Daily GK Update 15th August 2017

1. Nation celebrates its 71st Independence Day on 15th August 2017

i. The nation celebrates its 71st Independence Day today (15th August 2017) and the main function was held at the Red Fort of the national capital where Prime Minister Narendra Modi hoisted the National Flag. 

ii. The unfurling of the Tricolour was synchronized with the 21 Gun Salute fired by the valiant gunners of the elite 2281 Field Regiment (Ceremonial). 

2. 112 Gallantry Awards to Armed Forces Personnel, members of Paramilitary Forces

i. On the occasion of 71st Independence Day, 112 Gallantry Awards have been approved by the President Ram Nath Kovind for the Armed Forces and Paramilitary Forces. It includes five Kirti Chakras, 17 Shaurya Chakras, 85 Sena Medals (Gallantry), three Nao Sena Medals (Gallantry) and two Vayu Sena Medals (Gallantry). Havaldar Giris Gurung from first Gorkha Rifles who was martyred during a major counter-infiltration operation along the Line of Control in Naugam sector of Kashmir has been awarded Kirti Chakra posthumously. 

ii. Major David Manlun, who was martyred during an encounter with militants in Mon district of Nagaland, CRPF commandant Pramod Kumar who was martyred in a terror attack in Srinagar's Nowhatta hours before last Independence Day has also been awarded Kirti Chakra Posthumously. 

iii. CRPF commandant Chetan Kumar Cheetah who miraculously recovered from the deep coma after being hit by at least nine bullets during a gun battle with terrorists in Jammu and Kashmir has been awarded Kirti Chakra, the 2nd highest peacetime gallantry award.

3. Home Minister launches live twitter wall on ‘Bharat Ke Veer’

i. Home Minister Rajnath Singh has launched the live twitter wall for promoting Bharat Ke Veer portal on the eve of 71st Independence Day. On the occasion, Mr Singh and Ministers of State for Home Affairs Hansraj Gangaram Ahir and Kiren Rijiju contributed their one month salary for Bharat Ke Veer corpus. 

ii. Mr Singh has handed over a cheque of 1.59 lakh rupees to the Union Home Secretary Rajiv Mehrishi in New Delhi. 

Important Takeaways from Above News-

• Bharat Ke Veer portal was launched by Rajnath Singh and actor Akshay Kumar in April 2017.
• ‘Bharat Ke Veer’ portal aims to facilitate online donation directly to the families of paramilitary troopers who have sacrificed their lives for the country in the line of duty from January 1, 2016.
• Rajnath Singh is a Lok Sabha MP from Lucknow Constituency, Uttar Pradesh.
• Bharat Ke Veer portal is technically supported by National Informatics Centre (NIC) and powered by State Bank of India.

4. PM launches website to honour gallantry award winners

i. Prime Minister Narendra Modi has launched a website to honour all the gallantry award winners since Independence. The portal will preserve and tell the stories of bravest men and women, civilians as well as armed forces personnel.

ii. In remembrance of heroes who have been awarded gallantry awards since Independence, launched the site http://gallantryawards.gov.in. PM also welcomed citizens’ participation in the process.

5. Indian export grows nearly 4 percent in July

i. The country's exports grew three point nine percent in July this year (2017), on a yearly basis to 22 (point) 5 billion dollars. Exports rose due to an increase in shipments of petroleum, chemicals and marine products. Official data released today showed that imports rose 15.4 per cent in July, to 34 billion dollars, due to a rise in inward shipments of crude oil and gold. 

ii. The country's trade deficit widened to 11.4 billion dollars during the month under review, from 7.8 billion dollars in July last year (2016). Gold import spurted 95 per cent, to 2.1 billion dollars in July. Oil imports increased 15 per cent in July.

