The alphabet ‘C’ in the abbreviation CRR stands for :
NICL Assistant Online Exam 2015 Question paper
For the following questions answer them individually
The Minister for ‘Food Processing Industries’ in the Union Cabinet is
Which of the following Indian Universities has a unique tradition of having the Incumbent Prime Minister as its Chancellor ?
Who amongst the following holds the majority stake in the share capital of the recently opened ‘Bhartiya Mahila Bank’ ?
The ‘Brabourne Stadium; which is India’s first permanent sporting venue is situated in
A representative of the insurance company licensed by the state who solicits, negotiates or effects contact of insurance and provides service to the policyholder for the insurer is known as
Approximately half of all anaemia cases worldwide are found to be caused due to
The ‘International Worker’s Day’ (also known as labour day) is observed every year on the
‘Lee Kuan Yew’ who recently died at the age of 91, was the founder and first Premier of
The’PMJDY’ launched by the Government of India is a massive
The largest producer of Cotton in the world is
Who amongst the following 138. has recently been named as the head of the task force set up by the Government of India to define poverty and prepare a road map to alleviate it ?
‘The Sun’ is a daily tabloid newspaper published in
An application for obtaining an insurance cover or for obtaining quotations of the premium chargeable is known as the
‘Dublin’ is the national capital of the
‘Playing It My Way’ is the autobiography of
Singapore’s Central Bank and Financial Regulatory Authority is known as
The Chutak Hydroelectric Plant is a run of theriver power project on the Suru River (a tributary of Indus) in
A life insurance policy wherein the policyholder receives a fixed amount at specific intervals throughout the duration of the policy is known as
The ‘Bandipur National Park’ established in 1974 as a tiger reserve under Project Tiger is located in the Indian state of
According to the recent data compiled by the World Steel Association (WSA), India is ranked as
The Insurance Regulatory and Development Authority of India (IRDA) is an autonomous apex
Who amongst the following is 149. the first Indian woman badminton player to achieve world number one ranking ?
At the 62nd National Film Awards, the award for the Best Feature Film has been given to the film
The minimum lock in period under the recently relaunched ‘Kisan Vikas Patra’ Scheme is
Aviva India is an Indian Life Insurance Company. It is a joint venture between Aviva plc., a British Insurance Company and the Indian conglomerate
‘Steve Smith’ is associated with the game of
Itanagar’ is the capital of the Indian state of
Kedarnath Main and Kedarnath Dome are two mountains in the Gangotri Group of peaks in the Indian state of
Which of the following organizations has recently been selected for the Gandhi Peace Prize 2014 ?
Science and Technology The person, corporation or trust named in the insurance policy as the recipient of insurance proceeds upon the death of the life insured is known as
Who amongst the following has recently been conferred the ‘Stockholm Water Prize 2015’ for his innovative water restoration efforts and extraordinary courage to empower communities in Indian villages ?
The ‘World Food Programme’ is the food assistance branch of the United Nations and is the world’s largest humanitarian organization addressing hunger and food security. It is headquartered in
Which of the following institutes presided over by the Union Minister of Agriculture is an autonomous body responsible for coordinating agricultural education and research in India ?
With the government notifying changes in the Public Provident Scheme (PPF), Investors can now deposit upto
An account can be opened under the recently launched ‘Sukanya Samridhi Yojana’ at any time from the birth of a girl child till she attains the age of
An unstimped document issued in advance by an insurance company pending the issue of the policy, which is normally required if the policy cannot for some reason or other be issued straight away is known as a
The official currency of Philippines is
The ‘NPS’ launched by the Government of India with effect from January 1, 2004 is a defined contribution
Who amongst the following was the Brand Ambassador for the 2015 ICC World Cup Tournament ?
Solution
ENGLISH LANGUAGE
Which one of the following would not be considered as a form of secondary storage ?
The Processor is an example of computer
A hexadecimal number is a number to the base
Java in computer programming is a ____.
Which of the following is not a binary number ?
What does the acronym WAN stand for ?
FTP is an acronym for ____.
Connections to the Internet using a phone line and a modem are called ______connections.
Documents converted to _____can be published to the web.
What is extension of Microsoft Word document ?
Outlook Express is a(n)
Printers and screens in computer system are common form of
LSI in chip technology stands for ____.
Ctrl + n in MS word is used to
Connections to other documents or to other locations within a website is known as
Checking whether a program functions correctly and then correcting errors, it is known as
Singleword reference to viruses, worms etc. is
Converting the computer language of is and 0’s to characters, that can be understood is known as
Storage that returns its data after the power is turned off is referred to as
A compiler in computing means
What is Windows Vista ?
Which of the following is not an operating system used in computer ?
“DTP” is a computer abbreviation usually means
Which of the following is equivalent roughly to 1 billion bytes ?
The ALU and Control unit, jointly is known as
The _____port resembles a standard phone jack.
The ALU performs ___operations.
A group of related records in a database is called a(n)
What is the generation of computers which are built with microprocessors ?
The digital telecommunication term ISDN is an abbreviation for
How to specify cell range from A10 to A 25 in MS Excel ?
If you change Windows 98 operating system to Windows XP, then it is known as
ALU and control unit of most of the computers are combined and are embedded on a single
QWERTY is used with reference to
Microsoft Word is an example of
File type in computing can be represented by
Which is a function key?
