Who became the first Indian Woman Cricketer to score a century in Twenty 20(T20)
Internationals?
RPF 10 Jan 2019
For the following questions answer them individually
What is the currency name of Switzerland?
The term 'Corner kick' is used in the game:
The term of the office of President is
What is the IUPAC name of Acetic Acid?
Which state of India has the largest number of seats in legislative assembly?
Who is the author of book 'Jiban Smriti'?
Who is the Chairman of 13th Finance Commission?
Maand is a folk music style of
In which of the following oceans Japan Trench is located?
In which of the following countries Padma river is flowing?
Wave theory of light was proposed by
What is the Ionization Constant of Nitrous Acid ($$HNO_2$$)?
What does the Pineal gland secrete?
What is the minimum age limit to become a member of Rajya Sabha?
The dead organic content of the soil is called _______________
The Lower House of the Indian Parliament is known as
The Union Territories of India are administered by the
In which of the following States Tarapur Nuclear Power Plant is located?
Where is the headquarters of "Food Safety and Standards Authority of India (FSSAI)" located?
Who is the author of the book 'Unbreakable: An Autobiography'?
When Ocean currents flow from high to low altitudes are called _______________ currents.
Who among the following players is not associated with the sport Football?
The painting of Padmapani Bodhisattva is found in
Which is the capital of Jharkhand?
___________ transports food materials, usually from leaves to other parts of the plant.
Disaster Management Bill/Act was passed in
The Chief Justice of a High Court in India is appointed by
In cultural history, Nagara in North and Dravida in South are related to
The term 'Butterfly stroke' is used in the game:
Which is the capital of Morocco?
Which of the following countries is not sharing the border with India?
What is the nickname of Andre Agassi?
When was the first general election to the Lok Sabha held?
Where was the first session of Indian National Congress held?
The two main systems of Indigo cultivation in Bengal were Nij and ______
Who headed the Interim cabinet formed in the year 1946?
In which of the following places the Gadkari rebellion was held?
In SI system, the multiple $$10^{-21}$$ is the prefix of
How many members can be nominated to Lok Sabha by the President of India?
Conducting elections to the state legislative assemblies is the responsibility of
Liberalised Exchange Rate Management system (LERMS) was abolished in ____________
What is the distance between the Sun and the Planet Jupiter?
What is the expansion of "CRR"?
What is the atomic number of the element Indium?
The statue of Lord Gommateshwara is found in
Who was the leader of Eka movement?
What is the formula for Acceleration?
When was the 'Calcutta Cricket and Football Club (CC&FC)' founded?
Who discovered Ribosomes in cell biology?
Read the following statements and answer the following question.
A@B means A is the mother of B
A#B means A is the father of B
A$B means A is the brother of B
A%B means A is the sister of B
In the equation S$R#Q@P, how is S related to P?
In this question, a statement is given followed by two conclusions numbered i and ii. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
Statement: John, a German philosopher, is a good Mathematician.
Conclusion:
i. John is a German.
ii. All German philosophers are Mathematicians.
Choose the appropriate one from the following options
(A) Only conclusion i follows
(B) Only conclusion ii follows
(C) Either i or ii follows
(D) Neither i nor ii follows and
(E) Both i and ii follow.
A is the brother of B who is the brother of C. D is the daughter of A. How is D related to C?
Solution
The relation between A, B , C and D can be represented by the following diagram.
So, the answer would be option d)Niece
How many squares are there in the given figure?
Solution
There are two concentric squares , highlighted with blue and green boundaries. Keeping these boundaries , 4 more squares are there. and lastly there are 2 highlighted in red.
So, the answer would be option d)12
In this question, relationship between different elements is shown in the statement. This statement is followed by two conclusions:
Statements: M ≤ N < O ≥ P < Q
Conclusions:
I. O > M
II. M ≥ O
Choose the appropriate one from the following options
(A) Only conclusion i follows
(B) Only conclusion ii follows
(C) Either i or ii follows
(D) Neither i nor ii follows and
(E) Both i and ii follow.
Find the next number in the series.
78, 85, 100, 123, 154, ?
Solution
Given series is 78, 85, 100, 123, 154, ?
Difference of terms is 8,15,23,31,... Here next term would be 39.
