Q1. In an examination, a candidate obtained 32% marks and failed by 16 marks. Another candidates secured 36% marks and obtained 10 marks more than the minimum marks to pass. Determine the number of minimum marks to pass the examination?
(a) 208
(b) 224
(c) 218
(d) 226
Q2. Two tapes A and B can filled a tank in 20 minutes and 30 minutes respectively. Both tapes open in an empty tank and when the tank should be filled it comes into notice that a leakage remains opened by mistake. The leakage immediately closed and after that in 3 minutes the tank filled by water. In what time the leakage empty the tank full of water?
(a) 50 minutes
(b) 48 minutes
(c) 25 minutes
(d) 40 minutes
Q3. ABC is an equilateral triangle of side 2 cm. With A, B, C as centre and radius 1 cm three arcs are drawn. The area of the region within the triangle bounded by three arcs is
(a) (3√3-π/2) cm^2
(b) (√3-3π/2) cm^2
(c) (√3-π/2) cm^2
(d) (π/2-√3) cm^2
Q6. The circles C_1 and C_2 touch each other internally at P. Two lines PCA and PDB meet C_1 at C, D and C_2 at A, B respectively. If ∠BDC = 120°, then ∠ABP = ?
(a)60°
(b) 80°
(c) 100°
(d) 120°
Q7. The perimeter of a parallelogram is 22 cm. If the longest side is 6.5 cm then. Find the length of smaller side.
(a) 5.5 cm
(b) 4.5 cm
(c) 6.0 cm
(d) 5.0 cm
Q8. The difference between the interior and exterior angles at a vertex of a regular polygon is 108°. The number of sides of the polygon is
(a) 10
(b) 15
(c) 24
(d) 30
Q9. The sum of two numbers is 15 1/3 and their difference is 4 2/3. The product of the number is
(a) 60
(b) 50
(c) 48 (2/3)
(d) 53 (1/3)
Q10. The price of an article was increased by r%. Later the new price was decreased by r%. If the latest price was Rs. 1, then the original price was-
(a) Rs. 1
(b) Rs. ((1-r^2)/100)
(c) Rs. √(1-r^2 )/100
(d) Rs. (10000/(10000-r^2 ))
Q11. A labour was employed for 30 days he getRs. 10 for every working day and Rs. 2 deducted from wages for every leave. At the end he got Rs. 276. Find his working days.
(a) 18
(b) 28
(c) 23
(d) 20
Q12. The average weight of 4 men is increased by 3 kg when one of them who weighs 120 kg is replaced by another man. What is the weight of the new man?
(a) 135 kg
(b) 150 kg
(c) 132 kg
(d) 100 kg
Q15. The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is:
(a) 10
(b) 8
(c) 12
(d) 6
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