RBI Grade B Quantitative Aptitude — 100 Advanced MCQs with Solutions | CrackTarget

RBI 2027 Exam Cycle · Phase 1 Quant

RBI Grade B Quantitative Aptitude

The most complete free Quant page for RBI Grade B Phase 1 — official pattern, high-weightage syllabus, a 40-day ranker plan, and 100 original exam-level MCQs with step-by-step solutions. Built for the 25-minute, 30-question grind where one sloppy series costs the sectional cut-off.

30 / 30Questions · Marks

25 minSection time

−0.25Negative mark

12–15Typical sectional cut-off

Why Quant decides Phase 1

General Awareness is the giant, Reasoning eats 45 minutes, English is volatile. Quant is the only 30-mark section you can industrialise. Recent papers put 10–17 questions in Data Interpretation, then Number Series, Quadratic / Quantity Comparison and a thin arithmetic tail. You get ~50 seconds a question. The winning attempt profile is 22–26 questions at 85%+ accuracy, not 30 blind ticks.

Phase 1 Quant pattern

Item	Detail
Questions	30
Marks	30 (1 mark each)
Time	25 minutes (sectional)
Negative marking	0.25 per wrong answer
Difficulty trend	Moderate to High
Safe attempt	22–26 with accuracy

How recent papers split

Topic	Typical Qs
Data Interpretation	10–17
Number / Wrong Series	3–5
Quadratic Equations	0–4
Quantity Comparison	0–5
Arithmetic (mixed)	4–8
Data Sufficiency / Approx	0–4

Syllabus — study what the paper actually asks

RBI does not print a line-by-line Phase 1 Quant syllabus. The list below is decoded from recent papers. Tags show relative weight.

High

Data Interpretation

Table, bar, line, pie, mixed and caselet DI. Percentage change, ratio, average, missing values. Two-variable sets are the new default.

High

Number Series

Missing term and wrong-term. Patterns: ×n±n, ×n+n², n³±k, doubling differences, half-multipliers.

High

Quantity Comparison

Quantity I vs II from arithmetic, algebra or geometry. Includes “cannot be determined”.

Medium

Quadratic Equations

Compare roots of two equations. Sign-aware comparison. Nature of roots, ratio of roots.

High

Arithmetic core

Profit & loss, SI/CI, time-speed-distance, boats, time & work, pipes, ratio, partnership, ages.

Medium

The rest

Data sufficiency, approximation, mixture, percentage, mensuration 2D/3D, probability, averages.

40-day plan used by 24+ scorers

Days 1–12 · Concepts

One arithmetic chapter a day with short tricks.
50 series / day until patterns feel automatic.
Approximation drills — no calculator.

Days 13–28 · Sets

8–10 DI sets daily (table + caselet).
20 Quantity + Quadratic mixed.
Timed blocks: 22 questions in 20 minutes.

Days 29–40 · Mocks

Full Phase 1 mock every second day.
Error log — write the trap, not just the answer.
Revise only weak arithmetic.

Exam-hall order: Number Series → DI set you can read in 20 seconds → Approximation → easy Arithmetic → Quadratic / Quantity last. Skip a DI set that needs three variables in the first minute. Negative marking punishes heroics.

100 advanced MCQs — RBI Grade B standard

Original questions written at Phase 1 difficulty. Options are shuffled. Attempt first, then open the solution. Target: the full set in 110–120 minutes on paper 1, then again under a 90-minute clock.

Number Series

10 exam-level questions · click any solution after you attempt

Q01 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 7, 8, 18, 57, 232, 1165, ?

A7032B7010C6984D6996E6966

Show detailed solution

Correct answer: D · 6996

Pattern: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6. Last step: 1165×6+6 = 6996.

Q02 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 3, 10, 29, 66, 127, 218, ?

A351B339C361D343E345

Show detailed solution

Correct answer: E · 345

Each term = n³ + 2. For n=7: 343+2 = 345.

Q03 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 5, 11, 24, 51, 106, 217, ?

A444B436C440D448E452

Show detailed solution

Correct answer: C · 440

×2+1, ×2+2, ×2+3, ×2+4, ×2+5, ×2+6. 217×2+6 = 440.

Q04 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 4, 18, 48, 100, 180, 294, ?

A432B454C448D442E456

Show detailed solution

Correct answer: C · 448

n²×(n−1) for n=2,3,…8. 8²×7 = 448.

Q05 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 2, 3, 8, 27, 112, 565, ?

A3384B3420C3408D3396E3372

Show detailed solution

Correct answer: D · 3396

×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6. 565×6+6 = 3396.

Q06 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 13, 16, 22, 34, 58, 106, ?

A202B198C210D206E194

Show detailed solution

Correct answer: A · 202

Differences +3,+6,+12,+24,+48 (doubling). Next +96 → 106+96 = 202.

Q07 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 8, 4, 4, 6, 12, 30, ?

A80B84C75D90E96

Show detailed solution

Correct answer: D · 90

×0.5, ×1, ×1.5, ×2, ×2.5, ×3. 30×3 = 90.

Q08 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 11, 24, 51, 106, 217, 440, ?

A891B895C881D883E887

Show detailed solution

Correct answer: E · 887

×2+2, ×2+3, ×2+4, ×2+5, ×2+6, ×2+7. 440×2+7 = 887.

Q09 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 17, 19, 23, 29, 37, 47, ?

A61B59C53D57E58

Show detailed solution

Correct answer: B · 59

Differences +2,+4,+6,+8,+10,+12. 47+12 = 59.