Adding it to 154, we get 193 which would be next number in given series.
Replace the question mark with an option that follows the same logic applied in the first pair
Gander:Goose::Dog: ??
Solution
Gander is masculine Gender whereas it's feminine Gender would be Goose.
Similarly, Feminine Gender of Dog will be Bitch. Hence, Option A is right choice.
In a certain code language, if CAPTION is coded as SDFWQRL, then how is DECLINE coded in that language?
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
Indian agriculture has marked its presence at the global level. India is world’s largest producer of milk, pulses and second largest producer of rice, wheat, fruits, vegetables, sugarcane. India’s food grain production crossed 250 million tonnes during the year 2011-12. Rice production crossed 100 million tonnes and wheat production crossed 90 million tonnes.
As of 2011, India’s arable land area of 159.7 million hectares (394.6 million acres) is the second largest in the world, after the United States. Its gross irrigated crop area of 82.6 million hectares (215.6 million acres) is the largest in the world.
Statement: In 2020, wheat production in the US will cross 250 million tonnes.
Choose the appropriate one from the following options
A -The statement is definitely true.
B -The statement is probably true.
C -The statement is cannot be determined.
D -The statement is definitely false.
Which one of the alternative will be the next figure from the given alternatives for the given series?
Read the given information carefully and answer the questions that follow.
Eight friends A, B, C, D, E, F, G and H are sitting in a circle facing centre, but not necessarily in the same order.
i. A is sitting third to the right of F who is sitting second to the left of D
ii. C and H are sitting opposite to each other
iii. Neither F nor C is the neighbour of B
iv. B is not sitting between H and A
v. G sits opposite to A
How many people are sitting between G and E from the given options?
Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
Kiwi, Pigeon, Dove, Eagle, Fox
Solution
In the given group , Kiwi, Pigeon, Dove, Eagle, Fox
All are birds except Fox. Therefore, Option D is right choice.
Find the next number in the series.
93, 96, 91, 98, 87, ?
How many straight lines are there in the given figure?
Choose the correct alternative which will complete the image pattern of the given image.
Solution
So, the answer would be option b.
In this question, three statements are given followed by four conclusions. You have to assume everything in the statement to be true, then consider the given conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statements.
Statements: Some kids are students. Some students are captains. All captains are pupils.
Conclusions:
1. Some pupils are students
2. Some captains are kids
3. No captain is kid
4. Some students are kids
Solution
The relation between kids , students , captains and pupils can be represented by the either of the diagrams.
So, the answer would be option c)Only 1, 4 and either 2 or 3
Read the given information carefully and answer the questions that follow.
Eight friends A, B, C, D, E, F, G and H are sitting in a circle facing centre, but not necessarily in the same order.
i. A is sitting third to the right of F who is sitting second to the left of D
ii. C and H are sitting opposite to each other
iii. Neither F nor C is the neighbour of B
iv. B is not sitting between H and A
v. G sits opposite to A
Which of the following has the pair with the second person sitting opposite to the first person?
Identify the water image of the given image from the following options.
Solution
In water , object is inverted completely.
So, the answer would be option a)
Replace the question mark with an option that follows the same logic applied in the first pair
Duck: Quack:: Snake: ??
Solution
Sound made by Duck is called Quack whereas Sound made by Snake is called Hiss. Hence, Option C is right choice.
In a certain code language, if QUALITY is coded as JFZORGB, then how is PLACID coded in that language?
How many Right angled triangles can be formed from the given figure?
Solution
All the right angled triangles are highlighted .
So, the answer would be option a)8.
Read the given information carefully and answer the questions that follow.
Eight friends A, B, C, D, E, F, G and H are sitting in a circle facing centre, but not necessarily in the same order.
i. A is sitting third to the right of F who is sitting second to the left of D
ii. C and H are sitting opposite to each other
iii. Neither F nor C is the neighbour of B
iv. B is not sitting between H and A
v. G sits opposite to A
If E interchanges its position with B, C interchanges its position with G and A interchanges its position with F, then who is sitting third to the right of C?
Find the next number in the series.
487, 488, 492, 501, 517, ?
Solution
487, 488, 492, 501, 517, ?
In the above series, from difference of terms, we can see another series 1,4,9,16,.. which are perfect squares of natural numbers. Next term would be 25.
