Quant mock(Speed test-19) for Govt. exams(10 qns) feel Good

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Q1. If (sinθ+cosθ/(sinθ−cosθ)=3   then the numerical value of sin⁴θ−cos⁴θ is   

a.1/2  b. 2/5  c. 3/5  d. 4/5

Q2.If (sinθ+cosθ)/(sinθ−cosθ)=5/4 , then the value of (tan²θ+1)/(tan²θ−1) will be   

a.41/40   b. 40/41  c.25/16  d.41/9

Q3.ABCD is a parallelogram. P and Q are the mid-points of sides BC and CD respectively. If the area of the △ABC is 12 cm², the area of △APQ is 

a.9 cm²  b.12 cm²  c.10 cm²   d.8 cm²

Q4.Two equal maximum sized circular plates are cut-off from a circular paper-sheet of circumference 352 cm. The circumference of each circular plate is 

 a.176 cm  b.180 cm  c.165 cm  d.150 cm

Q5.Through each vertex of a triangle, a line parallel to the opposite side is drawn. The ratio of the perimeter of the new triangle thus formed with the original triangle is 

a.3 : 2  b.4 : 1  c.5 : 3  d.2 : 1

Q6.A trader bought a few pens at the rate of 5 per Rs.100 and a second time bought the same number of pens at the rate of 4 per Rs.100. He mixed both the lots and then sold the pens at the rate of 9 per Rs.200. In this business he suffered a loss of Rs.300. The total number of pens he bought was  

a.540  b.545  c.1080  d.1090

Q7.A shopkeeper gains 30% while buying the goods and 20% while selling them. Find his total gain percent.  

a.50%  b.40%  c.56%  d.36%

Q8.1% of tea is wasted at the time of mixing of two kinds of tea priced at Rs.600 per kg and Rs. 800 per kg. In what ratio the two kinds of tea are to be mixed so that there will be a profit of 10% on selling mixed tea at the rate of Rs. 700 per kg?   

a.3 : 19  b.17 : 3  c.5 : 17  d.17 : 5

Q9.If a milkman sells his milk at Rs. 30 per litre he incurs losses but if he sells at Rs. 34 per litre he makes a profit. If the loss to gain ratio is 1: 3, his cost price per litre (in Rs.) was 

a.31.5  b.31  c.31.75  d.32

Q10.The ratio of savings to expenditure of a person is 2 : 3. If his savings increases by 6% while his income increases by 15% then by how much percentage did his expenditure increase?  a.21%  b.24%  c.12%  d.25%