3= 24, 12*3= 36, 18*3= 54, i.e multiple of 3.
5. Which is the number that comes next in the sequence? 9, 8, 8, 8, 7, 8, 6, — (A) 5 (B) 6 (C) 8 (D) 4 Answer: C Explanation: Given sequence is 9, 8, 8, 8, 7, 8, 6, Third term decrease by 1 with first, Fifth term decrease by 1 with third, Seventh term decrease by 1 with fifth. Second, Forth, Sixth are remain same i.e 8. So next will 8.
6. Find out the number which should come at the place of question mark which will complete the following series: 5, 4, 9, 17, 35, ? = 139 (A) 149 (B) 79 (C) 49 (D) 69 Answer: D 4 * 2 = 8 + 1 = 9 9 * 2 = 18 - 1=17 17 *2 = 34 + 1 =35 So 35 * 2 = 70 -1 = 69 Hence 4 + 5 + 9 + 17+ 35 + 69 =139 Twice the previous number plus 1 and twice the previous and minus 1 series
7. Which number is missing in the following series ? 2, 5, 10, 17, 26, 37, 50, ? (A) 63 (B) 65 (C) 67 (D) 69 Answer: B Observe that 2, 5, 10, 17, 26, 37, 50, ? There is difference between two number is 3, 5, 7, 9, 11, 13 So next is 50 +15=65
8. Insert the missing number: 4:17 : : 7:? (A) 48 (B) 49 (C) 50 (D) 51 Answer: C Square of 4 is 16 +1 = 17 Therefore Square of 7 is 49 +1 = 50
9. Insert the missing number: 36/62, 39/63, 43/61, 48/64, ? (A) 51/65 (B) 56/60 (C) 54/60 (D) 33/60 Answer: C Observer 36/62, 39/63, 43/61, 48/64, ? series Insert the missing number: 36/62, 39/63, 43/61, 48/64, ? (A) 51/65 (B) 56/60 (C) 54/60 (D) 33/60 Answer: C Observer 36/62, 39/63, 43/61, 48/64, ? series
10. Insert the missing number in the following series: 4 16 8 64 ? 256 (A) 16 (B) 24 (C) 32 (D) 20 Answer: A Square root of 16 is 4, Square root of 64 is 8, Therefore Square root of 256 is 16.
11. Insert the missing number in the following: 2/3, 4/7, ? , 11/21, 16/31 (A) 10/8 (B) 6/10 (C) 5/10 (D) 7/13 Answer: D 2/3 = 2/2*2-1, 4/7 = 4/4 *2-1, 11/21 = 11/11*2-1, and 16/31 = 16/16*2-1; Therefore 7/13= 7/7*2-1.
12. Find out the wrong number in the sequence: 125, 127, 130, 135, 142, 153, 165 (A) 130 (B) 142 (C) 153 (D) 165 Answer: C Difference 125 and 127 is 2, then 3, 5, 7, 11, and 12. Except 12 all are prime numbers so 165 is wrong in series.
13. Insert the missing number in the following: 3, 8, 18, 23, 33, ?, 48 (A) 37 (B) 40 (C) 38 (D) 45 Answer: C The Difference between 2 number in series is 5 then 10, 5 then 10. Therefore after 33 + 5 = 38.
14. Find out the wrong number in the sequence. 52, 51, 48, 43, 34, 27, 16 (A) 27 (B) 34 (C) 43 (D) 48 Answer: B The series is decreese with order 1, 3, 5, 7, 9, 11. Therefore expected series will be 52, 51, 48, 43, 36, 27, 16. Hence 34 is wrong in seriese there must be 36.
15. The next number in the series 2, 5, 9, 19, 37, ? will be (A) 74 (B) 75 (C) 76 (D) None of the above Answer: B 2 * 2 = 4 + 1 = 5, 5 * 2 = 10 - 1 = 9, 9 * 2 = 18 +1 = 19, 19*2 = 38 - 1 = 37, 37*2 = 74 + 1= 75.