Q10 Number Series RBI Grade B · Phase 1

What will come in place of the question mark? 6, 11, 21, 41, 81, 161, ?

A325B331C315D321E319

Show detailed solution

Correct answer: D · 321

Each term = previous × 2 − 1. 161×2 − 1 = 321.

Wrong Number Series

6 exam-level questions · click any solution after you attempt

Q11 Wrong Number Series RBI Grade B · Phase 1

Find the wrong number: 2, 6, 12, 20, 30, 43, 56

A20B43C30D56E12

Show detailed solution

Correct answer: B · 43

n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42, 7×8=56. 43 is wrong.

Q12 Wrong Number Series RBI Grade B · Phase 1

Find the wrong number: 3, 5, 9, 17, 33, 64, 129

A17B33C64D9E129

Show detailed solution

Correct answer: C · 64

×2 − 1: 33×2 − 1 = 65, not 64. Then 65×2 − 1 = 129.

Q13 Wrong Number Series RBI Grade B · Phase 1

Find the wrong number: 5, 6, 16, 57, 244, 1240, 7506

A6B244C1240D16E57

Show detailed solution

Correct answer: C · 1240

×n + n²: 244×5 + 25 = 1245, not 1240. 1245×6+36 = 7506.

Q14 Wrong Number Series RBI Grade B · Phase 1

Find the wrong number: 8, 9, 20, 63, 255, 1285, 7716

A63B255C9D20E1285

Show detailed solution

Correct answer: B · 255

×n + n: 63×4 + 4 = 256, not 255. 256×5+5 = 1285.

Q15 Wrong Number Series RBI Grade B · Phase 1

Find the wrong number: 1, 2, 6, 21, 85, 445, 2676

A6B21C445D85E2

Show detailed solution

Correct answer: D · 85

×n + n: 21×4 + 4 = 88, not 85. 88×5+5 = 445; 445×6+6 = 2676.

Q16 Wrong Number Series RBI Grade B · Phase 1

Find the wrong number: 12, 13, 27, 82, 327, 1646, 9877

A13B1646C82D27E327

Show detailed solution

Correct answer: E · 327

×n + 1: 82×4 + 1 = 329, not 327. 329×5+1 = 1646; 1646×6+1 = 9877.

Quadratic Equations

8 exam-level questions · click any solution after you attempt

Q17 Quadratic Equations RBI Grade B · Phase 1

Roots of x² − 18x + k = 0 are in the ratio 2 : 1. Find k.

A72B64C54D96E80

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Correct answer: A · 72

Roots 2α and α. Sum 3α=18 ⇒ α=6. Roots 12, 6. Product k=72.

Q18 Quadratic Equations RBI Grade B · Phase 1

I. x² − 13x + 40 = 0 II. y² − 15y + 54 = 0. Relation between x and y?

Ax > yBx ≤ yCx < yDx = y or relation cannot be establishedEx ≥ y

Show detailed solution

Correct answer: D · x = y or relation cannot be established

x=5 or 8; y=6 or 9. Pairs exist with xy. No unique relation.

Q19 Quadratic Equations RBI Grade B · Phase 1

I. 2x² − 11x + 15 = 0 II. 2y² − 7y + 6 = 0. Relation between x and y?

Ax < yBx > yCx ≥ yDrelation cannot be establishedEx ≤ y

Show detailed solution

Correct answer: B · x > y

x=5/2 or 3; y=3/2 or 2. Every x is greater than every y. So x > y.

Q20 Quadratic Equations RBI Grade B · Phase 1

One root of x² − 7x + m = 0 is 3. The other root and m are:

A4 and 21B2 and 6C4 and 10D5 and 15E4 and 12

Show detailed solution

Correct answer: E · 4 and 12

Sum=7 ⇒ other root=4. Product m=3×4=12.

Q21 Quadratic Equations RBI Grade B · Phase 1

I. x² + 5x + 6 = 0 II. y² + 7y + 12 = 0. Relation between x and y?

Ax ≤ yBx ≥ yCx < yDrelation cannot be establishedEx > y

Show detailed solution

Correct answer: B · x ≥ y

x=−2 or −3; y=−3 or −4. In all cases x ≥ y.

Q22 Quadratic Equations RBI Grade B · Phase 1

x² − 6x + k = 0 has equal roots. Find k.

A3B9C12D6E18

Show detailed solution

Correct answer: B · 9

Disc=0: 36−4k=0 ⇒ k=9. Double root = 3.

Q23 Quadratic Equations RBI Grade B · Phase 1

I. x² − 9x + 18 = 0 II. y² − 5y + 6 = 0. Relation between x and y?

Ax ≥ yBrelation cannot be establishedCx > yDx < yEx ≤ y

Show detailed solution

Correct answer: A · x ≥ y

x=3 or 6; y=2 or 3. Always x ≥ y.

Q24 Quadratic Equations RBI Grade B · Phase 1

Sum of the roots of 2x² − 5x − 3 = 0 is:

A−3/2B5/2C−5/2D5E3/2

Show detailed solution

Correct answer: B · 5/2

Sum = −b/a = 5/2. Check: roots 3 and −1/2; sum 5/2.

Quantity Comparison

8 exam-level questions · click any solution after you attempt

Q25 Quantity Comparison RBI Grade B · Phase 1

Quantity I: value of x if (x+3)² − (x−2)² = 45.
Quantity II: positive root of 3y² − 14y + 15 = 0.

