KRISHNA MOHAN

Wednesday, 11 October 2017

Quantitative Aptitude

Q1. Half the girls and one-third of the boys of a college reside in the hostel. What fractional part of the student body is hostel dwellers if the total number of girls in the college is 100 and is one-fourth of the total strength?

(a) Two-fifths

(b) Five-twelfths

(d) Three-eights

(e) None of these

Q2. The monthly incomes of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs. 50 a month, then what are their monthly incomes?

(a) Rs. 100, Rs. 125

(b) Rs. 200, Rs. 250

(d) Rs. 400, Rs. 500

(e) None of these

Q3. When a bus started from the first stop, the number of male passengers to the number of female passengers was 3 : 1. At the second stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now become 2 :1. What was the total number of passengers in the bus when it started from the first stop?

(a) 64

(b) 48

(d) 72

(e) 80

Q4. X’s income is three-fourths of Y’s income, and X’s expenditure is fourth-fifths of Y’s expenditure. If X’s income is nine-tenths of Y’s expenditure, find the ratio of X’s savings to Y’s savings.

(a) 1 : 2

(b) 2 : 1

(d) 2 : 3

(e) None of these

Q5. Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person’s speed to that of 1st escalator is 2 : 3 (steps). The ratio of 2nd person’s speed of that of 2nd escalator is 3 : 5 (steps). Find the total number of steps they both have taken together.

(a) 85

(b) 93

(d) 75

(e) None of these

Q6. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that a brown pair. While preparing the bill, the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50 per cent. The ratio of the number of black and brown pairs of socks in the original order was:

(a) 4 : 1

(b) 2 : 1

(d) 1 : 2

(e) None of these

Q7. Two companies A and B quote for a tender. On the tender opening day, A realizes that the two quotes are in the ratio 7 : 4 and hence decreases it price during negotiations to make it Rs. 1 lakh lower than B’s quoted price. B then realises that the final quotes of the two were in the ratio 3 :4. By how much did A decrease its price in order to win the bid?

(a) Rs. 7 lakhs

(b) Rs. 4 lakhs

(d) Rs. 8 lakhs

(e) None of these

Q8. A student is studying for a test from 11:00 am to 8:00 pm on weekdays and one-third of that on Saturdays. On Sundays he takes a break from school and goes fishing. For what fractional part of the entire week is the student studying?

(a) 2/5

(b) 3/7

(d) 3/8

(e) None of these

Q9. A sum of Rs. 430 has been distributed among 45 people consisting of men, women and children. The total amounts given to men, women and children are in the ratio 12 : 15 :16. But, the amounts received by each man, woman and child are in the ratio 6 : 5 : 4. Find, what each man, woman and child receives (in Rs.).

(a) 12, 10, 8

(b) 180, 150, 120

(d) 60, 75, 80

(e) None of these

Q10. The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?

(a) Rs. 750

(b) Rs. 850

(d) Rs. 1250

(e) None of these

Q11. Fresh grapes contain 90 per cent water by weight while dried grapes contain 20 per cent water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

(a) 2 kg

(b) 2.4 kg

(d) 3 kg

(e) None of these

Q12. In a certain company, the ratio of the number of managers to the number of production-line workers is 5 to 72. If 8 additional production-line workers were to be hired, the ratio of the number of managers to the production-line workers would be 5 to 74. How many managers does the company have?

(a) 10

(b) 20

(d) 25

(e) None of these

Q13. Mayank, Mirza, Little and Jaspal bought a motorbike for Rs. 60,000. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys, Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal has to pay?

(a) Rs. 15,000

(b) Rs. 13,000

(d) Rs. 16,000

(e) None of these

Q14. I have one rupee coins, fifty paise coins and twenty five paise coins. The number of coins is in the ratio 2.5 : 3 : 4. If the total amount with me is Rs. 210, find the number of one rupee coins.

(a) 90

(b) 85

(d) 105

(e) None of these

Q15. The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond.

