 # NIACL AO Specialist Quantitative Aptitude

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# NIACL AO Specialist Quantitative Aptitude

### Introduction

NIACL AO 2018-19 - Main Examination for Specialist, conducted in online Mode, has: a duration of 2 hours, a maximum score of 200 marks and consists of 5 sections, namely - Reasoning, English Language, General Awareness, Quantitative Aptitude and Specialist Stream (Professional knowledge). 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 Specialist 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 40 English/ Hindi 120 min
2 Test of English Language Objective 40 English
3 Test of General Awareness Objective 40 English/ Hindi
4 Test of Quantitative Aptitude Objective 40 English/ Hindi
5 In Specialist stream, an additional test to assess technical & professional knowledge in the relevant discipline Objective 40 English/ Hindi
Total (Aggregate) 200

The NIACL AO Specialist Quantitative Aptitude Main Exam, has the objective questions with 40 marks. Below mentioned are the different categories of expected questions in the Main Exam of NIACL AO Specialist 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. 36.98276421 x 21.00002 = ?

A. 775 B. 785 C. 800 D. 805

2. 14.995 x 8.001 x 20.991 = ?

A. 1950 B. 2520 C. 2200 D. 1520

3. 26.823 x 27.923 x 4.5001 = ?

A. 3500 B. 3450 C. 3100 D. 3400

4. 3739 + 164 x 27 = ?

A. 105400 B. 4000 C. 8200 D. 690

5. 21 + 3.7 x 2.9 = ?

A. 74 B. 70 C. 27 D. 32

1. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

A. 159 B. 194 C. 205 D. 209 E. None of these

2. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A. 5 B. 10 C. 15 D. 20 E. None of these

3. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

A. 266 B. 5040 C. 11760 D. 86400 E. None of these

4. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

A. 32 B. 48 C. 64 D. 96 E. None of these

5. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

A. 32 B. 48 C. 36 D. 60 E. 120

1. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is: ?

A. 3500 B. 4000 C. 4050 D. 5000

2. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:?

A. 35 years B. 40 years C. 50 years D. None of these

3. A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

A. Rs. 7.98 B. Rs. 8 C. Rs. 8.50 D. Rs. 9

4. In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn't not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

A. 67 kg. B. 68 kg. C. 69 kg. D. Data inadequate

5. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:?

A. 17 kg B. 20 kg C. 26 kg D. 31 kg

1. Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present ?

A. 6 years B. 18 years C. 20 years D. Cannot be determined

2. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?

A. 12 years B. 14 years C. 18 years D. 20 years

3. At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

A. 12 years B. 15 years C. 19 and half D. 21 years

4. Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

A. 16 years B. 18 years C. 28 years D. 24.5 years

5. The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).?

A. 8, 20, 28 B. 16, 28, 36 C. 20, 35, 45 D. None of these

1. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle ?

A. Rs. 1090 B. Rs. 1160 C. Rs. 1190 D. Rs. 1202

2. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

A. 3.5 B. 4.5 C. 5.6 D. 6.5

3. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is?

A. Rs. 45 B. Rs. 50 C. Rs. 55 D. Rs. 60

4. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A. Rs. 21,000 B. Rs. 22,500 C. Rs. 25,300 D. Rs. 25,800

5. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is?

A. No profit, no loss B. 5% C. 8% D. 10%

1. The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire ?

A. 2 : 5 B. 1 : 5 C. 3 : 5 D. 4 : 5 E. None of these

2. A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

A. 45 cm B. 18 cm C. 90 cm D. 180 cm E. None of these

3. The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.?

A. 4192 sq m B. 4304 sq m C. 4312 sq m D. 4360 sq m E. None of these

4. A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?

A. 3.34 B. 2 C. 4.5 D. 5.5 E. 5

5. The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?

A. 77.14 cm B. 47.14 cm C. 84.92 cm D. 94.94 cm E. 23.57 cm

1. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary ?

A. Rs. 17,000 B. Rs. 20,000 C. Rs. 25,500 D. Rs. 38,000

2. If 0.75 : x :: 5 : 8, then x is equal to?

A. 1.12 B. 1.2 C. 1.25 D. 1.30

3. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is?