AQuantity I ≥ Quantity IIBQuantity I = Quantity IICQuantity I < Quantity IIDRelationship cannot be determinedEQuantity I > Quantity II

Show detailed solution

Correct answer: E · Quantity I > Quantity II

I: (x²+6x+9)−(x²−4x+4)=10x+5=45 ⇒ 10x=40 ⇒ x=4.
II: 3y²−14y+15=0 ⇒ (3y−5)(y−3)=0 ⇒ y=5/3 or 3. Positive roots 5/3 and 3; the usual comparison uses both, but the question asks the positive roots as a set. Taking the smaller positive root 5/3: 4 > 5/3. Taking 3: 4>3. Either way I > each listed value if we take the intended single-value II as the smaller, or I>3 still. 4>3 and 4>5/3 so I > II.

Q26 Quantity Comparison RBI Grade B · Phase 1

Quantity I: CI on ₹8,000 at 10% p.a. for 2 years.
Quantity II: SI on ₹9,000 at 10% p.a. for 2 years.

AI ≥ IIBI = IICcannot be determinedDI > IIEI < II

Show detailed solution

Correct answer: E · I < II

I: 8000×(1.1²−1)=8000×0.21=1680.
II: 9000×10×2/100=1800. I < II.

Q27 Quantity Comparison RBI Grade B · Phase 1

A boat speed in still water is 15 km/h; stream 3 km/h.
Quantity I: time to cover 36 km downstream (hours).
Quantity II: time to cover 24 km upstream (hours).

AI ≥ IIBI = IICI < IIDcannot be determinedEI > II

Show detailed solution

Correct answer: B · I = II

Downstream 18 km/h → 36/18=2 h. Upstream 12 km/h → 24/12=2 h. I = II.

Q28 Quantity Comparison RBI Grade B · Phase 1

Quantity I: 25% of 480. Quantity II: 40% of 300.

AI = IIBI < IICcannot be determinedDI ≥ IIEI > II

Show detailed solution

Correct answer: A · I = II

I=120, II=120. Equal.

Q29 Quantity Comparison RBI Grade B · Phase 1

x : y = 4 : 5 and x+y=36.
Quantity I: x. Quantity II: 2y − 24.

AI > IIBI < IICI = IIDI ≥ IIEcannot be determined

Show detailed solution

Correct answer: C · I = II

x=16, y=20. II=40−24=16. I=II.

Q30 Quantity Comparison RBI Grade B · Phase 1

Quantity I: number of ways to arrange 5 distinct books on a shelf.
Quantity II: 100.

AI < IIBI > IICcannot be determinedDI = IIEI ≥ II

Show detailed solution

Correct answer: B · I > II

5! = 120 > 100.

Q31 Quantity Comparison RBI Grade B · Phase 1

A can do a work in 12 days, B in 18 days.
Quantity I: days A and B together take.
Quantity II: 8 days.

AI < IIBI ≥ IICI = IIDcannot be determinedEI > II

Show detailed solution

Correct answer: A · I < II

Together 1/12+1/18=5/36 per day → 36/5=7.2 days < 8.

Q32 Quantity Comparison RBI Grade B · Phase 1

Quantity I: area of a circle of radius 7 cm (use π=22/7).
Quantity II: area of a rectangle 14 cm × 11 cm.

AI = IIBI < IICcannot be determinedDI > IIEI ≥ II

Show detailed solution

Correct answer: A · I = II

I=22/7×49=154. II=154. Equal.

Approximation

4 exam-level questions · click any solution after you attempt

Q33 Approximation RBI Grade B · Phase 1

Approximate: √(1023.98) + (14.97)² − 89.9 ÷ 4.98 = ?

A260B236C248D220E272

Show detailed solution

Correct answer: B · 236

√1024≈32, 15²=225, 90÷5=18. 32+225−18=239, nearest option 236.

Q34 Approximation RBI Grade B · Phase 1

Approximate: 39.98% of 449.9 + 125.1% of 79.8 − 14.9² = ?

A64B72C96D88E80

Show detailed solution

Correct answer: A · 64

40% of 450 = 180; 125% of 80 = 100; 15² = 225. 180+100−225 = 55, nearest listed 64.

Q35 Approximation RBI Grade B · Phase 1

Approximate: (24.96)² − (15.03)² + √121.1 = ?

A401B421C391D431E411

Show detailed solution

Correct answer: E · 411

(25^2 – 15^2)+11 = 400+11 = 411.

Q36 Approximation RBI Grade B · Phase 1

Approximate: 749.8 ÷ 24.9 + 12.02 × 7.98 − √80.9 = ?

A106B116C136D126E96

Show detailed solution

Correct answer: B · 116

750÷25=30; 12×8=96; √81=9. 30+96−9=117, nearest 116.

Data Interpretation

20 exam-level questions · click any solution after you attempt

Q37 Data Interpretation RBI Grade B · Phase 1

Study the table (production in ‘000 units) and answer the questions.
What is the average production of company P over the five years (in ‘000 units)?

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

A160B170C164D162E158

Show detailed solution

Correct answer: D · 162

P: 120+150+180+160+200 = 810. Average 810/5 = 162.

Q38 Data Interpretation RBI Grade B · Phase 1

Study the table (production in ‘000 units) and answer the questions.
Production of Q in 2023 is what percent of production of R in 2019?

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

A125%B90%C110%D80%E100%

Show detailed solution

Correct answer: E · 100%

Q 2023 = 160; R 2019 = 160. 160/160 × 100 = 100%.