(a) Rs 1.4 lakhs

(b) Rs 2 lakhs

(d) Rs. 2.1 lakhs

(e) None of these

Solutions

S1. Ans.(d)

Sol. Number of girls = 100

∴ Number of boys = 300

∴ Number of hostel dwellers = 50 + 100 = 150

⇒ Required ratio = 150 : 400

=3∶8=3/8

S2. Ans.(d)

Sol. Let the incomes of the two persons be 4I and 5I respectively

Let the expenditure of the two persons be 7E and 9E respectively.

∴ 4I - 7E = 50 and 5I - 9E = 50

⇒ 20I - 35E = 250

20I - 36E = 200

E = 50 and I = 100

∴ Monthly incomes of the two persons are Rs.400 and Rs. 500 respectively.

S3. Ans.(a)

Sol. Let, initially, the number of males and females in the bus be 3x and x respectively.

At the first stop, suppose m males and f females left the bus.

∴ At the first stop: Number of the males is 3x - m

And number of females

∴ f = 4, x = 16

∴ Total number of passengers in the beginning

= 4x = 64

For no other value of f any of the other alternatives holds good.

S4. Ans.(a)

Sol. Let X’s income be 3k then Y’s income is 4k. Let X’s expenditure be 4g then Y’s expenditure is 5g.

S6. Ans.(c)

Sol. Let x pairs brown socks were ordered

Let p be the price of a brown pair

∴ 2p is the price of a black pair

∴ (2p × 4 + px) + 50% of (2p × 4 + px)

= 2p × x + 4p

⇒ x = 16

∴ Required ratio = 1 : 4

S7. Ans.(b)

Sol. Let the quotes of A and B be 7X and 4X, respectively.

After decreasing, quotes of A = 4x - 1

Then, we are given

⇒ X = 1

Then, decreasing by A = 7X - (4X - 1)

= 3x + 1 = 3 + 1

= Rs. 4 lakhs

S8. Ans.(c)

Sol. Student studies for 9 hrs from 11 am to 8 pm on Monday to Friday

Also, be studies 1/3rd of the time on Sunday i.e. 1/3×9=3h

Total hours, he studied during the week

= 5 × 9 + 3 = 45 + 3 = 48h

Total hours, in a week = 24 × 7 = 168

∴ Required fraction

=48/168=2/7

S9. Ans.(a)

Sol. Ratio of personal shares = 6 : 5 : 4

Ratio of the amounts = 12 : 15 : 16

Ratio of men, women and children

=12/6 ∶15/5 ∶16/4

= 2 : 3 : 4

Sum of these ratios = (2 + 3 + 4) = 9

Number of men =((45 × 2)/9)=10

Number of women =((49 × 3)/9)=15

And, the number of children = 45 - (10 + 15) = 20

Now, dividing Rs. 430 in the ratio = 12 : 15 : 16

Total amount of men’s share

= Rs. ((430 × 12)/43)

= Rs. 120

Total amount of women’s share

= Rs. ((430 × 15)/43)

= Rs. 150

Total amount of children’s share

= Rs. [430 - (120 + 150)]

= Rs. 160

∴ Each man’s share = Rs. (120/10)=Rs.12

Each woman’s share = Rs. (150/15)= Rs. 10

Each child’s share = Rs. (160/20) = Rs. 8

S10. Ans.(d)

Sol. Ratio of the amount collected from the 1st class and the 2nd class passengers = 3 : 50

∴ Amount collected from the 2nd class passengers

=50/53×1325 = Rs. 1250.

S12. Ans.(b)

Sol. According to question,

5x/(72x + 8)=5/74

⇒ x = 4

Managers = 5 × 4 = 20

S13. Ans.(b)

Sol. Mayank paid 1/2 of the sum paid by other three.
Let the other three paid Rs. x jointly, then Mayank paid x/2

So, x+x/2=60,000 ⇒ x = 40,000.

Hence, Mayank paid = Rs. 20,000

Likewise, Mirza and Little paid Rs. 15,000 and Rs. 12,000 respectively.

