Cat De Quant Test 38

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Quant Test 38

1. The total number of bananas with three friends Moti, Sumit and Manky is 10. Also, the sum of the reciprocals of the number of bananas with the three mentioned friends is 1. If the number of bananas with each of the three mentioned friends is an integer, then what can be the difference between the number of bananas with Moti and Sumit?

2 3 0 1 Cannot be determined Skip this question

2. A circle is drawn with centre O and OB as radius, where OB is one of the sides of a parallelogram ABOD. The circle cuts AB and DO at the points N and M respectively. If the radius of the circle is 3 units, AN = 1 unit and NB = 4 units, then which of the following is/are correct?

Area of quadilateral ANMD = 3/2 * sqrt5 square units Area of ABOD = 5 sqrt5 square units Area of ∆BON = 3 sqrt5 square units BD = 5 units DM = 1 unit Skip this question

3. Rohan, a young scientist was caught inside a science lab which got engulfed in fire. It has 5 exit doors arranged in a line, which open one after the another. Each door opens with the fingerprints of a person such that he can use any two fingers to open any door. Also any combination of two fingers once used to open a door cannot be further used to open any other door. If he can use all the five fingers of his right hand, then in how many ways can he open all the doors and escape out of the lab?

24192 6048 10C5 × 4! 30240 10C5 × 5! Skip this question

4. The roll numbers of the three students in a class is ‘x’, ‘y’ and ‘z’ respectively. If x/y = 2/7 then which of the following can be the value of

30 / 7 61 / 7 6 94 / 7 2 Skip this question Directions for Questions from 5 to 7: Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.

5. A wire of length ‘l’ units is cut into three pieces having lengths ‘a’ units, ‘b’ units and ‘c’ units. If a > b > c, then is ‘b’ an odd number? A: The product of ‘a’ and ‘b’ is 60 square units. B: The product of ‘b’ and ‘c’ is 12 square units.

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2 3 4 5 Skip this question

6. The total number of candies with three kids Himanshu, Prachi and Veena is an integer, which is less than 1000. The number of candies with Prachi is the square root of the number of candies with Veena The number of candies with Himanshu is the square root of the number of candies with Prachi. What is the number of candies with each of the three mentioned kids? A: The number of candies with Himanshu is a perfect square. B: Each of the mentioned kid has an even number of candies.

1 2 3 4 5 Skip this question

7. The club ‘M’ has a total strength of 700 members. One third of the members who do not have breakfast, do not have dinner as well. How many members are there who neither have breakfast nor have dinner? A: Half of the members who do not have dinner, do not have breakfast as well. The number of members who have both breakfast and dinner is 200. B: The number of members who do not have dinner is 100

1 2 3 4 5 Skip this question

8. A group containing certain number of men and women can complete a piece of work in 120 days working together. A woman is replaced by a man in the group and now all the people in the group can complete the same work in 96 days working together. If again a woman is replaced by a man in the existing group, then in how many days the same piece of work can be completed by all the people in the group working together?

88 80 72 70 79 Skip this question Directions for Questions from 9 to 9: Answer the questions on the basis of the information given below. PQR is an equilateral triangle as shown in the figure given below. Let S be a point on QR. A semicircle is drawn having SR as diameter such that PQ is a tangent to the semicircle at the point T. Given that the center of the semicircle is at point O and the radius of the semicircle is 1 unit.

9. Given that the semicircle cuts PR at the point U. What is the ratio of length of the line segment PU to the radius of the semicircle?

1: (2 –sqrt(3)) 2 : sqrt(3) 3 : ( sqrt(3) +1) 1: ( sqrt(3) −1) None of these Skip this question

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10. If f(x) = 2x2 + (ab2 + ac2 – 2abc)x + abc and the minimum value of f(x) is at x = –54, then the what is the minimum value of (a + 2b – 2c)? (Given that a > b > c)

18 10 12 20 – 20 Skip this question

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