Aptitude 1

Q1. When n is divided by 6, the remainder is 4. When 2n is divided by 6, the remainder is

1
2
0
4

( b) n = 6 x K + 4 2n = 2 ( 6k + 4)
= 12 k + 8
= 12 k + 6 + 2
= 6 ( 2k + 1 ) + 2

Q2. The smallest among the numbers 2²⁵⁰, 3¹⁵⁰, 5¹⁰⁰ and 4²⁰⁰ is

2²⁵⁰
4²⁰⁰
5¹⁰⁰
3¹⁵⁰

(c) : 2²⁵⁰ =( 2⁵)⁵⁰ = 3250
3¹⁵⁰ = 27⁵⁰
5¹⁰⁰ = 25⁵⁰
4²⁰⁰ = 256⁵⁰
SMALLEST NUMBER = 25⁵⁰

Q3.If A : B = 3 :4 and B :C = 6 : 5, then C : A is

9 : 8
10 : 9
9 : 10
8 : 9

(b)

Q4. The difference of two numbers is 5 and the difference of their squares is 135. The product of the numbers is:

176
178
180
182

(a) Let the two numbers are x and y => x - y = 5 and x2 – y2 = 135
(x – y) (x + y ) = 135 => 5 ( x + y) = 135  x + y = 27
Solving x – y = 5 and x + y = 27 We get x = 16 and y = 11
So product of the number = 16x11= 176

Q5. 91 + 4 92 + 4 93 + 4 94 is divisible by

17
13
11
3

(a) 4 ⁹¹ + 4 ⁹² + 4 ⁹³ + 4 ⁹⁴ = 4 ⁹¹ ( 1 + 4 + 4² + 4 ³ ) = 4⁹¹ x 85
= is divisible by 17

Q6. A sum of Rs. 395 was divided among A, B and C in such a way that B gets 25% more than A and 20% more than C. What is the share of A?

Rs. 195
Rs. 180
Rs. 98
Rs. 120

(d) Let each one’s share is A,B and C respectively, then
B =125A/100 = 120C/100
A =100B/125 =4/5B, C = 100B/120 = 5/6B 4/5B +B +5/6B =395, 79B/30 =395, B =395*30/79 =150
A = 4*150/5 = 120

Q7. The amount of work in a leather factory is increased by 50% By what per cent is it necessary to increase the number of workers to complete the new amount of work in previously planned time, if the productivity of the new labor is 25% more.

60%
66.66%
40%
33.33%

(c) Men x Time = Work 100 x 1 = 100 unit
150 x 1 = 150 unit
Extra man power required = 50
But since new workers are 5/4 times as efficient as existing workers.
Actual no. of workers = (50) / (5/4) = 40 men Hence, required percentage = (40 /100) x 100
= 40 %

Q8. In an army there are 2100 Soldiers. They have food reserves for 50 days. Some people among them left on leave. Now they can utilize their food reserves for 75 days. How many soldiers left on leave?

800
700
600
28

(b) : Assume that the soldiers who left on leave are K
So,
SoldiersDays
2100 50
2100 - k 75
if the number of soldiers reduces, the number of days increases. Then,
75 : 50 :: 2100 : (2100 - k) (75/50) = ((2100/ (2100-k)) 4200 = 6300 - 3k
=>3k = 2100 => k = 2100/3 = 700

Q9. Two buses A and B leave the same bus depot, A towards the North and B towards the East. The bus A travels at a speed of 5 km/hr more than that of the bus B. If after four hours the distance between the two buses is 100 km, find the speed of the bus A. a) 60 kmph b) 40 kmph c) 20 kmph d) 15 kmph