Hence, the amount paid by Jaspal is
Rs. [60,000 - (20,000 + 15,000 + 12,000)] = Rs. 13,000

S14. Ans.(d)

Sol. Ratio of number of one rupee, fifty paise, and twenty five paise coins = 2.5 : 3:4

∴ Ratio of value of coins =2.5×1∶3/2 ∶4/4=5∶3∶2

Let, amount of Rs 1, 50 paise and 25 paise coins be 5x, 3x and 2x respectively.

So, 5x + 3x + 2x = 210 (given) ⇒ x = 21

∴ Value of one rupee coins

= number of one rupee coins = 21 × 5 = 105

Current Affairs

Q1. The first ever ASEAN-India music festival organized by the Ministry of External Affairs has begun recently in _____________.

(a) Bhubaneswar

(b) Chennai

(d) Kolkata

(e) Chandigarh

S1. Ans.(c)

Sol. The first ever ASEAN-India music festival began at Purana Quila in New Delhi. The 3-day festival is being organised by the Ministry of External Affairs, Government of India in collaboration with Culture Ministry to celebrate the 25th year anniversary of ASEAN-India Dialogue Relations.

Q2. Name the lender that has recently entered into an MoU with Hindustan Petroleum Corporation Ltd (HPCL) for enabling all HPCL retail outlets with BHIM/UPI merchant solutions.

(a) ICICI Bank

(b) IndusInd Bank

(d) Syndicate Bank

(e) Vijaya Bank

S2. Ans.(e)
Sol. Vijaya Bank has entered into an MoU with Hindustan Petroleum Corporation Ltd (HPCL) for enabling all HPCL retail outlets with BHIM/UPI merchant solutions. This rollout will empower all petrol pump attendants and LPG delivery personnel to accept digital payments.

Q3. Under which program, MoU was signed by Uttar Pradesh, Arunachal Pradesh and Meghalaya to boost cultural ties?

(a) Naveen Yug, Naya Bharat

(b) Ek Bharat, Shrestha Bharat

(d) Ek Bharat, Adhunik Bharat

(e) Ek Shrestha Adhunik Bharat

S3. Ans.(b)
Sol. An MoU was signed by Uttar Pradesh, Arunachal Pradesh and Meghalaya under the ‘Ek Bharat, Shrestha Bharat’ program, to boost cultural ties. Under the program, the states will connect with each other to know more about the culture, heritage and traditions of each other.

Q4. The First Meeting of India-Australia Joint Steering Committee was held recently in _______________.

(a) New Delhi

(b) Chandigarh

(d) Bangalore

(e) Chennai

S4. Ans.(a)
Sol. The First Meeting of India-Australia Joint Steering Committee was held in New Delhi. Shri TVSN Prasad, Additional Secretary, Ministry of Home Affairs and Mr. Stephen Bouwhuis, First Assistant Secretary, International and Auscheck Division, Criminal Justice Group, Attorney-General's Department led the respective delegations. This meeting was a follow-up to the MoU on Cooperation in Combating International Terrorism and Transnational Organized Crime exchanged between the two sides during the visit of Australian Prime Minister Mr. Malcolm Turnbull to New Delhi in April 2016.

Q5. India and European Investment Bank (EIB) have recently signed the finance contract for lending of 300 million euros (about Rs 2,293 crore) for Bangalore Metro Rail Project phase-II. The EIB headquarters in _______________.

(a) Geneva

(b) Luxembourg

(d) Jakarta

(e) Singapore

S5. Ans.(b)
Sol. India and European Investment Bank (EIB) signed the finance contract for lending of 300 million euros (about Rs 2,293 crore) for Bangalore Metro Rail Project phase-II. Bangalore Metro Rail Project Phase II is to be jointly financed by the EIB (500 million euros) and Asian Infrastructure Investment Bank (300 million euros). Werner Hoyer is the President of European Investment Bank. It headquarters in Luxembourg.

