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Ajit can complete a piece of work in 60 days whereas Kailash and Shailendra working together can complete it in 15 days. When Ajit and Shailendra alternately works for a day each, the work gets completed in 40 days. Then the number of days in which Kailash will complete twice the work is
(a) 30 (b) 40 (c) 52 (d) 60 (e) None of these

A and B run a 1560 m race ending in a dead heat. At first, the speed of A and B are in the ratio of 7 : 5.
B then quickens his pace and for the remainder of the race runs 40 percent faster than A. How many
metres A run before B quickens his pace?
(a) 650 (b) 780 (c) 910 (d) 900 (e) None of these

In a triangle ABC, AB = 3 cm, AC = 4cm and the length of the median AD to the side BC is 3.5cm, then
the side BC is equal to
(a) 1 (b) 3.25 (c) 5
(d) cannot be determined (e) None of these

The cost price of an article is Rs.16. The percentage of profit when calculated on the selling price is
numerically equal to the selling price. Then the selling price of the article is
(a) 20 (b) 40 (c) 80
(d) Both (a) and (c) (e) None of these

A starts crossing the field diagonally. After walking half the distance, he turns right, walks some distance
and turns left, which direction is A facing now?
(a) North-East (b) North-West (c) South-East (d) South-West (e) North

From the positions in the figure, A and C move diagonally to opposite corners and then one side each
clockwise and anti-clockwise respectively. D and B move two sides each clockwise and anti clockwise
respectively. Where is A now.
(a) At the North-West corner. (b) At the North-East corner.
(c) At the South-East corner. (d) At the South-West corner.
(e) Mid way between original position of B and D.

In the month of May, average price of pair of show was Rs. 430. If the average price of ladies, gents
and children’s shoes were in the ratio of 4 : 5 : 3, then what was the average price of a pair of ladies
shoes ?
(a) Rs. 100 (b) Rs. 400 (c) Rs. 300 (d) Rs. 500 (e) None of these

If in the month of Jan, 24% ladies bought sports show and in May 80% ladies bought casuals, then
what was the percentage difference between the sports show purchased by ladies in Jan Than the
casuals by ladies in May ?
(a) 10% (b) 67% (c) 40% (d) 33% (e) None of these

What was the difference in the number between the gents who bought sports shoes and ladies who
bought formals for the above given period ?
(a) 33 (b) 65 (c) 16 (d) 20 (e) None of these

In how many months did the number of pair of formal shoes for children and ladies decreased or
remained same than the number of pair of casual shoes for gents? (Considering the number of pairs of
shoes in integers)
(a) 2 (b) 3 (c) 1 (d) 4 (e) None of these

The value of when x = 2 and y = – 2 is
(a) – 18 (b) – 14 (c) 14 (d) 18 (e) None of these

The sum of two numbers is 15 and the sum of their squares is 113. The numbers are:
(a) 4, 11 (b) 5, 10 (c) 6, 9 (d) 7, 8 (e) None of these

If in a right angle triangle, three sides are 3,4, 5, what is the circumradius of the triangle?
(a) 5 (b) 2 (c) 9 (d) 2.5 (e) None of these

The difference between largest four digit number and smallest four digit number is
(a).8999 (b) 9998 (c) 8899 (d) 8888 (e) None of these

Two numbers are in the ratio 1: 5. If 5 is added to each number, their ratio becomes 1 : 4. State the
number of the choice which gives correct pair of numbers.
(a) 16, 80 (b) 20, 100 (c) 15, 75 (d) 10, 5 (e) None of these

Seema weighs 5/9 of her weight plus 20 kg. What is the actual weight of seema?
(a) 36 kg (b) 72 kg (c) 27 kg (d) 45 kg (e) 30kg



Maharashtra Common Entrance Test Paper







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