IMPAT Indore - Makhija Academy

IMPAT Indore Quantitative Ability

Direction (1 – 3): The following table shows the number of employees and their median age in eight companies located in a district

Company Number of	employees	Median age
A	32	24
B	28	30
C	43	39
D	39	45
E	35	49
F	29	54
G	23	59
H	16	63

It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C,… the age of every employee in G is strictly less than the age of every employee in H.

1. In company F, the lowest possible sum of the ages of all employees is_______

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1. In company F, the lowest possible sum of the ages of all employees is_______

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1. In company F, the lowest possible sum of the ages of all employees is_______

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2. The median age of employees across the eight companies is_____

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3. The highest possible age of an employee of company A is _____

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4. Let ABC be a triangle right-angled at B with AB = BC = 18. The area of largest rectangle that can be inscribed in this triangle and has B as one of the vertices is _________

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5. The number of pairs (x, y) of integers satisfying the inequality |𝑥 − 5| + |𝑦 − 5| ≤ 6 is

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6. The price of a chocolate is increased by x% and then reduced by x%. The new price is 96.76% of the original price. Then x is _______

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7. Person A borrows Rs. 4000 from another person B for a duration of 4 years. He borrows a portion of it at 3% simple interest per annum, while the rest at 4% simple interest per annum. If B gets Rs. 520 as total interest, then the amount A borrowed at 3% per annum in Rs. is

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8. If is a matrix such that the sum of all three elements along any now, column or diagonal are equal to each other, then the value of determinant of A is

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14. Let 𝑓 𝑎𝑛𝑑 𝑔 be two function defined by and for some real a. then the maximum possible vale of 𝑓(𝑔(𝑎)) is _________

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16. Sagarika divides her savings of 10000 rupees to invest across two schemes A and B. Scheme A offers an interest rate of 10% per annum, compounded half-yearly, while scheme B offers a simple interest rate of 12% per annum. If at the end of first year, the value of her investment in scheme B exceeds the value of her investment in scheme A by 2310 rupees, then the total interest, in rupees, earned by Sagarika during the first or investment is

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IMPAT Indore Quantitative Ability

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