Quantitative Aptitude — Partnership & SI/CI
Q601–Q615 | Partnership · Simple Interest · Compound Interest
Q601EasyCGL+CHSL
Find the SI on ₹2,000 at 5% per annum for 3 years.
A₹280
B₹300
C₹320
D₹350
Show Answer
✔ B — ₹300
SI = PRT/100 = 2000×5×3/100 = 300. ❌ A,C,D: wrong.
Q602ModerateCGL+CHSL
₹1,200 becomes ₹1,560 in 4 years under SI. What is the rate?
A6%
B7%
C7.5%
D8%
Show Answer
✔ C — 7.5%
SI = 1560−1200 = 360. Rate = SI×100/(P×T) = 360×100/(1200×4) = 36000/4800 = 7.5%. ❌ A,B,D: wrong.
Q603ModerateCGL+CHSL
What principal yields ₹540 as SI at 9% per annum in 2 years?
A₹2,800
B₹3,000
C₹3,200
D₹3,500
Show Answer
✔ B — ₹3,000
P = SI×100/(R×T) = 540×100/(9×2) = 54000/18 = 3000. ❌ A,C,D: wrong.
Q604EasyCGL+CHSL
₹5,000 at 10% p.a. compounded annually for 2 years gives CI of:
A₹1,000
B₹1,010
C₹1,050
D₹1,100
Show Answer
✔ C — ₹1,050
Amount = 5000(1.1)² = 5000×1.21 = 6050. CI = 6050−5000 = ₹1,050. ❌ A(SI=1000), ❌ B,D: wrong.
Q605DifficultCGL only
The difference between CI and SI on ₹8,000 for 2 years at 5% per annum is:
A₹18
B₹20
C₹22
D₹25
Show Answer
✔ B — ₹20
Difference = P(R/100)² = 8000 × (5/100)² = 8000 × 0.0025 = ₹20. Formula for 2-year diff = PR²/10000. ❌ A,C,D: wrong.
Q606ModerateCGL+CHSL
A sum triples in 12 years under SI. In how many years will it become 5 times?
A20
B24
C28
D30
Show Answer
✔ B — 24
Tripling in 12 years means SI = 2P in 12 years → rate = 200/12 = 50/3 % per year.
To become 5 times, SI = 4P → time = 400 ÷ (50/3) = 24 years.
(Shortcut: SI of 2P takes 12 years, so SI of 4P takes 24.)
❌ A (20), C (28), D (30): wrong rate.
To become 5 times, SI = 4P → time = 400 ÷ (50/3) = 24 years.
(Shortcut: SI of 2P takes 12 years, so SI of 4P takes 24.)
❌ A (20), C (28), D (30): wrong rate.
Q607EasyCGL+CHSL
P and Q invest ₹4,000 and ₹6,000. They earn ₹5,000 profit. P's share is:
A₹1,500
B₹2,000
C₹2,500
D₹3,000
Show Answer
✔ B — ₹2,000
P:Q = 4:6 = 2:3. P's share = 2/5 × 5000 = ₹2,000. ❌ A,C,D: wrong.
Q608ModerateCGL+CHSL
A invests ₹6,000 for 6 months and B invests ₹4,000 for 8 months. Profit = ₹9,180. Find A's share.
A₹4,500
B₹4,860
C₹5,000
D₹5,250
Show Answer
✔ B — ₹4,860
A : B = 6,000 × 6 : 4,000 × 8 = 36,000 : 32,000 = 9 : 8 (17 parts).
1 part = 9,180 ÷ 17 = 540.
A's share = 9 × 540 = ₹4,860 (B gets ₹4,320).
❌ A, C, D: not in the ratio 9 : 8.
1 part = 9,180 ÷ 17 = 540.
A's share = 9 × 540 = ₹4,860 (B gets ₹4,320).
❌ A, C, D: not in the ratio 9 : 8.
Q609DifficultCGL only
A certain sum at CI amounts to ₹5,832 in 2 years and ₹6,298.56 in 3 years. Find the rate per annum.
A7%
B7.5%
C8%
D8.5%
Show Answer
✔ C — 8%
Rate = (Amount in 3yr − Amount in 2yr)/Amount in 2yr × 100 = (6298.56−5832)/5832 × 100 = 466.56/5832 × 100 = 8%. ❌ A,B,D: wrong.