Q6. Name the platform for property buyers & sellers that has recently announced the launch of India's first online bidding platform for residential and commercial properties and tied-up with developer M3M for the inaugural 'My Bid, My Home' program.

(a) ReValue8

(b) PropertySpark

(d) OLX

(e) Property Nation

S6. Ans.(c)
Sol. Magicbricks announced the launch of India's first online bidding platform for residential and commercial properties and tied-up with developer M3M for the inaugural 'My Bid, My Home' under which consumers can bid for ready-to-move-in residential properties in Gurugram.

Q7. Name the Australian pacer who has recently retired from Test Match and ODIs citing recurring injuries as the reason.

(a) Peter Handscomb

(b) Doug Bollinger

(d) John Hastings

(e) Ryan Harris

S7. Ans.(d)
Sol. Australian fast bowler John Hastings has called it quits from Test Match and ODIs, citing recurring injuries as the reason. The 31-year-old wants to solely focus on T20 cricket. He has represented Australia in one test, 29 ODIs and 9 T20Is.

Q8. In which of the following city, Indian Space Research Organization (ISRO) will set up a research centre for startups, academicians, environmentalists and entrepreneurs?

(a) Guwahati

(b) Chennai

(d) Dispur

(e) Gangtok

S8. Ans.(a)
Sol. The Indian Space Research Organization (ISRO) will set up a research centre in Guwahati, Assam for start ups, academicians, environmentalists and entrepreneurs.

Q9. Name the Former Union minister and socialist leader who passed away recently due to age-related ailments.

(a) Sultan Ahmad

(b) CN Annadurai

(d) Barkatullah Khan

(e) Purushottam Lal Kaushik

S9. Ans.(e)
Sol. Former Union minister and socialist leader Purushottam Lal Kaushik died due to age-related ailments at his home in Chhattisgarh's Mahasamund district. He was 87.

Q10. Which among the following is the first law firm to have opened an office at Gujarat International Finance Tec-City (GIFT)?

(a) Khaitan & Co

(b) J Sagar Associates

(d) S&R Associates

(e) Desai & Diwanji

S10. Ans.(b)
Sol. J Sagar Associates (JSA) is the first law firm to have opened an office at Gujarat International Finance Tec-City (GIFT). Setting up this office would help JSA consolidate their Financial Services Practice. The office was inaugurated by Sudhir Mankad - Chairman of GIFT IFSC.

Q11. Name the Veteran director best known for the dark comedy passed away recently.

(a) Bimal Roy

(b) Ritwik Ghatak

(d) Shyam Benegal

(e) Ketan Mehta

S11. Ans.(c)
Sol. Veteran director Kundan Shah, best known for the dark comedy Jaane Bhi Do Yaaro, passed away at his home, family sources said. He was 69.

Q12. Name the present chairman of the largest public sector bank, the State Bank of India (SBI).

(a) Arundhati Bhattacharya

(b) Rajesh Prasad

(d) Rajnish Kumar

(e) Raj Roshan

S12. Ans.(d)
Sol. Rajnish Kumar took over as the chairman of the largest public sector bank, the State Bank of India (SBI). He has replaced Arundhati Bhattacharya. She had completed her one-year extended term.

Q13. The GST council has decided to reduce the GST rates on dried mangoes, Khakhra, plain chapatis, unbranded Namkeen, unbranded ayurvedic medicines and paper wastes to _____________.

(a) 5 percent

(b) 15 percent

(d) 18 percent

(e) 27 percent

S13. Ans.(a)
Sol. The council has decided to reduce the GST rates on dried mangoes, Khakhra, plain chapatis, unbranded Namkeen, unbranded ayurvedic medicines and paper wastes to 5 percent from 12 percent.

Q14. Prime Minister Narendra Modi has recently laid the foundation stone of a four-lane cable-stayed bridge between Okha and Beyt Dwarka. The bridge is situated in _____________.

