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Instruction: In each of the following question no. 1 to 10, a number series is given with missing of one term. Choose the correct alternative that will continue the same pattern and replace the question mark (?) in the given series.
1. 12, 24, 37, 51, 66,? (A) 72 (B) 82 (C) 84 (D) 74 Ans. (B) Sol. 12+12=24, 24+13=37, 37+14=51, 51+15=66, 66+16=82. 2. 4, 9, 20, 43,? (A) 90 (B) 54 (C) 66 (D) 80 Ans. (A) Sol. 4 × 2 + 1 = 9, 9 × 2 + 2 = 20, 20 × 2 + 3=43, 43 × 2+ 4= 3. 6, 215, 7, 342, 8,? (A) 512 (B) 216 (C) 343 (D) 511 Ans. (D) Sol. 63 – 1 = 215, 7^3 – 1= 342, 8^3 – 1= 511 4. 28, 33, 40, 51, 64,? (A) 512 (B) 216 (C) 343 (D) 511 Ans. (C) Sol. 28 + 5 = 33, 33 + 7 = 40, 40 + 11 = 51, 51 + 13 = 64, 64 + 17 = 81 5. 200, 64, 100, 32, 50, 16,? (A) 25 (B) 35 (C) 8 (D) 45 Ans. (A) Sol. Divide alternate terms by 2 6. 122, 170, 226, 290,? (A) 289 (B) 362 (C) 290 (D) 325 Ans. (B)
Sol.
(A) 125 (B) 25 (C) 36 (D) 126
Ans. (D) Sol. 93 + 1, 8^3 – 1, 7^3 + 1, 6^3 – 1, 5^3 + 19^3 +1, 8^3 -1, 7^3 +1, 6^3 -1, 5^3 +
Path to success (^) KOTA (RAJASTHAN)
TM (^) NATIONAL TALENT SEARCH EXAMINATION (NTSE-2018) STAGE - ‘GUJARAT’ STATE PAPER : MAT
Date: 05/11/
Max. Marks: 50 (^) SOLUTIONS Time allowed: 45 mins
(A) 10 (B) 22.5 (C) 100 (D) 150
Ans. (A) Sol. Add 2.5 in previous term to get next term.
9. 1, 2, 6, 21,? (A) 89 (B) 84 (C) 440 (D) 445 Ans. (NA) Sol. No correct option 10. 10, 17, 26, ?, 50, 65 (A) 37 (B) 47 (C) 33 (D) 31 Ans. (A) Sol. 10 + 7 = 17, 17 + 9 = 26, 26 + 11 = 37, 37 + 13 = 50, 50 +15 = 65 Instruction: Four figures are given in question no. 11 to 15. One of the figure differs from the rest. Find the figure which is differ from others.
11. E V W M
(A) (B) (C) (D)
Ans. (A or B) Sol. E is vowel and others options are consonants (option A). A, C, D option figures are made up of 4 line segments, while B is of 2 line segments. So (B) is also the answer
12.
(A) (B) (C) (D) Ans. (C) Sol. In option C there are 3 dots i.e. odd number. While option A, B, D have even number of dots.
13.
(A) (B) (C) (D) Ans. (D) Sol. Number of 'L' and "dots" are same
14.
(A) (B) (C) (D) Ans. (D) Sol. USB Pen drive is only a storage device.
7 5 3
6 51
5 4 7
3 47
6 3 4
5?
(A) 43 (B) 49 (C) 39 (D) 45
Ans. (C) Sol. 7 × 3 + 6 × 5 = 51, 5 × 7 + 3 × 4 = 47, 6 × 4 + 5 × 3 = 39.
(A) 42 (B) 45 (C) 52 (D) 32
Ans. (NA) Sol. Question is incorrect Instruction : In question no.21 to 25, English alphabets are given digital number/code. Using them, find the correct digital number/code for given English word by chossing the correct option given below.
