## Distribution

i. Only one technician arrived by 10:00AM but he had to start his job at 11:20AM.

ii. Dev arrived at 12:00PM and started his task immediately.
iii. The first task to be finished did not take longer than 20 minutes.
iv. Interior Wash, which was the last task, was finished at 3:00PM.
v. Engine Tuning takes 30 minutes to complete, while Body Wash takes 50 minutes.
vi. Gaurav, who did not arrive first, performed Wheel Alignment and he was the third person to finish his task.
vii. Lalit was not the first person to arrive but finished his job before Dev, while Raju did not perform Interior Wash.

1. Which technician had to wait the longest to start his task after he arrived at the service station?

2. Which technician performed Body Wash?

3. How many technicians definitely did not have to wait to perform their tasks?

4. At what time did Krish arrive?

## Numbers

For how many positive integers p, is (30 – p)/(p-10) is a prime number ?

## Circular Arrangements

Four couples, i.e., the Guptas, Patels, Khannas and Shahs join at a party. They sit on equally spaced chairs around a circular table facing the centre of the table. Following conditions are to be satisfied.

(i) No husband and wife sit next to each other.

(ii)No two husbands sit next to each other.

(iii)Mrs. Patel sits opposite to Mrs. Khanna.

1. In how many ways, can these four couples can be seated?

2. If Mrs. Shah and Mr. Patel sit next to each other, then who sits opposite to Mr. Shah?

A. Mr Khanna
B. Mrs Patel
C. Mr Gupta
D. Cannot be determine

3. If Mr. Gupta and Mrs. Khanna are adjacent to each other, then who among the following is to the right of Mr. Shah?

A. Mrs Gupta
B. Mrs Patel
C. Mrs Khanna
D. Either Mrs Gupta or Mrs Patel

4. If all the female members are made to face outside and all the male members face inside, then which of the following is definitely false?

A. Mrs. Khanna is third to the right of Mr. Khanna.
B. Mr. Gupta is second to the left of Mr. Patel.
C. Mrs. Shah is always to right of Mr. Gupta.
D. Mrs. Khanna is to the immediate left of Mr. Gupta.

For how many of the following values of k can F( x ) = ( k + 10) x2 + ( k + 10) x – 9 = 0 have equal roots?

(i) −46 (ii) −25 (iii) −10 (iv) −3 (v) 10

A. 1
B. 2
C. 3
D. 0

## Clocks/Calendars

A digital clock at Ghanta Ghar, Chandni Chowk shows time in MM : DD : HH : mm : SS format, where DD stands for the date of the month, MM stands for the month, HH stands for hours, mm is for minutes and SS is for seconds. The HH in the clock is in 24 hours format, so it can be maximum 23.
For example, if it is 29 July and the time of the day is 9:40:04 p.m., then that clock will show 07 : 29 : 21 : 40 : 04.

One day, while looking at the clock, Nishikant noticed that all the digits in the time shown by the clock are distinct.

1. If the time, when Nishikant noticed, is the earliest possible of the year using all distinct digits, then what must be the digits at the place of HH?

2. If the time, when Nishikant noticed, is maximum possible of the year using all distinct digits, then what must be the value of SS?

3. What can be the maximum number of 4’s in this clock at any time, if all the digits in the clock are not necessarily distinct?

4. How many distinct times are possible with all distinct digits?

## Distribution

Seven groups – Drishadvati, Beas, Ghaggar, Hindon, Tambraparani, Khadirbet and Uchha of students from class XI were given a project to collate information about excavation site from various states/territories related to INDUS VALLEY CIVILISATION and present.

Excavation sites: Manda, Dholavira, Alamgirpur, Sangol, Adichhanallure, Rakhigarhi and Bhirrana
States/territories: Jammu, Gujarat, Delhi, Punjab, Tamilnadu, Haryana. Two sites are in Haryana.
The seven groups were from three sections of class XI – A, B and C. Number of groups from each sections was different. 25 minutes were given for each group to present.

There was a gap of 5 minutes between two consecutive presentations and also a gap of more than 30 minutes between two presentations from group of the same section.

