SBI PO Sample Paper Practice Set - Reasoning

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Reasoning/Mental Aptitude How to Solve Questions Based on Number Series ď ś Most of the number series can be solved by addition and subtraction ( Multiplication and Division being the Supersets for these). In plain English that means you need to find what to add or subtract to find the next (or missing) number in the series. ď ś We will understand the concept by solving a few questions and then you can attempt some on your own.

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Example 1: Find the next number in the series: 1, 3, 6, 10, 15,____ Answer: Looking at the series we find that the series is an â€œ INCREASINGâ€? sequence. So we try to find what is being added. Here the series is 1, 1+2, 1+2+3, 1+2+3+4 Or Add 1,2,3,4 and so on to the last number. 1+2=3, 3+3=6, 6+4=10, 10+5=15 So the answer is 15+6=21

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Practice Question 1: (a) 145 Ans (a)

21, 25, 33, 49, 81 ___

(b)129

(c)113

(d)97

Example 2: Find the next number in the series: 87, 80, 74, 69, 65,___ Answer: Looking at the series we find that the series is a “ DECREASING” sequence. So we try to find what is being subtracted. The series is 87, 87-7=80, 80-6=74, 74-5=69, 69-4=65 So the answer is 65-3=62

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Practice Question 2: (a) 13.5 Ans (a)

66, 36, 21,___

(b)14.5

(c)13

(d)14

Example 3: Find the next number in the series: 40,15,30,25,20,35,___ Answer: Looking at the series we find that the series is a ”MIXED” sequence. By mixed series we mean that it is composed of two different series. i.e. 40,30,20,…(decreasing) and 15,25,35,…(increasing) The trick here is to know which series will give us the answer. We see that the missing number 20-10=10 Leepe Tutorials

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Practice Question 3: (a) 1 Ans (c)

(b)75

7.5, 5, 15, 4, 30, 3,60, 2,___ (c)120

(d)135

Complete the Series Series completion involves finding the next item, or the missing items in a given pattern. You have to identify a repeating pattern in the given series to get to the missing item.

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Complete the Series â€“ Solved Examples I. Alphabet series a. Increasing by a definite number Q no 1. I J K L

Ans M (each letter increases by 1) Q no 2. A G M S Y

Ans E (each letter increases by 6 place to its right position) b. Decreasing by a definite number Q no 3. Z X V T R P

Ans N (each letter decreases by 6 place to its right position) Leepe Tutorials

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c. Increasing Successively Q no 4. D E G J N S ?

Ans Y (+1, +2, +3, +4, +5…) d. Decreasing successively Q no 5. Z Y W T P

Ans K (-1, -2, -3, -4, -5…) e. Decreasing and Increasing by a constant value. Q no 6. D F E B D A C Z

Ans B (+2, -3, +2, -3,…)

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II. Alphanumeric Series Q no 1. Z1A, X2D, V6G, T21J, R88M, P445P,…. ?

Q no 2. 2Z5, 7Y7, 14X9, 23W11, 34V13,…. ?

Ans. First numeral: 2, 7, 14, 23, 34 (+5, +7, +9, +11…) Second letter: ZYXWV (decreases by 1 each time) Third numeral: 5, 7, 9 ,11, 13(increase by 2 each time) So next term is 47U15

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