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🇮🇳 RBI Grade B Officer · subject
RBI Grade B Officer Quantitative Aptitude and Data Interpretation Syllabus
The Quantitative Aptitude and Data Interpretation syllabus for RBI Grade B Officer in full: 3 chapters, 10 topics and 20 sub-topics, every one listed below, plus 50 Quantitative Aptitude and Data Interpretation flashcards with answers.
Quantitative Aptitude and Data Interpretation syllabus: all 3 chapters
Expand any chapter to see its topics and sub-topics.
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Number System and Arithmetic
4 topics- Number Properties and Simplification
- LCM, HCF, factors
- BODMAS and approximation
- Percentages, Ratio and Proportion
- Percentage change and applications
- Partnership and mixtures
- Profit, Loss and Interest
- Discount and markup
- Simple and compound interest
- Time, Speed, Distance and Work
- Trains, boats and streams
- Time and work, pipes and cisterns
- Number Properties and Simplification
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Algebra and Advanced Mathematics
3 topics- Equations and Inequalities
- Linear and quadratic equations
- Quadratic comparison problems
- Permutation, Combination and Probability
- Counting principles
- Basic probability
- Sequences and Series
- Arithmetic and geometric progressions
- Number series completion
- Equations and Inequalities
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Data Interpretation and Analysis
3 topics- Tabular and Graphical DI
- Bar graphs and line charts
- Pie charts and tables
- Caselet and Mixed DI
- Paragraph-based caselets
- Missing data DI
- Data Sufficiency
- Two-statement sufficiency
- Quantity comparison
- Tabular and Graphical DI
RBI Grade B Officer Quantitative Aptitude and Data Interpretation flashcards — 50 questions with answers
What is the divisibility rule for 8?
A number is divisible by 8 if its last three digits form a number divisible by 8.
State the divisibility rule for 11.
A number is divisible by 11 if the difference between the sum of digits in odd positions and the sum of digits in even positions is 0 or a multiple of 11.
How are HCF and LCM of two numbers related to the numbers themselves?
HCF x LCM = product of the two numbers.
What is the formula for the sum of the first n natural numbers?
n(n+1)/2.
What is the formula for the sum of the squares of the first n natural numbers?
n(n+1)(2n+1)/6.
What is the formula for the sum of the cubes of the first n natural numbers?
[n(n+1)/2]^2, i.e. the square of the sum of the first n natural numbers.
How do you find the number of factors of a number from its prime factorization p^a x q^b x r^c?
Multiply (a+1)(b+1)(c+1).
What is the unit digit of any power of a number ending in 5 or 6?
It is always 5 (for numbers ending in 5) and always 6 (for numbers ending in 6).
What is the formula to convert a fraction to a percentage?
Percentage = (fraction value) x 100, i.e. (part/whole) x 100.
If a value increases by x% and then decreases by x%, what is the net change?
A net decrease of x^2/100 percent.
For successive percentage changes of a% and b%, what is the net percentage change?
a + b + (ab/100) percent (signs of a and b included).
If A is x% more than B, by what percent is B less than A?
B is less than A by [x/(100+x)] x 100 percent.
In a ratio a:b, if both terms are multiplied by the same nonzero number, what happens to the ratio?
The ratio remains unchanged.
What does the proportion a:b :: c:d imply about the products of terms?
The product of the means equals the product of the extremes: b x c = a x d.
How do you find the mean proportional between two numbers a and b?
It is the square root of (a x b).
What is the basic formula for profit percentage?
Profit% = (Profit / Cost Price) x 100.
What is the formula for Selling Price in terms of Cost Price and gain percent?
SP = CP x (100 + gain%)/100.
If two items are sold at the same price, one at x% profit and the other at x% loss, what is the overall result?
There is always a net loss of x^2/100 percent.
What is the simple interest formula?
SI = (P x R x T)/100, where P is principal, R is rate per annum, T is time in years.
What is the compound interest amount formula for annual compounding?
A = P(1 + R/100)^T, and CI = A - P.
Show the other 30 Quantitative Aptitude and Data Interpretation flashcards
For 2 years, what is the difference between compound interest and simple interest on principal P at rate R%?