6. Lalit Modi resigns from Rajasthan Cricket Association

i. Lalit Modi has resigned as president of the Nagaur District Association, marking an end to his presence in the Rajasthan Cricket Association (RCA), which was banned by the Board of Control for Cricket in India (BCCI) for allowing him in its fold.

ii. The 50-year-old, who left India after being charged with money laundering, sent his resignation to both the RCA as well as BCCI CEO Rahul Johri.

7. Sankara Rao to be IFCI Chief Executive

i. IFCI Ltd, a government company, is set to have a new Managing Director & CEO in E Sankara Rao, who is currently Chief General Manager at India Infrastructure Finance Company Ltd (IIFCL).

ii. The Appointments Committee of Cabinet has given its nod for the Department of Financial Services (DFS) proposal to appoint Emandi Sankara Rao as Managing Director & Chief Executive Officer of IFCI Ltd. Rao’s appointment will be valid for three years. Rao is also currently a director and chief executive officer at IIFCL Asset Management Company Ltd.

Important Takeaways from Above News-

• Industrial Finance Corporation of India (IFCI) Limited established on 01st July 1948.
• IFCI Limited is the first Development Financial Institution in the country to cater to the long-term finance needs of the industrial sector.

8. Santosh Sharma appointed CMD of Hindustan Copper Limited 

i. Santosh Sharma has appointed as Chairman and Managing Director of Hindustan Coper Limited (HCL). He is at present Director (Operations) in the HCL. 

ii. The Appointments Committee of the Cabinet (ACC) has approved his appointment to the post for a period of five years, an order issued by the Department of Personnel and Training (DoPT). 

9. Indian Government asks Internet Giants and others to Remove Blue Whale links

i. The government has directed internet majors- Google, Facebook, Whatsapp, Instagram, Microsoft and Yahoo - to immediately remove the links of dangerous online game Blue Whale Challenge, which has led to the suicide of children in India and other countries. Mumbai and West Midnapore district have reported deaths linked to this game.

ii. Ministry of Electronics and IT (Meity) instructed the internet majors in a letter to ensure that any such link of this deadly game in its own name or similar game is immediately removed from their platform.The letter was issued following instructions from Law and IT Minister Ravi Shankar Prasad.

10. Nation Tribute to Sri Aurobindo on 145th Birth Anniversary

i. India paid tributes to Sri Aurobindo on his 145th Birth Anniversary. Sri Aurobindo's rich thoughts and grand vision for India continue to be a great source of inspiration.

ii. A spiritual reformer and philosopher, Sri Aurobindo had a major contribution in the Indian freedom struggle.

Important Takeaways from Above News-

• Sri Aurobindo was born in Calcutta on 15th August 1872.
• Sri Aurobindo left his body on 05th December 1950.

11. 10-yr-old Indian youngest to climb 6,153m mountain

i. A 10-year-old mountaineer from Visakhapatnam, Kaamya Karthikeyan, successfully summited one of the highest peaks in the Himalayas, making her one of the youngest people in the world to achieve this feat.

ii. Kaamya completed the expedition three days before she turned 10, on August 7, thereby conquering Mount Stok Kangri. At a height of 6,153 metres (20,187 ft), Stok Kangri is not recommended for beginners and is considered ideal for advanced trekkers.

12.  Cristiano Ronaldo hit with five-match ban

i. World Player of the Year, Cristiano Ronaldo was banned for five-match by the Spanish football federation. He has been banned for pushing the referee after being sent-off in Real Madrid's 3-1 win over Barcelona in the First Leg of Spanish Super Cup. 

ii. Ronaldo received an automatic one-match ban for his dismissal and an extra four games for his reaction towards referee Ricardo de Burgos Bengoetxea. He has also been fined 4,500 US dollars and has 10 days to appeal the ban.

Important Takeaways from Above News-

• Cristiano Ronaldo is a Portuguese professional footballer. 
• Ronaldo plays as a forward for Spanish club Real Madrid and the Portugal national team.
• Cristiano Ronaldo has won Fifa's world player of the year award for the fourth time after winning both major European titles in 2016.