(a) Madhya Pradesh

(b) Maharashtra

(d) Odisha

(e) Assam

S14. Ans.(c)
Sol. Prime Minister Narendra Modi laid the foundation stone of a four-lane cable-stayed bridge between Okha and Beyt Dwarka, Gujarat. The bridge is a link between old and new Dwarka. The 2.32 km bridge, including 900 metres of central double span cable-stayed portion, will be constructed at a cost of Rs. 962.43 crore.

Q15. The Indian Air Force (IAF) has celebrated its 85th anniversary on ____________.

(a) 18 October

(b) 12 October

(d) 10 October

(e) 08 October

S15. Ans.(e)
Sol. The Indian Air Force (IAF) has celebrated its 85th anniversary on 08th October 2017. The celebrations were marked by a stellar show in the skies by various aircraft at the Hindon Air Force Station in Ghaziabad. President Ram Nath Kovind has greeted the Indian Air Force on its 85th Anniversary.

Quantitative Aptitude

Directions (1-5): Study the following table carefully to answer the questions.

Percentage of marks obtained by six students in six subjects
Subjects	History	Geography	Maths	Science	English	Hindi
Maximum marks	75	75	100	150	50	60
Students Percentage
A	82	66	59	76	62	65
B	76	72	65	84	74	75
C	56	78	71	66	86	70
D	64	80	68	72	66	80
E	48	68	83	88	56	60
F	60	74	79	64	80	85

Q1. What are the average marks obtained by all the students in Science out of 150?

(a) 75

(b) 112.50

(d) 78

(e) None of these

Q2. What are the average marks obtained by all students in Geography?

(a) 54.25

(b) 54.75

(d) 71

(e) None of these

Q3. What is the ratio between total marks obtained by D in Maths, Science and English together and the total marks obtained by F in these subjects together respectively?

(a) 209 : 215

(b) 215 : 209

(d) 223 : 206

(e) None of these

Q4. Marks obtained by C in Science are approximately what per cent of his total marks obtained in all the six subjects together?

(a) 22

(b) 16

(d) 18

(e) 28

Q5. What are the total marks obtained by B in all the subjects together?

(a) 336

(b) 223

(d) 273

(e) None of these

Directions (6-10): Study the following graph carefully to answer these questions.

Population of two states (in lakhs) over the year

Q6. Population of state B in 2002 is what per cent of the total population of State B in all the years together? (rounded off to two digits after decimal)

(a) 8.26

(b) 7.26

(d) 7.82

(e) None of these

Q7. What is the ratio between the total population of State A for the years 2001, 2002 and 2003 together and the total population of State B for the years 2005, 2006 and 2007 together respectively?

(a) 27 : 53

(b) 54 : 59

(d) 53 : 27

(e) None of these

Q8. For which state and in which year the per cent rise in population form the previous year was the highest?

(a) State B 2003

(b) State B 2002

(d) State A 2005

(e) None of these

Q9. What is the per cent rise in population of State B from 2003 to 2004?

Q10. Approximately what is the average population of State A for all the given years?

(a) 65 lakhs

(b) 50 lakhs

(d) 58 lakhs

(e) 52 lakhs

Directions (11-15): What will come in place of question mark (?) in the following questions?

(a) 40

(b) 25

(d) 30

(e) 20

Q12. (25% of 780 + 35% of 640) ÷ 4 = ?

(a) 108.25

(b) 104.75

(d) 114.25

(e) 110.75

(a) 32

(b) 38

(d) 48

(e) 54

(a) 18

(b) 21

(d) 28

(e) None of these

Q15. 76% of 1285 = 35% of 1256 + ?

(a) 543

(b) 537

(d) 533

(e) None of these

Solutions

S7. Ans.(c)
Sol. Required ratio
= (40 + 45 + 60) : (80 + 90 + 100)
= 145 : 270 = 29 : 54

S8. Ans.(a)
Sol. It is clear from the graph that for state B is year 2003 the per cent rise populations from the previous year was the highest.