Q610ModerateCGL+CHSL
A sum of ₹1,800 is split between P and Q such that SI at 5% for P's share in 3 years equals SI at 6% for Q's share in 2 years. Find P's share.
A₹800
B₹900
C₹960
D₹1,000
Show Answer
✔ A — ₹800
P × 5 × 3 = Q × 6 × 2 → 15P = 12Q → P : Q = 4 : 5 (9 parts).
P = 4/9 × 1,800 = ₹800 (Q = ₹1,000).
Check: 800 × 5% × 3 = ₹120 and 1,000 × 6% × 2 = ₹120.
❌ B, C, D: the two interests would differ.
P = 4/9 × 1,800 = ₹800 (Q = ₹1,000).
Check: 800 × 5% × 3 = ₹120 and 1,000 × 6% × 2 = ₹120.
❌ B, C, D: the two interests would differ.
Q611EasyCGL+CHSL
At what rate % will ₹400 amount to ₹520 in 3 years under SI?
A8%
B9%
C10%
D12%
Show Answer
✔ C — 10%
SI = 520−400 = 120. Rate = 120×100/(400×3) = 12000/1200 = 10%. ❌ A,B,D: wrong.
Q612DifficultCGL only
X, Y, Z invest in ratio 3:4:5. Z gets ₹1,500 more than X. Find total profit.
A₹9,000
B₹10,000
C₹12,000
D₹15,000
Show Answer
✔ A — ₹9,000
Ratio 3:4:5, total 12 parts. Z−X = (5−3)/12 × Total = 2/12 × Total = 1/6 × Total = 1500 → Total = 9000. ❌ B,C,D: wrong.
Q613ModerateCGL+CHSL
CI on ₹3,000 at 10% p.a. compounded half-yearly for 1 year is:
A₹302.50
B₹307.50
C₹310
D₹315
Show Answer
✔ B — ₹307.50
Half-yearly rate = 5%, periods = 2. Amount = 3000(1.05)² = 3000×1.1025 = 3307.50. CI = ₹307.50. ❌ A,C,D: wrong.
Q614ModerateCGL+CHSL
A invests for 12 months, B for 8 months, C for 6 months. If the profit ratio is 4:3:2, find the investment ratio A:B:C.
A2:3:2
B4:4.5:4
C6:6:6
D2:2.25:2
Show Answer
✔ D — 2:2.25:2
Profit = Investment × Time. If profit ratio = 4:3:2, then Investment ratio = 4/12 : 3/8 : 2/6 = 1/3 : 3/8 : 1/3 = 8:9:8 (multiplying by 24) = 8:9:8. Simplest form: divide by smallest common... Ratio = 2:2.25:2. ❌ A,B,C: wrong.
Q615DifficultCGL only
At what CI rate will ₹6,250 become ₹7,290 in 2 years?
A7%
B8%
C9%
D10%
Show Answer
✔ B — 8%
7290/6250 = (1+r)². 7290/6250 = 1.1664. √1.1664 = 1.08. So r = 8%. ❌ A,C,D: wrong.
QA — Mixture & Alligation
Q616–Q630 | Alligation Rule · Ratio Mixing · Replacement
Q616EasyCGL+CHSL
In what ratio must rice at ₹8/kg be mixed with rice at ₹12/kg to get a mixture costing ₹10/kg?
A1:1
B1:2
C2:1
D3:2
Show Answer
✔ A — 1:1
By alligation: (12−10):(10−8) = 2:2 = 1:1. ❌ B,C,D: wrong.
Q617ModerateCGL+CHSL
In what ratio should water be mixed with milk at ₹30/litre to get profit of 25% when sold at ₹30/litre?
A1:4
B1:5
C1:3
D2:5
Show Answer
✔ A — 1:4
Cost price = SP × 100/(100+25) = 30×100/125 = ₹24/litre. Water costs ₹0/litre. Milk = ₹30/litre. By alligation: water:milk = (30−24):(24−0) = 6:24 = 1:4. ❌ B,C,D: wrong.
Q618ModerateCGL+CHSL
A 60-litre mixture of milk and water has a 3:1 ratio. How much water should be added to make it 3:2?
A10 litres
B12 litres
C15 litres
D18 litres
Show Answer
✔ C — 15 litres
Milk = 45L, Water = 15L. For 3:2: 45/Water_new = 3/2 → Water_new = 30L. Add = 30−15 = 15L. ❌ A,B,D: wrong.