13. Indian boxers clinch 10 medals at Serbian tourney

i. India bagged two gold in the 6th Golden Glove Women's Boxing Tournament at Vojvodina, Serbia. While Jyoti won Gold in 51 kg category, and Vanlalharitpuii bagged it 60 kg category. In all, India won two gold, four silver and four bronze medals in the tournament. 

ii. The silver medals were clinched by Anjali in 48kg, Sakshi in 54kg, Ashtha in 69kg and Anupama in 81kg categories. Mandeep in 57kg, Nisha in 64kg, Shruti in 75kg and Neha in 81+kg category settled for bronze medals.

Quant Quiz

Quant : Quiz

1.Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

A.  39, 30

B.  41, 32

C.  42, 33

D.  43, 34

2. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

A.  588 apples

B.  600 apples

C.  672 apples

D.  700 apples

3.What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

A.  1

B.  14

C.  20

D.  21

4. If A = x% of y and B = y% of x, then which of the following is true?

A.  A is smaller than B.

B.  A is greater than B

C.  Relationship between A and B cannot be determined.

D. None of these

5. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?

A.  72

B.  80

C.  120

D.  100

6.A student multiplied a number by 3/5 instead of 5/3.

What is the percentage error in the calculation?

A.  34%

B.  44%

C.  54%

D.  64%

7. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

A.  2700

B.  2900

C.  3000

D.  3100

8. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

A.  57%

B.  60%

C.  65%

D.  90%

9. Helen went to the stationers and bought things worth Euro 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

A.  Euro 15

B.  Euro 15.7

C.  Euro 19.7

D.  Euro 20

10.The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

A.  4.37%

B.  5%

C.  6%

D.  8.75%

Answers 
1.C
 Let their marks be (x + 9) and x.
Then, x + 9 = 56/100(x + 9 + x)
25(x + 9) = 14(2x + 9)
3x = 99
x = 33
So, their marks are 42 and 33.

2.  D
 Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
60/100 x x = 420
x = (420 x 100)/60 = 700.

3. C
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1.
Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required percentage = (14/70 x 100)% = 20%.

4.D
 x% of y = (x/100 x y) = (y/100 x x) = y% of x
A = B.

5.D
 Let the number of students be x.
Then, Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
80% of x = 48 + 2/3 of 48
80/100x = 80
x = 100.

6.D
7. A
Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
= (45/100 x 6000) = 2700.

8. A Total number of votes polled = (1136 + 7636 + 11628) = 20400.
Required percentage = (11628/20400 x 100)% = 57%.

9. C
Explanation: Let the amount taxable purchases be Euro x.
Then, 6% of x = 30/100
x = (30/100 x 100/6) = 5.
Cost of tax free items = Euro [25 - (5 + 0.30)] = Euro 19.70

10.B
Increase in 10 years = (262500 - 175000) = 87500.
Increase% = (87500/175000 x 100)% = 50%.
Required average = (50/10)% = 5%.

Quant Quiz

Quant : Quiz

1. The distance between two stations A and B is 220 km. A train leaves A towards B at an average speed of 80 km/hr. After half a hour, another train leaves B towards A at an average speed of 100 km/hr. The distance of the point where the two trains meet, from A is :
a. 120 km
b. 130 km
c. 140 km
d. 150 km


2.  A cart has to cover a distance of 80 km in 10 hours. If it covers half of the journey in (3/5)th time, what should be its speed to cover the remaining distance in the time left ?
a. 8 km/hr
b. 20 km/hr
c. 6.4 km/hr
d. 10 km/hr.

