NTS
* PLEASE MARK YOUR ANSWERS ON THE ANSWER SHEET.
* MARK YOUR ANSWER BY SHADING YOUR CHOICE AS SHOWN.
(a) (b) (c) (d) (e)
This section consists of two parts each having 15 questions in each of the Questions. 1-15, the problem states two quantities, one in column A and one in column B, with possibly some additional information. You are to compare the two quantities and choose your answer as follows:
If the quantity in column A is greater
If the quantity in column B is greater.
It the two quantities are equal.
If the relationship cannot be determined from the information given.
Example 1.
Column A Column B
2/7 12/49
Since 2/7 is greater than 12/49, (a) is the correct answer.
Example 2.
Given that x>0.
x2
If x>1, x2>1
PART A
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Column A Column B
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Q.1 The number of posts needed for a fence 169 feet long 13 posts
with posts placed 13 feet apart and at each end of the fence.
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Q.2 4 silver and 1 gold coins are worth as much as
2 gold and 1 silver coins. 4 of these silver coins 1 of these gold coins
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Q.3 Time between 7:55 am 1/3 hour
And 8:15 am
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Q.4 4.5 45/1000
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Q.5 ? ( pi ) 3.1415926
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Q.6 2/3 of 8 7/16 of 4
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Q.7 The radius of circle A is one third the radius of circle B. Circumference of circle B 3 time the circumference of circle A
Q.8 a/b = o/d Ad = bc
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Q.9 Square Root of (1.0/0.1’6) 2.0
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Q.10 A2 + B2 = 100 and -6 <=b<=0 Lowest possible value of a 0
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Q.11 0<x<y
4x 3y
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Q.12 2/4 divided by 3/8 one and a half
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Q.13 2 = 2b and a < b < 9
6 a
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Q.14 a6 6a5
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Q.15 x>0
(-3)x (2)x
Q.16 If a roast that requires 1 hour and 40 minutes of roasting time has been in the oven for 70 minutes, how many more minutes of roasting time are required?
(a) 25 (b) 30 (c) 35 (d) 40 (e) 45
Q.17 At a special sale, 4 tickets can be purchased for the price of 3 tickets. If 4 tickets are purchased at this sale, the amount saved will be what percent of the original price of the four tickets?
(a) 25% (b) 50% (c) 75% (d) 30% (e) 80%
Q.18 Raza went shopping with A rupees. He spent 25% of his money on a wrist watch and two-thirds of what was left on new tires for his motorbike. What percentage of the original D rupees did he spend?
(a) 25% (b) 50% (c) 75% (d) 30% (e) 80%
Q.19 A lamp is manufactured to sell for Rs.50.00 which yields a profit of 25% of the cost. If the profit is to be reduced to 15% of the cost. If the profit is to be reduced to 15% of the cost, the new retail price should be:
(a) Rs.40 (b) Rs.35 (c) Rs.31.50 (d) Rs.32.20 (e) Rs.46.00
Q.20 Shoaib, Faheem and Ajmal each walked 10 mile lengths of a 30 mile relay race at speeds of 4, 5 and 6 miles per hour respectively. What fraction of the total time did Shoaib walk?
(a) 15/37 (b) 4/15 (c) 15/74 (d) 3/5 (e) 5/4
Q.21 A pile of steel plates is 2.75 feet high. If each plate is 0.375 inches thick, the number of steel plates in the pile is:
(a) 7 (b) 98 (c) 7.333 (d) 88 (e) more than 88
Q.23 When twelve liters of petrol are put in a car the indicator on the fuel gauge goes from 1/4 to 5/8. The total capacity of the petrol tank in liters is:
(a) 32 (b) 24 (c) 26 (d) 36 (e) 30
Q.24 A plane covers the distance ‘d’ between two cities in ‘h’ hours, arriving 2 hours later than desired. What speed would allow the place to arrive on time?
(a) h-2 (b) (d/h)-2 (c) d/(h-2) (d) dh-2 (e)d/(h+2)
Q.25 A tap can fill a bath tub in ‘h’ hours. What part of the tub is filled in ‘x’ hours?
(a) hx (b) h/x (c) x/h (d) h+x (e) hx/2
Q.26 In traveling from his home to the university 200 miles away, a student went 1/5 of the way by foot, 5/8 of the way by bus and the remaining 35 miles by car. What was the distance in miles from his home to the university?
(a) 120 (b) 180 (c) 210 (d) 200 (e) 260
Q.27 A shopkeeper sold two different radios for Rs.240 each. One was sold at a loss of 25% of its cost and the other was sold at a profit of 25% of its cost. On both transactions combined, the merchant lost:
(a) Rs.128 (b) Rs.36 (c) Rs.30 (d) Rs.0 (e) Rs.32
Q.28 If ‘a’ and ‘b’ are both positive integers and (a-b)/3.5 = 4/7 then
(a) b<a (b) b>a (c) b=a (d) b>=a (e) b<=a
Q.29 In a group of 15 students 7 have studied Astronomy. 8 have studied Computer Science and 3 have not studied either of two subjects. How many of these students have studied both Astronomy and Computer Science?
