QUANTITATIVE REASONING: PRACTICE QUESTIONS

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Choose the correct answer from the given options. Find answers and solutions to the questions at the bottom of the page.

11. What are values of  and y in the following pair of equations
(A)  and 
(B)  and 
(C)  and 
(D)  and 

12. What is the volume of the cylinder given below, where radius and height of the cylinder is given in centimeters
(A) 384 cm³
(B) 388 cm³
(C) 392 cm³
(D) 396 cm³

13. What is the geometric mean of the numbers: 2, 4 and 8?
(A) 3
(B) 4
(C) 5
(D) 6

14. What is the 71^st term of the sequence: 4, 7, 10, 13, …. ?
(A) 214
(B) 216
(C) 218
(D) 220

15. What is the sum of the sequence: 5, 10, 15, …., 5000 ?
(A) 250,2200
(B) 250,2300
(C) 250,2400
(D) 250,2500

ANSWERS: NTS QUANTITATIVE PRACTICE
11(C) 12(D) 13(B) 14(A) 15(D)

SOLUTIONS: NTS QUANTITATIVE PRACTICE

11. (C)

12. (D) The formula for calculating volume of a right-circular cylinder is . Thus,

13. (B) By applying formula for calculating geometric mean, we have

14. (A) This is an arithmetic sequence with common difference 3, and the first term is 4. By applying, formula for finding the n^th term of an arithmetic sequence we have

15. (D) This is an arithmetic sequence with common difference 5, the first term is 5, and the last term is 5000. By applying, formula for finding the sum of the n terms of an arithmetic sequence, we have
NOTE: There are 1000 terms from 5 to 5000, so n = 1000.

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QUANTITATIVE REASONING: PRACTICE QUESTIONS

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Choose the correct answer from the given options. Find answers and solutions to the questions at the bottom of the page.

6. What is the value of  in the equation
(A) 1
(B) –2
(C) 2
(D) 3

7. How many feet there are in 4.5 meters? If 1 meter = 3.281 feet.
(A) 14.36
(B) 14.56
(C) 14.76
(D) 14.96

8. If person-A can complete a particular work in 10 days and person-B can completes that same work in 12 days. How much time it will take if they work together?
(A) 5 days and 11 hours
(B) 5 days and 16 hours
(C) 6 days and 11 hours
(D) 6 days and 16 hours

9. Consider the diagram below, where the length of the line AB is 6 cm. And, C is center of the circle
What is the area of the shaded region (region in maroon colour)?
(A) 19.09 cm²
(B) 19.29 cm²
(C) 19.49 cm²
(D) 19.69 cm²

10. A student obtained the marks: 60, 50, 70, 65 and 85 in Physics, Chemistry, Statistics, English and Biology respectively, and 0 marks in Mathematics. What the average marks he obtained?
(A) 55
(B) 60
(C) 65
(D) 70

ANSWERS: QUANTITATIVE REASONING PRACTICE
6(D) 7(C) 8(A) 9(B) 10(A)

SOLUTIONS: QUANTITATIVE REASONING PRACTICE

6. (D)

7. (C)
3.281 ⇒ three digits after decimal
4.5 ⇒ one digit after decimal. Hence,
14.7645 ⇒ (3+1=4 digits after decimal)

8. (A)

9. (B) The length of line AB which is the diameter of the circle is 6 cm. Hence, radius of the circle is 3 cm.

10. (A) Average is calculated as, sum of elements divided by number of elements, that is

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NTS Quantitative Reasoning Practice

Quantitative reasoning section practice questions with answers and solutions. NTS test preparation material for quantitative section. The quantitative section of the NTS test consists of questions from Arithmetic, Algebra, Geometry, Word Problems, Financial Mathematics, Basic Statistics and Probability.

QUANTITATIVE REASONING: PRACTICE QUESTIONS

Page: 1 | 2 | 3

Choose the correct answer from the given options. Find answers and solutions to the questions at the bottom of the page.

1. What is the solution of the equation
(A) 1
(B) 
(C) 
(D) 4

2. If , then what is the value of the function
(A) 2
(B) 4
(C) 8
(D) 12

3. What comes next in the sequence: 2   3   7   23   ____?
(A) 77
(B) 83
(C) 87
(D) 93

4. What is area of the shaded region (coloured region) in the following diagram
(A) 16 cm²
(B) 18 cm²
(C) 20 cm²
(D) 22 cm²

5. A car covered 300 km of distance in 3 hour 20 minutes, and then 240 km of distance in 2 hour and 40 minutes. What is the average speed of the car during this trip?
(A) 80 km/hr
(B) 90 km/hr
(C) 100 km/hr
(D) 110 km/hr

ANSWERS: NTS QUANTITATIVE PRACTICE
1(C) 2(D) 3(C) 4(A) 5(B)

