What is the process of increasing the conductivity of intrinsic semiconductor by adding an appropriate amount of suitable impurity?
RPF 13 Jan 2019
For the following questions answer them individually
Which is the Lower House of the Parliament?
The Indian Constitution was adopted on
Which one of the following is the abbreviation of the term 'OS' in the Gross Value Added Measurement?
Who invented the game Volleyball?
First Modern Olympic Games was held in which year?
The vernal equinox in Northern Hemisphere occurs on which of the following dates?
The winds which blow from Sub-tropical high pressure belt to Equatorial low pressure belt is called
Which of the following lakes is the largest freshwater lake in India?
Ashoka started to follow Buddhism after which one of the following battles?
When did the historic Dandi March began?
Which one of the following is our nearest galaxy?
Who among the following is referred to as the Parrot of India?
Who authored the famous 'Ain-i-Akbari'?
The displacement divided by the time interval in which the displacement occurs is termed
______________
The only steel plant of India which has a coastal location is located at
The process of providing suitable physical and social infrastructure for the upcoming urban areas is known as
What is the total number of schedules in the Constitution?
The main thrust of the First Five Year Plan was on
Solution
The first Five Year Plan was launched in 1951. It was mainly focused on Agricultural development which comes under the primary sector.
The Jawahar Rozgar Yojana was launched in
The maximum electric field that a dielectric medium can withstand without break-down is called its________________
Which Delhi Sultan was responsible for introducing token currency?
The famous Boxing personality Mary Kom belongs to which State?
The Dr. DY Patil stadium is located in
The ground of sports for the game Lawn Tennis is called as
Among the following, Which one is associated with Men's Badminton?
Which of the following features is borrowed from the French Constitution?
Which of the following processes/methods is used to remove the temporary hardness of the water?
Which process is used to harden the natural rubber?
Which is the legislative organ of the Union Government?
The first railway line was laid between
Which one of the following organizations publishes the Human Development Index?
Which one of the following is a major gas present in the Sun?
Which of the following regulates the process of transpiration and gaseous exchange in plants?
Which of the following is also called as Leucocytes?
Which Court is called the Court of Record?
The phenomenon in which the electrons move with an average velocity which is independent of time, although electrons are accelerated is called
Who among the following was known for his famous work "Arthashastra"?
Wheeler island is an offshore island located near the coast of
How many states are there in Indian Constitution?
In which year the Indian Government initiated the Economic reforms?
Who was the last Governor General of free India?
Who was the founder of Chola dynasty?
The Constitution has not fixed the term of office of members of which House among the following, which is left to the Parliament?
Which was the new body appointed for appointing judges?
Who set up 'Swadesh Bandhab Samiti' to propagate swadeshi movement?
Khajuraho temples were made by
What type of document is the Indian Constitution?
Which river changes its course very frequently?
The arrangement of flowers on the floral axis is termed as
Replace the question mark with an option that follows the same logic applied in the first pair
Thermometer:Temperature::Clock: ??
If a mirror is placed on the shaded line, then which of the following options is the right image of the given figure?
Choose the correct water image of the given question 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?
Pleasant, Lovely, Nas ty, Great, Nice
How many straight lines are there in the given figure?
Read the given information carefully and answer the questions that follow.
Eight people P, Q, R, S, T, U, V and W sit around a square table facing cen tre (not necessarily in the same
order) in such a way that four of them sit at four corners of the square while the remaining four sit in the
middle of each of the four sides.
i) P sits between S and W but no t in any of the corners.
ii) Q sits third to the right of P but doesn't sit diagonally o pposite to W.
iii) R sits in one of the corners.
iv) T sits opposite to U but not next to R.
Which of the following options is the odd man out with respect to the arrangement?
A is B's mother. C is D's father. E is D's grandmother and A's mother-in-law who has only one son. How is B related to D, if B is a female?
In this question, three statements are given followed by three 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: All lights are beams. Some beams are reds. All reds are bright.
