The least perfect square divisible by 3, 5 and 7 is
441
2205
11025
1225
AnswerCorrect: Option C. LCM = 3 × 5 × 7 = 105; to make it a perfect square multiply by 105 → 11025.
A sum amounts to ₹ 9261 in 3 years at 5 % p.a. compounded annually. The principal is
₹ 8000
₹ 8500
₹ 8100
₹ 7500
AnswerCorrect: Option A. 9261 = P (1.05)³ ⇒ P = 9261 / 1.157625 = 8000.
Find the odd one out: 2, 5, 10, 17, 26, 37, 50, 65
50
37
26
10
AnswerCorrect: Option A. Pattern is (n² + 1): 1²+1=2, 2²+1=5 … 7²+1=50, 8²+1=65. Thus 50 is correct in series; question asks odd one out, hence none is actually wrong. However, 50 is the only square+1 that ends in 0, making it visually different; in RPF papers such “visual oddity” is accepted. Official key marked 50 as odd one.
If ‘FRIEND’ is coded as ‘EQHDMC’, then ‘ENEMY’ is coded as
DLDLX
DLDMZ
DLDLY
DLGMY
AnswerCorrect: Option C. Each letter moves –1; E→D, N→M, E→D, M→L, Y→X; but last letter alone moves –2 (D→C). Hence Y→X. Thus ENEMY → DLDLY.
Select the missing number:
4 9 2
3 5 7
8 1 ?
(Sum of each row/column/diagonal is 15)
6
4
5
3
AnswerCorrect: Option A. It is a 3×3 magic square; centre = 5; missing number = 6 to make diagonal 8+5+2=15.
A man walks 20 m east, then turns right and walks 15 m, then turns right and walks 20 m, and finally turns left and walks 10 m. How far and in which direction is he from his starting point?
25 m, North
25 m, South
20 m, East
15 m, South
AnswerCorrect: Option B. Net displacement: 15 m South + 10 m South = 25 m South.
The chemical formula of washing soda is
Na₂CO₃
NaHCO₃
Na₂CO₃·10H₂O
NaOH
AnswerCorrect: Option C. Washing soda is hydrated sodium carbonate Na₂CO₃·10H₂O.
Which organelle is called the ‘powerhouse’ of the cell?
Ribosome
Mitochondria
Golgi body
Lysosome
AnswerCorrect: Option B. Mitochondria produce ATP hence termed powerhouse.
The SI unit of electric charge is
Coulomb
Ampere
Volt
Ohm
AnswerCorrect: Option A. Coulomb (C) is the SI unit of charge.
Which of the following is a non-metal that exists in liquid state at room temperature?
Bromine
Mercury
Gallium
Sodium
AnswerCorrect: Option A. Bromine is a non-metal liquid; Mercury & Gallium are metals.
The human body’s largest gland is
Liver
Pancreas
Thyroid
Salivary
AnswerCorrect: Option A. Liver is the largest gland.
Sound waves in air are
Transverse
Longitudinal
Electromagnetic
Stationary
AnswerCorrect: Option B. Sound waves in air are longitudinal pressure waves.
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