Q39 Data Interpretation RBI Grade B · Phase 1

Study the table (production in ‘000 units) and answer the questions.
What is the ratio of total production of S in 2019–2021 to total production of Q in 2021–2023?

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

A5 : 6B4 : 5C2 : 3D1 : 1E3 : 4

Show detailed solution

Correct answer: E · 3 : 4

S 2019–21: 80+100+120=300. Q 2021–23: 100+140+160=400. 300:400 = 3:4.

Q40 Data Interpretation RBI Grade B · Phase 1

Study the table (production in ‘000 units) and answer the questions.
By what percent did R’s production increase from 2020 to 2022?

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

A40%B35.71%C25%D33.33%E30%

Show detailed solution

Correct answer: B · 35.71%

140 → 190. Increase 50. 50/140 × 100 = 250/7 ≈ 35.71%.

Q41 Data Interpretation RBI Grade B · Phase 1

Study the table (production in ‘000 units) and answer the questions.
Which company has the highest total production over five years?

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

ASBRCP and R equalDPEQ

Show detailed solution

Correct answer: B · R

P=810, Q=600, R=160+140+170+190+180=840, S=560. R is highest (840).

Q42 Data Interpretation RBI Grade B · Phase 1

The table shows employees in five departments of a firm.
What is the ratio of total males to total females in the firm?

Department	Male	Female
HR	48	72
IT	120	80
Finance	60	90
Ops	90	60
Sales	80	100

A398 : 402B4 : 5C1 : 1D199 : 201E5 : 6

Show detailed solution

Correct answer: D · 199 : 201

Males 48+120+60+90+80=398. Females 72+80+90+60+100=402. 398:402 = 199:201.

Q43 Data Interpretation RBI Grade B · Phase 1

The table shows employees in five departments of a firm.
Females in HR and Finance together form what percent of all employees?

Department	Male	Female
HR	48	72
IT	120	80
Finance	60	90
Ops	90	60
Sales	80	100

A22.5%B20.25%C16.4%D24%E18%

Show detailed solution

Correct answer: B · 20.25%

HR+Fin females=72+90=162. Total employees=398+402=800. 162/800×100 = 20.25%.

Q44 Data Interpretation RBI Grade B · Phase 1

The table shows employees in five departments of a firm.
In which department is the difference |male−female| the largest?

Department	Male	Female
HR	48	72
IT	120	80
Finance	60	90
Ops	90	60
Sales	80	100

AITBOpsCHRDFinanceESales

Show detailed solution

Correct answer: A · IT

HR 24, IT 40, Fin 30, Ops 30, Sales 20. Largest in IT (40).

Q45 Data Interpretation RBI Grade B · Phase 1

The table shows employees in five departments of a firm.
If 25% of IT males and 10% of Sales females leave, remaining employees in the firm are:

A750B770C745D740E760

Show detailed solution

Correct answer: E · 760

IT males leaving=30; Sales females leaving=10; total leaving=40. Remaining=800−40=760.

Q46 Data Interpretation RBI Grade B · Phase 1

The table shows employees in five departments of a firm.
Average number of females per department is:

Department	Male	Female
HR	48	72
IT	120	80
Finance	60	90
Ops	90	60
Sales	80	100

A84B82C80D78E80.4

Show detailed solution

Correct answer: E · 80.4

402/5 = 80.4.

Q47 Data Interpretation RBI Grade B · Phase 1

A school has 800 students in three streams — Science, Commerce and Arts — in the ratio 5 : 3 : 2. In Science, boys : girls = 3 : 2. In Commerce, boys are 60% of that stream. In Arts, girls are 20 more than boys.
How many students are in Science?

A240B320C400D480E360

Show detailed solution

Correct answer: C · 400

5+3+2=10 parts. Science=5/10×800=400.

Q48 Data Interpretation RBI Grade B · Phase 1

A150B180C240D200E160

Show detailed solution

Correct answer: E · 160

Science=400. Boys:girls=3:2 → girls=2/5×400=160.

Q49 Data Interpretation RBI Grade B · Phase 1

A96B160C144D180E120

Show detailed solution

Correct answer: C · 144

Commerce=3/10×800=240. Boys=60% of 240=144.

Q50 Data Interpretation RBI Grade B · Phase 1

A80B100C90D70E110

Show detailed solution

Correct answer: C · 90

Arts=160. Let boys=x, girls=x+20. 2x+20=160 ⇒ 2x=140 ⇒ x=70. Girls=90.

Q51 Data Interpretation RBI Grade B · Phase 1

A346B350C354D340E360

Show detailed solution

Correct answer: A · 346

Science girls 160 + Commerce girls 240−144=96 + Arts girls 90 = 346.

Q52 Data Interpretation RBI Grade B · Phase 1

A family has monthly income ₹50,000. Percentage split of expenditure/savings is given.
Amount spent on Food is how much more than on Education?

Head	% of income
Rent	20
Food	25
Education	15
Transport	10
Savings	18
Others	12

A₹2,500B₹6,000C₹4,000D₹7,500E₹5,000

Show detailed solution

Correct answer: E · ₹5,000

Food 25%=12,500; Education 15%=7,500. Difference ₹5,000.

Q53 Data Interpretation RBI Grade B · Phase 1

A family has monthly income ₹50,000. Percentage split of expenditure/savings is given.
The ratio of Rent to Savings is:

Head	% of income
Rent	20
Food	25
Education	15
Transport	10
Savings	18
Others	12

A4 : 3B9 : 10C2 : 1D10 : 9E5 : 4

Show detailed solution

Correct answer: D · 10 : 9

20 : 18 = 10 : 9.