Conclusions:
i) Some lights are reds
ii) Some lights are bright
iii) Some bright are beams
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?
BFJ, HLP, NQT, RVZ, LPT
Introducing a girl, Vinod said to Kajol, "She is my wife's father-in-law's daughter's daughter." How is the girl related to Vinod?
Choose the correct alternative which will complete the image pattern of the given image.
In a certain code language, if ANGLE is coded as BPHNF, then how is BAKER coded in that language?
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?
G, I, N, O, R
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: This is not the first time in India where a kid is swept away in floodwaters.
Conclusion:
i) Floods ofte n occur in India.
ii) Incidents like this had alrea dy happened in India.
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 follow s
(E) Both i and ii follow.
In this question, three 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 > D ≥ V; V < I ≤ S; S = E > R
Conclusions:
i) D ≤ S
ii) I < R
iii) V ≤ E
Each face of the dice is printed with 6 letters P, Q, R, S, T and U as shown in the given figure. What letter is printed on the face opposite to letter S?
Read the given information carefully and answer the questions that follow. Eight people P, Q, R, S, T, U, V and W sit around a square table facing cen tre (not necessarily in the same order) in such a way that four of them sit at four corners of the square while the remaining four sit in the middle of each of the four sides.
i) P sits between S and W but no t in any of the corners.
ii) Q sits third to the right of P but doesn't sit diagonally o pposite to W.
iii) R sits in one of the corners.
iv) T sits opposite to U but not next to R.
Which of the following statements is false with respect to the arrangement?
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 pianos are sitars. All sitars are instruments.
Conclusions:
i) All pianos a re instruments.
ii) Some instruments are Sitars.
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
(E) Both i and ii follow.
Which one of the alternative will be the next figure from the given alternatives for the given series?
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
Using knives and shears, a pair of Russian space walkers on Tuesday cut samples of material around a mysterious hole in a Soyuz spacecraft docked on the International Space Station that a Moscow official suggested could have been deliberately sabotaged. The 2 mm cavity on the Soyuz spaceship docked at the ISS caused an air leak detected in August, two months after the craft’s last voyage. Roscosmos space agency said the aim was to discover whether the small but dangerous hole had been made on Earth or in space, to cut away the insulation covering the hole, take out a sample of the material around it to analyse and put new insulation over the area. Roscosmos chief stated that an investigation had ruled out a manufacturing error.
The veteran cosmonauts struggled but eventually succeeded in their mission. Before this spacewalk, astronauts had only been able to examine the hole from inside the spacecraft. What made it especially hard is that the Soyuz spacecraft, unlike the ISS, was not designed to be repaired in spacewalks and has no outside railings for astronauts to hold onto.
Statement: The mysterious hole in the Soyuz spacecraft is not due to manufacturing error.
Choose the appropriate one from the following options
A - The statement is definitely true.
B - The statement is probably true.
C - The statement cannot be determined.
D - The statement is definitely false.
Read the following statements and answer the following question.
A4B means A is the mother of B
A3B means A is the father of B
A5B means A is the son of B
A7B means A is the daughter of B
Which of the following equation shows "P's father is the grandfather of S"?
Replace the question mark with an option that follows the same logic applied in the first pair
Q:L::P: ??
In a certain code language, if LEGAL is coded as OVTZO, then how is GROUP coded in that language?
How many Right angled triangles can be formed from the given figure?
Find the next number in the series.
14, 39, 89, 189, 389, ?
Find the next number in the series.
13, 29, 55, 113, 223, ?
Replace the question mark with an option that follows the same logic applied in the first pair
Begin:Start::Amazing : ??
Read the given information carefully and answer the questions that follow.
Eight people P, Q, R, S, T, U, V and W sit around a square table facing cen tre (not necessarily in the same order) in such a way that four of them sit at four corners of the square while the remaining four sit in the middle of each of the four sides.
i) P sits between S and W but no t in any of the corners.
ii) Q sits third to the right of P but doesn't sit diagonally opposite to W.
iii) R sits in one of the corners.
iv) T sits opposite to U but not next to R.
