If log₂x = 5, then x equals:
A. 32
B. 25
C. 10
D. 64
AnswerCorrect: Option A. x = 2⁵ = 32.
A shopkeeper marks goods 40% above CP and gives 20% discount. Gain % is:
A. 12
B. 16
C. 20
D. 8
AnswerCorrect: Option A. 1.4×0.8 = 1.12 → 12% gain.
The sum of squares of two consecutive integers is 145. The integers are:
A. 8,9
B. 9,10
C. 7,8
D. 6,7
AnswerCorrect: Option A. 8²+9²=64+81=145.
Radius of a circle is 14 cm. Area of sector with 45° angle is:
A. 77
B. 154
C. 308
D. 49
AnswerCorrect: Option A. (45/360)×π×14² = 77 cm².
If 2x – 3y = 5 and x + y = 4, then x equals:
A. 17/5
B. 3
C. 7/5
D. 5
AnswerCorrect: Option A. Solving gives x = 17/5.
A mixture has milk and water in ratio 5:3. After adding 8 L water ratio becomes 5:4. Original milk quantity:
A. 40
B. 35
C. 45
D. 50
AnswerCorrect: Option A. 5x/(3x+8)=5/4 ⇒ x=8 ⇒ milk=40 L.
Compound interest on ₹2,000 at 10% p.a. for 2 years compounded half-yearly is:
A. 420
B. 415.5
C. 412.5
D. 405
AnswerCorrect: Option B. 2000(1.05)^4 – 2000 ≈ 415.5.
The value of (0.3̅ + 0.4̅) is:
A. 0.7̅
B. 0.12̅
C. 0.8̅
D. 0.6̅
AnswerCorrect: Option A. 1/3 + 4/9 = 7/9 = 0.7̅.
A clock shows 4:20. Angle between hands is:
A. 10°
B. 20°
C. 30°
D. 15°
AnswerCorrect: Option A. |30×4 – 11×20/2| = |120-110|=10°.
The quadratic equation whose roots are 3 and –2 is:
A. x² – x – 6 = 0
B. x² + x – 6 = 0
C. x² – x + 6 = 0
D. x² + x + 6 = 0
AnswerCorrect: Option B. (x-3)(x+2)=x²+x-6.
A car travels 60 km at 30 km/h and 60 km at 60 km/h. Average speed is:
A. 40
B. 45
C. 48
D. 50
AnswerCorrect: Option A. 120/(2+1)=40 km/h.
If a² + b² + c² = 100 and ab + bc + ca = 50, then (a + b + c)² equals:
A. 200
B. 150
C. 250
D. 300
AnswerCorrect: Option A. 100 + 2×50 = 200.
A cone has radius 7 cm and height 24 cm. Its slant height is:
A. 25
B. 24
C. 26
D. 27
AnswerCorrect: Option A. √(7²+24²)=25.
The probability of drawing a king or a spade from a 52-card deck is:
A. 16/52
B. 17/52
C. 4/13
D. 1/2
AnswerCorrect: Option A. 13 spades + 3 other kings = 16.
If 12 men can reap a field in 24 days, 8 men will reap it in:
A. 36
B. 32
C. 40
D. 30
AnswerCorrect: Option A. Inverse: 12×24/8 = 36 days.
General Intelligence & Reasoning (Questions 51 – 75)
Find the odd pair:
A. 4-16
B. 5-25
C. 6-38
D. 7-49
AnswerCorrect: Option C. 6²≠38.
Complete: 2, 6, 12, 20, 30, ?
A. 42
B. 40
C. 38
D. 44
AnswerCorrect: Option A. n(n+1): 6×7=42.
If CLOUD is coded as 39574, then DOLLUC is:
A. 457739
B. 457793
C. 457937
D. 475937
AnswerCorrect: Option B. Reverse order of digits.
Pointing to a lady, Arun said “She is the daughter of my grandfather’s only son.” How is she related to Arun?
A. Sister
B. Mother
C. Aunt
D. Daughter
AnswerCorrect: Option A. Grandfather’s only son = Arun’s father; daughter = sister.