60 kmph
40 kmph
20 kmph
15 kmph

(c) : Let the speed of the bus B be x km/hr. Then the speed of the bus A will be ( x +5) kmph
Distance traveled in 4 hours is 4x and 4(x + 5) for the two buses respectively
(4x)² + {4 (x + 5) }² = (100)²
16x² + 16x² + 160x + 400 = 10000 32x² +160x –9600 = 0
x² + 5x –300 = 0 (x-15) (x +20 ) = 0 x = 15
:. Speed of the bus A = 15 +5 = 20 kmph

Q10. If the radius of a circle is diminished by 10%, then its area is diminished by :

10%
19%
20%
36%

(b) Let the original radius be R cm.
New radius = (90% of R) cm =[(90/100)*R] cm
= 9R/10 cm.
Original area = πR².
Diminished area = [πR²-π(9R/10)²] cm² = [(1-(81/100) πR²] cm^{2 = ((19/100 πR2) cm2. Decrease% = [(19πR2/100)*(1/πR2)*100]% = 19%.}

Eligiblity and Apply Online for SSC-CGL 2016

Staff selection Commission – Combined graduate Level (SSC CGL exam 2016) is conducted every year by the Staff Selection Commission of India. It is a combined graduate level exam for the students who are aspiring for the government jobs (Group B and Group C posts) in India after graduation in various departments and ministries of the Central Government. The SSC CGL exam is given by Lakhs of candidates which appear in this examination after graduation. Those aspirants who want to appear in this exam should start their preparation for SSC CGL 2016 so as to score good marks and clear the cutoff which is increasing every year due to high competition. The eligible and interested candidates should make their registration before the last date since sometimes due to large no. of candidates filling their forms on last dates the server breakdown or some technical problem may occur. After filling the application form candidates can appear in the examination for Tier 1, on qualifying Tier 1, the candidate will be allowed to appear for Tier 2. After qualifying the test conducted by SSC more opportunities will open up for graduates in the government sector as their thousands of government jobs opening in the year 2016.

The SSC CGL 2016 examination will be held in two tier systems, commonly known as Tier1 and Tier2. The mode of examination is multiple type questions (MCQ’s) having four choices for one question, the question will be asked from the subjects like general knowledge, general awareness, aptitude, English language and reasoning.

The candidates can check all the Details regarding SSC CGL 2016 like application form, eligibility criteria for SSC CGL, exam pattern, date of exams; and syllabuses for both tier1 and tier2, which have been mentioned below article.

◾Application Form:

The candidates looking for the SSC CGL 2016 application form are informed the application form will be announced very soon, interested candidates can fill the form through the online mode, from the official website of Staff Selection Commission (SSC). Candidates have to enter their details while registering for SSC CGL Part 1 registration, after completing part 1 of the registration candidates have login with the registration number generated in the part 1 of the registration and then proceed to the Part 2 of the registration through the given link mentioned in the official website of SSC. After completing part 2 registration in which uploading of candidate photograph and image is done (as per specified format), now the candidates have to procees towards fees payment, which is the last part of the application process. The application fees details for SSC CGL 2016 is mentioned below.

◾Application Fees

The candidates belonging to general and OBC category, they have to pay the application fees of Rs. 100, while the candidates belonging to ST/SC , Ex-servicemen and all girl candidates they are exempted for payment of SSC CGL 2016 fees. After filling the form candidates can pay their fees either through bank challan or by using online mode through Debit/Credit card or net banking.

The candidates can check the Staff Selection Commission notification for SSC CGL 2016 on its official website as soon as it will be officially declared by the SSC.

◾Eligibility:

The candidates applying for the SSC CGL exam, should be one of the following:

He should be a citizen of India

A subject of Nepal

A subject of Bhutan

Or a Tibetan refugee who came to India, before 1st January 1972, with the intention of permanently settling in India.

Age limitation – The candidates who want to appear in the SSC CGL exam 2016 should in age between 18-27 years, for some posts the age should be between 18-25, while for some other posts the age should fall between 18-30/32 years, the candidates should note for age proof the commission will only consider the Matriculation/secondary exam certificate.