Who sits exactly between T and V?
Select the correct alternative from the following options which can form a complete square (3 out of 5images given below) :
Find the next number in the series.
14, 28, 31, 62, 65, ?
In this question, relationship between different elements is shown in the statement. This statement is followed by two conclusions:
Statement: A < D ≤ V = I < S > E
Conclusions:
i) A < S
ii) A < E
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
(E) Both i and ii follow.
Replace the question mark with an option that follows the same logic applied in the first pair
2130:36::4312: ??
Find the next number in the series.
34, 45, 58, 75, 94, ?
How many squares are there in the given figure?
In this question, a passage is given followed by a statement. Read the passage carefully and judge the statement based on the given passage.
Using knives and shears, a pair of Russian space walkers on Tuesday cut samples of material around a mysterious hole in a Soyuz spacecraft docked on the International Space Station that a Moscow official suggested could have been deliberately sabotaged. The 2 mm cavity on the Soyuz spaceship docked at the ISS caused an air leak detected in August, two months after the craft’s last voyage. Roscosmos space agency said the aim was to discover whether the small but dangerous hole had been made on Earth or in space, to cut away the insulation covering the hole, take out a sample of the material around it to analyse and put new insulation over the area. Roscosmos chief stated that an investigation had ruled out a manufacturing error.
The veteran cosmonauts struggled but eventually succeeded in their mission. Before this spacewalk, astronauts had only been able to examine the hole from inside the spacecraft. What made it especially hard is that the Soyuz spacecraft, unlike the ISS, was not designed to be repaired in spacewalks and has no outside railings for astronauts to hold onto.
Statement: The Soyuz spacecraft was designed to be repaired in spacewalks.
Choose the appropriate one from the following options
A - The statement is definitely true.
B - The statement is probably true.
C - The statement cannot be determined.
D - The statement is definitely false.
LCM of two numbers is 90 and their HCF is 3. Given that one number is 18, find the second number.
Solution
Product of 2 numbers = Product of L.C.M. and H.C.F.
Let second number be $$x$$
=> $$x\times18=90\times3$$
=> $$x=\frac{270}{18}=15$$
=> Ans - (C)
The Loss incurred by selling an article at Rs.335 is 60% of the gain attained by selling the same article at Rs.671. Find the cost price of the article. (in Rs)
Solution
Let cost price of the article = Rs. $$x$$
Loss = Rs. $$(x-335)$$
Profit = Rs. $$(671-x)$$
According to ques, => $$x-335=\frac{60}{100}(671-x)$$
=> $$5x-1675=2013-3x$$
=> $$5x+3x=2013+1675=3688$$
=> $$x=\frac{3688}{8}=461$$
$$\therefore$$ Cost price = Rs. 461
=> Ans - (A)
What is the height of the cuboid, if the cube of diagonal 44√3cm is melted and casted, the cuboid’s length is the same as the cube’s side and the breadth of the cuboid is 22cm? (in cm)
Solution
Let side of cube be $$a$$ cm
=> Diagonal = $$\sqrt{a^2+a^2+a^2}=44\sqrt3$$
=> $$\sqrt3a=44\sqrt3$$
=> $$a=44$$ cm
Let height of cuboid = $$h$$ cm, length, $$l=44$$ cm and breadth, $$b=22$$ cm
According to ques, Volume of cuboid = Volume of cube
=> $$lbh=a^3$$
=> $$44\times22\times h=(44)^3$$
=> $$h=\frac{44\times44}{22}=88$$ cm
=> Ans - (C)
A person cycles from hostel to college at a speed of 20 kmph and reaches 6.5 minutes late. If he cycles at a speed of 24 kmph and reaches early by 6.5 minutes, find the distance between hostel and college. (in km)
Solution
Let ideal time taken = $$t$$ hours
Also, speed is inversely proportional to time.