A ____computer is also referred to as a laptop computer.
_____Is the unauthorised copying and distribution of software.
Which of the following devices sends and receives data over telephone lines to and from computers ?
Solution
NUMERICAL APTITUDE
In 2004, the total monthly salary of A and B together was Rs, 18000. In 2005 monthly salary of A and B increased by 14% and 20% respectively from previous year. If after the given increment A’s salary became 76% of B’s salary. What was A’s salary in 2004 (that is before the mentioned increment of 2005) ?
Solution
Let A's salary in 2004 = $$Rs. 100x$$
=> B's salary in 2004 = $$Rs. (18,000 - 100x)$$
In 2005 monthly salary of A and B increased by 14% and 20% respectively.
=> A's salary in 2005 = $$100x + \frac{14}{100} \times 100x = 114x$$
B's salary in 2005 = $$(18,000 - 100x) + \frac{20}{100} \times (18,000 - 100x)$$
= $$(18,000 - 100x) + (3600 - 20x) = (21,600 - 120x)$$
Also, A’s salary became 76% of B’s salary.
=> $$114x = \frac{76}{100} \times (21,600 - 120x)$$
=> $$(21,600 - 120x) = 114x \times \frac{100}{76}$$
=> $$(21,600 - 120x) = 150x$$
=> $$150x + 120x = 270x = 21600$$
=> $$x = \frac{21600}{270} = 80$$
$$\therefore$$ A's salary in 2004 = $$100 \times 80 = Rs. 8,000$$
Refer to the table and answer the given questions.
Number of projects handled by 5 companies during 5 years
If the number of projects handled by company A increased by 25% from 2008 to 2009 and the number of projects handled by company E decreased by 35% from 2008 to 2009, what was the total number of projects handled by companies A and E together in 2009 ?
Solution
Number of projects handled by company A in 2008 = 180
=> Number of projects handled by company A in 2009 = $$180 + \frac{25}{100} \times 180$$
= $$225$$
Number of projects handled by company E in 2008 = 240
=> Number of projects handled by company E in 2009 = $$240 - \frac{35}{100} \times 240$$
= $$156$$
$$\therefore$$ Total number of projects handled by companies A and E together in 2009 = 225 + 156 = 381
Number of projects handled by company E increased by what percent from 2004 to 2006 ?
Solution
Number of projects handled by company E in 2004 = 140
Number of projects handled by company E in 2006 = 217
=> Required % increase = $$\frac{217 - 140}{140} \times 100$$
= $$11 \times 5 = 55 \%$$
All the given companies handled only two types of projects during all the given years governmental and nongovernmental. If the respective ratio between total number of governmental projects and nongovernmental projects handled by all the given companies together in 2007 is 13 : 8, total how many governmental projects were handled by all the given companies together in 2007 ?
Solution
Total number of projects handled by all the companies together in 2007
= 137 + 168 + 237 + 158 + 182 = 882
Ratio of governmental and non governmental projects handled in 2007 = 13 : 8
=> Number of governmental projects that were handled by all the given companies together in 2007
= $$\frac{13}{13 + 8} \times 882$$
= $$13 \times 42 = 546$$
What is the difference between average number of projects handled by company B in 2004 and 2005 together and average number of projects handled by company D in 2007 and 2008 together ?
Solution
Number of projects handled by company B in 2004 and 2005 together
= 168 + 274 = 442
=> Average = $$\frac{442}{2} = 221$$
Number of projects handled by company D in 2007 and 2008 together
= 158 + 198 = 356
=> Average = $$\frac{356}{2} = 178$$
$$\therefore$$ Required difference = 221 - 178 = 43
Out of the total number of projects handled by company C during all the given years together, 65% were governmental projects and the remaining were nongovernmental projects. What is the total number of nongovernmental projects handled by company C during all the given years together ?
Solution
Total number of projects handled by company C during all the given years together
= 129 + 176 + 181 + 237 + 157 = 880
% of non governmental projects = 100 - 65 = 35%
=> Number of non governmental projects handled by company C during all the given years together
= $$\frac{35}{100} \times 880 = 308$$
For the following questions answer them individually
When a ball is dropped from a certain height it rebounds to 3/4 the part after hitting the ground. If ball is dropped from a height of 32 metre, to what height will it go in its third rebound ?
Solution
If a ball is dropped from a certain height it rebounds to 3/4 the part after hitting the ground.
Original height = 32 metre
After 1st rebound, height attained by the ball = $$\frac{3}{4} \times 32 = 24$$ metre
Similarly, after 2nd rebound = $$\frac{3}{4} \times 24 = 18$$ metre
$$\therefore$$ After 3rd rebound, the ball will reach = $$\frac{3}{4} \times 18$$
= $$\frac{27}{2} = 13 \frac{1}{2}$$ metre
What will come in place of the question mark (?) in the following number series ?
6, 11, 31, 121, 601, ?
Solution
The pattern followed is :
6 $$\times 2 - 1$$ = 11
11 $$\times 3 - 2$$ = 31
31 $$\times 4 - 3$$ = 121
121 $$\times 5 - 4$$ = 601
601 $$\times 6 - 5$$ = 3601
8, 16, 64, 384, ?, 30720
Solution
Successive even numbers are multiplied.