Q54 Data Interpretation RBI Grade B · Phase 1

A family has monthly income ₹50,000. Percentage split of expenditure/savings is given.
If income rises 20% and Rent share stays 20% of the new income, new Rent is:

Head	% of income
Rent	20
Food	25
Education	15
Transport	10
Savings	18
Others	12

A₹12,000B₹10,000C₹12,500D₹9,600E₹11,000

Show detailed solution

Correct answer: A · ₹12,000

New income=60,000. 20% of 60,000=₹12,000.

Q55 Data Interpretation RBI Grade B · Phase 1

A family has monthly income ₹50,000. Percentage split of expenditure/savings is given.
Combined spend on Transport and Others is what percent of Savings?

Head	% of income
Rent	20
Food	25
Education	15
Transport	10
Savings	18
Others	12

A120%B100%C110%D130%E122.22%

Show detailed solution

Correct answer: E · 122.22%

Transport+Others=10+12=22% of income. Savings=18%. 22/18×100 = 122.22%.

Q56 Data Interpretation RBI Grade B · Phase 1

A family has monthly income ₹50,000. Percentage split of expenditure/savings is given.
If Food spend is reduced by 20% and the amount saved extra is added to Savings, new Savings =

Head	% of income
Rent	20
Food	25
Education	15
Transport	10
Savings	18
Others	12

A₹10,900B₹11,000C₹12,000D₹12,500E₹11,500

Show detailed solution

Correct answer: E · ₹11,500

Food was 12,500; 20% of 12,500=2,500. Old savings=9,000. New=9,000+2,500=11,500.

Data Sufficiency

6 exam-level questions · click any solution after you attempt

Q57 Data Sufficiency RBI Grade B · Phase 1

What is the value of x?
S1: 2x + 3y = 18.
S2: 3x + 2y = 17.

Aeither alone sufficientBeven both not sufficientCboth needed togetherDS2 alone sufficient, S1 notES1 alone sufficient, S2 not

Show detailed solution

Correct answer: C · both needed together

Two linear equations in two variables. Together: multiply S1 by 3 and S2 by 2: 6x+9y=54, 6x+4y=34. Subtract: 5y=20 ⇒ y=4, x=3. Both needed.

Q58 Data Sufficiency RBI Grade B · Phase 1

What is the speed of the boat in still water?
S1: Downstream speed is 20 km/h.
S2: Upstream speed is 12 km/h.

AS1 aloneBeither aloneCboth togetherDS2 aloneEneither even together

Show detailed solution

Correct answer: C · both together

Still water speed = (down+up)/2. Need both 20 and 12 → (20+12)/2 = 16 km/h.

Q59 Data Sufficiency RBI Grade B · Phase 1

Is n divisible by 12?
S1: n is divisible by 3.
S2: n is divisible by 4.

Aboth togetherBneither even togetherCS1 aloneDS2 aloneEeither alone

Show detailed solution

Correct answer: A · both together

12=3×4 and 3,4 coprime. Both statements together ⇒ n divisible by 12. Neither alone works (6 not by 12; 8 not by 12).

Q60 Data Sufficiency RBI Grade B · Phase 1

What is the area of the rectangle?
S1: Perimeter is 40 cm.
S2: Length is 4 cm more than breadth.

AS2 aloneBboth togetherCeither aloneDneither even togetherES1 alone

Show detailed solution

Correct answer: B · both together

2(l+b)=40 ⇒ l+b=20. l=b+4 ⇒ 2b+4=20 ⇒ b=8, l=12. Area=96. Both needed.

Q61 Data Sufficiency RBI Grade B · Phase 1

What is A’s present age?
S1: A is 4 years older than B.
S2: After 6 years the ratio A:B will be 5:4.

Aboth togetherBeither aloneCS1 aloneDneither even togetherES2 alone

Show detailed solution

Correct answer: A · both together

A=B+4. (A+6):(B+6)=5:4 → 4A+24=5B+30 → 4(B+4)+24=5B+30 → 4B+16+24=5B+30 → 40−30=5B−4B ⇒ B=10, A=14. Both needed.

Q62 Data Sufficiency RBI Grade B · Phase 1

What is the CI on a sum for 2 years?
S1: SI on the same sum for 2 years at the same rate is ₹400.
S2: Rate is 10% p.a.

Aboth togetherBS1 aloneCS2 aloneDeither aloneEneither even together

Show detailed solution

Correct answer: A · both together

SI= P×r×2/100=400 ⇒ Pr=20,000. CI−SI for 2 years = P(r/100)². Need P and r separately. From S2 r=10, then P=20,000/10=2,000. CI=2000×(1.21−1)=420. Both needed.

Profit & Loss

5 exam-level questions · click any solution after you attempt

Q63 Profit & Loss RBI Grade B · Phase 1

An article is marked 40% above cost and sold at 10% discount. Profit percent is:

A24%B32%C28%D30%E26%

Show detailed solution

Correct answer: E · 26%

Let CP=100. MP=140. SP=140×0.9=126. Profit=26%.

Q64 Profit & Loss RBI Grade B · Phase 1

A man sells two articles at ₹1,980 each. On one he gains 10%, on the other he loses 10%. Net result:

Aloss of ₹40Bloss of ₹20Cno profit no lossDgain of ₹20Egain of ₹40

Show detailed solution

Correct answer: A · loss of ₹40

SP same, +10% and −10% ⇒ always a loss of (10)²/100 = 1% of total CP. Total SP=3960=99% of CP ⇒ CP=4000. Loss=40.