=> $$\frac{20}{24}=\frac{t-\frac{6.5}{60}}{t+\frac{6.5}{60}}$$
=> $$5t+\frac{6.5}{12}=6t-\frac{6.5}{10}$$
=> $$6t-5t=\frac{6.5}{12}+\frac{6.5}{10}$$
=> $$t=\frac{32.5+39}{60}=\frac{71.5}{60}$$
$$\therefore$$ Distance = speed $$\times$$ time
= $$20\times(\frac{71.5}{60}+\frac{6.5}{60})$$
= $$\frac{78}{3}=26$$ km
=> Ans - (C)
The length of a floor is 125% of its breadth. If the area of floor is $$125m^2$$, what is the sum of the length and the breadth of the floor? (in m)
Solution
Let breadth of floor = $$x$$ m
=> Length = $$\frac{125}{100}\times x=1.25x$$ m
Area = $$x\times1.25x=125$$
=> $$x^2=\frac{125}{1.25}=100$$
=> $$x=\sqrt{100}=10$$
$$\therefore$$ Sum of length and breadth = $$x+1.25x=2.25x$$
= $$2.25\times10=22.5$$
=> Ans - (B)
Anil obtained 79 marks out of 120 in French, 95 marks out of 130 in English, 31 out of 70 in Spanish and 35 out of 80 in Japanese. What is the overall percentage obtained by him? (in %)
Solution
Marks obtained = 79 + 95 + 31 + 35 = 240
Maximum marks = 120 + 130 + 70 + 80 = 400
$$\therefore$$ Overall percentage obtained by him = $$\frac{240}{400}\times100=60\%$$
=> Ans - (B)
Martin donates 13% of his Salary to organization for Visually challenged, 12% of his Salary to orphanage, 14% of his Salary to organization for Physically challenged and 16% of his Salary to the foundations for medical help. If the remaining amount Rs.18,900 of Salary has been deposited in the bank for monthly expenses. Find the amount donated to organization for Visually challenged. (in Rs.)
Solution
If total salary is 100%, then % salary remaining after the donations = $$100-(13+12+14+16)=45\%$$
According to ques, $$45\%\equiv Rs.$$ $$18,900$$
Thus, amount donated to organization for Visually challenged = $$13\%\equiv\frac{18900}{45}\times13$$
= $$420\times13=Rs.$$ $$5,460$$
=> Ans - (D)
A bulb producing company found that 19% of the overall product is defective. If the number of non defective products is 1944 then find the number of defective products.
Solution
% of non defective bulbs = $$100-19=81\%\equiv1944$$
=> Number of defective products = $$19\%\equiv\frac{1944}{81}\times19$$
= $$24\times19=456$$
=> Ans - (B)
The number of employees working in a firm is increased by 14% and the wages per head are decreased by 14%. If it results in x% decrease in total wages, then find the value of x.