Difference = P x (R/100)^2.
How does compounding half-yearly change the CI formula?
Rate becomes R/2 per period and time becomes 2T periods: A = P(1 + R/200)^(2T).
What is the relationship between speed, distance and time?
Speed = Distance / Time; Distance = Speed x Time; Time = Distance / Speed.
How do you convert km/h to m/s?
Multiply by 5/18.
How do you convert m/s to km/h?
Multiply by 18/5.
What is the average speed for a journey covering equal distances at speeds x and y?
Average speed = 2xy/(x+y) (the harmonic mean of the two speeds).
Two trains moving in opposite directions cross each other; what relative speed is used?
The sum of their speeds.
What is the relative speed of two trains moving in the same direction?
The difference of their speeds.
In boats and streams, what are upstream and downstream speeds if boat speed is b and stream speed is s?
Downstream = b + s; Upstream = b - s.
If A can do a job in n days, what is A's one-day work?
1/n of the work.
If A and B do a job in a and b days respectively, in how many days do they finish together?
ab/(a+b) days.
What is the standard form of a quadratic equation and its roots formula?
ax^2 + bx + c = 0; roots = [-b ± sqrt(b^2 - 4ac)] / 2a.
What does the discriminant b^2 - 4ac tell you about the roots of a quadratic?
Positive: two distinct real roots; zero: two equal real roots; negative: no real (complex) roots.
For ax^2 + bx + c = 0, what are the sum and product of the roots?
Sum of roots = -b/a; product of roots = c/a.
When you multiply or divide both sides of an inequality by a negative number, what happens?
The inequality sign reverses.
What is the formula for the number of permutations of n distinct items taken r at a time?
nPr = n! / (n - r)!.
What is the formula for combinations of n distinct items taken r at a time?
nCr = n! / [r! (n - r)!].
What is the relationship between nPr and nCr?
nPr = nCr x r!.
State the basic definition of the probability of an event.
Probability = (number of favourable outcomes) / (total number of equally likely outcomes).
For mutually exclusive events A and B, what is P(A or B)?
P(A) + P(B).
For independent events A and B, what is P(A and B)?
P(A) x P(B).
What is the nth term of an arithmetic progression with first term a and common difference d?
a + (n - 1)d.
What is the sum of the first n terms of an AP?
S = n/2 [2a + (n-1)d], or n/2 (first term + last term).
What is the nth term of a geometric progression with first term a and common ratio r?
a x r^(n-1).
What is the sum to infinity of a GP with |r| < 1?
a / (1 - r).
In a pie chart, how is each category's value related to its central angle?
Value/Total = central angle/360 degrees; each percentage corresponds to 3.6 degrees.
What is a caselet in Data Interpretation?
A DI set where data is presented as a paragraph of text rather than a table or graph, requiring you to extract values yourself.
In DI, how do you compute percentage change between two periods?
[(New value - Old value) / Old value] x 100.
In a Data Sufficiency question, what are you required to determine?
Whether the given statements provide enough information to answer the question, not the actual numerical answer itself.
In standard Data Sufficiency answer options, what does it mean when 'each statement alone is sufficient'?
Statement I alone answers the question AND Statement II alone answers it independently; either one is enough on its own.
RBI Grade B Officer Quantitative Aptitude and Data Interpretation FAQ
What is in the RBI Grade B Officer Quantitative Aptitude and Data Interpretation syllabus?
RBI Grade B Officer Quantitative Aptitude and Data Interpretation is split into 3 chapters: Number System and Arithmetic, Algebra and Advanced Mathematics and Data Interpretation and Analysis. Together they contain 10 topics and 20 sub-topics.
How many chapters are in RBI Grade B Officer Quantitative Aptitude and Data Interpretation?
3 chapters, containing 10 topics and 20 sub-topics. The largest chapter is Number System and Arithmetic, with 4 topics.
Are there flashcards for RBI Grade B Officer Quantitative Aptitude and Data Interpretation?
Yes — a 50-card Quantitative Aptitude and Data Interpretation deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.