Q1. Divide 32 into two parts such that the sum of the square of the parts is 674. What is the value of the parts?
(a) 22, 10
(b) 30, 2
(c) 25, 7
(d) 20, 12
Q2. The average revenues of 13 consecutive years of a company is Rs 78 lakhs. If the average of first 7 years is Rs 73 lakhs and that of last 7 years is Rs 85 lakhs, what is the revenue for the 7th year?
(a) Rs 94 lakhs
(b) Rs 90 lakhs
(c) Rs 88 lakhs
(d) Rs 92 lakhs
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Q3. In what ratio is the segment joining the points (2,5) and (-6,-10) divided by the y axis?
Q4. A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?
(a) Rs 950
(b) Rs 1149
(c) Rs 1244
(d) Rs 751
Q5. A bank offers 5% compound interest per half year. A customer deposits Rs 4800 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest?
(a) Rs 732
(b) Rs 1464
(c) Rs 366
(d) Rs 183
Q6. If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?
Q7. If (1 + sec A)/tanA = x, then x is
Q8. ΔPQR is right-angled at Q. QS is the altitude. PQ is 2√13 cm and PS is 4 cm. What is the length of SR?
(a) 6√13 cm
(b) 4√13 cm
(c) 7 cm
(d) 9 cm
Q9. What are the roots of the quadratic equation: + 3x- 154 = 0
(a) 11, -14
(b) 11, 14
(c) 14, -11
Q10. If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
(a) 28.8 cm
(b) 14.4 cm
(c) 7.2 cm
(d) 21.6 cm
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