Solution
Let number of employees in the firm initially = 100 and wages per head = Rs. 100
=> Total wages = $$100\times100=Rs.$$ $$10,000$$
Number of employees after decrease of 14% = $$100-\frac{14}{100}\times100=86$$
Similarly, new wages per head = $$Rs.$$ $$114$$
=> New wages = $$86\times114=Rs.$$ $$9804$$
$$\therefore$$ Decrease in total wages = $$\frac{10000-9804}{10000}\times100=1.96\%$$
=> Ans - (D)
Simplify:
$$132 - [ 5^2 - 4^2 + \sqrt{(144 \div 12 + 132(2 \times 2 \div 4))}]$$
Solution
Expression : $$132 - [ 5^2 - 4^2 + \sqrt{(144 \div 12 + 132(2 \times 2 \div 4))}]$$
= $$132 - [ 5^2 - 4^2 + \sqrt{(12 + 132(1))}]$$
= $$132 - [25-16 + \sqrt{144}]$$
= $$132-(9+12)=111$$
=> Ans - (B)
Find the fraction of X, X = 0.7822222…
Solution
Given : $$x=0.7822222....$$
=> $$100x=78.22222.....$$ ------------(i)
=> $$1000x=782.2222.....$$ ------------(ii)
Subtracting equation (i) from (ii), we get :
=> $$900x=782.2222-78.2222=704$$
=> $$x=\frac{704}{900}$$
=> Ans - (A)
The selling price of the article is Rs.1,764 after a successive discounts of 10% and 20%. If the cost price is 50% of the marked price, then what is the cost price. (in Rs)
Solution
Let marked price = Rs. $$100x$$
After 1st discount of 10%, selling price = $$100x-(\frac{10}{100}\times100x)=Rs.$$ $$90x$$
Similarly, after 2nd discount of 20%, selling price = $$90x-(\frac{20}{100}\times90x)=Rs.$$ $$72x$$
According to ques, => $$72x=1764$$
=> $$x=\frac{1764}{72}=24.5$$
$$\therefore$$ Cost price = $$\frac{50}{100}\times100\times24.5=Rs.$$ $$1225$$
=> Ans - (A)
The average weight of 87 Notebooks in a box is 8.7 kg. When a new Notebook is added to the box the average goes to 8.8 kg. Find the weight of the new Notebook. (in kg)
Solution
Average weight of 87 Notebooks in a box = 8.7 kg
=> Total weight = $$87\times8.7=756.9$$ kg
Let weight of new book = $$x$$ kg
=> New average = $$\frac{756.9+x}{88}=8.8$$
=> $$756.9+x=88\times8.8=774.4$$
=> $$x=774.4-756.9=17.5$$ kg
=> Ans - (C)
A train of length 135 m travels at a speed of 54 kmph crosses a bridge in 27 seconds. Find the length of the bridge. (in m)
Solution
Speed of train = 54 kmph = $$54\times\frac{5}{18}=15$$ m/s
Let length of bridge = $$x$$ m
Using, speed = distance/time
=> $$15=\frac{135+x}{27}$$
=> $$135+x=27\times15=405$$
=> $$x=405-135=270$$ m
=> Ans - (A)
A sum of Rs.7,800 invested under simple interest at rate of 11% p.a. If the amount after 5 years is been withdrawn and half of the total amount is been invested in Share market. Find the remaining amount. (in RS)
Solution
Principal sum = Rs. 7800
Rate of interest = 11% and time period = 5 years
Simple interest = $$\frac{P\times R\times T}{100}$$
= $$\frac{7800\times11\times5}{100}=Rs.$$ $$4290$$
Thus, total amount after 5 years = $$Rs.$$ $$(7800+4290)=Rs.$$ $$12,090$$
$$\therefore$$ Remaining amount after half of the total amount is been invested in Share market = $$\frac{12090}{2}=Rs.$$ $$6045$$
=> Ans - (B)
Directions:
The bar graph below shows the data of the production of paper (in thousands) by three different companies X, Y and Z over the years (2001-2005)
What is the difference between the production of company Z in 2001 and company Y in 2002? (in thousands)
Solution
Production of company Z in 2001 (in thousands) = 68
Production of company Y in 2002 (in thousands) = 71
=> Required difference = 71 - 68 = 3
=> Ans - (D)
Anitha walks a certain distance at (9/10)th of her usual speed and takes 24 minutes more than the usual time. Find the usual time taken. (in minutes)
Solution
Let usual speed = $$10$$ m/min and usual time taken = $$t$$ min
=> New speed = $$9$$ m/min and new time = $$(t+24)$$ min
Also, speed is inversely proportional to time.
=> $$\frac{10}{9}=\frac{t+24}{t}$$
=> $$10t=9t+216$$
=> $$10t-9t=t=216$$
$$\therefore$$ Usual time taken = 216 minutes
=> Ans - (D)
A sum of money is to be distributed among Ankit, Babu, Christo and David in the proportion of 5:4:3:2. If Christo gets Rs.114 more than David, what is Babu's share? (in Rs)
Solution
Let amount received by Ankit, Babu, Christo and David be $$5x,4x,3x$$ and $$2x$$ respectively.