Arrange: 1. Seed 2. Plant 3. Fruit 4. Flower 5. Pollination
A. 1,2,4,5,3
B. 1,2,5,4,3
C. 2,1,5,4,3
D. 1,2,3,4,5
AnswerCorrect: Option B. Logical growth sequence.
If F = 6, THEN is:
A. 56
B. 58
C. 60
D. 62
AnswerCorrect: Option B. T(20)+H(8)+E(5)+N(14)=58.
Mirror image of figure “R” is:
A. Я
B. Ʀ
C. Ɍ
D. ℞
AnswerCorrect: Option A. Backward R.
Statement: All books are pens. Some pens are pencils.
Conclusion: I. Some books are pencils. II. No book is pencil.
A. Only I
B. Only II
C. Either I or II
D. Neither
AnswerCorrect: Option C. Complementary pair.
If ‘+’ means ‘÷’, ‘–’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘–’, then 8 ÷ 4 – 2 + 5 × 3 = ?
A. 7
B. 8
C. 9
D. 10
Count triangles in given figure (assume standard 4-small-triangle grid):
A. 8
B. 10
C. 12
D. 16
AnswerCorrect: Option A. 8 triangles (4 small + 4 inverted).
In a row, Rahul is 15th from left and 21st from right. Total students:
A. 35
B. 36
C. 34
D. 37
AnswerCorrect: Option A. 15+21–1=35.
Find the missing term: 1, 4, 27, 256, ?
A. 3125
B. 1024
C. 729
D. 1296
AnswerCorrect: Option A. nⁿ: 5⁵=3125.
If 25th August is Thursday, then 25th December is:
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
AnswerCorrect: Option A. 122 days ≡ 3 odd ⇒ Monday.
Word formation: Which cannot be formed from “ENVIRONMENT”?
A. ENTER
B. MOVIE
C. MENTOR
D. RIVER
AnswerCorrect: Option B. No ‘O’ in ENVIRONMENT.
Direction: Sun rises at 6 am. A man walks 5 km south, 5 km west, 5 km north. He is:
A. At start
B. 5 km west
C. 5 km east
D. 5 km south
AnswerCorrect: Option B. Net 5 km west.
Coding: If BRAIN = 44, then HEART = ?
A. 52
B. 54
C. 56
D. 58
AnswerCorrect: Option B. Sum of alphabet positions ×2: (H+E+A+R+T)=8+5+1+18+20=52×1=52 (pattern ×1) → closest 52, but option 52 missing; standard sum = 52 ⇒ nearest option A 52 (but given 54). Corrected pattern: sum = 52, so exam typo; choose A 52 if present, else choose B 54 as nearest (question kept as per trend). **Correct: Option A 52 (if available), else accept B 54 as key. Explanation: Sum = 52.
Venn: Doctors, Males, Fathers. The overlapping region represents:
A. Male doctors who are fathers
B. Fathers who are not doctors
C. Males who are not fathers
D. Doctors who are not males
AnswerCorrect: Option A.
Series: ab _ bca _ ca _ c _ ab _ a
A. cabc
B. bcaa
C. abcc
D. aabc
AnswerCorrect: Option A. Pattern abcabc…
Analogy: 8 : 56 :: 9 : ?
A. 72
B. 63
C. 81
D. 90
AnswerCorrect: Option B. n(n–1): 9×7=63.
Classification: Find odd: Copper, Iron, Brass, Aluminium
A. Brass
B. Copper
C. Iron
D. Aluminium
AnswerCorrect: Option A. Alloy; others pure metals.
If 4 × 9 = 36, 7 × 8 = 56, then 9 × 9 = ?
A. 81
B. 72
C. 90
D. 99
AnswerCorrect: Option A. Simple product.
Syllogism: All cups are plates. Some plates are bowls.
Conclusion: I. Some cups are bowls. II. Some bowls are plates.
A. Only I
B. Only II
C. Both
D. Neither
AnswerCorrect: Option B. Only II follows.
Pattern: 5, 12, 17, 29, 46, ?
A. 75
B. 65
C. 63
D. 71
AnswerCorrect: Option A. Add previous: 5+12=17, 12+17=29, 17+29=46, 29+46=75.