SOLUTIONS: NTS QUANTITATIVE PRACTICE

1. (C)

2. (D)

3. (C) Multiply the element with 4 and then subtract 5 to obtain the next term

4. (A) The base of the triangle (in shade) is 8 cm, and the height is 4 cm, hence

5. (B) Here, total distance = 300+240=540 km, and total time = 3 hour 20 minutes + 2 hour 40 minutes = 6 hour. Hence,

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NTS Quantitative Reasoning

The Mathematics (Quantitative Reasoning) section of the NTS test consists of the following four type of questions:

• Arithmetic
• Algebra
• Geometry, and
• Basic Statistics and Probability

NTS QUANTITATIVE REASONING: SAMPLE QUESTIONS
Find answers and explanation to the answers at the bottom of the page.

1. 
(A) 0
(B) 1
(C) 4
(D) 8

2.  of 96 is
(A) 72
(B) 76
(C) 80
(D) 84

3. If  and  Then what are the values of  and 
(A)  and 
(B)  and 
(C)  and 
(D)  and 

4. If  , then 
(A) 0
(B) 1
(C) 2
(D) 3

5. What is the 101^st term of the sequence: 1, 4 7, 10, …. ?
(A) 281
(B) 291
(C) 301
(D) 311

6. What is the sum of the sequence: 10, 20, 30, 40, …. , 1000 ?
(A) 50,000
(B) 50,500
(C) 60,000
(D) 60,500

7.

Consider the larger circle and an inner circle. Point A is center of larger circle. If the line AB (not drawn) is 7 cm in length, then what is the area of larger circle.
(A) 154 cm
(B) 136 cm
(C) 112 cm
(D) 94 cm

8. A train traveled a distance of 6,000 km from Lahore to Karachi in 22 hours. And during travel from Karachi to Lahore the train got late due to engine failure and reached Lahore in 28 hours. What is the average speed of train?
(A) 180 km/hr
(B) 200 km/hr
(C) 220 km/hr
(D) 240 km/hr

9. If 6 men can complete a work in 15 hours. Then how many hours it will take if 10 men working on the same speed completes the work?
(A) 7
(B) 8
(C) 9
(D) 10

10. The ages of Sohail, Afzal and Bilal are 17, 16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?
(A) 32
(B) 33
(C) 34
(D) 35

ANSWERS: NTS QUANTITATIVE REASONING
1(C) 2(D) 3(B) 4(D) 5(C)
6(B) 7(A) 8(D) 9(C) 10(D)

EXPLANATION

1. (C) Apply DMAS rule (first division, then multiplication, then addition and subtraction in last). That is, 4÷4=1. Then 1×4=4. Then 4+4=8. And, in the last 8−4=4.

2. (D) Replace ‘of’ by ×, that is  of 96 = .

3. (B)

4. (D)

5. (C) This is an arithmetic sequence with common difference of 3. The first element is 1, and total elements are 101. So, a₁ = 1, d = 3 and n = 101. So, by using the formula of nth term of an arithmetic sequence, we have

6. (B) This is an arithmetic sequence with common difference of 10. The first element is 10, and total elements are 100 (Total elements in the sequence 10, 20, 30, … , 1000 are 100). And, the last element is 1000. So, a₁ = 10, a_n = 1000, d = 10 and n = 100. So, by using the formula for the sum of n elemets of an arithmetic sequence, we have

7. (A) The line AB = 7 cm is the radius of the larger circle. So, the area of the larger circle is

8. (D)Total distance = 6,000+6,000=12,000 (from Lahore to Karachi, and then from Karachi to Lahore). Total time = 22+28=50 hours. Hence, average speed is

9. (C) More people will complete the work in less time, so by applying inversely proportional formula, we have

10. (D) The average of the ages of Sohail, Afzal and Bilal is
If the age of Aslam  also included the average of the ages is increased by 5, that is

⇒ More Practice Questions

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NTS Analytical Reasoning

The Analytical Reasoning section of GAT General is consist of the questions like, Deductive and inductive logic, Critical thinking and writing skills. In other words, there will be some statements bearing some information and you need to deduce and infer other relevant information. Find sample questions of the Analytical section of the NTS Test here. Also, find answers and explanation to the answers at the bottom of the page.

NTS ANALYTICAL REASONING SECTION: SAMPLE QUESTIONS
Find answers and explanation to the answers at the bottom of the page.
Questions 1 – 7
Nine individuals: Ahmed, Bilal, Danish, Faisal, Haroon, Liaquat, Maryam, Shiza and Zeeshan are to serve on three committees labeled A, B and C.