Q619EasyCGL+CHSL
A vessel has 40L of pure milk. 8L is removed and replaced with water. What is the ratio of milk to water?
A3:1
B4:1
C4:3
D5:1
Show Answer
✔ B — 4:1
Milk remaining = 40−8 = 32L. Water = 8L. Ratio = 32:8 = 4:1. ❌ A,C,D: wrong.
Q620DifficultCGL only
From a 50L container of milk, 10L is replaced with water three times. What % of the mixture is milk?
A51.2%
B53.6%
C56%
D64%
Show Answer
✔ A — 51.2%
After 3 replacements: Milk = 50 × (40/50)³ = 50 × (4/5)³ = 50 × 64/125 = 3200/125 = 25.6L. % = 25.6/50 × 100 = 51.2%. ❌ B,C,D: wrong.
Q621ModerateCGL+CHSL
Salt X contains 15% impurity, Salt Y contains 5% impurity. In what ratio should they be mixed to get 10% impurity?
A1:1
B1:2
C2:1
D3:1
Show Answer
✔ A — 1:1
Alligation: (10−5):(15−10) = 5:5 = 1:1. X:Y = 1:1. ❌ B,C,D: wrong.
Q622ModerateCGL+CHSL
Two varieties of coffee at ₹120/kg and ₹90/kg are mixed to give a blend at ₹100/kg. Find ratio of cheaper to dearer coffee.
A1:2
B2:1
C2:3
D3:2
Show Answer
✔ B — 2:1
Cheaper(90):Dearer(120). Mean = 100. By alligation: (120−100):(100−90) = 20:10 = 2:1. Cheaper:Dearer = 2:1. ❌ A,C,D: wrong.
Q623DifficultCGL only
A solution of 70L has 60% alcohol. How much pure alcohol must be added to make it 75%?
A40L
B42L
C44L
D45L
Show Answer
✔ B — 42L
Alcohol in 70L = 0.6×70 = 42L. Water = 28L. Let x litres pure alcohol added. (42+x)/(70+x) = 0.75. 42+x = 0.75×70+0.75x → 42+x = 52.5+0.75x → 0.25x = 10.5 → x = 42. ❌ A,C,D: wrong.
Q624EasyCGL+CHSL
In what ratio should ₹12 sugar be mixed with ₹8 sugar to get mixture worth ₹11?
A1:3
B3:1
C1:2
D2:1
Show Answer
✔ B — 3:1
Alligation: Expensive(12) : Cheap(8). (11−8):(12−11) = 3:1. ❌ A,C,D: wrong.
Q625ModerateCGL+CHSL
Average marks of Class A (40 students) = 55. Average of Class B (60 students) = 45. What is the combined average?
A48
B49
C50
D51
Show Answer
✔ B — 49
Combined = (40×55 + 60×45)/(40+60) = (2200+2700)/100 = 4900/100 = 49. ❌ A,C,D: wrong.
Q626DifficultCGL only
A and B together can do a job in 12 days. If A alone does 2/3 of the job in 12 days, in how many days can B alone finish the full job?
A30
B36
C40
D45
Show Answer
✔ B — 36
A does 2/3 in 12 days → A alone = 18 days.
B's rate = 1/12 − 1/18 = 3/36 − 2/36 = 1/36 → B alone = 36 days.
❌ A, C, D: wrong subtraction of rates.
B's rate = 1/12 − 1/18 = 3/36 − 2/36 = 1/36 → B alone = 36 days.
❌ A, C, D: wrong subtraction of rates.
Q627ModerateCGL+CHSL
What quantity of acid must be added to 10L of 30% acid solution to make it 50%?
A3L
B4L
C5L
D6L
Show Answer
✔ B — 4L
Acid = 3L, Water = 7L. Let x litres pure acid added. (3+x)/(10+x) = 0.5 → 3+x = 5+0.5x → 0.5x = 2 → x = 4L. ❌ A,C,D: wrong.
Q628ModerateCGL+CHSL
Three varieties of tea at ₹60, ₹80, ₹100/kg are mixed in ratio 3:4:5. Find the average price per kg.
A₹78
B₹80
C₹83⅓
D₹85
Show Answer
✔ C — ₹83⅓
Weighted average = (60 × 3 + 80 × 4 + 100 × 5)/(3 + 4 + 5) = (180 + 320 + 500)/12 = 1,000/12 = ₹83⅓ per kg.
❌ A (₹78), B (₹80), D (₹85): wrong weighting.
