If a:b=3:4 and b:c=8:9, then a:c=
A. 1:2 B. 2:3 C. 3:4 D. 4:5
AnswerCorrect: Option B. a:c = (3/4)(8/9)=24/36=2:3
A man buys 11 oranges for ₹10 and sells 10 for ₹11. Gain% is
A. 10% B. 11% C. 21% D. 25%
AnswerCorrect: Option C. CP of 110 = 100, SP of 110 = 121 → 21% gain
The least number which when divided by 12, 18, 24 leaves remainder 5 in each case is
A. 149 B. 144 C. 77 D. 72
AnswerCorrect: Option A. LCM=72 → 72×2+5=149
If x+1/x=5, then x²+1/x²=
A. 23 B. 24 C. 25 D. 27
AnswerCorrect: Option A. (x+1/x)²=25 → x²+1/x²=23
A shopkeeper marks goods 40% above CP and gives 20% discount. Net gain% is
A. 12% B. 15% C. 18% D. 20%
AnswerCorrect: Option A. 1.4×0.8=1.12 → 12%
The average of first 10 even numbers is
A. 10 B. 11 C. 12 D. 20
AnswerCorrect: Option B. Sum=110 → avg=11
If 2^(x+3)=4^(x–1), then x=
A. 5 B. 4 C. 3 D. 2
AnswerCorrect: Option A. 2^(x+3)=2^(2x–2) → x+3=2x–2 → x=5
A can do work in 15 days, B in 20 days. Together in how many days?
A. 8 B. 8.57 C. 9 D. 10
AnswerCorrect: Option B. 1/15+1/20=7/60 → 60/7≈8.57 days
The sum of angles of a polygon of 9 sides is
A. 1260° B. 1080° C. 900° D. 1440°
AnswerCorrect: Option A. (9–2)×180=1260°
If cosθ=5/13, then tanθ=
A. 12/5 B. 5/12 C. 13/5 D. 12/13
AnswerCorrect: Option A. opp=12 → tan=12/5
A sum doubles in 8 years at simple interest. Rate% p.a. is
A. 10% B. 12.5% C. 15% D. 8%
AnswerCorrect: Option B. SI=P → R=100P/(P×8)=12.5%
The value of 7log(16/15)+5log(25/24)+3log(81/80) is
A. 0 B. log2 C. log3 D. log5
AnswerCorrect: Option B. Simplifies to log2
A car travels 40 km at 20 km/h and next 40 km at 30 km/h. Average speed is
A. 24 B. 25 C. 26 D. 27
AnswerCorrect: Option A. 80/(2+4/3)=80/(10/3)=24 km/h
The radius of a sphere is 3 cm. Volume (π≈3.14) is
A. 113.04 B. 108 C. 120 D. 141.3
AnswerCorrect: Option A. 4/3 πr³=4/3×3.14×27≈113.04 cm³
If 30% of x is 60, then x=
A. 180 B. 200 C. 250 D. 300
AnswerCorrect: Option B. 0.3x=60 → x=200
The HCF of 144 and 198 is
A. 18 B. 24 C. 36 D. 9
AnswerCorrect: Option A. 144=2^4×3^2, 198=2×3^2×11 → HCF=18
A man sold two watches for ₹990 each; on one he gains 10% and on the other loses 10%. Net result is
A. 1% loss B. 1% gain C. No loss no gain D. 2% loss
AnswerCorrect: Option A. Always 1% loss in such cases
The smallest 4-digit number exactly divisible by 12, 15, 18 is
A. 1000 B. 1080 C. 1260 D. 1200
AnswerCorrect: Option B. LCM=180 → 180×6=1080
If a²+b²=45 and ab=18, then a+b=
A. 9 B. 8 C. 7 D. 6
AnswerCorrect: Option A. (a+b)²=45+36=81 → a+b=9
A cone & cylinder have same radius & height. Ratio of volumes is
A. 1:3 B. 3:1 C. 1:1 D. 2:3
AnswerCorrect: Option A. 1/3 πr²h : πr²h = 1:3
A dice is thrown twice. Probability that sum is 9 is
A. 1/9 B. 1/12 C. 4/36 D. 4/11
AnswerCorrect: Option A. Favourable (3,6)(4,5)(5,4)(6,3)=4 → 4/36=1/9
General Intelligence & Reasoning (25)
Find the odd one: Delhi, Mumbai, Kolkata, Pune
A. Delhi B. Mumbai C. Kolkata D. Pune
AnswerCorrect: Option D. Pune is not a state capital among the choices.
Complete series: 3, 8, 18, 38, ?
A. 78 B. 68 C. 58 D. 48
AnswerCorrect: Option A. 3×2+2=8, 8×2+2=18 … 38×2+2=78
If RIP stands for QHO, then SUN stands for
A. RTM B. RTN C. TUM D. STM
Pointing to a lady, a man said, “She is the only daughter of my father’s son.” How is lady related?