8 $$\times 2$$ = 16
16 $$\times 4$$ = 64
64 $$\times 6$$ = 384
384 $$\times 8$$ = 3072
3072 $$\times 10$$ = 30720
101, 103, 109, 121, 141, ?
Solution
Numbers of the form $$n (n + 1)$$ are added, where n is natural number.
101 $$+ 1 \times 2$$ = 103
103 $$+ 2 \times 3$$ = 109
109 $$+ 3 \times 4$$ = 121
121 $$+ 4 \times 5$$ = 141
141 $$+ 5 \times 6$$ = 171
2, 14, 38, 86, ?, 374
Solution
Each number is multiplied by 2 and then 10 is added.
2 $$\times 2 + 10$$ = 14
14 $$\times 2 + 10$$ = 38
38 $$\times 2 + 10$$ = 86
86 $$\times 2 + 10$$ = 182
182 $$\times 2 + 10$$ = 374
10, 28, 63, 132, 269, ?
Solution
The pattern followed is :
10 $$\times 2 + 8$$ = 28
28 $$\times 2 + 7$$ = 63
63 $$\times 2 + 6$$ = 132
132 $$\times 2 + 5$$ = 269
269 $$\times 2 + 4$$ = 542
For the following questions answer them individually
An interest of Rs. 8384 is received when a certain sum is invested for 4 years in scheme A which offers simple interest at 8% per annum. When the same sum of money is invested for 6 years in scheme B which also offers simple interest at a certain rate, the amount received is Rs. 39562, what is the rate of interest offered by scheme B ?
Solution
Let principal amount in both schemes = $$Rs. P$$
In scheme A, time = 4 years and rate = 8% under simple interest.
=> $$S.I. = \frac{P \times R \times T}{100}$$
=> $$8384 = \frac{P \times 8 \times 4}{100}$$
=> $$P = \frac{8384 \times 100}{32} = Rs. 26,200$$
In scheme B, time = 6 years and amount received under simple interest = Rs. 39,562
Principal amount = Rs. 26,200
Interest = 39562 - 26200 = Rs. 13,362
Let rate of interest = $$r \%$$
=> $$S.I. = \frac{P \times R \times T}{100}$$
=> $$13362 = \frac{26200 \times r \times 6}{100}$$
=> $$r = \frac{13362}{262 \times 6} = \frac{51}{6}$$
=> $$r = 8.5 \%$$
A vessel was containing 80 litres of pure milk. 16 litres of pure milk was taken out and replaced with equal amount of water. 16 litres of newly formed mixture of water and milk was taken out and then 24 litres of water was added to the mixture. What is the respective ratio between the quantity of milk and water in the final mixture ?
Solution
Quantity of pure milk in the vessel = 80 litres
After 16 litres of milk is taken out, and replaced with water
=> Milk left = 80 - 16 = 64 litres
Water left = 16 litres
Now, if 16 litres of mixture is taken out, i.e. $$(\frac{1}{5})^{th}$$ of the mixture
=> Milk left = $$64 - \frac{1}{5} \times 64 = 51.2$$ litres
Water left = $$16 - \frac{1}{5} \times 16 = 12.8$$ litres
Now, 24 litres of water is added, quantity of milk will remain unaffected.
=> Milk = 51.2 litres
Water = 12.8 + 24 = 36.8 litres
$$\therefore$$ Ratio = 51.2 : 36.8 = 32 : 23
Pihu’s monthly income is Rs. 39500. She spends 9/20th of her monthly income on household expenditures and 24% of the monthly income on her children’s school fees. If 40% of the remaining monthly income she donates to NGO, what is the amount left with her in a month ? (If there is no other expenditure) ?
Solution
Pihu's monthly income = Rs. 39,500
Income spent on household expenditures = $$\frac{9}{20} \times 39500$$
= $$9 \times 1975 = Rs. 17,775$$
Amount spent on school fees = $$\frac{24}{100} \times 39500$$
= $$24 \times 395 = Rs. 9,480$$
Income left = 39500 - 17775 - 9480 = Rs. 12,245
Now, % amount donated to NGO = 40%
Thus, amount left = $$\frac{60}{100} \times 12245 = Rs. 7,347$$
A group of workers could complete a piece of work in 84 days. If there were 6 more workers, it would have taken 12 days less to finish the same piece of work. What was the actual strength of workers ?
Solution
Using : $$M_1 D_1 = M_2 D_2$$
Let $$x$$ men finish the work in 84 days
=> $$(x + 6)$$ workers finish the work in 72 days
=> $$M_1 = x , D_1 = 84$$ and $$D_2 = 72$$
=> $$x \times 84 = (x + 6) \times 72$$
=> $$x \times 7 = (x + 6) \times 6$$
=> $$7x = 6x + 36$$
=> $$7x - 6x = x = 36$$
A retailer bought 30 kg of rice at a discount of 20% on the marked price. Besides, he was given 8 kg of rice free of cost, by the wholesaler for purchasing a bulk quantity. If the retailer sold the entire quantity of rice at the marked price to his customers, what was his profit percent ?