3. Ravi started cycling along the boundaries of a square field from corner point A.  After half an hour, he reached the corner point C, diagonally opposite to A. If his speed was 8 km/hr. what is the area of the field in square km ?
a. 64
b. 4
c. 8
d. Cannot be determined

4. A man goes uphill with an average speed of 35 km/hr and comes down with an average speed of 45 km/hr. The distance travelled in both the cases being the same, the average speed for the entire journey is :
a. 38.38 km/hr
b. 39.38 km/hr
c. 40 km/hr
d. None of these

5. A man walking at 3 km/hr crosses a square field diagonally in 2 min. The area of the field is :
a. 2500 m2
b. 3000 m2
c. 5000 m2
d. 6000 m2

6. A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is :
a. 4 : 1
b. 1 : 4
c. 2 : 1
d. 1 : 2

7. If a boy takes as much time in running 10 m as a car takes in covering 25 m, the distance covered by the boy during the time the car covers 1 km. is :
a. 400 m
b. 40  m
c. 250 m
d. 650 m

8. The ratio between the rates of walking of P and Q is 2 : 3. If the time taken by Q to cover a certain distance is 36 minutes, the time taken by P to cover that much distance is :
a. 24 min
b. 54 min
c. 48 min
d. 21.6 min

9. A man, on tour, travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. the average speed for the first 320 km of the tour, is :
a. 35.55 km/hr
b. 71.11 km/hr
c. 36 km/hr
d. 72 km/hr


10. A man travels 35 km partly at 4 km/hr and at 5 km/hr. If he covers former distance at 5 km/hr and later distance at 4 km/hr, he could cover 2 km more in the same time. The time taken to cover the whole distance at original rate is 
a. 9 hours
b. 7 hours
c. 412 hours
d. 8 hours

Answers 


Answers
1.  A

2. D
Distance left = (12×80) km=40 km
Time left = [(1-35)×10]=25×10=4hrs
Speed required = (40÷4) km/hr= 10 km/hr.

3. B
As his speed is 8kmph, in half an hour he covers 4 kmph. But 4 km is equal to two sides of the square.  So side of the square = 2 km
Area of the field = 2 km x 2 km = 4 km


4. B
Average speed = (2×35×45/35+45) km/hr = 39/38 km/hr.

5. C
Speed = (3×58) m/sec = (56) m/sec.
Distance covered in (2×60)sec. = (56×2×60)m=100m
Length of diagonal = 100 m
So, area = 12×(diagonal)2 = (12×100×100)m2 = 5000m2

6. A
Let x km be covered in y hrs. Then,
Ist speed = (xy) km/hr.
2nd speed = (x2÷2y)km/hr =  (x4y) km/hr
Ratio of speed = xy:x4y=1:14=4:1

7.  A
25 : 10 :: 1000 : x or x = 10×100025 = 400 m

8. B
Ratio of times taken = 12:13
12:13 = x : 36  or 12×36:13×x?18=13×x or x = 54 min.

9.B
Average speed  = (2×64×8064+80) km/hr = (2×64×80144)km/hr.
=71.11 km/hr.

10. D
Suppose the man covers first distance in x hrs.and second distance in y hrs. Then,
4x+5y=35 and 5x+4y = 37
Solving the equations,
we get x = 5 and y = 3
Total time taken = (5+3)hrs = 8 hrs

Quant Quiz

Quant Quiz - Part II

Directions (1- 5): The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answers the question that follow.

Sources of funds to be arranged by NHAI for Phase II projects (in Rs. crores)

1. Nearly about 20% of the funds are to be arranged through:

A. SPVS 

B. External Assistance

C. Annuity 

D. Market Borrowing

2. If NHAI could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds?

A. 4.5 % 

B. 7.5 %

C. 6 % 

D. 8 %

3. If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4910 crores?

A. Rs. 6213 crores 

B. Rs. 5827 crores

C. Rs. 5401 crores 

D. Rs. 5316 crores

4. The central angle corresponding to Market Borrowing is

A. 52° 

B. 137.8°

C. 187.2° 

D. 192.4°

5. The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is

A. 2:1 

B. 1:6

C. 3:11 

D. 2:5

Directions (6 – 10): The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.

