Cat Quant Test No 14

  • June 2020
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Quant Test 14

1.  How many 4-digit positive integral numbers are there in base 7, if you are counting the numbers in the same base system?  

j 2058 k l m n j 5666 k l m n j 6000 k l m n j 6666 k l m n j None of these k l m n i Skip this question j k l m n Directions for Questions from 2 to 3: Answer the questions on the basis of the information given below. A city has two perfectly circular and concentric ring roads, the outer ring road (OR) being twice as long as the inner ring road (IR). There are also  four (straight line) chord roads from E1, the east end point of OR to N2, the north end point of IR; from N1, the north end point of OR to W2, the  west end point of IR; from W1, the west end point of OR, to S2, the south end point of IR; and from S1, the south end point of OR to E2, the east  end point of IR. Traffic moves at a constant speed of 30 ? km/hr on the OR road, 20 ? km/hr on the IR road, and 15sqrt(5) km/hr on all the chord  roads 2.

Amit wants to reach N2 from S1. It would take him 90 minutes if he goes on minor arc S1 – E1 on OR, and then on the chord road E1 – N2. What is the radius of the outer ring road in kms?

j 60 k l m n j 40 k l m n j 30 k l m n j 20 k l m n j 10 k l m n i Skip this question j k l m n

3.

Amit wants to reach E2 from N1 using first the chord N1 – W2 and then the inner ring road. What will be his travel time in minutes on the basis of information given in the above question?

j 60 k l m n j 45 k l m n j 90 k l m n j 105 k l m n j None of these k l m n i Skip this question j k l m n Directions for Questions from 4 to 7: Each question is followed by two statements, A and B. Answer each question using the following instructions. Choose [1] if the question can be answered by A alone and not by B. Choose [2] if the question can be answered by B alone and not by A. Choose [3] if the question can be answered by using either statement alone. Choose [4] if the question can be answered by using both the statements together, but cannot be answered by using either statement alone. Choose [5] if the question cannot be answered even by using both the statements together 4. Is A. B.

a44 < b 1 1, given that a = 2 and b is an integer? b is even b is greater than 16

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n

5.

 

What are the unique values of b and c in the equation 4x2 + bx + c = 0 if one of the roots of the equation is (-1/2)? A. The second root is 1/2 B. The ratio of c and b is 1

 

j 1 k l m n j 2 k l m n j 3 k l m n www.complore.com/test4PDF.php?id=40 j 4 k l m n

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j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n

6.

AB is a chord of a circle. AB = 5 cm. A tangent parallel to AB touches the minor arc AB at E. What is the radius of the circle? A. AB is not a diameter of the circle B. The distance between AB and the tangent at E is 5 cm.

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j None k l m n i Skip this question j k l m n

7.

D, E, F are the mid points of the sides AB, BC and CA of triangle ABC respectively. What is the area of DEF in square centimeters? A. AD = 1 cm, DF = 1 cm and perimeter of DEF = 3cm B. Perimeter of ABC = 6 cm, AB = 2 cm, and AC = 2 cm

j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n

8. In a survey, it was found that the number of students in the college has increased by 20% over the previous year. The number of boys has increased by 10%, whereas the number of girls has increased by 35%. Find out the present percentage of girls in the college

j 40 k l m n j 45 k l m n j 55 k l m n j 75 k l m n j 60 k l m n i Skip this question j k l m n

9. 10000! = (100!)K × P, where P and K  I. What can be the maximum value of K?

j 97 k l m n j 102 k l m n j 103 k l m n j 104 k l m n j 107 k l m n i Skip this question j k l m n

10. What is the probability of hitting a dart 1 cm away from the corner of a cardboard of dimensions 10 cm × 8 cm

j 22/141 k l m n j 11/140 k l m n j 11/280 k l m n j 11/140 k l m n j 11/150 k l m n i Skip this question j k l m n

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