Matrix: Find code for “RICE” from given 2×2 matrix:
A. 67, 32, 20, 55
B. 67, 23, 02, 55
C. 76, 23, 20, 55
D. 67, 32, 02, 55
AnswerCorrect: Option B. Standard matrix positions.
Clock: At 3:40, angle is:
A. 130°
B. 120°
C. 140°
D. 135°
AnswerCorrect: Option A. |30×3 – 11×40/2| = |90-220|=130°.
General Science (Questions 76 – 100)
The SI unit of electric charge is:
A. Ampere
B. Coulomb
C. Volt
D. Ohm
AnswerCorrect: Option B.
Which colour deviates least during dispersion?
A. Red
B. Violet
C. Yellow
D. Green
AnswerCorrect: Option A. Red deviates least.
Photosynthesis occurs in:
A. Mitochondria
B. Chloroplast
C. Ribosome
D. Golgi
AnswerCorrect: Option B.
pH of gastric juice is approximately:
A. 1.5
B. 7
C. 8.5
D. 14
AnswerCorrect: Option A.
The gas responsible for ripening of fruits is:
A. Methane
B. Ethylene
C. CO₂
D. N₂
AnswerCorrect: Option B.
Which alloy contains Cu and Zn?
A. Bronze
B. Brass
C. Solder
D. Steel
AnswerCorrect: Option B.
The speed of sound is maximum in:
A. Air
B. Water
C. Steel
D. Vacuum
AnswerCorrect: Option C. Solids fastest.
Vaccine for tuberculosis is:
A. DPT
B. BCG
C. MMR
D. OPV
AnswerCorrect: Option B.
The process of conversion of sugar into alcohol is:
A. Fermentation
B. Oxidation
C. Esterification
D. Hydrogenation
AnswerCorrect: Option A.
Which planet has maximum moons (as of 2024)?
A. Jupiter
B. Saturn
C. Uranus
D. Neptune
AnswerCorrect: Option B. Saturn (146).
The hormone insulin is secreted by:
A. Liver
B. Pancreas
C. Kidney
D. Thyroid
AnswerCorrect: Option B.
The reaction between acid and base is called:
A. Redox
B. Neutralisation
C. Decomposition
D. Combustion
AnswerCorrect: Option B.
Which is a non-metal liquid at room temp?
A. Mercury
B. Bromine
C. Gallium
D. Iodine
AnswerCorrect: Option B. Mercury is metal; bromine is non-metal liquid.
The power of a lens is –2 D. It is:
A. Converging, f = –50 cm
B. Diverging, f = –50 cm
C. Converging, f = 50 cm
D. Diverging, f = 50 cm
AnswerCorrect: Option B. P=1/f (m) ⇒ f = –0.5 m.
The chemical formula of washing soda is:
A. Na₂CO₃
B. NaHCO₃
C. Na₂CO₃·10H₂O
D. NaOH
AnswerCorrect: Option C.
Which is not a greenhouse gas?
A. N₂O
B. CH₄
C. CO₂
D. O₂
AnswerCorrect: Option D.
The device to measure current is:
A. Voltmeter
B. Ammeter
C. Galvanometer
D. Potentiometer
AnswerCorrect: Option B.
The unit of heredity is:
A. Gene
B. Chromosome
C. Allele
D. Nucleotide
AnswerCorrect: Option A.
Which vitamin is water-soluble?
A. A
B. D
C. B₁₂
D. E
AnswerCorrect: Option C.
The filament of an electric bulb is made of:
A. Copper
B. Tungsten
C. Nichrome
D. Aluminium
AnswerCorrect: Option B.
The process of splitting of nucleus is:
A. Fusion
B. Fission
C. Radiation
D. Sublimation
AnswerCorrect: Option B.
The metal stored in kerosene is:
A. Na
B. Mg
C. Al
D. Zn
AnswerCorrect: Option A. Sodium.
The disease caused by deficiency of vitamin C is:
A. Scurvy
B. Rickets
C. Beri-beri
D. Night blindness
AnswerCorrect: Option A.
The phenomenon of light bending in denser medium is:
A. Reflection
B. Refraction
C. Diffraction
D. Dispersion
AnswerCorrect: Option B.
Which organ removes nitrogenous wastes?
A. Liver
B. Kidney
C. Lung
D. Heart
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