Solution
Let marked price of 1 kg rice = $$Rs. 10$$
=> Marked price of 30 kg rice = $$30 \times 10 = Rs. 300$$
Discount % = 20%
Thus, cost price of retaailer = $$\frac{80}{100} \times 300 = Rs. 240$$
Additionally, he got 8 kg rice for free and he sells at original marked price.
Thus, selling price of 38 kg rice = $$38 \times 10 = Rs. 380$$
$$\therefore$$ Profit % = $$\frac{380 - 240}{240} \times 100$$
= $$\frac{175}{3} = 58\frac{1}{3}\%$$
x is greater than y by 12 and the respective ratio, between x and y is 3 : 2. What is the sum of a third number z and x, if z is 1/3 of y ?
Solution
x is greater than y by 12 and the respective ratio, between x and y is 3 : 2
=> $$x - y = 12$$ => $$x = 12 + y$$
Also, $$\frac{x}{y} = \frac{3}{2}$$
=> $$\frac{12 + y}{y} = \frac{3}{2}$$
=> $$24 + 2y = 3y$$
=> $$3y - 2y = y = 24$$
=> $$x = 12 + 24 = 36$$
Now, $$z = \frac{1}{3} \times y$$
=> $$z = \frac{1}{3} \times 24 = 8$$
$$\therefore z + x = 8 + 36 = 44$$
Out of Rs. 8000, Gopal invested a certain sum in scheme A and the remaining sum in scheme B for two years. Both the schemes offer compound interest (compunded annually). The rate of interest of scheme A and B are 10 p.c.p.a. and 20 p.c.p.a. respectively. If the total amount accrued by him after two years from both the schemes together was Rs. 10,600, what was the amount invested in scheme B ?
Solution
Let the amount invested in scheme B = $$Rs. x$$
=> Amount invested in scheme A = $$Rs. (8,000 - x)$$
The rate of interest of scheme A and B are 10 p.c.p.a. and 20 p.c.p.a. respectively
Also, amount under C.I. = $$P (1 + \frac{R}{100})^T$$
=> $$[x (1 + \frac{10}{100})^2] + [(8000 - x) (1 + \frac{20}{100})^2] = 10,600$$
=> $$x (\frac{11}{10})^2 + (8000 - x) (\frac{6}{5})^2 = 10600$$
=> $$\frac{121 x}{100} + 11520 - \frac{36 x}{25} = 10600$$
=> $$\frac{23 x}{100} = 11520 - 10600 = 920$$
=> $$x = 920 \times \frac{100}{23} = 40 \times 100$$
=> $$x = Rs. 4,000$$
The respective ratio of Avinash’s present age and Shashi’s present age is 9 : 5. Avinash is 54 years old at present, how many years ago was the respective ratio of their ages 7 : 3 ?
Solution
Avinash's present age = $$54$$ years
=> Shashi's present age = $$\frac{5}{9} \times 54 = 30$$ years
Let $$x$$ years ago, respective ratio of their ages = $$7 : 3$$
=> $$\frac{54 - x}{30 - x} = \frac{7}{3}$$
=> $$162 - 3x = 210 - 7x$$
=> $$4x = 210 - 62 = 48$$
=> $$x = \frac{48}{4} = 12$$ years
A car travels from city A to city B at an average speed of 60 km/ hr and reaches city B on time. If the car reduces its speed to 50 km/hr, it takes 16 minutes more to reach city B. What is the distance between city A and city B ? (In kilometre)
Solution
Let time taken by the car to reach city B by travelling at 60 km/hr = $$t$$ hrs
=> Time taken to reach city B by travelling at 50 km/hr = $$(t + \frac{16}{60})$$ hrs
$$\because spped \propto \frac{1}{time}$$
=> $$\frac{s_1}{s_2} = \frac{t_2}{t_1}$$
=> $$\frac{60}{50} = \frac{t + \frac{16}{60}}{t}$$
=> $$6t = 5t + \frac{16}{12}$$
=> $$6t - 5t = t = \frac{4}{3}$$ hrs
$$\therefore$$ Distance between city A & B = speed $$\times$$ time
= $$60 \times \frac{4}{3} = 80$$ km
The diameter of a circle is equal to the diagonal of a square whose area is 784 m 2 . What is the area of the circle ? (In m 2 )
Solution
Let side of square = $$a$$ m
=> Area of square = $$a^2 = 784$$
=> $$a = \sqrt{784} = 28$$ m
=> Diagonal of square = $$\sqrt{28^2 + 28^2} = 28 \sqrt{2}$$ m = Diameter of circle
=> Radius of circle = $$\frac{28 \sqrt{2}}{2} = 14 \sqrt{2}$$ m
$$\therefore$$ Area of circle = $$\pi r^2$$
= $$\frac{22}{7} (14 \sqrt{2})^2 = 22 \times 28 \times 2$$
= $$1232 m^2$$
The price of 8 books and 24 registers is Rs. 1760. If the price of one book is Rs. 124 more than the price of one register, what is the total price of 4 books and 2 registers ? (In Rs.)