Note: The age limit for all posts will be reckoned on 1st January, 2016.

There is the relaxation in the upper age limit for SC, ST and OBC candidates according to government reservation policy.

Qualification – The candidates appearing in the SSC CGL 2016 exam must have completed a bachelor’s degree from a recognized university, those candidates who are appearing in their final year of graduation are also eligible to apply provided that they should have completed their degree before 1st August 2016.

◾SSC CGL Calendar of Events:

SSC CGL Notification release date: May, 2016

Start of online Application: 1st week of May, 2016

Last date for Application: 1st Week of June, 2016

Admit card release date: last week of June, 2016

SSC CGL exam date 2016: August, 2016

Declaration of SSC CGL Result: Mid of September, 2016 (for Tier1)

◾How to apply online

• Aspirants should fill the online application form from the official website and complete the Part 1 of the registration, with all the necessary details like DOB, full name, father’s name, etc.
• Candidates should note the registration id and password generated in Part 1 of the registration and login with those credentials for Part 2.
• In Part 2 of the registration, candidates have to upload their photographs and signatures and then proceed towards fees payment.
• Fees can be paid through Bank Challan or internet banking or debit/credit card.
• For bank challan take a print out of challan form (available in the website) and deposit the fees to any branch of State Bank of India.
• Now fill in transaction no. given by the bank on fee challan.
• After that upload your recent photograph and signature and click submit.

◾Selection process

This SSC CGL exam is conducted in two tiers.

• Tier 1 exam: it is a common exam for all the posts, comprises of four sections General intelligence, 

General awareness, quantitative aptitude, English comprehension. Each section carries 50 marks. The duration of test is two hours and maximum marks are 200. Tier II exam:

 The Tier 2 exam will have three papers, comprising of questions from the following subjects: 

• First -quantitative abilities 
• Second- English language
• Third- statistics Each paper carrying 200 marks and all questions will be of MCQ’s type. 

Based on the results candidates will be shortlisted for the interview/ skill test/ computer proficiency etc. according to their posts.

◾SSC CGL Exam pattern

The tier I and tier II exams will be of objective type, having four choices for every question, candidates have to select the most appropriate response. The paper pattern for SSC CGL is discussed below.

◾Tier I pattern:

PART	Subject	No. Of Questions	Maximum Marks
A	General Intelligence & Reasoning	50	50
B	General Awareness	50	50
C	Quantitative Aptitude	50	50
D	English Comprehension	50	50

◾Tier II pattern:

PAPER	Subject	No. Of Questions	Maximum Marks
III	Statistics	100	200
I	Quantitative Abilities	100	200
II	English Language & Comprehension	200	200

Note: Time duration for each paper is two hours. There will be also a provision of negative marking in each paper, thus for every wrong answer 1/4th of the marks will be deducted.

◾Admit card

The Candidates who have filled the SSC CGL application form 2016 can download their SSC CGL Admit card for Tier 1 Examination by clicking on download link given on the official website. Candidates must download the admit card of Combined Graduate Level exam in order to appear for the exam. The admit card will contains all the details of the candidate and the center of the examination.

General1

Q1. Which one of the following Indus Civilization site gives evidence of a dockyard?

Harappa
Lothal
Mohenjodara
Rakhigarhi

Q2. Which of the following South Indian Kingdom is not mentioned in the Ashokan inscription?

Chola
Pandya
Satiyaputa
Satvahan

Q3. Which one of the following is NOT included in the eight-fold path of Buddhism?

Right speech
Right contemplation
Right desire
Right conduct

Q4. Who among the following rulers has been mentioned as protector of Varna System?

Pushyamitra Sunga
Kharvela
Gautamiputra Satakarni
Vasudeva

Q5. Who abolished Iqta System?