• Each candidate should serve on exactly one of the committees
• Every committee must have atleast one member
• Committee A should consist of exactly one member more than that of committee B
• Among Maryam, Shiza and Zeeshan none can serve on committee A
• Among Faisal, Harron and Liaquat none can serve on committee B
• Among Ahmed, Bilal and Danish none can serve on committee C

QUESTIONS

1. In case Danish and Zeeshan are the individuals serving on committee B, how many of the nine individuals should serve on committee C?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

2. Of the nine individuals, the maximum number that can serve together on committee C is
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9

3. In case Ahmed is the only individual serving on committee B, which among the following should serve on committee A?
(A) Bilal and Danish
(B) Bilal and Faisal
(C) Bilal and Liaquat
(D) Faisal and Haroon
(E) Danish and Haroon

4. In case, any of the nine individuals serves on committee C, which among the following could not be the candidate to serve on committee A?
(A) Ahmed
(B) Bilal
(C) Danish
(D) Liaquat
(E) Shiza

5. In case, Bilal, Danish and Maryam are the only individuals serving on committee B, the total membership of committee C should be
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

6. In case, Bilal, Danish and Maryam are the only individuals serving on committee B, then the members of committee C should be
(A) Haroon and Shiza
(B) Maryam and Zeeshan
(C) Shiza and Zeeshan
(D) Faisal and Shiza
(E) Haroon and Maryam

7. Among the following combinations which could constitute the membership of committee C?
(A) Danish and Shiza
(B) Faisal and Maryam
(C) Liaquat, Maryam and Shiza
(D) Faisal, Haroon and Liaquat
(E) Ahmed, Faisal, Maryam and Zeeshan

ANSWERS
1(C) 2(B) 3(A) 4(E) 5(D) 6(C) 7(B)

EXPLANATION

1. (C) If Danish and Zeeshan (two persons) are in committee B, then there must be 3 persons in committee A. Hence, 4 persons should serve in committee C.
2. (B) If minimum 1 in committee B, then committee A must have 2 members. Hence, committee C could have maximum of 6 members.
3. (A) If Ahmed is the only (one person) serving in committee B. Then committee A must have 2 members. And, committee C cannot have Ahmed, Bilal and Danish. Hence, Bilal and Danish should serve in committee A.
4. (E) Committee A cannot have Maryam, Shiza and Zeeshan. Hence, Shiza cannot serve in committee A.
5. (D) If 3 members in committee B then 4 members in committee A. Hence, 2 members in committee C.
6. (C) If Bilal, Danish and Maryam (3 persons) are serving in committee B. Then, committee A must have 4 persons and cannot have Maryam, Shiza and Zeeshan. Hence, Shiza and Zeeshan should be in committee C.
7. (B) If committee B=1, A=2 then C=6. If committee B=2, A=3 then C=4. If committee B=3, A=4 then C=2. So, committee C cannot have odd number of members. And, committee C cannot have Ahmed, Bilal and Danish. Hence, it should have Faisal and Maryam.

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GAT General

About GAT General (NTS Test)
GAT General Preparation Material and Sample/Practice Questions

GAT General is a standardized examination taken by NTS (National Testing Services) Pakistan, which is required to take, for admission in MS/MPhil programs and also for HEC scholarships. NTS takes GAT General 5 times each year, and the test is administrated in many cities of Pakistan. The test is divided in three parts:

1. GAT Verbal Section
2. GAT Quantitative Section, and
3. GAT Analytical Reasoning Section

TYPES OF GAT GENERAL
There are four types of GAT General for candidates from different disciplines:
GAT-A for Engineering & Technology and Business Education Disciplines.
GAT-B for Social Science and Arts & Humanities Disciplines.
GAT-C for Biological, Agriculture, Veterinary & Physical Sciences Disciplines.
GAT-D for Religious Studies (students coming from Madrassa background).

GAT PAPER DISTRIBUTION

GAT TYPE	VERBAL SECTION	QUANTITATIVE SECTION	ANALYTICAL REASONING
GAT-A	35 MCQs	35 MCQs	30 MCQs
GAT-B	50 MCQs	30 MCQs	20 MCQs
GAT-C	45 MCQs	35 MCQs	20 MCQs
GAT-D	50 MCQs	30 MCQs	20 MCQs

GAT TEST PATTERN

• Total No of MCQs = 100 (Total Marks = 100)
• Time Allowed = 120 minutes (2 hours)
• Negative Marking: NO

GAT General Validity
GAT General (NTS Test) is valid for 2 years, for the admissions in MS/MPhil programs and for HEC Scholarships.

NTS Test in Pakistan
GAT General (NTS Test) is administrated in 12 cities of Pakistan:

Compulsory Cities:
Faisalabad, Islamabad, Karachi, Lahore, Multan, Peshawar, Quetta and Rawalpindi.

Optional Cities: (subject to a minimum of 200 registered candidates)
Bahawalpur, Dera Ghazi Khan, Gujranwala and Hyderabad.

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