Ratio of Value of Imports to Exports by a Company over the Years.

6. If the imports in 1998 were Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was?

A. Rs. 250 crores 

B. Rs. 300 crores

C. Rs. 357 crores 

D. Rs. 420 crores

7. The imports were minimum proportionate to the exports of the company in the year ?

A. 1995 

B. 1996

C. 1997 

D. 2000

8. What was the percentage increase in imports from 1997 to 1998?

A. 72 

B. 56

C. 28 

D. Data inadequate

9. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was?

A. Rs. 370 crores 

B. Rs. 320 crores

C. Rs. 280 crores 

D. Rs. 275 crores

10. In how many of the given years were the exports more than the imports?

A. 1 

B. 2

C. 3 

D. 4

Answers:
1. Answer: (B)
20% of the total funds to be arranged = Rs. (20% of 57600) crores
= Rs. 11520 crores = Rs. 11486 crores. (Approx)
Rs. 11486 crores is the amount of funds to be arranged through External Assistance

2. Answer: (C)
Shortage of funds arranged through External Assistance = Rs. (11486 - 9695) crores
= Rs. 1791 crores.
Increase required in Market Borrowing = Rs. 1791 crores.
Percentage increase required = {[(1791 / 29952) ] x 100}% = 5.98%  = 6%. (Approx)

3. Answer: (C)
Amount permitted = (Funds required from Toll for projects of Phase II) + (10% of these funds)
= Rs. 4910 crores + Rs. (10% of 4910) crores
= Rs. (4910 + 491) crores
= Rs. 5401 crores.

4. Answer: (C)
Central angle corresponding to Market Borrowing =[(29952/57600)] x 360º = 187.2º

5. Answer: (B)
Required ratio = 4910/29952= 1/6.1 = 1/6 (Approx)

6. Answer: (D)
The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.
Let the exports in the year 1998 = Rs. x crores.
Then, the exports in the year 1999 = Rs. (500 - x) crores.
1.25 = 250/x
x = 250 /1.25 = 200 ( Using ratio for 1998
Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.
Let the imports in the year 1999 = Rs. y crores.
Then, 1.40 = y / 300
y = ( 300 * 1.40 ) = 420
Imports in the year 1999 = Rs. 420 crores.

7. Answer: (C)
The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.
Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.

8. Answer: (D)
The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years.
Hence, the data is inadequate to answer this question.

9. Answer: (B)
Ratio of imports to exports in the year 1996 = 0.85.
Let the exports in 1996 = Rs. x crores.
Then, 272/x = 0.85
x = 272 / 0.85= 320
Exports in 1996 = Rs. 320 crores.

10. Answer: (D)
The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.
Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.

Quant Quiz

Quant Quiz

1.    A sum of Rs 731 is distributed among A, B and C, such that A receives 25% more than B and B receives 25% less than C. What is C’s share in the amount?
(1) Rs 172                                  (2) Rs 200                  

(3) Rs 262                                  (4) Rs 272

      

2.    Manoj sold an article for Rs 15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the selling price?
(1) Rs12,500                              (2) Rs13,500              

(3) Rs12,250                              (4) Rs13,250  

3.    What will be the compound interest accrued on an amount of Rs 10,000 @20p.c.p.a. in two years if the interest is compounded half-yearly?
(1) Rs 4,400                               (2) Rs 4,600               

(3) Rs 4,641                               (4) Rs 4,680  

4.    The average weight of 4 men is increased by 3kg when one of them who weighs 120 kg is replaced by another man. What is the weight of the new man?