Q65 Profit & Loss RBI Grade B · Phase 1

Cost of 15 articles equals selling price of 12 articles. Profit percent is:

A30%B18%C15%D25%E20%

Show detailed solution

Correct answer: D · 25%

15 CP = 12 SP ⇒ SP/CP = 15/12 = 5/4. Profit=25%.

Q66 Profit & Loss RBI Grade B · Phase 1

After two successive discounts of 10% and 20%, SP is ₹2,160. Marked price is:

A₹2,800B₹2,700C₹2,400D₹3,200E₹3,000

Show detailed solution

Correct answer: E · ₹3,000

SP = MP×0.9×0.8 = 0.72 MP = 2160 ⇒ MP = 2160/0.72 = 3000.

Q67 Profit & Loss RBI Grade B · Phase 1

A trader uses a 900 g weight instead of 1 kg and sells at the cost price. Profit percent is:

A11 1/9 %B10%C9 1/11 %D8%E12.5%

Show detailed solution

Correct answer: A · 11 1/9 %

CP of 900 g charged as CP of 1000 g. Profit = 100/900 ×100 = 11 1/9%.

SI & CI

5 exam-level questions · click any solution after you attempt

Q68 SI & CI RBI Grade B · Phase 1

SI on a sum for 3 years at 8% p.a. is ₹960. The sum is:

A₹3,200B₹5,000C₹3,600D₹4,800E₹4,000

Show detailed solution

Correct answer: E · ₹4,000

P×8×3/100=960 ⇒ 24P=96,000 ⇒ P=4,000.

Q69 SI & CI RBI Grade B · Phase 1

CI on ₹5,000 at 10% p.a. for 2 years, compounded annually, is:

A₹1,100B₹1,000C₹1,050D₹950E₹1,200

Show detailed solution

Correct answer: C · ₹1,050

Amount=5000×1.21=6050. CI=1,050.

Q70 SI & CI RBI Grade B · Phase 1

Difference between CI and SI on a sum for 2 years at 10% p.a. is ₹50. The sum is:

A₹5,000B₹4,500C₹5,500D₹4,000E₹6,000

Show detailed solution

Correct answer: A · ₹5,000

CI−SI = P(r/100)² = 50 ⇒ P×0.01=50 ⇒ P=5,000.

Q71 SI & CI RBI Grade B · Phase 1

A sum becomes ₹7,260 in 2 years at 10% p.a. CI. The sum is:

A₹6,500B₹5,800C₹5,500D₹6,000E₹6,200

Show detailed solution

Correct answer: D · ₹6,000

P×1.21=7260 ⇒ P=7260/1.21=6,000.

Q72 SI & CI RBI Grade B · Phase 1

SI for 2 years is ₹400 and CI for 2 years on the same principal at the same rate is ₹420. Rate is:

A12%B15%C8%D5%E10%

Show detailed solution

Correct answer: E · 10%

CI−SI=20=P(r/100)². SI= P×r×2/100=400 ⇒ Pr/50=400 ⇒ Pr=20,000. Then 20,000×r/10000=20 ⇒ 2r=20 ⇒ r=10%.

Time, Speed & Distance

5 exam-level questions · click any solution after you attempt

Q73 Time, Speed & Distance RBI Grade B · Phase 1

A train 180 m long crosses a pole in 12 seconds. Speed of the train is:

A60 km/hB45 km/hC54 km/hD72 km/hE48 km/h

Show detailed solution

Correct answer: C · 54 km/h

Speed=180/12=15 m/s = 15×18/5 = 54 km/h.

Q74 Time, Speed & Distance RBI Grade B · Phase 1

A 240 m train running at 72 km/h crosses a 160 m platform. Time taken is:

A15 sB16 sC18 sD20 sE24 s

Show detailed solution

Correct answer: D · 20 s

72 km/h=20 m/s. Distance=240+160=400 m. Time=400/20=20 s.

Q75 Time, Speed & Distance RBI Grade B · Phase 1

A boat goes 16 km downstream in 2 hours and returns in 4 hours. Speed of the stream is:

A3 km/hB2.5 km/hC2 km/hD4 km/hE1.5 km/h

Show detailed solution

Correct answer: C · 2 km/h

Down=8 km/h, up=4 km/h. Stream=(8−4)/2=2 km/h.

Q76 Time, Speed & Distance RBI Grade B · Phase 1

A and B start towards each other from 300 km apart at 40 km/h and 35 km/h. They meet after:

A5 hoursB3.5 hoursC6 hoursD4 hoursE4.5 hours

Show detailed solution

Correct answer: D · 4 hours

Relative 75 km/h. Time=300/75=4 h.

Q77 Time, Speed & Distance RBI Grade B · Phase 1

A man walks at 5 km/h and misses a train by 7 minutes. If he walks at 6 km/h he reaches 5 minutes early. Distance to station is:

A8 kmB4 kmC6 kmD5 kmE7 km

Show detailed solution

Correct answer: C · 6 km

Let distance d, scheduled time t hours from start.
d/5 = t+7/60; d/6 = t−5/60. Subtract: d/5−d/6=12/60=1/5. d/30=1/5 ⇒ d=6 km.

Time & Work

5 exam-level questions · click any solution after you attempt

Q78 Time & Work RBI Grade B · Phase 1

A can do a work in 10 days, B in 15 days. Days they take together:

A9B5C7.5D8E6

Show detailed solution

Correct answer: E · 6

1/10+1/15=1/6. Together 6 days.

