Thursday 11 August 2016

Quant mock(Speed test-17) for Govt. exams(15 qns)

Video Solution Click Here

Q1. If 0o<θ<900 and 2sin2θ+3cosθ=3 then the value of θ is
a.30b. 60c. 450  d.750


Q2. If cosθ+secθ=2 (00≤θ≤900) then the value of cos10θ+sec11θ is
a.0  b.1  c.2  d.-1


Q3. The minimum value of 2sin2θ+3cos2θ is
a.0  b.3  c.2  d.1


Q4. If two bells chime at intervals of 4 mins and 15 mins, after how long would they chime together first if they had chimed together in the beginning?
a.26 mins  b.52 mins  c.1 hour 18 minutes  d.1 hour



 Q5. (yz)3+(zx)3+(xy)is equal to
a.(xy)(y+z)(xz)     b.(yz)(z+x)(yx)     c.(yz)(zx)(xy)     d.3(yz)(zx)(xy)


Q6. If x=b+c−2a, y=c+a−2b and z=a+b−2c, then the value of x2+y2z2+2xy is, 
a.a+b+c     b. 0    c.ab+c    d.a+bc


Q7.A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in a ratio of 6 : 5. The smaller side of the rectangle is
a.30 cm  b.60 cm  c.36 cm  d.25 cm


Q8.From a point in the interior of an equilateral triangle, the perpendicular distances of the sides are, √3 cm, 2√3 cm and 5√3 cm. The perimeter (in cm) of the triangle is
a.48  b.64  c.24  d.32


Q9.The ratio of sides of a triangle is 3 : 4 : 5 and area of the triangle is 72 square units. Then the area of an equilateral triangle with same perimeter as the first triangle (in square units) is, a.48√3  b. 96  c. 60√3  d.32√3


Q10.If a train runs at 40km/hr, it reaches its destination 11 minutes late and if it runs at a speed of 50km/hr, it reaches the destination only 5 minutes late. Find the right time by which the train was to reach its destination
a.20 min  b.19 min  c.21 min  d.18 min


Q11.The sum of the length, breadth and height of a rectangular parallelepiped is 24 cm and the length of the diagonal is 15 cm. Then its total surface area is
a.351 cm2   b. 256 cm2    c. 265 cm2  d. 315 cm2


Q12.If sinθ+cosecθ=2, then the value of sin100θ+cosec100θ  is
a.100  b.3  c.2  d.1


Q13.The greatest value of sin4θ+cos4θ  is
a.1  b.12  c.3  d.2


Q14.If (1+sinA)(1+sinB)(1+sinC)=(1−sinA)(1−sinB)(1−sinC) , then the expression on each side of the equation equals,  a.1  b.tanA.tanB.tanC  c.cosA.cosB.cosC  d. sinA.sinB.sinC

Q15.If tanθcotθ=0 find the value of sinθ+cosθ
a. √2  b.0  c.1  d.2

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