Numbers
N = 2.xxyxxyxxy…, where at most one of the digits x and y is 0. Which of the following numbers, when multiplied by N, necessarily results in an integer?
1. 198
2. 666
3. 990
4. 1998
Author: TG.Raman
Arithmetic
Five men take as much time to do a job as 10 women take. If 6 men take 10 days to complete a job working 4 hours per day, how much time would 10 women take to do a job twice as much as the former working 6 hours a day?
A. 12 days
B. 14 days
C. 16 days
D. 18 days
Algebra
What is the sum of coefficients of the binomial expansion (3x + 2/x)4
1. 125
2. 625
3. Depends on the value of x
4. None of these
Odd Man Out
Find out the wrong number in the series :
58, 39, 26 , 11 , 1.
Counting
How many rectangles of different dimensions are possible to form, if 6 parallel lines intersect with 8 parallel lines perpendicular to initial set of lines ? ( Assume that all lines are equispaced )
A. 210
B. 205
C. 21
D. 25
Five people – Amar, Vineet, Chintu, Dimple and Etika – are standing in a row facing East. It is also known that:
(i) Amar is standing adjacent to neither Vineet nor Etika.
(ii) Chintu is standing to the immediate left of Amar.
(iii) Either Vineet or Etika, but not both, is standing at one of the ends.
(iv) Etika is standing to the right of Chintu.
Who among the five is standing in the middle of the row?
(a) Amar (b) Chintu (c) Dimple (d) Either Vineet or Etika
Counting
In how many ways can 3 integers be selected from the set {1,2,3,4,…….,37} such that the sum of the 3 integers is an odd number ?
A. 3,876
B. 7,638
C. 6,378
D. 1,938
Dinner
Yesterday evening, Helen and her husband invited their neighbors (two couples) for a dinner at home. The six of them sat at a round table. Helen tells you the following:
•”Victor sat on the left of the woman who sat on the left of the man who sat on the left of Anna.
•Esther sat on the left of the man who sat on the left of the woman who sat on the left of the man who sat on the left of the woman who sat on the left of my husband.
•Jim sat on the left of the woman who sat on the left of Roger.
•I did not sit beside my husband.”
What is the name of Helen’s husband?
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