Therefore, next term in given series would be 517+25=542
In this question, four statements showing relationship have been given, which are followed by three conclusions i, ii and iii. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
Statements: A ≥ B, C > B, D < C, E = D
Conclusions:
i) B > D
ii) B < A
iii) C > E
Replace the question mark with an option that follows the same logic applied in the first pair
4956:24::1149: ??
Solution
From the question 4956:24::1149: ??
We can observe that sum of all digits in number 4956 is 24. Similarly, Sum of all digits in number 1149 will be 15. Hence, Option D is right choice.
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
Indian agriculture has marked its presence at the global level. India is world’s largest producer of milk, pulses and second largest producer of rice, wheat, fruits, vegetables, sugarcane. India’s food grain production crossed 250 million tonnes during the year 2011-12. Rice production crossed 100 million tonnes and wheat production crossed 90 million tonnes.
As of 2011,India’s arable land area of 159.7 million hectares (394.6 million acres) is the second largest in the world, after the United States. Its gross irrigated crop area of 82.6 million hectares (215.6 million acres) is the largest in the world.
Statement: India is the second largest producer of rice in the world.
Choose the appropriate one from the following options
A -The statement is definitely true.
B -The statement is probably true.
C -The statement is cannot be determined.
D -The statement is definitely false.
Solution
Although India's agricultural produce has increased substantially , we can not determine its position in world ranking for rice production.
So, the answer would be option d)A
Replace the question mark with an option that follows the same logic applied in the first pair
NT:SY::CU: ??
If a mirror is placed on the shaded line, then which of the following options is the right image of the given figure?
Solution
In mirror image , left most item appears right , and right most appears on left.
So, the answer would be option b).
Find the next number in the series.
38, 40, 83, 253, 1017, ?
In this question, two statements are given followed by two conclusions numbered i and ii. You have to assume everything in the statements to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statements.
Statements: All rings are tiaras. All tiaras are linens.
Conclusions:
i. All rings are linens.
ii. Some linens are rings.
Choose the appropriate one from the following options
(A) Only conclusion i follows
(B) Only conclusion ii follows
(C) Either i or ii follows
(D) Neither i nor ii follows and
(E) Both i and ii follow.
Solution
The relation between rings , tiaras and linens can be represented by the following diagram.
Both the conclusions follow.So, the answer would be option b)E
Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
BEH, MPS, JLP, QTW, DGJ
Solution
In given series BEH, MPS, JLP, QTW, DGJ
We can observe that the pattern followed is, In each term, First letter and second letter have two letters between them in alphabetical order & second and third letters have two letters between them. This pattern is observed in all terms except JLP. Hence, JLP doesn't belong to group.
Pointing to a lady, a boy said, "She is the wife of my mother's sister's brother." How is the boy's mother related to the lady?
Solution
Represent the information in diagram.
So, boy's mother will be sister in law for the lady.
So, the answer would be option d)Sister-in-law
Select the correct alternative from the following options which can form a complete square (3 out of 5 images given below) :
Solution
So, the answer would be option a)1,2,3
Each face of the dice is painted with Purple, Red, Yellow, Blue, Gray and Orange as shown in the given figure. What colour is painted on the face opposite to Gray colour?
Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
Q, L, J, N, A
Solution
In given list of letters, Q, L, J, N are consonants whereas letter A is a vowel. Hence, letter A doesn't belong to Group.
Total area of the square Glass Piece is $$324 cm^2$$, which is placed on the top of a table. The width between the edge of the table and the glass piece is 3 cm wide. Find the length of the table.
Solution
ABCD is the table and the glass piece is placed inside.
Side of glass = $$\sqrt{324}=18$$ cm
Width between glass and table = $$3$$ cm
=> Side of table = $$3+18+3=24$$ cm
=> Ans - (B)
A person cycles from hostel to college at a speed of 10 kmph and reaches 7 minutes late. If he cycles at a speed of 12 kmph, he reaches early by 6 minutes. Find the distance between hostel and college.
Solution
Let ideal time taken = $$t$$ hours
Also, speed is inversely proportional to time.