A. Daughter B. Niece C. Sister D. Wife
AnswerCorrect: Option A. Man’s son’s daughter → granddaughter to man, but only daughter of son → daughter
Arrange words: 1.Tree 2.Seed 3.Fruit 4.Plant
A. 2,4,1,3 B. 2,1,4,3 C. 4,2,1,3 D. 1,2,3,4
AnswerCorrect: Option A. Seed→Plant→Tree→Fruit
Select pair with same relation as “Doctor : Stethoscope”
A. Author : Pen B. Carpenter : Anvil C. Farmer : Plough D. Painter : Brush
AnswerCorrect: Option D. Tool of trade
In a code, FRIEND is written as EQHDMC, then ENEMY is
A. DLDLX B. DLDMX C. DLFLW D. DLELX
AnswerCorrect: Option A. –1 each letter
Find missing number: 2, 6, 12, 20, ?, 42
A. 30 B. 32 C. 28 D. 36
AnswerCorrect: Option A. 1×2, 2×3, 3×4… 5×6=30
If ‘+’ means ‘×’, ‘–’ means ‘+’, ‘×’ means ‘–’, then 6–4+2×5=
A. 10 B. 12 C. 14 D. 16
AnswerCorrect: Option C. 6+4×2–5=6+8–5=14
Count triangles in given figure (assume a simple triangle with one median)
A. 3 B. 4 C. 5 D. 6
AnswerCorrect: Option C. 5 triangles
Statement: All pens are pencils. Some pencils are erasers.
Conclusion: I. Some pens are erasers. II. Some erasers are pencils.
A. Only I B. Only II C. Both D. Neither
AnswerCorrect: Option B. II follows, I need not.
Ram is 15th from left and 18th from right in a row. Total students?
A. 32 B. 31 C. 33 D. 30
AnswerCorrect: Option A. 15+18–1=32
Select odd numeral pair: 4–16, 5–25, 6–36, 7–48
A. 4–16 B. 5–25 C. 6–36 D. 7–48
AnswerCorrect: Option D. 7²=49≠48
A clock is started at noon. By 10 minutes past 5, hour hand has turned
A. 155° B. 160° C. 150° D. 145°
AnswerCorrect: Option A. 5 h 10 m = 31/6 h → 30×31/6=155°
If 1st Jan 2023 is Sunday, then 1st Jan 2024 is
A. Monday B. Tuesday C. Sunday D. Saturday
AnswerCorrect: Option A. 2023 not leap → +1 → Monday
Find word that cannot be formed from “ADMINISTRATION”
A. MIND B. STATION C. RATION D. MINER
AnswerCorrect: Option D. No E in ADMINISTRATION
Direction: Walk 10 m North, 10 m East, 10 m South. Distance from start?
A. 0 B. 10 m E C. 10 m W D. 20 m N
AnswerCorrect: Option B. 10 m East
Mirror image of “dIgit”
A. tigid B. tigId C. tigid D. tigId
AnswerCorrect: Option D. Capital I mirrored as I, lowercase reversed
Series: AZ, BY, CX, DW, ?
A. EV B. VE C. EU D. EV
AnswerCorrect: Option A. EV (E-V)
If 4×2=32, 5×3=50, then 6×4=
A. 96 B. 48 C. 64 D. 72
AnswerCorrect: Option A. Pattern a×b → a×b×b → 6×4×4=96
Odd one: Triangle, Square, Pentagon, Circle
A. Triangle B. Square C. Pentagon D. Circle
AnswerCorrect: Option D. Only curved figure
Venn diagram: School, Classroom, Blackboard
A. School⊃Classroom⊃Blackboard B. All separate C. Overlapping only D. None
AnswerCorrect: Option A. Nested
If P is brother of Q, Q is sister of R, R is father of S, then P is
A. Uncle B. Father C. Grandfather D. Brother
AnswerCorrect: Option A. Uncle of S
Missing letter: A, C, F, J, ?
A. O B. P C. Q D. N
AnswerCorrect: Option A. +2,+3,+4,+5 → O
Statement A: All cats are dogs. Statement B: All dogs are rats.
Conclusion: All cats are rats.
A. True B. False C. Uncertain D. Absurd
AnswerCorrect: Option A. Syllogism valid
General Science (25)
The SI unit of electric charge is
A. Ampere B. Coulomb C. Volt D. Ohm
AnswerCorrect: Option B. Coulomb
Which part of human brain controls balance?
A. Cerebrum B. Cerebellum C. Medulla D. Hypothalamus
AnswerCorrect: Option B. Cerebellum
The process of conversion of sugar into alcohol is
A. Fermentation B. Esterification C. Saponification D. Hydrogenation
AnswerCorrect: Option A. Fermentation by yeast
The metal stored in kerosene to prevent reaction is
A. Na B. Mg C. Al D. Zn
AnswerCorrect: Option A. Sodium
The speed of sound in vacuum is
A. 0 B. 332 m/s C. 3×10⁸ m/s D. 1500 m/s
AnswerCorrect: Option A. Sound needs medium
pH of human blood is approximately
A. 6.8 B. 7.0 C. 7.4 D. 8.0
AnswerCorrect: Option C. 7.4 slightly alkaline
Which lens is used to correct myopia?
A. Convex B. Concave C. Cylindrical D. Bifocal
AnswerCorrect: Option B. Concave
The chemical formula of baking soda is
A. Na₂CO₃ B. NaHCO₃ C. NaCl D. NaOH
AnswerCorrect: Option B. Sodium bicarbonate
The powerhouse of cell is
A. Ribosome B. Mitochondria C. Golgi D. Lysosome
AnswerCorrect: Option B. Mitochondria
Which gas is released during photosynthesis?
A. CO₂ B. O₂ C. N₂ D. H₂
AnswerCorrect: Option B. Oxygen
The hardest natural substance is
A. Graphite B. Diamond C. Quartz D. Corundum
AnswerCorrect: Option B. Diamond
Which wave cannot be polarised?
A. Radio B. Ultrasonic C. Light D. X-ray
AnswerCorrect: Option B. Sound (longitudinal) waves
The device to measure electric current is
A. Voltmeter B. Ammeter C. Galvanometer D. Ohmmeter
AnswerCorrect: Option B. Ammeter
The hormone insulin is secreted by
A. Liver B. Pancreas C. Thyroid D. Pituitary
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