❌ A (₹78), B (₹80), D (₹85): wrong weighting.
Q629AdvancedCGL only
A and B start businesses together. A invests twice B's initial capital. At year-end, A's investment grows by 50% and B's reduces by 25%. The ratio of their investments at end of year is:
A2:1
B4:1
C3:1
D3:2
Show Answer
✔ B — 4:1
Let B=x, A=2x. End: A=2x×1.5=3x; B=x×0.75=0.75x. Ratio = 3x:0.75x = 4:1. ❌ A,C,D: wrong.
Q630DifficultCGL only
Alloy A: 80% copper. Alloy B: 60% copper. In what ratio should A and B be mixed to get 70% copper alloy?
A1:1
B2:1
C1:2
D3:2
Show Answer
✔ A — 1:1
Alligation: (70−60):(80−70) = 10:10 = 1:1. A:B = 1:1. ❌ B,C,D: wrong.
Reasoning — Analogies & Classification
Q631–Q650 | Verbal Analogies · Odd One Out · Number Series Start
Q631EasyCGL+CHSL
Book : Library :: Picture : ?
ACanvas
BMuseum
CGallery
DStudio
Show Answer
✔ C — Gallery
Books are stored/displayed in a Library. Pictures are displayed in a Gallery. ❌ A,B,D: wrong relationship.
Q632EasyCGL+CHSL
Find the odd one out: Eagle, Sparrow, Bat, Pigeon
AEagle
BSparrow
CBat
DPigeon
Show Answer
✔ C — Bat
Eagle, Sparrow, Pigeon are birds. Bat is a mammal. ❌ A,B,D: all birds.
Q633ModerateCGL+CHSL
Doctor : Hospital :: Teacher : ?
ASchool
BStudent
CLesson
DChalk
Show Answer
✔ A — School
Doctor works at Hospital; Teacher works at School. ❌ B(student = subject of work, not workplace), ❌ C,D: wrong.
Q634ModerateCGL+CHSL
ACEG : BDFH :: PRTV : ?
AQSUW
BSUWY
CORTU
DQRTU
Show Answer
✔ A — QSUW
ACEG are alternate letters starting A. BDFH are the letters one ahead of each (B=A+1, D=C+1…). PRTV → each letter +1 = QSUW. ❌ B,C,D: wrong.
Q635EasyCGL+CHSL
Find the odd one out: 2, 3, 5, 7, 9
A2
B3
C7
D9
Show Answer
✔ D — 9
2, 3, 5, 7 are prime numbers. 9 = 3×3 is composite. ❌ A,B,C: all prime.
Q636ModerateCGL+CHSL
Pen : Writing :: Scissors : ?
ACutting
BSharpening
CStitching
DPasting
Show Answer
✔ A — Cutting
Pen is used for writing; Scissors are used for cutting. Tool → Function analogy. ❌ B,C,D: wrong function.
Q637DifficultCGL only
Find the odd one out: 121, 169, 225, 289, 360
A121
B169
C225
D360
Show Answer
✔ D — 360
121=11², 169=13², 225=15², 289=17² — all perfect squares. 360 is not a perfect square. ❌ A,B,C: all perfect squares.
Q638ModerateCGL+CHSL
CUP : MUG :: CHAIR : ?
ASofa
BTable
CStool
DCarpet
Show Answer
✔ C — Stool
Cup and Mug serve the same drinking purpose but differ in form. Chair and Stool both serve as seating items but differ in form (stool has no back). ❌ A(sofa=different scale), ❌ B,D: different category.
Q639ModerateCGL+CHSL
Find the odd one out: January, March, May, July, October
AJanuary
BMay
CJuly
DOctober
Show Answer
✔ D — October
All five months have 31 days, so look at their numbers: January (1), March (3), May (5), July (7) are odd-numbered months; October is the 10th month — the only even one.
❌ A, B, C: odd-numbered months.
❌ A, B, C: odd-numbered months.
Q640EasyCGL+CHSL
16 : 4 :: 25 : ?
A5
B6
C7
D8
Show Answer
✔ A — 5
16 : 4 = 4² : 4. Relationship: √16 = 4. So √25 = 5. ❌ B,C,D: wrong.
Q641DifficultCGL only
ACFJ : BDGK :: LNQS : ?
AMORT
BMORS
CMPRT
DMOQT
Show Answer
✔ A — MORT
ACFJ → BDGK: each letter moves one step forward (A→B, C→D, F→G, J→K).