A. 20 B. 30 C. 48 D. 58

4. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

A. 23 : 3 : 10 B. 10 : 11 : 20 C. 23 : 33 : 60 D. Cannot be determined

5. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

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

1. Madhya Pradesh State government has declared this wildlife sanctuary as a national park, recently.?

A. Nauradehi Wildlife Sanctuary B. Karera Wildlife Sanctuary C. Kuno Wildlife Sanctuary D. Gandhi Sagar Sanctuary

2. The 7th National Photography Awards 2019 was organised by the ministry of __________.?

A. Ministry of Communications and Information Technology B. Ministry of Information and Broadcasting C. Ministry of Human Resource Development D. Ministry of Corporate Affairs

3. PM Narendra Modi inaugurated 4.94-kilometer long bridge in Assam recently, It was named as?

A. Naranarayan Setu B. Bogibeel bridge C. Kolia Bhomora Setu D. Jubilee Bridge

4. Mission Indradhanush was launched for a targeted approach to immunization in India. It was related with __________.?

A. Female infanticide B. Child Vaccination C. Rural Development D. Higher Education

5. Sahitya Kala Parishad, Government of Delhi and this department organized the sixth edition of five-day long Yuva Natya Samaroh at New Delhi.?

A. Department of Agriculture and Co-operation B. Department of Art, Culture and Languages C. Department of Fertilizers D. Department of Information Technology

1. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

A. Rs. 650 B. Rs. 690 C. Rs. 698 D. Rs. 700

2. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

A. Rs. 6400 B. Rs. 6500 C. Rs. 7200 D. Rs. 7500

3. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

A. Rs. 4462.50 B. Rs. 8032.50 C. Rs. 8900 D. Rs. 8925

4. How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

A. 3.5 years B. 4 years C. 4.5 years D. 5 years

5. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is?

A. Rs. 1550 B. Rs. 1650 C. Rs. 1750 D. Rs. 2000

1. Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next:

A. 7 B. 10 C. 12 D. 13

2. Look at this series: 36, 34, 30, 28, 24, ... What number should come next?

A. 20 B. 22 C. 23 D. 26

3. Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?

A. 22 B. 24 C. 25 D. 26

4. Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

A. 12 B. 14 C. 27 D. 53

5. Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?

A. 14 B. 15 C. 21 D. 23

Directions for Questions (1 – 5): The following table shows number of students who applied for the various posts for RRB India having different qualifications. Study the table carefully and answer the questions that follow.
Qualifications No. of students from various states
Bihar UP MP Gujarat Jharkhand Assam
10th - 25,000 8,500 - 7,200 8,400
12th 12,500 - 10,000 - - 9,200
10th + ITI 16,400 42,000 - 10,500 9,600 -
ITI + Diploma 24,000 54,600 16,400 12,000 12,400 -
Degree 32,000 72,500 24,600 16,500 14,400 12,400

1. If only 10th pass students are eligible for group-D exam then total number of students who applied for group-D exam from Bihar is what percent of total number of students who have qualification of degree from MP and Jharkhand together? It is given that total number of students from Bihar who applied for various posts in RRB is 95,500.
A. 13$\frac{12} {13}$% B. 26$\frac{12} {13}$% C. 24$\frac{12} {13}$% D. 22$\frac{12} {13}$% E. 23%

Explanation:
No. of students from Bihar having 10th qualification
= 95,500 – (12,500 + 16,400 + 24,000 + 32,100) = 10,500
∴ Required percentage
= $\frac{10,500} {24,600 + 14,400}$ x 100
= $\frac{10,500} {390}$
= $\frac{350} {13}$
= 26$\frac{12} {13}$%
2. If only degree holders are eligible for ALP post then find the average number of students who have applied for ALP post from all the states together.
A. 26,750 B. 28,450 C. 27,850 D. 28,750 E. 27,580

Explanation:
Required average number of students
= $\frac{1} {6}$ x (32,100 + 72,500 + 24,600 + 16,500 + 14,400 + 12,400)
= $\frac{1} {6}$ x 1,72,500
= 28,750
3. According to RRB, only those candidates who have qualification of both ITI & higher qualification can apply for the post of Technician then find the total number of students who has applied for the post of Technician from all the states together. It is given that the number of students who have (ITI + Diploma) qualification from Assam is 45% of number of students from Bihar having same qualifications as that of students from Assam.
A. 90,400 B. 87,500 C. 95,400 D. Can’t be determined E. 1,30,200