Solution
Let price of 1 register = $$Rs. x$$
=> Price of book = $$Rs. (x + 124)$$
Acc. to ques, => $$8 (x + 124) + 24x = 1760$$
=> $$8x + 992 + 24x = 1760$$
=> $$32x = 1760 - 992 = 768$$
=> $$x = \frac{768}{32} = 24$$
Thus, price of book = $$24 + 124 = 148$$
$$\therefore$$ Total price of 4 books and 2 registers
= $$(4 \times 148) + (2 \times 24)$$
= $$592 + 48 = Rs. 640$$
What will come in place of the question mark (?) in the given questions ?
$$\frac{1.12 \times 2.24 - 0.78 \times 1.56}{4 \times (1.12 - 0.78)} = ?$$
Solution
Expression : $$\frac{1.12 \times 2.24 - 0.78 \times 1.56}{4 \times (1.12 - 0.78)} = ?$$
= $$\frac{2 (1.12)^2 - 2 (0.78)^2}{4 (1.12 - 0.78)}$$
= $$\frac{2 (1.12 - 0.78) (1.12 + 0.78)}{4 (1.12 - 0.78)}$$ [Using, $$a^2 - b^2 = (a - b) (a + b)$$]
= $$\frac{1.12 + 0.78}{2}$$
= $$\frac{1.9}{2} = 0.95$$
$$29^{2} - 435 + ?= 1652 \times 0.5$$
Solution
Expression : $$29^{2} - 435 + ?= 1652 \times 0.5$$
=> $$841 - 435 + x = 826$$
=> $$x = 826 - 406$$
=> $$x = 420$$
$$10 (1024.8 + 24.6 - 4.2) = ?^{2} + 48$$
Solution
Expression : $$10 (1024.8 + 24.6 - 4.2) = ?^{2} + 48$$
=> $$10 \times 1045.2 = (x)^2 + 48$$
=> $$(x)^2 = 10452 - 48 = 10404$$
=> $$x = \sqrt{10404} = 102$$
$$(\frac{1\frac{7}{60}}{1\frac{27}{40}})\times(1\frac{29}{34})\times? = 231$$
Solution
Expression : $$(\frac{1\frac{7}{60}}{1\frac{27}{40}})\times(1\frac{29}{34})\times? = 231$$
=> $$\frac{\frac{67}{60}}{\frac{67}{40}} \times (\frac{63}{34}) \times x = 231$$
=> $$\frac{40}{60} \times (\frac{63}{34}) \times x = 231$$
=> $$\frac{2}{3} \times (\frac{63}{34}) \times x = 231$$
=> $$\frac{21}{17} \times x = 231$$
=> $$x = 231 \times \frac{17}{21}$$
=> $$x = 11 \times 17 = 187$$
(0.6 + 0.4 + 10) (0.8 - 0.4 + 10) = ?
Solution
Expression : (0.6 + 0.4 + 10) (0.8 - 0.4 + 10) = ?
= $$11 \times 10.4$$
= $$114.4$$
$$23\% of 256-\frac{\sqrt{(529)}}{12}=?$$
$$(\frac{42.25}{0.5}+\frac{16.2}{0.2})\times?=1986$$
Solution
Expression : $$(\frac{42.25}{0.5}+\frac{16.2}{0.2})\times?=1986$$
=> $$(84.5 + 81) \times x = 1986$$
=> $$165.5 \times x = 1986$$
=> $$x = \frac{1986}{165.5} = 12$$
$$(0.8)^{2.5}\times\frac{(0.8)^{1.5}}{(0.8)^{0.5}}=(0.2)^{3.5}\times2^{?}$$
Solution
Expression : $$(0.8)^{2.5}\times\frac{(0.8)^{1.5}}{(0.8)^{0.5}}=(0.2)^{3.5}\times2^{?}$$
=> $$(0.8)^{2.5 + 1.5 - 0.5} = (0.2)^{3.5} \times 2^{x}$$
=> $$(0.8)^{3.5} = (0.2)^{3.5} \times 2^{x}$$
=> $$2^x = \frac{(0.8)^{3.5}}{(0.2)^{3.5}}$$
=> $$2^x = (4)^{3.5} = 2^7$$
=> $$x = 7$$
6242.52 - 242.2 - ? = 5974.12
Solution
Expression : 6242.52 - 242.2 - ? = 5974.12
=> 6000.32 - x = 5974.12
=> x = 6000.32 - 5974.12 = 26.2
$$\frac{125^{2}\times\sqrt{(15)}\times5^{3}}{\sqrt{(375)}}=5^{11-?}$$
Solution
Expression : $$\frac{125^{2}\times\sqrt{(15)}\times5^{3}}{\sqrt{(375)}}=5^{11-?}$$
=> $$\frac{(5)^6 \times \sqrt{15} \times (5)^3}{5 \sqrt{15}} = 5^{11-?}$$
=> $$5^{6 + 3 - 1} = 5^{11-?}$$
=> $$11 - x = 8$$
=> $$x = 11 - 8 = 3$$
$$\frac{\frac{126}{14}\times?-7\times3}{8^{2}-7\times6+20}=1$$
Solution
Expression : $$\frac{\frac{126}{14}\times?-7\times3}{8^{2}-7\times6+20}=1$$
=> $$\frac{9x - 21}{64 - 42 + 20} = 1$$
=> $$9x - 21 = 42$$
=> $$9x = 42 + 21 = 63$$
=> $$x = \frac{63}{9} = 7$$
$$34 \times 80 + ?^{2} = 7500 - 4251$$
Solution
Expression : $$34 \times 80 + ?^{2} = 7500 - 4251$$
=> $$2720 + (x)^2 = 3249$$
=> $$(x)^2 = 3249 - 2720 = 529$$
=> $$x = \sqrt{529} = 23$$
$$42\times4-\sqrt{(625)}-132=\frac{143}{?}$$
Solution
Expression : $$42\times4-\sqrt{(625)}-132=\frac{143}{?}$$
=> $$168 - 25 - 132 = \frac{143}{x}$$
=> $$168 - 157 = \frac{143}{x}$$
=> $$x = \frac{143}{11} = 13$$
$$(2\frac{2}{5}+3\frac{1}{4}-2\frac{7}{8})\times?=222$$
Solution
Expression : $$(2\frac{2}{5}+3\frac{1}{4}-2\frac{7}{8})\times?=222$$
=> $$[(2 + 3 - 2) + (\frac{2}{5} + \frac{1}{4} - \frac{7}{8}) \times x] = 222$$
=> $$(3 + \frac{2}{5} - \frac{5}{8}) \times x = 222$$
=> $$(3 - \frac{9}{40}) \times x = 222$$
=> $$\frac{111}{40} x = 222$$
=> $$x = 222 \times \frac{40}{111}$$
=> $$x = 2 \times 40 = 80$$
$$\sqrt{(576)}+\sqrt{(1764)}=\sqrt{(?)}$$
Solution
Expression : $$\sqrt{(576)}+\sqrt{(1764)}=\sqrt{(?)}$$
=> $$\sqrt{x} = 24 + 42 = 66$$
=> $$x = (66)^2 = 4356$$
For the following questions answer them individually
A and B started a business together and the respective ratio between the investments of A and B was 5 : 9. After 4 months from the start of business, C joined and the respective ratio between the investments of B and C was 3 : 7. If the annual profit earned by them was Rs. 7,084, what is C’s share in the profit ? (In Rs.)
