 # NIACL AO Generalist Quantitative Aptitude

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# NIACL AO Generalist Quantitative Aptitude

### Introduction

NIACL AO 2018-19 - Main Examination for Generalist, conducted in online Mode, has: a duration of 2 hours, a maximum score of 200 marks and consists of 4 sections, namely - Reasoning, English Language, General Awareness and Quantitative Aptitude. There is a Negative marking in NIACL AO Main exam and 0.25 marks are deducted for each wrong answer. Candidates must clear the cut-off in all the sections to qualify for the next stage. The below sections gives the detailed information about NIACL AO Generalist Quantitative Aptitude Main Exam.

### Pattern

S.No. Name of Test (not in sequence) Type of test Maximum Marks Medium of Exam Duration
1 Test of Reasoning Objective 50 English/ Hindi 120 min
2 Test of English Language Objective 50 English
3 Test of General Awareness Objective 50 English/ Hindi
4 Test of Quantitative Aptitude Objective 50 English/ Hindi
Total (Aggregate) 200

The NIACL AO Generalist Quantitative Aptitude Main Exam, has the objective questions with 50 marks. Below mentioned are the different categories of expected questions in the Main Exam of NIACL AO Generalist Quantitative Aptitude Section.

### Samples

Directions ( 1- 5): What approximate value should come in place of the question mark(?) in the following question ? (Note that you are not expected to calculate the exact value).
1. 125.009 + 69.999 + 104.989 = ?

A. 420 B. 300 C. 285 D. 415

2. 16.003 x 27.998 - 209.010 = ?

A. 150 B. 200 C. 75 D. 240

3. 840.003 ÷ 23.999 = ?

A. 47 B. 8 C. 35 D. 18

4. 6885.009 - 419.999 - 94.989 = ?

A. 6650 B. 6830 C. 6370 D. 6200

5. 503 x 201 = ?

A. 101100 B. 1000000 C. 110000 D. 100003

1. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done ?

A. 564 B. 645 C. 735 D. 756 E. None of these

2. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together ?

A. 360 B. 480 C. 720 D. 5040 E. None of these

3. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?

A. 810 B. 1440 C. 2880 D. 50400 E. 5760

4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

A. 210 B. 1050 C. 25200 D. 21400 E. None of these

5. In how many ways can the letters of the word 'LEADER' be arranged ?

A. 72 B. 144 C. 360 D. 720 E. None of these

1. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs ?

A. 6.25 B. 6.5 C. 6.75 D. 7

2. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500 ?

A. Rs. 4991 B. Rs. 5991 C. Rs. 6001 D. Rs. 6991

3. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?

A. 0 B. 1 C. 10 D. 19

4. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?

A. 76 kg B. 76.5 kg C. 85 kg D. Data inadequate

5. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ?

A. 23 years B. 24 years C. 25 years D. None of these

1. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child ?

A. 4 years B. 8 years C. 10 years D. None of these

2. A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was: ?

A. 14 years B. 19 years C. 33 years D. 38 years

3. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B ?

A. 7 B. 8 C. 9 D. 10

4. Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years ?

A. 24 B. 27 C. 40 D. Cannot be determined

5. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is ?

A. 14 years B. 18 years C. 20 years D. 22 years

1. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is ?

A. 15 B. 16 C. 18 D. 25

2. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

A. 30% B. 70% C. 100% D. 250%

3. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20% ?

A. 3 B. 4 C. 5 D. 6

4. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit ?

A. Rs. 2000 B. Rs. 2200 C. Rs. 2400 D. Data inadequate

5. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit ?

A. Rs. 18.20 B. Rs. 70 C. Rs. 72 D. Rs. 88.25

1. The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas ?

A. 81 : 121 B. 9 : 11 C. 729 : 1331 D. 27 : 121 E. None of these

2. Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?

A. 25 sq.m B. 360 sq.m C. 720 sq.m D. 480 sq.m E. None of these

3. The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units ?

A. 140 B. 156 C. 175 D. 214 E. None of these

4. An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases. ?

A. 4 : 3 B. 8 : 7 C. 4 : 1 D. 6 : 5 E. None of these

5. The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions. ?

A. 252 m B. 704 m C. 352 m D. 808 m E. None of these

1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is ?

A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7

2. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share ?

A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

3. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A. 2 : 3 : 4 B. 6 : 7 : 8 C. 6 : 8 : 9 D. None of these

4. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is ?

A. 20 litres B. 30 litres C. 40 litres D. 60 litres

5. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?

A. 8 : 9 B. 17 : 18 C. 21 : 22 D. Cannot be determined

1. The centre Railways of this Division has developed the AI-powered robot named USTAAD to check for faults in trains. ?

A. Nagpur Division B. Mumbai Division C. Vaadodara Division D. Jaipur Division Answer: Option A

2. Union Ministry for Electronics and Information Technology has announced draft rules of __________ to end the complete encryption system to trace 'unlawful' activities for better national security. ?

A. Cyber Encryption (Updating) Rules 2018 B. Information Security (Amendment) Rules 2018 C. Information Technology (Intermediary Guidelines) Rules 2018 D. Software Encryption (Restriction) Rules 2018

3. This ministry signs MoU to Develop A Mobile Audio Guide App For 5 Iconic Sites. ?

A. Ministry of Electronics and Information Technology B. Ministry of Communications and Information Technology C. Ministry of Road Transport and Highways D. Minister of State for Tourism

4. SPJIMR hosted the 12th Annual Indian Subcontinent Decision Sciences Institute (ISDSI). The theme of this international conference is ?

