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SBI SO Quantitative Aptitude

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SBI SO Quantitative Aptitude

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State Bank of India (SBI) has announced a notification for the recruitment of SPECIALIST CADRE OFFICERS for the enrollment of 477 Posts. The aspirants of SBI SO will get the complete details of SBI SO Notification related important dates, and Vacancies. Candidates, can check the information related to SBI SO Notification through the Official Website.
Preliminary Examination is important to qualify for the Mains Examination. SPLessons has made a sincere effort to provide a list of Quantitative Aptitude related questions through the article SBI SO Quantitative Aptitude .

shape Pattern

Quantitative Aptitude - Exam Pattern:
Test No. of Questions Time Max. Marks

General Aptitude* 		Test of Reasoning 50 50*
90 minutes
Quantitative Aptitude 35 35*
English Language 35 35*

Professional Knowledge (PK) 		Role based Knowledge 50 100
70 minutes
General IT Knowledge 25 50

shape Syllabus

Quantitative Aptitude - Syllabus:
S.No. Topics
1 Number Systems
2 Averages
3 Percentages
4 Profit and Loss
5 Discount
6 Decimals and Fractions
7 Ratio and Proportion
8 Interest
9 Mensuration
10 Use of Tables and Graphs
11 Time and Work
12 Time and Distance
13 Computation of Whole Numbers etc.

shape Samples

1. ([latex]{x}^{n}[/latex] - [latex]{a}^{n}[/latex]) is completely divisible by (x - a), when
    A. n is any natural number B. n is an even natural number C. n is and odd natural number D. n is prime

Answer: Option A
Explanation: For every natural number n, [latex]{x}^{n}[/latex] - [latex]{a}^{n}[/latex], is completely divisible by (x - a)
1. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
    A. 17 kg B. 20 kg C. 26 kg D. 31 kg

Answer: Option D
Explanation: Let A, B, C represent their respective weights. Then, we have: A + B + C = (45 x 3) = 135 .... (i) A + B = (40 x 2) = 80 .... (ii) B + C = (43 x 2) = 86 ....(iii) Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv) Subtracting (i) from (iv), we get : B = 31. B's weight = 31 kg.
1. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
    A. 1 B. 14 C. 20 D. 21

Answer: Option C
Explanation: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such number = 14 Required percentage = [[latex]\frac{14}{70}[/latex] x 100]% = 20%.
1. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
    A. Rs. 45 B. Rs. 50 C. Rs. 55 D. Rs. 60

Answer: Option D
Explanation: (C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls) ⇒C.P. of 12 balls = S.P. of 17 balls = Rs.720. ⇒C.P. of 1 ball = Rs. [latex]\frac{720}{12}[/latex] = Rs. 60.
1. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
    A. 0% B. 5% C. 7.5% D. 10%

Answer: Option A
Explanation: C.P. = Rs. 3000. S.P. = Rs. [latex]\frac{3600 × 100}{100 + (10 × 2) }[/latex] = Rs. 3000. Gain = 0%.
1. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?
    A. 0.172 B. 1.72 C. 17.2 D. 172

Answer: Option C
Explanation: = [latex]\frac{29.94}{1.45}[/latex] = [latex]\frac{299.4}{14.5}[/latex] = [latex]\frac{299.4}{14.5}[/latex] x [latex]\frac{1}{10}[/latex] = [latex]\frac{172}{10}[/latex] = 17.2
1. The fourth proportional to 5, 8, 15 is:
    A. 18 B. 24 C. 19 D. 20

Answer: Option B
Explanation: Let the fourth proportional to 5, 8, 15 be x. Then, 5: 8: 15: x ⇒ 5x = (8 x 15) x = [latex]\frac{8 × 15}{5}[/latex] = 24
1. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
    A. Rs. 650 B. Rs. 690 C. Rs. 698 D. Rs. 700

Answer: Option C
Explanation: S.I. for 1 year = Rs. (854 - 815) = Rs. 39. S.I. for 3 years = Rs.(39 x 3) = Rs. 117. Principal = Rs. (815 - 117) = Rs. 698.
1. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
    A. 720 B. 900 C. 1200 D. 1800

Answer: Option C 2(15 + 12) x h = 2(15 x 12) ⇒ h = [latex]\frac{180}{27}[/latex]m = [latex]\frac{20}{3}[/latex]m Volume = (15 x 12 x [latex]\frac{20}{3}[/latex])[latex]{m}^{3}[/latex] = 1200[latex]{m}^{3}[/latex]

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