Solution
Let amount invested by A = $$5x$$ years
=> Amount invested by B = $$9x$$ years
=> Amount invested by C = $$21x$$ years
Thus, ratio of shares A,B and C :
= $$(5x \times 12) : (9x \times 12) : (21x \times 8)$$
= $$5 : 9 : 14$$
Total profit = Rs. 7,084
$$\therefore$$ C's share = $$\frac{14}{5 + 9 + 14} \times 7084$$
= $$14 \times 253 = Rs. 3,542$$
The length and breadth of a rectangular lawn are 36m and 20m respectively. It has two roads, each 3m wide and one parallel to the length and the other parallel to the breadth. What is the cost of gravelling the two roads at the rate of Rs. 3 per sq. metre ?
Solution
REASONING
In each question below a sentence with four words printed in bold type is given. These are numbered as a:, b:, c: and d:. One of these four words printed in bold may be either misspelt or inappropriate in the context of the sentence. Find out the word which is wrongly spelt or inappropriate if any. The number of that word is your answer. If all the words printed in bold are correctly spelt and also appropriate in the context of the sentence, mark e:, i.e., ‘All correct’ as your answer.
The guessed took undue advantage of our hospitality and refused to leave.
As days passed by, the health of the old man gradually weakened.
On seeing the ripe fruit kept in the bowl he could not resist the urge to take a byte out of it.
He vondered how the lizard had managed to survive behind the wall for so many years.
It was a crowded flight and one of its passengers was a beautiful lay who had bordered with a lot of luggage.
Rearrange the following five sentences (A), (B). (C), (D) and E in the proper sequence to make a meaningful paragraph and then answer the questions which follow :
(A) It was always breaking its string, sitting down on the tops of houses, getting stuck in trees and refusing to rise higher than a yard from the ground.
(B) As a result, they were obliged to fly day and night for a living and were never able to give any time to their children or to bring them up properly.
(C) Perhaps, they were very poor people, just made of newspaper and little bits of common string knotted together.
(D) I have often sat and thought about this behavior of the kite and wondered who its father and mother are.
(E) It was the most tiresome kite in the world.
Which of the following should be the FOURTH sentence after rearrangement ?
Which of the following should be the SECOND sentence after rearrangement ?
Which of the following should be the last (FIFTH) sentence after rearrangement ?
Which of the following should be the THIRD sentence after rearrangement ?
Which of the following should be the FIRST sentence after rearrangement ?
Read the following passage carefully and answer the given questions. Certain words are given in bold to help you to locate them while answering some of the questions.
King Harish loved his people and look after the affairs of the kingdom well. One day he and his minister Chandan took a stroll through the market. People were buying and selling and there were no beggars to be seen anywhere. The King was delighted to see the prosperity of his kingdom. He turned to Chandan and said, ‘I want to check firsthand how content my people are. Summon people from all walks of life to court.” The next day, ‘the king arrived at court and said, As your king I want to know if all of you are happy. Do you have enough for your needs?” The citizens looked at each other, thought and one by one came forward to say that their kitchens have enough food, their trade was going well, their wells were overflowing and the king had kept them safe. The king was pleased at this but Chandan had a frown and he whispered something to the king. The king was astonished but seeing Chandan was serious he turned to the court and made an announcement, “I am delighted you are all happy. Tomorrow I want all the happy people to gather at the gate of the royal garden. You have to enter the garden from the main gate, walk across and meet me by the gate at the rear of the garden. Each of you will be given a sack and you can pick whatever your heart desires.” The crowd was excited as no one was usually allowed access to the king’s garden which was said to be filled with all kinds of beautiful and strange plants.