=> $$\frac{10}{12}=\frac{t-\frac{6}{60}}{t+\frac{7}{60}}$$
=> $$10t+\frac{7}{6}=12t-\frac{6}{5}$$
=> $$12t-10t=\frac{7}{6}+\frac{6}{5}$$
=> $$t=\frac{35+36}{60}=\frac{71}{60}$$
$$\therefore$$ Distance = speed $$\times$$ time
= $$10\times(\frac{71}{60}+\frac{7}{60})$$
= $$\frac{78}{6}=13$$ km
=> Ans - (A)
Binoy donates 16% of his Salary to Visually challenged organization, 12% of his Salary to orphanage, 13% of his Salary to Physically challenged organization and 14% of his Salary to the foundations for medical help. The remaining amount Rs.20925 of his Salary has been deposited in the bank for monthly expenses. Find the amount donated to orphanage.
Solution
If total salary is 100%, then % salary remaining after the donations = $$100-(16+12+13+14)=45\%$$
According to ques, $$45\%\equiv Rs.$$ $$20,925$$
Thus, amount donated to orphanage = $$12\%\equiv\frac{20925}{45}\times12$$
= $$465\times12=Rs.$$ $$5,580$$
=> Ans - (C)
In a support project of an English based company, there are 503 male and 503 female employees. The average productivity of all the employees is 53 calls per day. The average calls attended by a male employee is 53 calls per day. What is the average calls attended per day by a female employee?
Solution
Since, there are an equal number of male and female employees in the company, and also the average productivity is 75 calls per day which is equal to the number of calls attended by the males.
Thus, number of calls attended per day by a female employee will also equal to = 53
=> Ans - (C)
A train takes 53 seconds to cross a bridge of length 288 m. if the same train takes 17 seconds to cross a sign board, find the length of the train
Solution
Let length of train = $$l$$ m and speed = $$s$$ m/s
Speed of train which takes 53 seconds to cross a bridge of length 288 m = $$s=\frac{288+l}{53}$$ -----------(i)
Also, $$s=\frac{l}{17}$$ --------------(ii)
Substituting value of $$s$$ from equation (ii) in (i), we get :
=> $$\frac{l}{17}=\frac{288+l}{53}$$
=> $$53l=(288\times17)+17l$$
=> $$53l-17l=36l=288\times17$$
=> $$l=\frac{288\times17}{36}=136$$
$$\therefore$$ Length of train = 136 m
=> Ans - (D)
Find the number of trailing Zeros in 64!
Solution
Number of trailing zeroes = $$\frac{64}{5}+\frac{64}{25}$$
= $$12+2=14$$ [Number will be round off to the lowest value]
=> Ans - (B)
A gift box consists of 10 rings. The average weight of the first 4 rings is 27 grams and the average weight of the remaining 6 rings is 28 grams. Find the average weight of the total rings.(in grams)
Solution
Average weight of first 4 rings = 27 grams
=> Weight of first 4 rings = $$27\times4=108$$ grams
Similarly, weight of remaining 6 rings = $$28\times6=168$$ grams
$$\therefore$$ Average weight of the total rings = $$\frac{108+168}{10}=27.6$$ grams
=> Ans - (A)
Station master decides that the length and the breadth of the rectangular Digital Board should be increased by 2% and decreased by 2% respectively. Find the overall change in the area.
Solution
Let the length and breadth of rectangle be 100 cm
=> Original area = $$100\times100=10000$$ $$cm^2$$
Increasing the length by 2%, => new length = $$100\times\frac{102}{100}=102$$ cm
Similarly, new breadth = $$98$$ cm
=> New area = $$102\times98=9996$$ $$cm^2$$
$$\therefore$$ Area is decreased by = $$\frac{10000-9996}{10000}\times100=0.04\%$$
=> Ans - (C)
Simplify:
$$\frac{1}{8} \div \frac{1}{8} \div \frac{1}{8} \div \frac{1}{8} \div \frac{1}{8}$$ = ?
Solution
Expression : $$\frac{1}{8} \div \frac{1}{8} \div \frac{1}{8} \div \frac{1}{8} \div \frac{1}{8}$$
= $$[\frac{1}{8} \div \frac{1}{8}] \div [\frac{1}{8} \div \frac{1}{8} \div \frac{1}{8}]$$
= $$(1 \div \frac{1}{8}) \div \frac{1}{8} \div \frac{1}{8}$$
= $$(8\div\frac{1}{8})\div\frac{1}{8}$$
= $$8\times8\div\frac{1}{8}$$
= $$64\times8=512$$
=> Ans - (A)
A bulb producing company found that 11% of the overall product is defective. If the number of non defective products is 2848 then find the number of defective products.