Babur
Mohammad-bin-Tughlaq
Iltutmish
Alauddin Khalji

Q6. Sheikh Nizamuddin Auliya was the disciple of

Sheikh Alauddin Sabir
Khwaja Moinuddin Chisti
Baba Farid
Purandar Khan

Q7. The Academic Association was founded by

Raja Rammohan Ro
Ishwar Chandra Vidyasagar
Henry Vivian Derozio
Ishwar Chandra Gupta

Q8. . Moplah Revolt of 1921 took place in

Kashmir
N.W.F.P.
Kerala
Assam

Q9.The book ‘Unto this Last which influenced Gandhi was authored by

Boris Yeltsin
John Ruskin
Pushkin
Ruskin Bond

Q10. During Indian freedom struggle, which one of the following happened earliest?

Simon Commission
Gaya Session of Congress
Tripuri Session of Congress
Gandhi-Irwin Pact

Reasoning 2

Q1. B J P ? D

X
S
R
U

(a) The sequence given is B+8 = J, J+6 = P, P+8 = X, X+6 = D,

Q2. If in a code language, LUXOR is written as 30, then, in the same language, GUILDS will be written as:

36
38
24
40

(c) L  12 U  21 X  24 O  15 R  18
Total – 90 3 = 30 Similarly,
G  07 U  21 I  09 L  12
D → 04
S  19
_______
Total 72 3 = 24

Q3. The managing Director of a company entered the hall for interview 10 minutes before 12: 30. He came 20 minutes before the chairman and chairman came 30 minutes late. What was the correct time for interview?

12 : 00
12 : 10
12 : 20
12 : 30

(b) Managing director entered the all = 12 : 30 – 10 minutes = 12 : 20

Q4. In the following number, how many ‘9’ are there which are proceeded and followed by an odd number?
5, 8, 9, 7, 5, 9, 7, 3, 9, 2, 9, 1, 1, 5, 9, 6, 3, 9, 3, 9, 7

Two
Three
Four
One

(b) Arrangement as per question: Odd digit  9  odd digit
5,8,9,7,5,9,7,3,9,2,9,1,1,5,9,6,3,9,3,9,7

Q5. Direction: Which of the following options will Gives meaningful series of the given words? 1. Lucknow 2. Uttar Pradesh
3. India 4. World 5. Asia

1, 2, 3, 5, 4
4, 1, 2, 3, 5
5, 1, 2, 3, 4
5, 1, 3, 2, 4

(a) Arrangement is = Lucknow --> Uttar Pradesh -- > India --> Asia--> World

Q6. Directions: Give below in each of the questions/ question group are two statements and two conclusions I and II following them. You have to assume the given statements to be true even if they are seems to be different from generally known facts. Study both the conclusions and then decide which of the conclusions logically follows the given statements, whatever the generally known facts may be
Answer (a) If only conclusion I follows
Answer (b) If only conclusions II follows
Answer (c) If both conclusion I and II follow
Answer (d) If neither conclusion I nor II follows

Statement :
I. All hens are cocks.
II. No cock is black.
Conclusion :
I. All cocks are hens.
II. No hen is black.

If only conclusion I follows
If only conclusions II follows
If both conclusion I and II follow
If neither conclusion I nor II follows

(b)

Q7. Directions (1-8): Select the related letters/word/ number/figure from the given alternatives. BD : CI : : DP : ?

EZ
EY
DF
EX

(b) 2 2² | 3 3² | 4 4² | 5 5²
B D | C I | D P | E Y

Q8. 2 : 3 : : 23 : ?

46
29
25
28

(b) 2 and 3 are prime numbers; similarly 23 and 29 are prime numbers.

Q9. 2 : 12 : 8 : ?

396
576
18
128

(b)2 --> 2²*3 = 12
8 --> 8²*9 = 576

Directions: A series is given in the following questions in which one term is omitted. Find the correct option from the given options which completes the series?
Q10. 2 : 8 : : 4 : ?

64
512
128
32

(a) 2 --> 2³ = 8 4 --> 4³ = 64