     (1) 125 kg                                   (2) 150 kg

     (3) 122 kg                                   (4) 132 kg

5.    B and C together can complete a piece of work in 8 days. A and B can complete the same work in 12 days and A and C can complete the same work in 16 days. In how many days can A, B and C together can complete the work?
(1) 3³⁄₉                                        (2) 7⁵⁄₁₃                      

(3) 7⁵⁄₁₂                                      (4) 3⁵⁄₁₂ 

         

6.    The average speed of a car is 1⁴⁄₅ times the average speed of the bus. A tractor covers 575 km in 23 hours. How much distance the car cover in 4 hours of the speed of the bus is twice the speed of the tractor?

     (1) 340 km                                 (2) 480 km     

     (3) 360 km                                 (4) 450 km     

7.    A pump can fill a tank with water in 2 hours. Because of the leak, it took 2¹⁄₃ hours to fill the tank. The leak can drain all the water of the tank in:
(1) 4¹⁄₃ hours                              (2) 7 hours                  

(3) 8 hours                                  (4)14 hours 

    

8.    A shopkeeper mixed two verities of rice at Rs. 20/kg and Rs. 30/kg in the ratio 2 : 3 and sell the mixture at 10% profit. Find the price per kg at which he sold the mixture?
(1) Rs. 26                                   (2) Rs. 28.8                

(3) Rs. 28                                   (4) Rs. 28.6    

9.    The ratio of the present ages of Anju and Sandhya is 13:17 respectively. Four years ago the ratio of their respective ages was 11:15. What will be the respective ratio of their ages six years hence?
(1) 3:4                                         (2) 7:8                         

(3) 5:4                                         (4) 4:5 

10.  A shopkeeper bought 30kg of wheat at the rate of Rs45 per kg. He sold 40% of the total  quantity at the rate of Rs50 per kg. Approximately, at what price per kg should he sell the  remaining quantity to make a profit of 25% overall?
(1) Rs 54                                    (2) Rs 52                    

(3) Rs 50                                    (4) Rs 60   

Answers with Explanation:

            1. (4)            Let C's share be Rs x.

            Then, B gets =0.75 x.

            A gets = 1.25×0.75x

            x+0.75x+0.9375x=731

            2.6875x=731

            x=⁷³¹⁄_2.6875 =272

            2. (1)            SP=Rs15000

            SP after 10% discount= 15000-10%of15000

            = 15000-1500=Rs13500

            Profit on SP= 8%

            CP= ¹³⁵⁰⁰⁄₁₀₈ ×100=Rs 12500

            3. (3)            CI=10000[{(¹¹⁄₁₀ )×(¹¹⁄₁₀ )×(¹¹⁄₁₀ )×(¹¹⁄₁₀ )}-1]

            4.  (4)

            If the average is increased by 3 kg, then sum of weights 

            increases  by 3 x 4 = 12 kg .

            And this increase in weight is due to the extra weight included 

            due to the inclusion of  new person.

            Weight of new man = 120 + 12 = 132 kg.

            5. (2)            (B+C)'s 1 day work= ¹⁄₈  ...(i)

            (A+B)'s 1 day's work= ¹⁄₁₂  ...(ii)

            (A+C)'s 1 day's work = ¹⁄₁₆  ...(iii)

            On adding all these three equations,

            2(A+B+C)'s one day's work = ¹⁄₈ +¹⁄₁₂ ¹⁄₁₆ = ^(6+4+3)⁄₄₈ =¹³⁄₄₈ 

            (A+B+C)'s one day's work= ¹³⁄₉₆ 

                ∴A, B and C can complete the work in ⁹⁶⁄₁₃ =7 ⁵⁄₁₃ 

            6. (3)

            Speed of the tractor= ^distance/ _time 

            =⁵⁷⁵⁄₂₃ =25kmph

                ∴speed of bus= 50kmph

                ∴speed of car= ⁹⁄₅ ×50=90kmph

                ∴distance covered by the car in 4 hours= 4×90=360km

            7. (4)

            Work done by the leak in 1 hour = (¹⁄₂ -³⁄₇) = ¹⁄₁₄ 

                ∴leak will empty the tank in 14 hours.