Solution
% of non defective bulbs = $$100-11=89\%\equiv2848$$
=> Number of defective products = $$11\%\equiv\frac{2848}{89}\times11$$
= $$32\times11=352$$
=> Ans - (C)
Simplify:
$$((3^4)^2 \times \frac{1}{27^2})^2 + 9$$ = ?
Solution
Expression : $$((3^4)^2 \times \frac{1}{27^2})^2 + 9$$ = ?
= $$[(3)^8\times(3)^{-6}]^2+9$$
= $$[(3)^{8-6}]^2+9$$
= $$3^4+9=90$$
=> Ans - (D)
Find the product of two numbers, whose LCM is 25 and HCF is 8.
Solution
Product of the 2 numbers = Product of L.C.M. and H.C.F.
= $$25\times8=200$$
=> Ans - (A)
Dorlin walks certain distance at (5/6)th of the usual speed and takes 16 minutes more than the usual time. Find the usual time taken.
Solution
Let usual speed = $$6$$ m/min and usual time taken = $$t$$ min
=> New speed = $$5$$ m/min and new time = $$(t+16)$$ min
Also, speed is inversely proportional to time.
=> $$\frac{6}{5}=\frac{t+16}{t}$$
=> $$6t=5t+80$$
=> $$6t-5t=t=80$$
$$\therefore$$ Usual time taken = 1 hr 20 mins
=> Ans - (D)
A sum of Rs.4400 invested under simple interest at the rate of 8% p.a. If the amount after 5 years is withdrawn and half of the total amount is invested in Share market. Find the remaining amount.(in Rs.)
Solution
Principal sum = Rs. 4400
Rate of interest = 8% and time period = 5 years
Simple interest = $$\frac{P\times R\times T}{100}$$
= $$\frac{4400\times8\times5}{100}=Rs.$$ $$1760$$
Thus, total amount after 5 years = $$Rs.$$ $$(4400+1760)=Rs.$$ $$6160$$
$$\therefore$$ Remaining amount after half of the total amount is been invested in Share market = $$\frac{6160}{2}=Rs.$$ $$3080$$
=> Ans - (A)
What is the height of the cuboid, if the cube of diagonal 6√3 cm is melted and casted, the cuboid’s length is the same as the cube’s side and the breadth of the cuboid is 3 cm?
Solution
Let side of cube be $$a$$ cm
=> Diagonal = $$\sqrt{a^2+a^2+a^2}=6\sqrt3$$
=> $$\sqrt3a=6\sqrt3$$
=> $$a=6$$ cm
Let height of cuboid = $$h$$ cm, length, $$l=6$$ cm and breadth, $$b=3$$ cm
According to ques, Volume of cuboid = Volume of cube
=> $$lbh=a^3$$
=> $$6\times3\times h=(6)^3$$
=> $$h=\frac{6\times6}{3}=12$$ cm
=> Ans - (B)
A Person travels an Equilateral triangular area with the speed of 12kmph, 18kmph, and 36kmph along the planes of the triangular field. Find the average speed of the journey.
Solution
Since, the distance travelled is equal on the three sides, hence average speed will be the harmonic mean of the speeds.
= $$\frac{3}{\frac{1}{12}+\frac{1}{18}+\frac{1}{36}}$$
= $$\frac{3}{\frac{3+2+1}{36}}$$
= $$\frac{3}{6}\times36=18$$ km/hr
=> Ans - (D)
Simplify:
$$ 2^3 \div 2^{-2} + \sqrt{36} + \sqrt{144} = ?$$
Solution
Expression : $$ 2^3 \div 2^{-2} + \sqrt{36} + \sqrt{144} = ?$$
= $$(2)^{3-(-2)}+6+12$$
= $$32+18=50$$
=> Ans - (D)
Directions:
Study the following bar graph and answer the question that follows:
Sales of books (in thousands) from 5 branches (C1,C2,C3,C4&C5) of a publishing company for the two successive years 2010 and 2011.