According to ques, => $$3x-2x=114$$
=> $$x=114$$
$$\therefore$$ Babu's share = $$4\times114=Rs.$$ $$456$$
=> Ans - (A)
Directions:
The bar graph below shows the data of the production of paper (in thousands) by three different companies X, Y and Z over the years (2001-2005)
What is the percentage increase in the production of the company X from 2002 to 2005? (in % - round off to 2 decimal places)
Solution
Production of paper (in thousands) by company X in 2002 = 66
Production of paper (in thousands) by company X in 2005 = 69
=> % increase in production = $$\frac{(69-66)}{66}\times100$$
= $$\frac{50}{11}\approx4.55\%$$
=> Ans - (C)
Which of the following number is divisible by 24?
Solution
Numbers which are divisible by 24, must first be divisible by 3 and also by 8. Checking divisibility by 8.
146604 and 166044 are not divisible by 8, so of the middle two numbers, only second number is divisible by 3.
Thus, 166440 is divisible by 24.
=> Ans - (B)
Simplify:
$$((4^2)^3 \div 16^2 ) \times ([20 - 4] \div 4)$$
Solution
Expression : $$((4^2)^3 \div 16^2 ) \times ([20 - 4] \div 4)$$
= $$(\frac{4^6}{4^4}) \times (\frac{16}{4})$$
= $$4^2\times4=64$$
=> Ans - (B)
The difference between the interest earned on the same amount invested under compound interest andsimple interest at same rate of interest for 2 years is Rs.180. If the rate of interest is 6% p.a. then find the amount invested. (in Rs.)
Solution
Rate of interest = 6% and time period = 2 years
Let principal sum = Rs. $$P$$
Also, difference between compound interest and simple interest for 2 years = $$P(\frac{r}{100})^2$$
=> $$P(\frac{6}{100})^2=180$$
=> $$P=180\times\frac{10000}{36}$$
=> $$P=Rs.$$ $$50,000$$
=> Ans - (A)
The amount doubles itself under Compound interest in 7 years. In how many years will it become 64 times of it? (in years)
Solution
The amount gets doubled in 7 years.
In case of compound interest, the amount will become $$2^n$$ times in $$7n$$ years
=> Final amount = $$64=(2)^6$$
Thus, after $$7\times6=42$$ years, amount will become 64 times.
=> Ans - (A)
A Box contains three different types of old coins in the ratio 3:5:7. The values of old coins are 1 rupee, 5 rupees and 10 rupees respectively If the total value of the coins in the box is Rs.2352, find the number of coins values 10 rupees
Solution
Let number of 1 rupee, 5 rupees and 10 rupees respectively be $$3x,5x$$ and $$7x$$
Total amount = $$(1\times3x)+(5\times5x)+(10\times7x)=2352$$
=> $$3x+25x+70x=2352$$
=> $$x=\frac{2352}{98}=24$$
$$\therefore$$ Number of 10 rupees coins = $$7\times24=168$$
=> Ans - (D)
What will be the remainder when 36367 is divided by 9?
Solution
Sum of digits of 36367 = 3+6+3+6+7=25
Now, when 25 is divided by 9, => $$25=9\times2+7$$
Thus, remainder = 7
=> Ans - (D)
The sum of three numbers is 216. If the ratio of the first to the second is 2:3 and that of the second to the third is 3:4, then the second number is
Solution
Let the three numbers respectively be $$2x,3x$$ and $$4x$$
Sum = $$2x+3x+4x=9x=216$$
=> $$x=\frac{216}{9}=24$$
$$\therefore$$ Second number = $$3\times24=72$$
=> Ans - (B)
Total area of the square Glass Piece is $$841cm^2$$, which is placed on the top of a table. The width between the edge of the table and the edge of the glass piece is 11cm wide. Find the length of the table. (in cm)
Solution
ABCD is the table and the glass piece is placed inside.
