Selections

Out of seven people – Anusha, Bhavya, Chandani, Deepika, Elina, Fardeen and Gyani, four are to be selected.
1. At least one of Elina or Bhavya must be selected and at most one between Anusha or Deepika can be selected.
2. Either Chandni or Deepika must be selected.
3. Anusha, Fardeen and Gyani cannot be selected together.

1. If A is selected then who must be selected?
(A) Deepika (B) Fardeen (C) Gyani (D) Chandani

2. If neither A nor D is selected, then in how many different ways can the four persons be selected?
(A) Three
(B) Four
(C) Five
(D) Two

Distribution

Five girls Rekha, Sobhna, Tarla, Urvashi and Vartika share an apartment and have distributed tasks among themselves. One girl makes breakfast each day, Monday through Friday and cooks one of the five dishes – upama, dosa, idli, uttapam and paratha.

Vartika does not make uttapam and does not cook on Tuesday.
Sobhna makes parathas but not on Monday or Friday.
Upama is made on Thursday.
Tarla makes her dish, which is not uttapam, on Wednesday.
Idli is made on Friday but not by Urvashi.

1. Rekha cooks on Monday. What does Tarla cook on Wednesday?

2. On which day does Urvashi prepare her dish?

Arrangements

Five couples are sitting around a regular pentagonal table, with two persons along each edge. Among the five couples, Avnish, Bikram, Chintu, Deepak and Eshank are male members and Ashmita, Vidya, Charu, Dimple and Ekta are female members. It is also known that:

(i) Persons sitting along the same edge are neither of the same gender nor married to each other.
(ii) Eshank is sitting three places to the right of his wife, Charu.
(iii) Bikram is equidistant from Avnish and Ekta, who are not married to each other.
(iv) Members of none of the couples, except Ashmita and Bikram, are sitting next to each other.
(v) Deepak, who is married to neither Dimple nor Ekta, is sitting five places to the left of Ashmita.
(vi) Chintu is sitting three places to the left of Deepak and four places to the right of Vidya.

1.  Who is the wife of Chintu?
(a) Vidya (b) Dimple (c) Ekta (d) Either (b) or (c)

2. Who is sitting between Deepak and Charu?
(a) Eshank (b) Dimple (c) Chintu (d) Cannot be determined

3. Whichof the following pairs represents a couple?
(a) Vidya-Deepak (b) Avnish-Dimple (c) Both (a) and(b) (d) None of these

Constraint Based Puzzle

Vikram, an army major, has a safe which contains important documents. The safe can be opened using a six-digit numeric passcode (each digit can be any number from 0 to 9). For security purpose, he changes the passcode every week in the following manner:

i. He adds the first and second digits of his current passcode, the second and third digits, the third and fourth digits, the fourth and fifth digits, the fifth and sixth digits.
ii. The first sum is the first digit of his new passcode, the second sum is the second digit and so on till the fifth sum, which is the fifth digit of his new passcode.
iii. If any of the sums is greater than or equal to 10, he uses only the units digit of the sum in his new passcode.
iv. The sixth digit of his new passcode is the same as the first digit of his current passcode.

1. If the passcode of the safe during a particular week was 786958, what would have been the passcode two weeks earlier?

2. If the first five digits of the passcode during a particular week was 17718, which of the following could have been the passcode two weeks earlier?
A. 564789
B.  741869
C.  324796
D.  914756

3. During two consecutive weeks, Vikram realized that the passcode during the two weeks was the same. Which of the following can be the sum of the first three digits of the passcode?
A.0
B.1
C.6
D.9

4. If the last five digits of the passcode during a particular week was 55555, how many possibilities exist for the passcode that he sets the next week?