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Question 1
If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 – 3abc?
Question 2
What is the simplified value of ?
Question 3
In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid - point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?
Question 4
If , then what is the value of x?
Question 5
45 men or 60 boys can do a piece of work in 20 days. How many days will 15 men and 20 boys take to complete the work?
Question 6
A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with a speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?
Question 7
The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?
Question 8
The marked price of a shirt is Rs.1280. If the shirt is being sold for Rs.900, then what is the discount percentage?
Question 9
If A is 6 times more than B, then by what percentage is B is less than A?
Question 10
A milk merchant buys 50 litres of milk at the rate of ₹40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of ₹42 per litre, then what is the profit percentage for the dealer?
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Nov 24SSC & Railway