Explanation:
24000 + 54600 + 16400 + 12000 + 12400 + 45% of 24000 = 130200
4. If number of students having (10th + ITI) qualification from MP is 25% more than that from Assam having same qualification then total number of students having (10th + ITI) from these two states is what percent of total number of students having (10th + ITI) from all the six states together? It is given that total number of students from Assam having (10th + ITI) qualification is 10,000
A. 28$\frac{22} {101}$% B. 22$\frac{28} {101}$% C. 26$\frac{28} {101}$% D. 22$\frac{38} {101}$% E. 28$\frac{38} {101}$%

Explanation:
No. of students from MP and Assam together having (10th + ITI) qualification
10000 + $\frac{5} {4}$ x 10000 = 22,500
Total students from all the six states together having (10th + ITI) qualification
= 16,400 + 42,000 + 12,500 + 10,500 + 9,600 + 10,000 = 1,01,000
∴ Required percentage
= $\frac{22,500} {1,01,000}$ x 100
= 22$\frac{28} {101}$
5. If total number of students having 12th qualification from UP is 100% more than that from Gujrat and Jharkhand together having same qualification, then what is the total number of students having 12th qualification from U.P. It is given that the ratio of number of students from Gujrat and Jharkhand having 12th qualification is 8 : 7 and total number of students having 12th qualification from all the states is 85,700.
A. 36,000 B. 45,000 C. 24,000 D. 54,000 E. 32,000

Explanation:
Let no. of students from Gujrat and Jharkand having 12th qualification is 8x and 7x respectively.
8x + 7x + $\frac{200} {100}$ × (8x + 7x) + 12,500 + 10,000 + 9,200 = 85,700
⇒ x = 1,200
∴ Required answer = 1200 × 30 = 36,000
1. A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A. 45 B. 60 C. 75 D. 90

2. There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is
A. 20 B. 80 C. 100 D. 200

3. The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is
A. Rs. 3500 B. Rs. 3750 C. Rs. 3840 D. Rs. 3900

4. The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay
A. Rs. 1200 B. Rs. 2400 C. Rs. 4800 D. Cannot be determined

5. One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund
A. Rs. 30,000 B. Rs. 50,000 C. Rs. 60,000 D. Rs. 90,000

1. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is?
A. Rs. 1425 B. Rs. 1500 C. Rs. 1537.50 D. Rs. 1576

2. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
A. Rs. 1900 B. Rs. 2660 C. Rs. 2800 D. Rs. 2840

3. A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives
A. Rs. 8400 B. Rs. 11,900 C. Rs. 13,600 D. Rs. 14,700

4. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments
A. 5 : 7 : 8 B. 20 : 49 : 64 C. 38 : 28 : 21 D. None of these

5. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital
A. Rs. 7500 B. Rs. 8000 C. Rs. 8500 D. Rs. 9000

1. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A. 12 days B. 15 days C. 16 days D. 18 days

2. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C
A. Rs. 375 B. Rs. 400 C. Rs. 600 D. Rs. 800

3. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be
A. 4 days B. 5 days C. 6 days D. 7 days

4. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it
A. 8 hours B. 10 hours C. 12 hours D. 24 hours

5. A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
A. 15 days B. 20 days C. 25 days D. 30 days

1. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A. 45% B. 45 $\frac{5} {11}$% C. 54 $\frac{6} {11}$% D. 55%

Explanation: Number of runs made by running = 110 - (3 x 4 + 8 x 6) = 110 - (60) = 50. Required percentage = [$\frac{50} {110}$x 100] % = 45 $\frac{5} {11}$%
2. 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

3. 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

4. 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

5. If 20% of a = b, then b% of 20 is the same as
A. 4% of a B. 5% of a C. 20% of a D. None of these

1. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A. 3.6 B. 7.2 C. 8.4 D. 10

2. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of
A. 300 kmph B. 360 kmph C. 600 kmph D. 720 kmph

3. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is
A. 50 km B. 56 km C. 70 km D. 80 km

4. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is
A. 100 kmph B. 110 kmph C. 120 kmph D. 130 kmph