The next day, everyone gathered at the gate of the palace garden well before time. At the appointed time the guards opened the gates and handed out sacks. Citizens began roaming around the garden and filled their sacks with the juicy apples, pomegranates, grapes and mangoes hanging from trees. But as they walked further into the garden they saw trees laden with gold and silver fruits. They began madly filling their sacks with these precious fruits. Everyone forgot that they had enough for their needs at home and the fruits they had picked earlier were thrown on the ground forgotten and left to rot. Then with their sacks filled to the top the citizens made their way to the rear gate but they found a rushing stream blocking their path. The current was strong and as there were no boats, the only way to cross was to swim across. But how could they swim with laden sacks. All stood by the stream except one young man who simply abandoned his sack and swam across. Angry and unhappy the others refused to cross. The king was sad and said, “Yesterday all of you said you were happy but today you are distressed. ”Turning to the young man who was smiling he asked, ‘Tell me why are you not sad?” “Sire, I picked some tasty fruits for my precious daughter but when I saw no other way across, I did not think twice about leaving these behind. I am happy you let us wander around in your garden.”
Choose the word which is most nearly the opposite in meaning to the word SERIOUS given in bold as used in the passage.
What was Chandan’s reaction to the people’s claim that they were happy ?
Choose the word which is most nearly the same in meaning to the word WELL given in bold as used in the passage.
Why were people happy to hear they could spend a day in the palace garden?
Which of the following can be said about the young man?
(A) He cared for his daughter.
(B) He was happy with his lot in life.
(C) He insulted and made a fool of the king.
Which of the following is TRUE in the context of the passage?
Choose the word which is most nearly the same in meaning to the word MADLY given in bold as used in the passage.
Choose the word which is most nearly the opposite in meaning to the word STRANGE given in bold as used in the passage.
Why did people throw away the bags of fresh fruit they had picked ?
Which of the following can be the lesson of the story ?
Each question below has a blank, indicating that something has been omitted in the blank. Choose the word for each blank which best fits the meaning of the sentence as a whole.
We don’t want to make your journey ____by making you sit next to someone with whom you aren’t comfortable.
All the children were______ as the school had announced an unexpected holiday,
Since Momo’s hunger could not be satisfied, he_____ to eat, everything around.
The boy felt ___after a long day’s work.
One day _____serving dinner, the old man whose hands and legs shivered, split food on the table.
Read each sentence to find out whether there is any grammatical error or idiomatic error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is e:. (Ignore errors of punctuation, if any)
A fox watched a (a)/ wild boar was sharpened (b)/ his tusks on the (c)/ trunk of a huge tree. (d) / No error (e)
A fisherman had (a)/ been fishing for (b)/ a long time but (c)/ without luckily. (d)/ No error (e)
The lazy grasshopper laughed (a)/ at the little aunt (b)/ as she was (c)/ busy gathering food. (d)/ No error (e)
In the olden days, the camel (a)/ was considered (b)/ the much handsome animals (c)/ in the jungle. (d)/ No error (e)
The Oak tree always (a0/ thought that it was (b)/ much stronger than (c)/ any other trees in the garden. (d)/ No error (e)
In the following passage there are blanks, each of which has been numbered. These numbers are printed below the passage and against each, five words are suggested, one of which fits the blank appropriately. Find out the appropriate word in each case. Once the Wind and the Sun were quarrelling (1) a petty issue. Both of them (2) to be stronger (3) the other. At last they agreed to have a trial of strength. “Here comes a traveller. Let us see who can strip him of his cloak,” said the Sun. The Wind agreed and (3) to take the first turn. He blew in the hardest possible way. As a (5) the traveller wrapped his cloak even more (6) around him. Then came the Sun, at first he shone very (7) so, the traveller loosened his cloak from his neck. But then he went on shining brighter and brighter. The traveller started (8) hot. Soon he took off his cloak and put it in his bag. The wind had to (9) his (10).
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
In each of the following questions, two statements followed by two conclusions numbered I and II have given. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically from the given statements disregarding commonly known facts.
Give answer a: if only Conclusion I follows
Give answer b: if neither Conclusion I nor Conclusion II follows
Give answer c: if both the Conclusion I and Conclusion II follow
Give answer d: if only Conclusion II follows
Give answer e: if either Conclusion I or Conclusion II follows
Statements :
Some jars are bowls.
Some spoons are jars.
Conclusions :
I. No bowl is a spoon.
II. Some jars are definitely not bowls.
Statements :
Some paints are brushes.
No brush is a canvas.
Conclusions:
I. No paint is a canvas.
II. All brushes being paints is a possibility.
Statements :
All roots are flowers.
No root is a thorn.
Conclusions :
I. No thorn is a flower.
II. Some flowers are thorns.
Statements :
All watches are clocks.
Some watches are towers.
Conclusions :
I. Atleast some clocks are towers.
II. Some towers are definitely not clocks.
Statements :
All buses are trucks.
All cars are trucks.
