Consider four digit numbers for which the first two digits are equal and the last twodigits are also equal. How many such numbers are perfect squares?
3
2
4
0
1
Year of Exam : CAT - 2007
A group of 630 children is arranged in rows for a group photograph session. Each row containsthree fewer children than the row in front of it. What number of rows is not possible?
3
4
5
6
7
Year of Exam : CAT - 2006
The sum of four consecutive two-digit odd numbers, when divided by 10, becomes aperfect square. Which of the following can possibly be one of these four numbers?
21
25
41
67
73
Year of Exam : CAT - 2006
ABC is a triangle inscribed in a circle. AD and AE are straight lines drawn from the vertex A to the base BC parallel to the tangents at B and C respectively. If AB=5 cm , AC=6 cm , CE=9 cm then the length of BD is
A) 7.5
B) 10.8
C) 7
D) 6.25
pls share your approach. . .
The sum of four consecutive two-digit odd numbers, when divided by 10, becomes aperfect square. Which of the following can possibly be one of these four numbers?
21
25
41
67
73
Year of Exam : CAT - 2006
The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be:
101 : 88
87 : 100
110 : 111
85 : 98
97 : 84
Year of Exam : CAT - 2006
When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?
5
6
7
8
10
Year of Exam : CAT - 2006
A person borrowed a certain sum of money at a rate of 15% and promised to return it back in two years in two equal installments of 52900. Find out the sum that was borrowed
If N be an element of the set A= { 1,2,3,5,6,10,15,30} and P,Q,R are integers such that PQR=N,then the number of positive integral solutions of PQR=N is
someone explain
A rational number A/B where A and B are co-prime, is converted into a decimal number. If both A and B are less than 100, then for how many values of B willalways be a terminating decimal?
1.40
2.60
3.14
4.15
1024
1
729
512
Approach Please.
Aman, Baman and Chaman can finish a job working alone in 15, 20 and 25 days respectively. However, while working with somebody the efficiency of Aman, Baman and Chaman reduces by 30%, 20% and 50% respectively. If none of them is allowed to work for three consecutive days, then what is the maximum possible fraction of the job that they can complete in four days?
pls explain....
The angles of depression of two boats separated by 600 m on either side of a light house are 15° and 75° respectively. The height of the light house in metres is
Find the length of the shortest median of triangle ABC whose sides AB, BC and CA are 10 cm, 24 cm and 26 cm respectively.
12 cm
21.33 cm
13 cm
Cannot be determined
Find the length of the shortest median of triangle ABC whose sides AB, BC and CA are 10 cm, 24 cm and 26 cm respectively.
12 cm
21.33 cm
13 cm
Cannot be determined
Andrea and Lauren are 20kms apart. They bike towards one another with andrea travelling three times as fast as lauren , and the the distance between then decreasing at a rate of 1km/min. After 5 mins, Andrea stops because of a flat tire and waits for Lauren. After how many minutes from the time they started to bike does lauren reach Andrea.
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if N = 2^2 * 3^3 * 5^2 * 10^2
k is a whole number
How many factors of N are of the form : 2k+1
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Let M = ( 7 k^6 + 6 k^5 + 4 k^3 +3 k^2 + 2 k+ 21) / (k-1) )
If k is a positive integer , for how many values of k is M an integer ?
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