A. To disseminate knowledge and share experience in dealing with advances in business and management B. Advanced and Emerging Applications C. Data-Driven Decision Making in the Digital Age D. Challenges in business management amidst fast changing environmental concerns.

5. Who organised a Swachch Bharat Grand Challenge in New Delhi, recently ?

A. NITI Aayog B. DIPP C. SEBI D. CII

1. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest:

A. 3% B. 4% C. 5% D. 6%

2. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes ?

A. 10% B. 10.25% C. 10.5% D. None of these

3. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is ?

A. Rs. 400 B. Rs. 500 C. Rs. 600 D. Rs. 800

4. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is ?

A. 6.06% B. 6.07% C. 6.08% D. 6.09%

5. Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?

A. Rs. 8600 B. Rs. 8620 C. Rs. 8820 D. None of these

1. Look at this series: 58, 52, 46, 40, 34, ... What number should come next:

A. 26 B. 28 C. 30 D. 32

2. Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?

A. 7 B. 10 C. 14 D. 15

3. Look at this series: 8, 22, 8, 28, 8, ... What number should come next?

A. 9 B. 29 C. 32 D. 34

4. Look at this series: 31, 29, 24, 22, 17, ... What number should come next?

A. 15 B. 14 C. 13 D. 12

5. Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?

A. 4.2 B. 4.4 C. 4.7 D. 5.1

Directions for Questions (1 – 5): Study the following table carefully to answer the questions that follow. The table shows the income and expenditure in lakhs of A and B in five different years. Note- profit = Income - expenditure.
Profit% = $\frac{profit} {expenditure}$
Year Income Expenditure
A B A B
2011 510 - - 375
2012 550 500 465 -
2013 - - 370 380
2014 580 590 490 490
2015 515 - - 495

1. If the percentage profit of A in year 2011 is 20% then his expenditure is by how much percent (approximately) more or less than that of A in year 2014?
A. 11% more B. 18% less C. 8% less D. 13% less E. 22% more

Explanation:
Expenditure of A in 2011 = $\frac{510} {1.2}$= 425 lakh
∴ Required percentage = $\frac{490 - 425} {420}$ x 100 ≈ 13% less
2. In year 2014, A expended 10 lakh more than B. Find what is the approximate percentage profit of B in the same year?
A. 23% B. 25% C. 35% D. 20% E. 27 %

Explanation:
Required percentage profit = $\frac{590 - 480} {480}$ x 100 ≈ 23%
3. What was the average income amount (in lakh) of A and B together in year 2013 if percentage profit earned by A was 16% and that of B was 17%?
A. 76$\frac{7} {7}$% B. 68$\frac{4} {7}$% C. 87$\frac{4} {7}$% D. 78$\frac{4} {7}$% E. 74$\frac{4} {7}$%

Explanation:
Income of A in 2013 = $\frac{16 x 730} {100}$ + 370 = 429.2 lakh
Income of B in 2013 = $\frac{17 x 380} {100}$ + 380 = 446.2 lakh
∴ Average income = $\frac{873.8} {2}$ = Rs. 436.9 lakh
4. If cost price of one Quant book, one Reasoning book and one English book is Rs. 150, Rs. 120 and Rs. 100 respectively then total selling price of these three books in Rajasthan is what percent more or less than the total selling price of these three books in Haryana (Nearest integer)?
A. 6% more B. 6% less C. 8% less D. 8% more E. 4% less

Required percentage = $\frac{515 - 30} {550}$ x 100 ≈ 86%
5. What is the average number of Reasoning books sold in five states together?
A. 20,000 B. 25,000 C. 18,000 D. 20,500 E. 22,000

Required percentage = $\frac{550 - 90} {90}$ x 100 ≈ 511%
1.A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed ?
A. 30 birds B. 60 birds C. 72 birds D. 90 birds

2. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
A. 10 B. 35 C. 62.5 D. Cannot be determined

3. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
A. 160 B. 175 C. 180 D. 195

4. Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?
A. 256 B. 432 C. 512 D. 640

5. A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be?
A. 22 B. 23 C. 24 D. 26

1. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
A. 3 : 5 : 2 B. 3 : 5 : 5 C. 6 : 10 : 5 D. Data inadequate

2. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
A. Rs. 45 B. Rs. 50 C. Rs. 55 D. Rs. 60

3. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A. Rs. 7500 B. Rs. 9000 C. Rs. 9500 D. Rs. 10,000

4. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A. 4 months B. 5 months C. 6 months D. 8 months

5. Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
A. 7 : 6 : 10 B. 12 : 15 : 16 C. 42 : 45 : 56 D. Cannot be determined

1. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in ?
A. 4 days B. 6 days C. 8 days D. 12 days

2. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
A. 30 days B. 40 days C. 60 days D. 70 days

3. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in ?
A. 8 days B. 10 days C. 12 days D. 15 days

4. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work ?
A. 18 days B. 24 days C. 30 days D. 36 days

5. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
A. 6 days B. 10 days C. 15 days D. 20 days

1. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 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. 150 E. 100

2. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B?
A. 2 : 3 B. 1 : 1 C. 3 : 4 D. 4 : 3

3. 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

4. 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%

5. Two tailor’s X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A. Rs. 200 B. Rs. 250 C. Rs. 300 D. None of these

1. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
A. 1 hour B. 2 hours C. 3 hours D. 4 hours

2. A man completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.?
A. 220 km B. 224 km C. 230 km D. 234 km

3. The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is?
A. 70 km/hr B. 75 km/hr C. 84 km/hr D. 87.5 km/hr

4. 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. 36 km/hr C. 71.11 km/hr D. 71 km/hr

A. $\frac{17} {6}$ km/hr B. 25 km/hr C. 30 km/hr D. 35 km/hr