Conclusions :
I. All cars are trucks.
II. Some buses are cars.
Study the following arrangement carefully and answer the questions given below :
R # T U 3 D $ J @ B E 9 © W 1 A F % P 2 4 Q I N 6 M * Z 5
If all the numbers in the above arrangement are dropped, which of the following will be ninth from the right end ?
Which of the following will be the sixth to the left of the fourteenth from the left end of the above arrangement ?
Which of the following is the fifth to the right of the thirteenth to the left of 9 in the given arrangement ?
How many such vowels are there in the above arrangement, each of which is immediately preceded by a consonant and immediately followed by a number ?
Four of the following five are alike in a certain way based on their positions in the above arrangement and thus form a group. Which is the one that does not belong to that group ?
In each of the following questions, relationship between different elements is shown in the statements. The statements are followed by two conclusions numbered I and II. Study the conclusions based on the statement and select the appropriate answer.
Give answer a: if only Conclusion I is true
Give answer b: if neither Conclusion I nor Conclusion II is true
Give answer c: if both the Conclusion I and Conclusion II are true
Give answer d: if only Conclusion II is true
Give answer e: if either Conclusion I or Conclusion II is true
Statements :
S≤T=E≤P=N≤G
Conclusions :
I. G > S
II. G = S
Statements :
B>R≥A=N
I. B > N
II. S ≥ A
Statements :
T≥I
I. R > T
II. S > I
Statements :
U>B≥M≤G;L
Conclusions :
I. U > L
II. G ≤ L
Statements :
PS≥E
Conclusions :
I. P ≤ I
II. E ≤ A
Study the following information carefully and answer the questions given below :
Eight persons A, B, C, D, E, F, G and H are sitting around a circular table with equal distances between each other, facing the centre, but not necessarily in the same order.
D sits third to the right of E. A sits second to the right of D.
H sits to the immediate left of C.
F sits second to the left of H.
G is an immediate neighbour of E.
Which of the following statements is true with respect to B as per the given arrangement ?
Who amongst the following represents the immediate neighbours of D ?
Four of the following five are alike in a certain way as per the given arrangement and thus form a group. Which of the following does not belong to that group ?
If all the persons are made to sit in alphabetical order in anti clockwise direction, starting from A, the positions of how many, excluding A, would remain unchanged ?
Who amongst the following sits third to the left of C ?
Study the following information carefully and answer the questions given below :
In a certain code language : “sudden change is visible”is written as “bo st tz rk”
“visible change in approach” is written as “xu tz yi bo”
“change is good also” is written as ‘cd rk bo en”
“want good approach now” is written as “pm qs yi cd”
(All the codes are twoletter codes only)
What is the code for “sudden” in the given code language ?
Which of the following may respresent code for Visible in general’ in the given code language ?
Which of the following represents the code for ‘approach is’ in the given code language ?
What does the code ‘qs’ stand for in given code language ?
What is the code for “good” in the given code language ?
Study the following information carefully and answer the questions given below :
Eight persons A, B, C. D, E, F, G and H live on eight different floors of a building not necessarliy in the same order. The lowermost floor of the building is numbered 1, the one above that is numbered 2 and so on till the topmost floor is numbered 8. A lives on one of the floors above D. Only four persons live between A and D. E lives immediately above D’s floor. H lives on an odd numbered floor below E. Only three persons live between H and G. C lives immediately below B’s floor.
Four of the following five are alike in a certain way based on the given arrangement and hence form a group. Which of the following does not belong to that group ?
Which of the following statements is TRUE as per the given arrangement ?
D lives on which of the following floor numbers ?
Who amongst the following lives on floor number 2 ?
Who amongst the following lives immediately above E’s floor ?
For the following questions answer them individually
How many such pairs of letters are there in the word OVER SEE’ each of which has as many letters between them in the word (in both forward and backward directions) as they have between them in the English alphabetical series ?
Among five persons J, K, L, M and N (Each running at a different speed) who ran at the third fastest speed ? M ran faster than L. but slower than K. J ran slower than only person. 1, did not run at the slowest speed.
T is married to N. R is the sister of N. P is the father of R. J is married to P. How is T related to J ?
Study the following information carefully and answer the questions given below :
Point C is 12m to the west of point D. Point F is 8m to the north of point D. Point Y is 5m to the east of point F. Point Y is 14m to the north of point N. Point N is 5m to the east of point S.
Towards which direction is Point C with respect to Point N?
Which of the following points is/are exactly 6m away from point S ?
The following questions are based on the five words given below :
URN DEN MAT FOR SKI
(The new words formed after performing the mentioned operations may or may not necessarily be meaningful words).
If the positions of the first and the second alphabet in each word is interchanged, which of the following will form a meaningful English word ?
If the given words are arranged in the order as they would appear in dictionary from left to right, which of the following will be second from the right end ?
If in each of the given words, each of the consonants is changed to previous letter and each vowel is changed to next letter in the English alphabetical series, in how many words thus formed will an alphabet appear twice ?
How many letters are there in the English alphabetical series between the first letter of the word which is second from the right and first letter of the word which is second from the left of the given words ?
If the second alphabet in each of the words is changed to next alphabet in the English alphabetical order, how many words will be formed in which two or more vowels appear (same or different vowels) ?
