Friday 5 April 2019

NTS Quantitative Reasoning

April 05, 2019   Professional  

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. 4+4-4\times4\div4=?
(A) 0
(B) 1
(C) 4
(D) 8
2. \frac{7}{8}  of 96 is
(A) 72
(B) 76
(C) 80
(D) 84
3. If x+3y=12  and -2x-4y=24.  Then what are the values of x  and y?
(A) x=24  and y=60
(B) x=60  and y=24
(C) x=-24  and y=60
(D) x=24  and y=-60
4. If f(x)=2x^2-2x-1  , then f(-1)=?
(A) 0
(B) 1
(C) 2
(D) 3
5. What is the 101st 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 \frac{7}{8}  of 96 = \frac{7}{8}\times96=84 .
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, an = 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 (x)  also included the average of the ages is increased by 5, that is

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NTS Analytical Reasoning

April 05, 2019   Professional  

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

April 05, 2019   Professional  




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 TYPEVERBAL SECTIONQUANTITATIVE SECTIONANALYTICAL REASONING
GAT-A35 MCQs35 MCQs30 MCQs
GAT-B50 MCQs30 MCQs20 MCQs
GAT-C45 MCQs35 MCQs20 MCQs
GAT-D50 MCQs30 MCQs20 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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April 05, 2019   Professional  

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Choose the correct answer from the given options.
41. If a > b and b > a. Then ?
(A) a = b
(B) a ≠ b
(C) Cannot be evaluated
(D) Impossible
42. If a > b, b > c and d > a then ?
(A) b < d
(B) a < c
(C) b > d
(D) c > d
Question (3-7):
7 persons live in a street, having houses in line. Consider the following:
  1. A lives in the corner’s house
  2. C is between E and G
  3. There is 1 house between D and F
  4. F is neighbor of G
  5. There are two houses between A and G
43. Who lives in the second corner?
(A) B
(B) C
(C) D
(D) E
44. Who lives in the middle?
(A) C
(B) D
(C) E
(D) G
45. Who lives between B and G?
(A) D
(B) E
(C) F
(D) C
46. __________ is neighbor of A?
(A) F
(B) E
(C) D
(D) C
47. There are __________ houses between B and E?
(A) 0
(B) 1
(C) 2
(D) 3
ANSWERS: GAT SAMPLE ANALYTICAL REASONING
41(A) 42(A) 43(C) 44(D) 45(C) 46(B) 47(D)
EXPLANATION: GAT SAMPLE ANALYTICAL REASONING
41. (A) If a > b and also a < b then by property a = b.
42. (A) a > b, b > c implies a > c and it is given that a < d. Hence, b < d.
Q. 7 persons live in a street
_ _ _ _ _ _ _
1. A lives in the corner’s house
A _ _ _ _ _ _
2. C is between E and G
E C G or G C E
3. There is 1 house between D and F
D _ F or F _ D
4. F is neighbor of G
F G or G F
5. There are two houses between A and G
A _ _ G or G _ _ A
Let’s try (5) as
A _ _ G _ _ _
From (2), we have
A E C G _ _ _
From (4)
A E C G F _ _
From (3)
A E C G F _ D
Finally,
A E C G F B D
We can see that all the conditions are satisfied, hence, this is the right arrangement. Now, all answers could be answered easily.

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April 05, 2019   Professional  

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Choose the correct answer from the given options. Find answers and solution to the questions at the bottom of the page.
36. If 9m=4n , then \frac{n}{m}=?
(A) \frac{3}{2}
(B) \frac{2}{3}
(C) \frac{9}{4}
(D) \frac{4}{9}
37. In the diagram the length and width is given in cm. What is the area in cm2 of the triangle?
(A) 12
(B) 14
(C) 16
(D) 18
38. Suppose Rs.15,000 is deposited into a savings account that earns simple interest at an annual rate of 10%. How much will be in the account after 5 years?
(A) 21,500
(B) 22,000
(C) 22,500
(D) 23,000
39. The price of a house is Rs.1 million. And, the buyer also has to pay 10% of the price as purchasing tax. After these two payments, the buyer also has to pay 10% of allocation tax on the new price (actual price + purchasing tax). What the full amount in rupees the buyer has to pay?
(A) 120,00,00
(B) 121,00,00
(C) 122,00,00
(D) 123,00,00
40. In a class of 60 students comprising girls and boys, 30% are girls. How many boys are in the class?
(A) 39
(B) 40
(C) 41
(D) 42
ANSWERS: NTS QUANTITATIVE SAMPLE
36(C) 37(A) 38(C) 39(B) 40(D)
SOLUTIONS: NTS QUANTITATIVE SAMPLE
36. (C)
37. (A)
This is a right-triangle where base = 6, and perpendicular (or height) = 4. By applying formula for calculating area of a triangle, we have
38. (C) Here P = 15,000, r = 10% = 0.1, and t = 5. By applying formula for calculating simple interest, the final amount is given by
39. (B)
40. (D) If 30% are girls, then 70% are boys. Hence,


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April 05, 2019   Professional  

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Choose the correct answer from the given options. Find answers and solution to the questions at the bottom of the page.
31. 8 is 5 percent of what number?
(A) 140
(B) 150
(C) 160
(D) 170
32. An article was sold for Rs.360 after a 25 percent discount. What was the actual price of the article in rupess?
(A) 470
(B) 480
(C) 490
(D) 500
33. The length of the sides of the parallelogram is given in centimeters. What is the area in cm2 of the given parallelogram?
(A) 20
(B) 22
(C) 24
(D) 26
34. If n  books cost r  rupees. Then how much will m  books cost?
(A) mr
(B) nr
(C) \frac{nr}{m}
(D) \frac{mr}{n}
35. If the ratio of two numbers is 8:3, and their difference is 25. Then what are the two numbers?
(A) 15 and 40
(B) 17 and 42
(C) 20 and 45
(D) 22 and 47
ANSWERS: NTS SAMPLE PAPER (QUANTITATIVE)
31(C) 32(B) 33(C) 34(D) 35(A)
SOLUTIONS: NTS SAMPLE PAPER (QUANTITATIVE)
31. (C) First convert from English to Mathematics
32. (B) The article was sold after 25% discount. Hence, the given price Rs.360 is 75% of the actual price. So,
33. (C) We can calculate the height of the parallelogram (the dotted line) by using Pythagoras formula, (Hypotenuses)2 = (Perpendicular)2 + (Base)2
52 = (Height)2 + 32 ∵Perpendicular of Triangle = Height of Parallelogram
(Height)2 = 16
Height = 4
Now, Area of Parallelogram = base × height
= 3×4
= 12 cm2
34. (D)
n  books → r  rupees
m  books → x  rupees
By cross multiplication, we have
nx=mr
x=\frac{mr}{n}
35. (A) Let n  be the common factor. So,
8n-3n = 25  ⇒ 5n=25  ⇒ n=5 . Hence,
8n=8(5)=40  and 3n=3(5)=15 . Thus, the two numbers are: 40 and 15.

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