The following details are known:

a. Beas group started the presentation at 10:30 AM. This was the last but one presentation.
b. The name of a group does not start with the same letter of a state/territory in which excavation site (on which the presentation was based) is located except for one group.
c. Ghaggar was the last group to present from their section. The presentation was based on the excavation site Bhirrana – Haryana.
d. Hindon was the second group to present from section B. The group presented on Alamgirpur- Delhi.
e. Presentation on Adichhanallure-Tamilnadu was after the presentation on Sangol- Punjab . Sangol- Punjab was the 3rd presentation from section B.
g. Group Uchha neither presented site Rakhigarhi nor the site from state Jammu.
h. Two groups from section A chose excavation sites from the same state.

1. Group Uchha started the presentation at ____.A. 10 AM
B. 11: 00 AM
C. 8:30 AM
D. 9: 30 AM

2. Presentation about which site was given at 9:30 am?
A. Bhirrana
B. Alamgirpur
C. Sangol
D. Rakhigarhi

3. The excavation site Manda is in which state?
A. Haryana
B. Gujrat
C. Punjab
D. Jammu

## Distribution

In South Delhi, there are exactly five different malls – City Centre, Central, Central Square, City Square and Square Central. Eachmall has a different restaurant among Eat Street, Eatery Bay, Bay Street, Streetfood and Food Bay. Further, each restaurant serves a different cuisine among Indian, Chinese, Italian, Mexican and French.

On a particular day, each of five persons, Ankit, Bhuvi, Chinmay, Dhruv and Ekansh visited a different restaurant among the ones mentioned above. It is also known that

i. Food Bay is in Central Square, while Dhruv visited City Square.

ii. the restaurant that serves Indian cuisine was visited by Bhuvi, while the Bay Street does not serve French cuisine.

iii. Ekansh, who visited Eat Street, did not visit the restaurant that serves Mexican cuisine.

iv. Square Central has the restaurant which serves French cuisine and this was visited by Chinmay.

v. Streetfood, which is not in City Centre, serves Chinese cuisine and this was visited by Ankit.

1. Which cuisine does the restaurant that Dhruv visited serve?

2. Who among the following visited Eatery Bay?

A. Bhuvi
B. Dhruv
C. Chinmay
D. Cannot be determined

3. Which cuisine does the restaurant in Central serve?

4. Which mall did Bhuvi visit?

## Double Line Up/Distribution

Seven persons – Gayatri, Swati, Rohini, Urvashi, Jigyasa, Vartika and Riya are staying in a seven – storeyed apartment (not necessarily in the same order). Ground floor is considered as Ifloor. I floor is considered as II floor and so on. They are working in seven different banks – SBI, Axis, PNB, OBC, ING, BOB, and HDFC. The following information is known about them.

(1) Swati lives on an even numbered floor and immediately below the person who is woking in SBI.
(2) Urvashi lives on the second floor and works in BOB. Neither Vartika nor the person working in OBC stays adjacent to Urvashi.
(3) Equal number of floors are there above the person working in PNB and below Gayatri’s floor.
(4) The person working in PNB stays below the Urvashi’s floor. The person working in SBI does not live on the fifth floor.
(5) Rohini works in Axis and lives two floors below Gayatri’s floor.
(6) The person working in HDFC lives immediately above Riya’s floor.

1. Who among the following works in HDFC?

(A) Riya
(B) Vartika
(C) The person who lives on the fourth floor
(D) Both (B) and (C)

2. Which among the following is ‘definitely false’?

(A) Jigyasa lives on an odd numbered floor.
(B) Vartika lives below Riya’s floor.
(C) Swati works in OBC bank.
(D) None of these

3. Four of the following are alike in a certain way and hence form a group, which is the one that does not belong to that group?

(A) Rohini – BOB
(B) Gayatri – HDFC
(C) Urvashi – Axis
(D) Swati – ING

4. How many persons are living between the person’s floor who is working in OBC and Jigyasa’s floor?

(A) One
(B) Three
(C) Four
(D) Five