Side of glass = $$\sqrt{841}=29$$ cm
Width between glass and table = $$11$$ cm
=> Side of table = $$11+29+11=51$$ cm
=> Ans - (D)
Find the value of X:
$$\sqrt{(596 - X)} = \sqrt{(598 - \sqrt{484})}$$
Solution
Expression : $$\sqrt{(596 - X)} = \sqrt{(598 - \sqrt{484})}$$
=> $$(596-X)=(598-22)$$
=> $$X=596-598+22=20$$
=> Ans - (C)
A Gift box contains 10 bangles, of which average weight of first 4 bangles is 71 grams and the average weight of remaining 6 bangles is 72 grams. Find the average weight of the total bangles. (in grams)
Solution
Average weight of first 4 bangles = 71 grams
=> Weight of first 4 bangles = $$71\times4=284$$ grams
Similarly, weight of remaining 6 bangles = $$72\times6=432$$ grams
$$\therefore$$ Average weight of the total bangles = $$\frac{284+432}{10}=71.6$$ grams
=> Ans - (A)
Simplify:
$$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(601 + \sqrt{576)}))}}}$$
Solution
Expression : $$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(601 + \sqrt{576)}))}}}$$
= $$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(601 + 24)})})}$$
= $$ \sqrt{(1190 - \sqrt{(1181 - \sqrt{(625)})})}$$
= $$ \sqrt{(1190 - \sqrt{(1181 - 25)})}$$
= $$ \sqrt{(1190 - \sqrt{(1156)})}$$
= $$ \sqrt{(1190 - 34)}$$
= $$ \sqrt{(1156)}=34$$
=> Ans - (B)
In a mixture of 168 litres, the ratio of milk and water is 3:4. If this ratio is to be 3:5, then the quantity of water to be further added is. (in Litres)
Solution
Quantity of milk in 168 litres mixture = $$\frac{3}{(3+4)}\times168=72$$ litres
=> Quantity of water = $$168-72=96$$ litres
Let $$x$$ litres of water is to be added.
=> $$\frac{72}{96+x}=\frac{3}{5}$$
=> $$360=288+3x$$
=> $$3x=360-288=72$$
=> $$x=\frac{72}{3}=24$$
$$\therefore$$ Quantity of water to be further added is 24 litres.
=> Ans - (B)
A shopkeeper sells a product at the rate of Rs.1,539 and earns a profit of 14%. Find the amount which is equal to half of the cost price of the product. (in Rs)
Solution
Selling price = Rs. 1539 and profit % = 14%
=> Cost price = $$\frac{1539}{(100+14)}\times100$$
= $$27\times50=Rs.$$ $$1350$$
$$\therefore$$ Amount which is equal to half of the cost price of the product = $$\frac{1350}{2}=Rs.$$ $$675$$
=> Ans - (B)
In a support project of an English based company, there are 217 male and 217 female employees. The average productivity of all the employees is 75 calls per day. The average calls attended by a male employee is 75 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 = 75
=> Ans - (B)
Directions:
The bar graph below shows the data of the production of paper (in thousands) by three different companies X, Y and Z over the years (2001-2005)
The average production for the five years was minimum for which company?
Solution
Total production of company :
X = 60 + 66 + 62 + 71 + 69 = 328
Y = 65 + 70 + 68 + 76 + 73 = 352
Z = 67 + 73 + 70 + 80 + 76 = 366
Thus, average production for the five years was minimum for company X.
=> Ans - (A)
A man completes a journey in 7 hours. He travels first half of the journey at the rate of 20 kmph and second half at the rate of 30 kmph. Find the total distance of the entire journey. (in km)
Solution
Let total distance = $$2d$$ km
Using, time = distance/speed
=> $$\frac{d}{20}+\frac{d}{30}=7$$
=> $$\frac{30d+20d}{600}=7$$
=> $$5d=7\times60$$
=> $$d=7\times12=84$$
$$\therefore$$ Total distance of the entire journey = $$2\times84=168$$ km
=> Ans - (C)
