Q1. There are 90 students in a class out of which 70% are from village A and others are from village B. The average score of students from village B in a test is 20% more than that from village A. if the average score of all the students is 53 Then what is the average score of the students from village B ?
Q2. A is 20% more than B, B is 25% more than C, C is 60% less than D and D is 20% more than E. Based on the above information, which of the following is true ?
(a) D is 60% less than B.
(b) E is 28% more than A.
(c) A is 40% less than D.
(d) C is 24% less than A.
Q3. In ∆ ABC, D and E are the points on sides AB and AC, respectively, such that DE || BC. If DE : BC is 3 : 5 , then (area of ∆ ADE ) : (Area of quadrilateral DECB ) is :
(a) 9 : 16
(b) 3 : 4
(c) 9 : 25
(d) 5 : 8
Q4. In ∆ABC, AB = 7cm, BC = 24 cm, and AC = 25 cm. If G is the centroid of the triangle, then what is the length (in cm ) of BG ?
Q5. If 30 persons take 10 day complete a certain work working 8 hours a day, then 40 persons should work how many hours a day so that the work is completed in 6 day ?
Q6. The volume of a right circular cone is 924 cm³. If its height is 18 cm, then the area of its base (in cm²) is :
Q7. The given Bar Graph present the Target and Actual production of AC Machines (numbers in thousands) of a factory over five months .
The total target production of AC Machines in February. April and May was what percentage less than the total actual production of AC Machines over all five months (correct to one decimal place) ?
Q8. If the eight-digit number 342x18y6 is divisible by 72, then what is the value of . for the largest value of y ?
Q10. Two circles of radii15 cm and 12cm intersect each other, and the length of their common chord is 18 cm. what it the distance (in cm) between their centers ?
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