What is the ratio of the total sales of branch C2 for both years to the total sales of branch C4 for both years?
Solution
Total sales of branch C2 for both years = 78 + 87 = 165
Total sales of branch C4 for both years = 56 + 92 = 148
=> Required ratio = 165:148
=> Ans - (C)
Directions:
Study the following bar graph and answer the question that follows:
Sales of books (in thousands) from 5 branches (C1,C2,C3,C4&C5) of a publishing company for the two successive years 2010 and 2011.
What is the total sales in the branches C1, C3 and C5 together for both the years? (in thousands)
Solution
Total sales of branch C1, C3 and C5 for both years
= (56 + 66) + (68 + 76) + (82 + 42) = 390
=> Ans - (B)
Simplify:
$$\sqrt{17.64} + \sqrt{70.56} \div 2 = ?$$
Solution
Expression : $$\sqrt{17.64} + \sqrt{70.56} \div 2 = ?$$
= $$4.2+\frac{8.4}{2}$$
= $$4.2+4.2=8.4$$
=> Ans - (C)
The average weight of 93 Notebooks in a box is 9.3 kg. When a new Notebook is added to the box the average goes to 9.4 kg. Find the weight of the new Notebook.
Solution
Average weight of 93 Notebooks in a box = 9.3 kg
=> Total weight = $$93\times9.3=864.9$$ kg
Let weight of new book = $$x$$ kg
=> New average = $$\frac{864.9+x}{94}=9.4$$
=> $$864.9+x=94\times9.4=883.6$$
=> $$x=883.6-864.9=18.7$$ kg
=> Ans - (A)
In how many ways that 520 mobiles can be distributed equally to the students in the class?
When the article sold at the rate of Rs.1220 earned a profit of 11% more than that of the loss incurred when the same article sold at the rate of Rs.798. Find the Cost price of the article.
Solution
Let cost price of the article = Rs. $$x$$
Loss = Rs. $$(x-798)$$
Profit = Rs. $$(1220-x)$$
According to ques, => $$\frac{P-L}{L}\times100=11$$
=> $$\frac{(1220-x)-(x-798)}{(x-798)}\times100=11$$
=> $$\frac{2018-2x}{x-798}=\frac{11}{100}$$
=> $$11x-8778=201800-200x$$
=> $$11x+200x=201800+8778=210578$$
=> $$x=\frac{210578}{211}=998$$
$$\therefore$$ Cost price = Rs. 998
=> Ans - (C)
The shopkeeper added 31% of the cost price as mark up and then he gives a discount of same 31% on the marked price for a sale, then what will be the overall profit or loss percentage.
Solution
Let cost price = Rs. 100
=> Marked price = $$100\times(\frac{131}{100})=Rs.$$ $$131$$
Thus, selling price after discount of 31% = $$131\times\frac{100-31}{100}=Rs.$$ $$90.39$$
$$\therefore$$ Loss % = $$\frac{100-90.39}{100}\times100=9.61\%$$
=> Ans - (C)
If the radius of a circle is Five times, its perimeter will become how many times of its previous perimeter?
Solution
Radius of circle is directly proportional to perimeter, $$P=2\pi r$$
So, if radius is increased 5 times, hence the perimeter will become 5 times of its previous perimeter.
=> Ans - (C)
A bag contains different types of old coins in the ratio 11:13:12 whose values are 3 rupees, 4 rupees and 5 rupees respectively. If the total value of the coins is Rs.725, find the number of coins of 3 rupees coin.
Solution
Let number of 3 rupees, 4 rupees and 5 rupees respectively be $$11x,13x$$ and $$12x$$
Total amount = $$(3\times11x)+(4\times13x)+(5\times12x)=725$$
=> $$33x+52x+60x=725$$
=> $$x=\frac{725}{145}=5$$
$$\therefore$$ Number of 3 rupees coins = $$11\times5=55$$
=> Ans - (B)
The difference between the interest earned on the same amount invested under compound interest and simple interest at same rate of interest for 2 years is Rs.28. If the rate of interest is 4% p.a. then find the amount invested.(in Rs.)