16. Find the next number in the following series: 2, 5, 10, 17, 26, 37, 50, ? (A) 63 (B) 65 (C) 67 (D) 69 Answer: B
17. Find the wrong number in the sequence : 52, 51, 48, 43, 34, 27, 16 (A) 27 (B) 34 (C) 43 (D) 48 Answer: B
18. Find the wrong number in the sequence 125, 127, 130, 135, 142, 153, 165 (A) 130 (B) 142 (C) 153 (D) 165 Answer: D
19. Which is the number that comes next in the following sequence? 2, 6, 12, 20, 30, 42, 56, ………… (A) 60 (B) 64 (C) 72 (D) 70 Answer: C
20. The missing number in the series : 0, 6, 24, 60, 120, ?, 336, is (A) 240 (B) 220 (C) 280 (D) 210 Answer: D
21. The missing number in the series 40, 120, 60, 180, 90, ?, 135 is (A) 110 (B) 270 (C) 105 (D) 210 Answer: B
22. The missing term in the series 2, 7, 24, 77, ?, 723 is (A) 238 (B) 432 (C) 542 (D) 320 Answer: A
23. In this series 6, 4, 1, 2, 2, 8, 7, 4, 2, 1, 5, 3, 8, 6, 2, 2, 7, 1, 4, 1, 3, 5, 8, 6, how many pairs of successive numbers have a difference of 2 each ? (A) 4 (B) 5 (C) 6 (D) 8 Answer: C
24. lf the series 4,5,8,13,14,17,22,........ is continued in the same pattern, which one of the following is not a term of this series? (A) 31 (B) 32 (C) 33 (D) 35 Answer: C
25. The next term in the series: 2, 7, 28, 63, 126, — is (A) 215 (B) 245 (C) 276 (D) 296 Answer: A
26. The next term in the series is: 2, 5, 9, 19, 37, ? (A) 80 (B) 73 (C) 75 (D) 78 Answer: C
27. The next term in the series 2, 5, 10, 17, 26, 37, ? is: (A) 50 (B) 57 (C) 62 (D) 72 Answer: A
28. In the series 3, 11, 23, 39, 59, ..........., The next term will be (A) 63 (B) 73 (C) 83 (D) 93 Answer: C
29. In the series 1, 5, 13, 25, 41, ……., the next term is (A) 59 (B) 63 (C) 61 (D) 68 Answer: C
30. The missing term in the series 1, 4, 27 16, ? , 36, 343, ……is (A) 30 (B) 49 (C) 125 (D) 81 Answer: C
31. The next term in the series −1, 5, 15, 29, ? , ... is : (1) 36 (2) 47 (3) 59 (4) 63
32. The next term in the series 0, 1, 9, 36, 100, ______ is : 1. 216 2. 164 3. 196 4. 225 Answer: 4
Letter Series (Scanner 2004-20)
The letters in the first set have certain relationships. On the basis of the relationship which is the right choice for the second set ? BF:GK::LP:? (A) JK (B) QU (C) VW (D) RQ Answer: B Explanation: B+5=G, F+5=K Using same relationship,L+5=Q, P+5=U
If A stands for 5 , B for 6, C for 7, D for 8, and so on, what do the following numbers stand for : 22, 25, 8, 22 and 5 ? (A) PRIYA (B) NEEMA (C) MEENA (D) RUDRA Answer: D
If A stands for 5, B for 6, C for 7, D for 8 and so on, then the following numbers stand for 17, 19, 20, 9 and 8 : (A) PLANE (B) MOPED (C) MOTOR (D) TONGA Answer: B If A stands for 5, B for 6, C for 7, D for 8 and so on, then E=9, F=10, G=11, H=12, I=13, J=14, K=15, L=16, M=17, N=18, O=19, P=20. Therefore 17, 19 , 20, 9, 8 = M O P E D.
In a certain code, PAN is written as 31 and PAR as 35. In this code PAT is written as: (A) 30 (B) 37 (C) 38 (D) 39 Answer: B According to the position number of alphabets A =1, P=16, T=20 Hence, PAT=16+1+20 = 37.