21. If GOOD = 715154 then NEWS =? (A) 1452391 (B) 1425391 (C) 1425913 (D) 1452319 Ans. (D) Sol. Place values of alphabets. G = 7, O = 15, D = 4, So N = 14, E = 5, W = 23, S = 19, NEWS = 1452319 22. If GOAT = 43 then COW = _______. (A) 40 (B) 41 (C) 51 (D) 50 Ans. (B) Sum of place value alphabets Sol. G + O + A + T = 7 + 15 + 1 + 20 = 43, C + O + W = 3 + 15 + 23 = 41 23. If CAMEL = XZNVO then BUAL =? (A) YPQYO (B) YRPQO (C) YRQZO (D) YRZPO Ans. (C) Sol. C(3rd^ from start)=X(3rd^ from last) A(1st^ from start)=Z(1st^ from last) M(13th^ from start)=N(13th^ from last) E(5th^ from start)=V(5th^ from last) L(12th^ from start)=O(12th^ from last) So BIJAL=YRQZO
24. If WINDOW = 987659 and TREE = 3422 then WINTER =? (A) 987342 (B) 987432 (C) 987423 (D) 987324 Ans. (D) Sol. W = 9, I = 8, N = 7, T = 3, E = 2, R = 4. 25. If MANU = 13 - 1 - 14 -10 - 21 then RITJU =? (A) 17 - 9 - 19 - 10 - 21 (B) 18 - 9 - 19 -10 -21 (C) 18 - 9 - 20 - 10 - 21 (D) 17 - 9 - 20 - 10 - 21 Ans. (C) Sol. Place values of alphabets RITJU=18 – 9 – 20 – 10 – 21 Instruction : According to the question, chosse the correct option in question no. 26 to 50. 26. Find the correct co-related word, centimetre : metre ::? :? (A) Wall : House (B) Killometre : Foot (C) Kilogram : Foot (D) Millilitre : Litre Ans. (D) Sol. centimetre and metre are units of length. In same way millilitre and litre are units of volume. 27. Find the correct co-related number, 5 : 36 ::? (A) 48 (B) 50 (C) 49 (D) 56 Ans. (NA) Sol. Question is incomplete 28. Find the correct co-related character : E : V :: I :? (A) Q (B) R (C) S (D) T Ans. (B) Sol. E(5th^ from start)=V(5th^ from last) I(9th^ from start)=R(9th^ from last) 29. If + means ×, – means ¸, × means +, and ¸ means – are considered then find the value of 10 × 18 – 9 + 3 + 1 (A) 15 (B) 20 (C) 168 (D) 180 Ans. (A) Sol. After changing the signs equations becomes 10 +18 ¸ 9 × 3 – 1= 30. If + means ×, – means +, × means –, and ¸ means – are considered then find the value of (8 – 6) + (7 × 4) ¸ 4 (A) 46 (B) 42 (C) – 38 (D) 38 Ans. (D) Sol. After changing the signs equation becomes (8 + 6) × (7 – 4) – 4 = 38 31. Which of the four option given below shows the correct sequence of the given words? (1) service (job) (2) Examination (3) Learning (4) Admission (5) Result (A) 1,4,2,3,5 (B) 4,3,2,5,1 (C) 5,4,3,2,1 (D) 2,3,5,1, Ans. (B) Sol. Correct order is admission, learning, examination, result, service (job)
40. 'A' and 'B' are brother and sister. Their father is 'C’. 'D' is sister of 'A'. 'E' is mother of 'C’ & 'D’. Then what will be 'B' of 'E'? (A) Grand daughter (B) Great grand child (daughter) (C) Aunt (D) Wife Ans. (A)
Sol.
A B
C
E Mother Father
Brother Sister
41. A person was watching a photo. He said : 'I had neither brother nor sister but this person's father is the only son of my grand father'. Then whose photo was that person was watching? (A) His son (B) His father (C) Himself (D) His Uncle Ans. (C) Sol. (^) Grand Father
Father
Photo Person
42. Suresh and Mahesh were in opposite direction of each other in the evening on the Gujarat University ground. The shadow'of Mahesh appears on his right side. Then in which direction Suresh's mouth will be? (A) East (B) South (C) West (D) North Ans. (B) Sol. If Mahesh's shadow appears on his right, then Mahesh is facing North, and Suresh is opposite of Mahesh so Suresh is facing South. 43. Manish's number is 14th^ from right side in queue of 40 students. Then from the left side at which number will his place be? (A) 27th^ (B) 28th^ (C) 29th^ (D) 30th Ans. (A) Sol. Number of students from left side including manish will be 27. 44. 'Turn back – see front". How many degree angle will be formed by a man in this situation? (A) 90° (B) 180° (C) 60° (D) 270° Ans. (B) Sol. On turning back man will makes an angle of 180°. 45. Which number is wrong in following series? 41, 41, 42, 44, 48, 51, 56 (A) 48 (B) 51 (C) 56 (D) 41 Ans. (A) Sol. 41 + 0 = 41, 41 + 1 = 42, 42 + 2 = 44, 44 + 3 = 47. So 48 is wrong term
In the above series, how many 3's are there such that 1 comes after and 4 comes before? (A) 5 (B) 4 (C) 3 (D) 2 Ans. (C) Sol. 6 431 453121 431 7 431 2931
47. Which word can be made with the characters of the given words. "INTERNATIONAL" (A) ANNUAL (B) LAMINATION (C) TERMINATE (D) INTERNAL Ans. (D) Sol. All the alphabets of INTERNAL are present in INTERNATIONAL. 48. In the following options three are similar group but one is different from them. Find that different option. (A) 24 - 36 (B) 44 - 56 (C) 39 - 45 (D) 66 - 78 Ans. (C) Sol. 24 - 36 (difference of 12) 44 - 56 (difference of 12) 39 - 45 (difference of 6) 66 - 70 (difference of 12) 49. In the following options three are similar group but one is different from them. Find that different option. (A) QRS (B) XYZ (C) STU (D) MLN Ans. (D) Sol. QRS, XYZ, STU are group of consecutive letters but MLN are not. 50. Richa walks 4 km in the direction of sun on sunset time. Then she turns a right and walks 1 km. She turns left and walks 1 km then she turns left and walks 1 km. Now how many km would she away from her origin? (A) 3 (B) 4 (C) 5 (D) 6 Ans. (C)
Sol. 1 km
1 km 1 km
4 km
5 km
Richa is 5 km away from her origin.
