We are providing you the set of 10 questions, which are most repetitive questions of the quantitative aptitude came in last five years. Try all these questions and attempt similar questions too. All are provided with complete explanation through which you can easily see analyse the complete solution. An important thing is that SSC repeats its questions, so it is very helpful to you as you may get the same question in exam.
Q1. If a + b + 1 = 0, then the value of (a3 + b3 + 1 – 3ab) is
Q2. In the x-y coordinate system, if (a, b) and (a + 3, b + k) are two points on the line defined by the equation x = 3y – 7, then k =?
Q3. The average age of 4 boys, five year age was 9 years. On including a new boy, the present average age of all the five is 15 years. The present age of the new boys is
a) 14 years
b) 6 years
c) 15 years
d) 19 years
Q4. If the average of 39, 48, 51, 63, 75, 83, x and 69 is 60, then the value of x is
Q5. The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,185 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.
a) Rs. 3,068
b) Rs. 3,008
c) Rs. 3,175
d) Rs. 3,168
Q6. A discount of 30% on the marked price of a toy reduces its selling price by Rs. 30. What is the new selling price (in Rs.) ?
Q7. The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The ratio of their inner radii is
a) 4 : 9
b) 16 : 81
c) √2: √3
d) 2 : 3
Q8. Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in
a) 6 hours
b) 7/2 hours
c) 4 hours
d) 5/2 hours
Q9. If (a – b) = 3, (b – c) = 5 and (c – a) = 1, then the value of
Q10. The population of a town is 15000. If the number of males increases by 8% and that of females by 10%, then the population would increase to 16300. Find the number of females in the town.