Solution
Rate of interest = 4% and time period = 2 years
Let principal sum = Rs. $$P$$
Also, difference between compound interest and simple interest for 2 years = $$P(\frac{r}{100})^2$$
=> $$P(\frac{4}{100})^2=28$$
=> $$P=28\times\frac{10000}{16}$$
=> $$P=Rs.$$ $$17,500$$
=> Ans - (A)
The amount doubles itself under Compound interest in 3 years. In how many years will it become 8 times of it?
Solution
The amount gets doubled in 3 years.
In case of compound interest, the amount will become $$2^n$$ times in $$3n$$ years
=> Final amount = $$8=(2)^3$$
Thus, after $$3\times3=9$$ years, amount will become 8 times.
=> Ans - (C)
The salary ratio of Ram, Raj and Rio is 5:7:9, if Rio is getting Rs.280 more than Ram. What is the salary of Raj?(in Rs.)
Solution
Let salary of Ram, Raj and Rio be $$5x,7x$$ and $$9x$$ respectively.
According to ques, => $$9x-5x=280$$
=> $$x=\frac{280}{4}=70$$
$$\therefore$$ Raj's salary = $$7\times70=Rs.$$ $$490$$
=> Ans - (A)
Study the following bar graph and answer the question that follows:
Sales of books (in thousands) from 5 branches (C1,C2,C3,C4&C5) of a publishing company for the two successive years 2010 and 2011. What is the average sales of all the branches (in thousands) for the year 2010?
Solution
Total sales of all the branches (in thousands) for the year 2010
= 56 + 78 + 68 + 56 + 82 = 340
=> Average sales of all the branches (in thousands) for the year 2010 = $$\frac{340}{5}=68$$
=> Ans - (C)
Time taken by Binu and Caro to cover a distance of 1000 km are in the ratio 17:14. Find the ratio of their speeds.
Solution
Ratio of time taken = 17 : 14
Since, both are covering the same distance, and speed is inversely proportional to time.
Thus, ratio of their speeds = 14 : 17
=> Ans - (A)
Sachin shared 250 gifts among 4 kids. The share of the first kid, twice the share of second kid, thrice the share of third kid and four times the share of fourth kid are all equal. Find the number of gifts received by 2nd kid.
Solution
Let share of each kid be $$a,b,c,d$$ respectively.
Then according to ques, => $$a=2b=3c=4d=k$$
=> $$a=k$$ , $$b=\frac{k}{2}$$ , $$c=\frac{k}{3}$$ , $$d=\frac{k}{4}$$
Thus, total = $$a+b+c+d=250$$
=> $$k+\frac{k}{2}+\frac{k}{3}+\frac{k}{4}=250$$
=> $$k\times(\frac{12+6+4+3}{12})=250$$
=> $$k=250\times\frac{12}{25}=120$$
$$\therefore$$ Number of gifts received by the 2nd kid = $$b=\frac{k}{2}$$
= $$\frac{120}{2}=60$$
=> Ans - (D)
When a number divided by 36 it leaves a remainder 7. What will be the remainder, when the same number divided by 9.
Solution
When a number is divided by 36 it leaves a remainder 7, let the number be = $$36 + 7 = 43$$
Now, when 43 is divided by 9, => $$43=9\times4+7$$
Thus, remainder = 7
=> Ans - (A)
Darmik obtained 71 marks out of 80 in French, 81 marks out of 100 in English, 51 out of 70 in Spanish and 31 out of 50 in Japanese. What was the overall percentage obtained by him?
Solution
Marks obtained = 71 + 81 + 51 + 31 = 234
Maximum marks = 80 + 100 + 70 + 50 = 300
$$\therefore$$ Overall percentage obtained by him = $$\frac{234}{300}\times100=78\%$$
=> Ans - (D)
A shopkeeper sells a product at the rate of Rs.1089 and earns a profit of 12.5%. Find the amount which is equal to half of the cost price of the product.
Solution
Selling price = Rs. 1089 and profit % = 12.5%
=> Cost price = $$\frac{1089}{(100+12.5)}\times100$$
= $$9.68\times100=Rs.$$ $$968$$
$$\therefore$$ Amount which is equal to half of the cost price of the product = $$\frac{968}{2}=Rs.$$ $$484$$
=> Ans - (B)
