Cat Quant Test No 11

  • April 2020
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Quant Test 11

1. If the three real roots of equation

are the second, fifth and the eighth terms of a geometric progression, then which of the following is true?

j q =0 k l m n j p + 2q = 0 k l m n j q + 3p = 0 k l m n j p+q=0 k l m n j None of these k l m n i Skip this question j k l m n

2. Let P be the product of all natural numbers between 45 and 293 that have an odd number of factors. Find the highest power of 12 in P.

j 9 k l m n j 5 k l m n j 7 k l m n j 8 k l m n j 6 k l m n i Skip this question j k l m n

3. Assume r, s and t be three distinct integers between 0 and 10. If 1/r + 1/s -3/t = 2/r then find the number of distinct values of (r + s – t).

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

4. A three-digit natural number ‘a’ when divided by another natural number N gives remainder 4. Another natural number ‘b’ when divided by N gives remainder 3. If ‘b’ is twice of ‘a’ and the remainder when (100a + 11b) is divided by 55 is 23, then find the number of possible values of ‘a’.

j 20 k l m n j 19 k l m n j 18 k l m n j 17 k l m n j 16 k l m n i Skip this question j k l m n

5.  Shefali and Parul have got a certain number of red and black marbles with them. The ratio of number of red marbles and black marbles with Shefali  and Parul is 7 : 1 and 9 : 1 respectively. If in all they have 90 marbles, then how many red marbles could Parul have?  

j 9 or 45 k l m n  

j 9 or 36 k l m n

 

j 36 or 7 k l m n j 18 or 36 k l m n j 18 or 45 k l m n

www.complore.com/test4PDF.php?id=31 i Skip this question j k l m n

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j 18 or 36 k l m n j 18 or 45 k l m n i Skip this question j k l m n

6.  If the sum of lengths of three sides of a rectangle is 100 units, then find the maximum possible area of the rectangle ?  

j 1110.9 sq. units k l m n j 1250 sq. unit k l m n j 990 sq. units k l m n j 1008 sq. units k l m n j 1225 sq. units k l m n i Skip this question j k l m n

7.  What is the remainder when 77 + 77 7 + 7777 + 77777 +…+ 7 77777777 is divided by 8?

j 5 k l m n j 1 k l m n j 3 k l m n j 7 k l m n j 0 k l m n i Skip this question j k l m n

8.  Two cyclists are travelling at a speed of 3 km/hr and 10 km/hr around a circular track. What should be the ratio of number of distinct points that  they would meet on that track if they travel in the same direction first and in the opposite direction next?  

j 7 : 13 k l m n j 3 : 10 k l m n j 3:7 k l m n j 30 : 13 k l m n j Cannot be determined k l m n i Skip this question j k l m n

9.  For how many values of a natural number ‘n’, the LCM of 66 , 88 and ‘n’ is 121 2?

j 1 k l m n j 6 k l m n j 24 k l m n j 25 k l m n j 36 k l m n i Skip this question j k l m n

10.  Let a, c  2, 4, 6, 8, 10, 12 and b  22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.

j 15 k l m n j 18 k l m n j 45 k l m n j 90 k l m n j 36 k l m n i Skip this question j k l m n

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