Q79 Time & Work RBI Grade B · Phase 1

A and B together finish in 12 days. A alone takes 20 days. B alone takes:

A25 daysB28 daysC36 daysD24 daysE30 days

Show detailed solution

Correct answer: E · 30 days

B’s 1 day = 1/12 − 1/20 = (5−3)/60 = 1/30. B takes 30 days.

Q80 Time & Work RBI Grade B · Phase 1

Two pipes fill a tank in 12 min and 18 min. A waste pipe empties it in 36 min. Time to fill with all three open:

A8 minB10 minC9 minD12 minE7.2 min

Show detailed solution

Correct answer: C · 9 min

1/12+1/18−1/36 = (3+2−1)/36 = 4/36 = 1/9. 9 minutes.

Q81 Time & Work RBI Grade B · Phase 1

A is twice as efficient as B. Together they finish in 12 days. A alone takes:

A16 daysB15 daysC18 daysD20 daysE24 days

Show detailed solution

Correct answer: C · 18 days

A:B = 2:1. Combined 3 parts = 1/12 per day. A = 2/12 = 1/6 per day? 3 parts → 1/12, one part=1/36, A=2/36=1/18. A takes 18 days.

Q82 Time & Work RBI Grade B · Phase 1

12 men finish a work in 8 days. 8 men start and after 4 days 4 more join. Remaining work finishes in:

A4 daysB16/3 daysC6 daysD5 daysE3 days

Show detailed solution

Correct answer: B · 16/3 days

Total = 96 man-days. 8 men × 4 days = 32. Remaining 64 man-days / 12 men = 16/3 days.

Ratio, Ages & Partnership

6 exam-level questions · click any solution after you attempt

Q83 Ratio, Ages & Partnership RBI Grade B · Phase 1

Divide ₹1,860 in the ratio 3 : 4 : 5. The largest share is:

A₹800B₹720C₹620D₹775E₹744

Show detailed solution

Correct answer: D · ₹775

3+4+5=12 parts. 5/12×1860=775.

Q84 Ratio, Ages & Partnership RBI Grade B · Phase 1

Present ages of A and B are in ratio 4 : 5. After 8 years the ratio is 5 : 6. A’s present age is:

A32 yearsB28 yearsC24 yearsD36 yearsE40 years

Show detailed solution

Correct answer: A · 32 years

(4x+8)/(5x+8)=5/6 → 24x+48=25x+40 ⇒ x=8. A=32.

Q85 Ratio, Ages & Partnership RBI Grade B · Phase 1

A and B start a business with ₹40,000 and ₹60,000. After 8 months C joins with ₹80,000. If profit at year-end is ₹32,000, C’s share is:

A₹9,000B₹6,000C₹10,000D₹12,000E₹8,000

Show detailed solution

Correct answer: E · ₹8,000

Cap-months: A 40×12=480, B 60×12=720, C 80×4=320. Total 1520. C=320/1520×32000=8000.

Q86 Ratio, Ages & Partnership RBI Grade B · Phase 1

The average age of 5 members is 24. A new member of 30 years joins. New average is:

A24.5B25C25.5D26E24

Show detailed solution

Correct answer: B · 25

Total 120. New total 150. Average 150/6=25.

Q87 Ratio, Ages & Partnership RBI Grade B · Phase 1

A : B = 2 : 3 and B : C = 4 : 5. A : B : C is:

A8 : 12 : 15B4 : 6 : 5C2 : 3 : 5D8 : 12 : 10E6 : 9 : 10

Show detailed solution

Correct answer: A · 8 : 12 : 15

A:B=2:3=8:12. B:C=4:5=12:15. So 8:12:15.

Q88 Ratio, Ages & Partnership RBI Grade B · Phase 1

Father is 3 times as old as the son. After 12 years he will be twice as old. Son’s present age is:

A18 yearsB10 yearsC8 yearsD12 yearsE15 years

Show detailed solution

Correct answer: D · 12 years

F=3S. 3S+12=2(S+12) ⇒ 3S+12=2S+24 ⇒ S=12.

Mixture & Percentage

4 exam-level questions · click any solution after you attempt

Q89 Mixture & Percentage RBI Grade B · Phase 1

A 40-litre mixture is 20% alcohol. Alcohol to be added to make it 30% alcohol is:

A40/7 litresB6 litresC5 litresD8 litresE4 litres

Show detailed solution

Correct answer: A · 40/7 litres

Alcohol now=8 L, water=32 L (fixed). (8+x)/(40+x)=0.3 → 8+x=12+0.3x → 0.7x=4 → x=40/7 L.

Q90 Mixture & Percentage RBI Grade B · Phase 1

Milk and water in a vessel are in ratio 4 : 1. If 5 litres of water is added, ratio becomes 4 : 3. Original quantity of milk is:

A20 LB16 LC12 LD10 LE24 L

Show detailed solution

Correct answer: D · 10 L

Milk 4x, water x. 4x/(x+5)=4/3 => 12x=4x+20 => 8x=20 => x=2.5. Milk=10 L.

Q91 Mixture & Percentage RBI Grade B · Phase 1

A number is increased by 20% and then decreased by 20%. Net change is:

A4% decreaseB4% increaseC1% decreaseDno changeE2% decrease

Show detailed solution

Correct answer: A · 4% decrease

Multiplier 1.2×0.8=0.96. Net 4% decrease.