What will be the next letter in the following series: DCXW, FGVU, HGTS, ………… (A) AKPO (B) JBYZ (C) JIRQ (D) LMRS Answer: C First two letter is the difference of +2 i.e next 2 character and last two character is difference of -2 character i.e previous 2. Therefore After HG TS --> JI RQ
What will be the next term in the following? DCXW, FEVU, HGTS, ? (A) AKPO (B) ABYZ (C) JIRQ (D) LMRS Answer: C in a given series Frist 2 letter is next 2 Alphabets and next 2 letter is previous 2 Alphabet. Therefore After HG TS ---> JI RQ
Find the next letter for the series YVSP ……… (A) N (B) M (C) O (D) L Answer: B
Complete the series BB, FE, II, ML, PP,.......... (A) TS (B) ST (C) RS (D) SR Answer: A
The next term in the series: AB, ED, IH, NM, — is (A) TS (B) ST (C) TU (D) SU Answer: A
The next term in the series: B2E, D5H, F12K, H27N, ? is: (A) J561 (B) 162Q (C) Q62J (D) J58Q Answer: D
In the series AB, EDC, FGHI, ......?......, OPQRST, the missing term is (A) JKLMN (B) JMKNL (C) NMLKJ (D) NMKLJ Answer: C
In the series : AYD, BVF, DRH, GMJ, ? , the next term is (A) GLK (B) HLM (C) LHM (D) KGL Answer: D
The next term in the following series YEB, WFD, UHG, SKI, ? Will be (A) TLO (B) QOL (C) QLO (D) GOP Answer: B
The next term in the letter series DEF, HIJ, LMN, PQR, TUV, ______ IS : 1. XYZ 2. WYZ 3. WXY 4. YZA Answer: 1
The next term in the series: ABD, DGK, HMS, MTB, SBL, ________, … is: (1) ZKU (2) ZCA (3) ZKW (4) ZKU Answer: 3
The letters in the first set have certain relationships. On the basis of the relationship which is the right choice for the second set ? BF:GK::LP:? (A) JK (B) QU (C) VW (D) RQ Answer: B Explanation: B+5=G, F+5=K Using same relationship,L+5=Q, P+5=U
If A stands for 5 , B for 6, C for 7, D for 8, and so on, what do the following numbers stand for : 22, 25, 8, 22 and 5 ? (A) PRIYA (B) NEEMA (C) MEENA (D) RUDRA Answer: D
If A stands for 5, B for 6, C for 7, D for 8 and so on, then the following numbers stand for 17, 19, 20, 9 and 8 : (A) PLANE (B) MOPED (C) MOTOR (D) TONGA Answer: B If A stands for 5, B for 6, C for 7, D for 8 and so on, then E=9, F=10, G=11, H=12, I=13, J=14, K=15, L=16, M=17, N=18, O=19, P=20. Therefore 17, 19 , 20, 9, 8 = M O P E D.
In a certain code, PAN is written as 31 and PAR as 35. In this code PAT is written as: (A) 30 (B) 37 (C) 38 (D) 39 Answer: B According to the position number of alphabets A =1, P=16, T=20 Hence, PAT=16+1+20 = 37.
What will be the next letter in the following series: DCXW, FGVU, HGTS, ………… (A) AKPO (B) JBYZ (C) JIRQ (D) LMRS Answer: C First two letter is the difference of +2 i.e next 2 character and last two character is difference of -2 character i.e previous 2. Therefore After HG TS --> JI RQ
What will be the next term in the following? DCXW, FEVU, HGTS, ? (A) AKPO (B) ABYZ (C) JIRQ (D) LMRS Answer: C in a given series Frist 2 letter is next 2 Alphabets and next 2 letter is previous 2 Alphabet. Therefore After HG TS ---> JI RQ
Find the next letter for the series YVSP ……… (A) N (B) M (C) O (D) L Answer: B
Complete the series BB, FE, II, ML, PP,.......... (A) TS (B) ST (C) RS (D) SR Answer: A
The next term in the series: AB, ED, IH, NM, — is (A) TS (B) ST (C) TU (D) SU Answer: A
The next term in the series: B2E, D5H, F12K, H27N, ? is: (A) J561 (B) 162Q (C) Q62J (D) J58Q Answer: D
In the series AB, EDC, FGHI, ......?......, OPQRST, the missing term is (A) JKLMN (B) JMKNL (C) NMLKJ (D) NMKLJ Answer: C
In the series : AYD, BVF, DRH, GMJ, ? , the next term is (A) GLK (B) HLM (C) LHM (D) KGL Answer: D
The next term in the following series YEB, WFD, UHG, SKI, ? Will be (A) TLO (B) QOL (C) QLO (D) GOP Answer: B
The next term in the letter series DEF, HIJ, LMN, PQR, TUV, ______ IS : 1. XYZ 2. WYZ 3. WXY 4. YZA Answer: 1
The next term in the series: ABD, DGK, HMS, MTB, SBL, ________, … is: (1) ZKU (2) ZCA (3) ZKW (4) ZKU Answer: 3