            8. (4)

            CP of mixture = ^(20*2+30*3)⁄₂₊₃ =26

            SP of the mixture = 1.1×26=28.6

            9.(4)

            Let the present ages of Anju and Sandhya be 13x and 17x years 

             respectively. 

                ∴^13x-4⁄_17x-4 =¹¹⁄₁₅ 

            =>187x-44=195x-60

            =>195x-187x=60-40

            =>x=2

                ∴Required ratio= (13×2+6):(17×2+6)

            =4:5

            10.       (4)

            CP of wheat= 30×45=Rs1350

            40% of 30kg =12kg

            SP of 12kg = 12×50 = Rs 600

            For 25% profit, total SP of all the wheat is 1350×¹²⁵⁄₁₀₀ 

            =Rs 1687.5

            Remaining wheat (30-12) = 18kg

             Rate of remaining wheat = ^1087.5⁄₁₈ ≈Rs60          

Quant Quiz

Quant Quiz

1. A certain amount was to be distributed among A, B and C in the ratio 1 : 2 : 3 respectively, but was erroneously distributed in the ratio 4 : 3 : 2 respectively. As a result of this, C got Rs. 60 less. What is the total amount?

(a) Rs. 216                                          

(b) Rs. 48            

(c) Rs. 108                                           

(d) Rs. 36  

2. Gaurav scored 83 marks in subject A. He scored 75% marks in subject B and X marks in subject C. Maximum marks in each subject were 120. The overall percentage marks obtained by Gaurav in all three subjects together were 80%. How many marks did he score in subject C?

(a) 94                                    

(b) 106                

(c) 85                                    

(d) 115    

           

3. Monika enters a shop to buy pen, pencils and erasers. She has to buy at least 7 units of each. She buys more pencils than pen and more erasers than pencils. She picks up a total of 26 items. How many pencils does she buy?

(a) 10 or 11                                        

(b) 9 or 10          

(c) 8 or 9                                              

(d) 7 or 9     

                       

4. Rs. 31,394 are divided between A and B in the ratio 5 : 6. What is the difference between thrice the share of A and twice the share of B?

(a) Rs. 6582                        

(b) Rs. 5862      

(c) Rs. 8562                        

(d) Rs. 8652        

              

5. Sum of three consecutive numbers is 2475. What is 35% of the smallest number?

(a) 251.6                                              

(b) 288.4            

(c) 308.4                                              

(d) 296.8        

                    

6. The product of three consecutive even numbers is 2688. What is five times the second number?

(a) 80                                    

(b) 100                

(c) 60                                    

(d) 70          

         

7. The sum of the ages of 4 members of a family 5 years ago was 106 years. Today when the daughter has been married off and replaced by a daughter in law, the sum of their ages is 108. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and the daughter in law?

(a) 22 years                        

(b) 11 years       

(c) 25 years                        

(d) 18 years        

               

8. When X is subtracted from the numbers 10, 14 and 20, the remainders are in continued proportion. What is the value of X?

(a) 2                       

(b) 1                     

(c) 4                       

(d) 5              

       

9. A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the probability that they are of the same colour?

(a) 41/190                          

(b) 21/190        

(c) 59/190                          

(d) 99/190   

                     

10. A and B together can complete a task in 4 days. B and C together can complete the same task in 6 days. A and C together can complete the same task in 8 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?

(a) 5 : 3                                 

(b) 5 : 1                               

(c) 3 : 5                                 

(d) 1 : 5               

Directions (11-15): Study the following table carefully and answer the questions given below.

Number of employees working in four different companies in three different years.