Apply the same to LNQS: L→M, N→O, Q→R, S→T → MORT.
❌ B (MORS): last letter not moved. ❌ C (MPRT): N moved two steps. ❌ D (MOQT): Q not moved.
Apply the same to LNQS: L→M, N→O, Q→R, S→T → MORT.
❌ B (MORS): last letter not moved. ❌ C (MPRT): N moved two steps. ❌ D (MOQT): Q not moved.
Q642ModerateCGL+CHSL
Find odd one out: Rose, Lotus, Jasmine, Marigold, Mango
ARose
BLotus
CJasmine
DMango
Show Answer
✔ D — Mango
Rose, Lotus, Jasmine, Marigold are all flowers. Mango is a fruit. ❌ A,B,C: all flowers.
Q643ModerateCGL+CHSL
Iron : Rust :: Wood : ?
ABurn
BDecay
CRot
DWither
Show Answer
✔ C — Rot
Iron naturally degrades to Rust through oxidation. Wood naturally degrades by Rotting. ❌ A(burning=external), ❌ B(decay more general), ❌ D(wither=plants drying).
Q644DifficultCGL only
Find the odd pair: (i) Triangle:Polygon (ii) Square:Rectangle (iii) Sphere:Circle (iv) Cube:Square
A(i)
B(ii)
C(iii)
D(iv)
Show Answer
✔ B — (ii) Square:Rectangle
(i) Triangle is a type of Polygon ✓. (iii) Sphere's cross-section is Circle ✓. (iv) Cube's face is a Square ✓. (ii) Square is a type of Rectangle — but the relationship here is reversed (Rectangle is the broader category). In all other pairs: first is a SPECIFIC type of second. In (ii): Square is a specific type of Rectangle, not the other way. This is odd because in (ii) the first is more specific. ❌ A,C,D: all have 3D→2D or specific→general correct relationships.
Q645EasyCGL+CHSL
7 : 49 :: 9 : ?
A72
B81
C63
D90
Show Answer
✔ B — 81
7 : 49 = 7 : 7² = n : n². So 9 : 9² = 9 : 81. ❌ A,C,D: wrong.
Q646ModerateCGL+CHSL
Find the odd one out: Wheat, Rice, Maize, Pulses, Sugar
AWheat
BRice
CMaize
DSugar
Show Answer
✔ D — Sugar
Wheat, Rice, Maize, Pulses are all food grains/cereals. Sugar is not a grain — it's a processed sweetener. ❌ A,B,C: all grains/cereals.
Q647DifficultCGL only
Pointing to a photograph, A says "She is the wife of the grandson of my mother." How is A related to the person in the photo?
AFather-in-law
BGrandfather
CSon-in-law
DHusband
Show Answer
✔ A — Father-in-law
A's mother's grandson → A's son (if A is male). The photo shows the wife of A's son. So A is the father of her husband = Father-in-law. ❌ B,C,D: wrong.
Q648ModerateCGL+CHSL
ROYAL : ORYLA :: BRAVE : ?
ARBAEV
BABRVE
CRAEVB
DAVBER
Show Answer
✔ A — RBAEV
ROYAL → ORYLA: swap letters 1 and 2 (R, O → O, R), keep letter 3 (Y), swap letters 4 and 5 (A, L → L, A).
BRAVE → swap B, R → R B; keep A; swap V, E → E V → RBAEV.
❌ B, C, D: do not follow the swap pattern.
BRAVE → swap B, R → R B; keep A; swap V, E → E V → RBAEV.
❌ B, C, D: do not follow the swap pattern.
Q649ModerateCGL+CHSL
Find the odd one out: 6, 10, 14, 18, 21
A6
B10
C14
D21
Show Answer
✔ D — 21
6, 10, 14, 18 are all even numbers forming an AP (difference 4). 21 is odd. ❌ A,B,C: all even.
Q650DifficultCGL only
If CONTRIBUTE is coded as ETBUIRNTOC, what is the code for DISTRIBUTE?
AETUBIRTSID
BETUBIRTIDS
CETUBIRTSDI
DETUBIRSTID
Show Answer
✔ A — ETUBIRTSID
CONTRIBUTE (10 letters) → ETBUIRNTOC. Pattern: letters are reversed in pairs and rearranged. DISTRIBUTE → applying same coding logic → ETUBIRTSID. ❌ B,C,D: slight variations, wrong positions.