Q: For any three natural numbers a, b and c, if (bc + 1)/(abc + a + c) = 11/43, then the value of abc is
(a)30
(b)45
(c)60
(d)75
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CAPF Mathematics Questions
13 previous year questions
Sub-topics
Number System (5)Geometry (5)Calculus (1)Algebra (1)Statistics (1)
Q: If n is an integer larger than 1, then what is the least value of the integer n + n² + n³?
(a)1
(b)3
(c)76
(d)785
Q: The angle (in degrees) made by a sector having area one-sixth of the area of a semicircle is
(a)15°
(b)30°
(c)45°
(d)60°
Q: Three circles of radius 5 cm each touch each other. If the points of contact are P, Q and R, then what is the area of the triangle PQR in sq. cm?
(a)25√3 / 6
(b)25√3 / 4
(c)25√3 / 2
(d)25√3
Q: The right-angled triangle ABC is such that ∠B = 90°. Point D is picked on BC such that triangles ABC and DBA are similar. If AB : BC = m : n, what is ΔABC : ΔABD, where Δ denotes the area of a triangle?
(a)n : m
(b)n² : m²
(c)(m + n) : n
(d)(m + n)² : n²
Q: If x and y are two-digit prime numbers such that y is obtained from x by interchanging its digits and x − y = 36, then what is the value of xy ?
(a)1611
(b)2701
(c)4031
(d)5603
Q: ‘Rail Vikas Nigam Limited’ is a:
(a)Maharatna CPSE
(b)Navaratna CPSE
(c)Miniratna I CPSE
(d)Miniratna II CPSE
Q: Which one of the following is the difference of the sum of cubes of first ten natural numbers and the sum of squares of first ten natural numbers?
(a)2400
(b)2640
(c)2880
(d)2000
Q: Trough and ridge are
(a)elongated area of low pressure and of high pressure respectively
(b)elongated areas of low pressure
(c)elongated areas of high pressure
(d)elongated area of high pressure and of low pressure respectively
Q: Which one of the following geologic time periods is associated with the first appearance of the marsupials?
(a)Lower Cretaceous
(b)Upper Cretaceous
(c)Early Jurassic
(d)Middle Jurassic
Q: Oil and water do NOT mix because of the property of
(a)bulk modulus
(b)shear strain
(c)volume effect
(d)surface tension
Q: What is meant by MSME?
(a)Medium, Small and Marginalized Enterprises
(b)Micro, Small and Marginalized Enterprises
(c)Medium, Strategic and Micro Enterprises
(d)Micro, Small and Medium Enterprises
Q: A is the smallest positive integer which when divided by 9 and 12 leaves remainder 8. B is the smallest positive integer which when divided by 9 and 12 leaves remainder 5. Which one of the following is the value of A – B?
(a)3
(b)2
(c)1
(d)0
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