Companies	2009		2010		2011
	M	F	M	F	M	F
A	75	125	172	100	92	125
B	250	184	276	210	320	220
C	373	345	352	360	360	370
D	284	286	296	290	305	300
E	194	116	200	170	197	176

11. What is the total number of male employees in Company C over the years?

(a) 1085                                             

(b) 1075             

(c) 2160                                             

(d) 1058                             

12. What is the total number of Employees across the cities in the year 2011?

(a) 2456                                             

(b) 2645                             

(c) 2465                                             

(d) 4930       

                     

13. What is the difference between the total number of female employees across the companies in the year 2010 and the year 2009?

(a) 64                                  

(b) 54                   

(c) 44                                  

(d) 74               

    

14. What is the respective ratio of employee of Company D in the year 2009 to the employees of the same company in the year 2011?

(a) 305 : 232                    

(b) 114 : 121     

(c) 232 : 305                   

(d) 121 : 114     

15. The number of female employees in company C in 2010 is how much percent more than the number of female employees in company D in 2011?

(a) 50/3                                             

(b) 25

(c) 20 

(d) 20/3

Answers:

1. (a)

Let the total amount be x.

C’s original share = 3x / 6 = x / 2

C’s new share = 2x / 9

Now

(x / 2) – (2x / 9) = 60

x = 216

2. (d)

Gaurav’s marks in A = 83

Gaurav’s marks in B = 75% of 120 = 90

Now

(83 + 90 + x) / 360 * 100 = 80

x = 115

3. (c)

No. of erasers > No of pencils > No of pens

Possible combinations

Erasers = 11, Pencils = 8, Pens = 7 

OR

Erasers = 10, Pencils = 9, Pens = 7

4. (c)

Let the shares of A and B be 5x and 6x. Now

5x + 6x = 31394

x = 2854

Required difference = (3 * 5)x – (2 * 6)x = 3x = 8562  

5. (b)

Let the numbers be x, x + 1 and x + 2. Now

x + (x + 1) + (x + 2) = 2475

x = 824

Required number = 35% of 824 = 288.4

6. (d)

Let the three numbers be x, x+2 and x+4. Now

x * (x + 2) * (x + 4) = 2688

x = 12

So the numbers are 12, 14 and 16.

Required number = 5 * 14 = 70

7. (d)

Sum of the ages of 4 members 5 years ago = 106 years

Sum of the ages at present if there was no change in family = 106 + 5 * 4 = 126

Sum of the ages after the daughter is replaced by daughter-in-law = 108

Difference in the age of the daughter and the daughter in law = 126 – 108 = 18

8. (a)

(10 – x) / (14 - x) = (14 - x) / (20 - x)

x = 2

9. (d)

Required probability =

10. (d)

Let the work to be done = 24 units

Work done by A and B in one day = 6 units

Work done by B and C in one day = 4 units

Work done by A and C in one day = 3 units

Work done by all three (A, B and C) in two days = 6 + 4 + 3 =13 units

Work done by all three (A, B and C) in one day = 13/2 = 6.5 units

Work done by A alone in one day = 6.5 – 4 = 2.5 units

Work done by C alone in one day = 6.5 – 6 = 0.5 units

Ratio of efficiencies of A and C = 2.5 : 0. 5 = 5 : 1

Ratio of time taken by them to complete the work alone = 1 : 5

11. (a)  

Required sum = 373 +352+ 360 = 1085

Companies	2009		2010		2011
	M	F	M	F	M	F
A	75	125	172	100	92	125
B	250	184	276	210	320	220
C	373	345	352	360	360	370
D	284	286	296	290	305	300
E	194	116	200	170	197	176

12. (c)

Required sum = 92 +320 + 360 +305 + 197 +125 +220 + 370 +300 + 176 =2465

13. (d)

Total number of females in 2009 = 125 + 184 + 345 + 286 + 116 = 1056

Total number of females in 2010 = 100 + 210 + 360 + 290 + 170 = 1130

Required difference = 1130 – 1056 = 74

14. (b) 

Required ratio = (284+286) : (305 + 300) = 114 : 121

15. (c) 

Required percentage = (360 - 300) / 300 * 100 = 20%