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Question 1
If 13 + 23 + ………. + 103 = 3025, then 4 + 32 + 108 + …….. + 4000 is equal to :
Question 2
In two alloys the ratios of copper to tin are 3 : 4 and 1 : 6 respectively. If 7 kg of the first alloy and 21 kg of the second alloy are mixed together to form a new alloy, then what will be the ratio of copper to tin in the new alloy?
Question 3
Two articles are purchased at Rs. 770. Both are sold at same selling prices, however from one article 20% profit is made while from another there is a loss of 10%. Find the overall profit or loss?
Question 4
What is that least number that must be added to the product 684 × 686 to make it a perfect square?
Question 5
A glass containing water has two holes. The first hole alone empties the glass in 9 minutes and the second hole alone empties the glass in 3 minutes. If water leaks out at a constant rate, how many minutes will it take if both the holes together empty the glass?
Question 6
Find the unit digit of, (1!)99 + (2!)98 + (3!)97 + ………………+ (99!)1
Question 7
If cos θ + sec θ = 2, the value of cos6 θ + sec6 θ is
Question 8
The greatest number among 
is?
is?Question 9
The radius of two concentric circles are 9 cm and 15 cm. If the chord of the greater circle be a tangent to the smaller circle, then the length of that chord is
Question 10
The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by
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Mar 6SSC & Railway