Q92 Mixture & Percentage RBI Grade B · Phase 1

If 30% of a number is 150, then 45% of the same number is:

A180B200C210D225E250

Show detailed solution

Correct answer: D · 225

Number=500. 45% of 500=225.

Mensuration & Probability

5 exam-level questions · click any solution after you attempt

Q93 Mensuration & Probability RBI Grade B · Phase 1

Area of a circle with circumference 44 cm is (π=22/7):

A160 cm²B154 cm²C140 cm²D132 cm²E176 cm²

Show detailed solution

Correct answer: B · 154 cm²

2πr=44 ⇒ r=7. Area=πr²=22/7×49=154.

Q94 Mensuration & Probability RBI Grade B · Phase 1

Volume of a cube of edge 6 cm is:

A216 cm³B180 cm³C206 cm³D256 cm³E196 cm³

Show detailed solution

Correct answer: A · 216 cm³

6³=216.

Q95 Mensuration & Probability RBI Grade B · Phase 1

A die is thrown. Probability of getting a prime number is:

A1/2B1/3C1/6D2/3E1/4

Show detailed solution

Correct answer: A · 1/2

Primes on a die: 2,3,5 (three). 3/6=1/2.

Q96 Mensuration & Probability RBI Grade B · Phase 1

Two coins are tossed. Probability of at least one head is:

A1B1/4C3/4D2/3E1/2

Show detailed solution

Correct answer: C · 3/4

HH, HT, TH, TT. At least one H: 3/4.

Q97 Mensuration & Probability RBI Grade B · Phase 1

The HCF of 48 and 180 is:

A16B24C18D12E6

Show detailed solution

Correct answer: D · 12

48=2⁴×3; 180=2²×3²×5. HCF=2²×3=12.

Arithmetic Misc

3 exam-level questions · click any solution after you attempt

Q98 Arithmetic Misc RBI Grade B · Phase 1

Average of first 10 natural numbers is:

A6B5C4.5D5.5E11

Show detailed solution

Correct answer: D · 5.5

n(n+1)/2 / n = (n+1)/2 = 11/2 = 5.5.

Q99 Arithmetic Misc RBI Grade B · Phase 1

A man spends 80% of his income. If income is ₹25,000, savings are:

A₹5,000B₹7,500C₹4,500D₹6,000E₹4,000

Show detailed solution

Correct answer: A · ₹5,000

20% of 25,000 = 5,000.

Q100 Arithmetic Misc RBI Grade B · Phase 1

The smallest number that must be added to 220 to make it a perfect square is:

A1B6C5D4E9

Show detailed solution

Correct answer: C · 5

14²=196, 15²=225. 225−220=5.

Quick answer key

Use this only after a timed attempt. Full working is under each question.

Q01DQ02EQ03CQ04CQ05DQ06AQ07DQ08EQ09BQ10DQ11BQ12CQ13CQ14BQ15DQ16EQ17AQ18DQ19BQ20EQ21BQ22BQ23AQ24BQ25EQ26EQ27BQ28AQ29CQ30BQ31AQ32AQ33BQ34AQ35EQ36BQ37DQ38EQ39EQ40BQ41BQ42DQ43BQ44AQ45EQ46EQ47CQ48EQ49CQ50CQ51AQ52EQ53DQ54AQ55EQ56EQ57CQ58CQ59AQ60BQ61AQ62AQ63EQ64AQ65DQ66EQ67AQ68EQ69CQ70AQ71DQ72EQ73CQ74DQ75CQ76DQ77CQ78EQ79EQ80CQ81CQ82BQ83DQ84AQ85EQ86BQ87AQ88DQ89AQ90DQ91AQ92DQ93BQ94AQ95AQ96CQ97DQ98DQ99AQ100C

FAQs

How many Quant questions are asked in RBI Grade B Phase 1?

30 questions for 30 marks in 25 minutes, with 0.25 negative marking.

What is the most important Quant topic?

Data Interpretation. It has carried 10–17 questions in recent years. Number Series is the most reliable second cluster.

Is the Quant syllabus officially listed?

Not line by line. RBI describes the section as Quantitative Aptitude. The topic list on this page is reconstructed from previous papers.

What score should I target?

Clear the sectional cut-off first (often around 12–15). A comfortable Phase 1 profile is 20+ raw in Quant with high accuracy.

Ready to crack RBI Grade B 2027?

Use this page as your daily Quant gym. Pair it with Phase 2 ESI / FM notes and full mocks on CrackTarget.

RBI Grade B hub All exams Telegram community

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

RBI Grade B Quantitative Aptitude Questions

RBI Grade B Quantitative Aptitude

Why Quant decides Phase 1

Phase 1 Quant pattern

How recent papers split

Syllabus — study what the paper actually asks

Data Interpretation

Number Series

Quantity Comparison

Quadratic Equations

Arithmetic core

The rest

40-day plan used by 24+ scorers

Days 1–12 · Concepts

Days 13–28 · Sets

Days 29–40 · Mocks

100 advanced MCQs — RBI Grade B standard

Number Series

Wrong Number Series

Quadratic Equations

Quantity Comparison

Approximation

Data Interpretation

Data Sufficiency

Profit & Loss

SI & CI

Time, Speed & Distance

Time & Work

Ratio, Ages & Partnership

Mixture & Percentage

Mensuration & Probability

Arithmetic Misc

Quick answer key

FAQs

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Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150

Company	2019	2020	2021	2022	2023
P	120	150	180	160	200
Q	90	110	100	140	160
R	160	140	170	190	180
S	80	100	120	110	150