(a) 0 (b) 3 (c) 4 (d) 5 (e) 7
Q.30 A box contains 3 pairs each of brown and black socks. What is the smallest number of stocks which could be taken from the box without looking such that at least two socks of the same color were obtained?
(a) 6 (b) 3 (c) 4 (d) 2 (e) 12
Analytical
INSTRUCTIONS
* PLEASE MARK YOUR ANSWERS ON THE ANSWER SHEET.
* MARK YOUR ANSWER BY SHADING YOUR CHOICE AS SHOWN
(a) (b) (c) (d) (e)
__________________________________________________________________
In this test different statements or paragraphs are give, One or more questions relating to each paragraph is given immediately following the statements. You are to read the statements carefully analyze the facts given and then answer the question/s given below:
The letter S, T, U. V, W, X, Y and Z represent eight consecutive whole numbers, not necessarily in that order.
W is 4 more than Z and 3 less than X
S is more than T and less than X
U is the average of V and X
Question 1.
If the lowest number of the series is 8, what is the value of W?
(a) 10 (b) 11 (c) 12 (d) 13 (e) 14
On analyzing the statements we find that Z is the lowest number in the series. W is 4 greater than Z so the value of W must be 12. Thus the correct answer is (c).
Question 2.
Which of the following is/are true?
(1) W is not the largest number in the series.
(2) Z is not the largest number in the series.
(3) X is not the largest number in the series.
(a) 1 only (b) 2 only (c) 1 and 2 only (d) 1 and 3 only (e) 1,2 and 3
Answer is (c). W is smaller than X so 1 is true. W is greater than Z so 2 is true. X is seven larger than Z so in a series of 8 consecutive whole numbers, X must be the largest. Thus 3 is false.
Question 1-4 relate to the following statements:
All roads in a city run North-South or East-West. There are no curves in the roads.
Roads 1, 2, 3, 4 and 5 are parallel to one another
Roads 6, 7, 8, 9, 10, 11 and 12 are parallel to one another
Roads 1 is one mile east of road 2
Road 2 is half a mile west of road 3
Road 4 is one mile west of road 5
Road 6 is half a mile south of road 7
Road 8 is one mile north of road 9
Road 10 is half a mile north of road 11
Road 10 is one mile south of road 12
Q.1 Which of the following is necessarily true?
A. Road 8 is one mile north of Road 11
B. Road 4 is two miles west of road 2
C. Road 5 and road 2 intersect
D. Road 12 is one and a half mile north of road 11
E . Road 4 is at least two miles west of road 1
Q.2 If Road 5 is somewhere between roads 2 and 3, then which of the following is false?
Road 4 is less than one mile from road 2
Road 3 is less than one and a half mile from road 4
Road 5 is less than one mile from road 1
The distance between roads 2 and 5 added to the distance between roads 3 and 5 is half a mile
Road 4 is two miles west of road 1
Q.3 Which of the following possibilities would make two road coincide?
If Road 11 is half a mile north of road 8
If Road 4 is half a mile east of road 1
If Road 8 half a mile north of road 10
If Road 3 is one mile west of road 4
If Roads 5 and 2 are half a mile apart or roads 7 and 9 are half a mile apart.
Q.4 If Road X is parallel to road 8 and road X is half a mile south of road 9 and one mile north of road 6, which two roads would be half a mile apart?
(a) Roads 8 and X (b) X and 7 (c) 9 and 6 (d) 9 and 7 (e) 8 and 6
Questions 5 and 6 are related to the following:
Eight university cricket players (G,H,I,J,K,L,M,N,O) are to be honored at a special function. Three of these players (H.M and O) are also football players. Two of them (K and N) are basketball players also In arranging the seats, it was decided that a player who participated in two sports should not sit next to another such player.
Q.5 Which of the following seating arrangements would not violate the above rule?
(a) H G K J (b) H K J L (c) J K M N (d) J L H K (e) L K N J
Q.6 To have the proper seating arrangement, K should sit between:
(a) G and H (b) J and M (c) L and N (d) J and L (e) H and J
Q.7 “The pilot has never been involved in a crash”
This statement would seem very foolish if we knew that:
The pilot was a very capable and qualified person
He had just started flying
Had flown more flights than any other pilot
Could fly a large variety of different planes
Had spent more than five years in flight training school
Q.8 “Only rich people travel by air”
We conclude from this statement that:
No rich person travels by road
Anyone who travels by air must be rich
At least one rich person will travel by air
All poor people do not travel by air
Some poor people travel by air
Q.9 All people who have cars are rich.
All people are either rich or have cars
Give the above assumptions, which of the following must be false?
1. All people who are rich have cars
2. Some people are not rich
3. There are people with cars who are not rich
(a) 1 only (b) 2 only (c) 3 only (d) 2 and 3 only (e) 1,2 and 3
Questions 10-12 relate to the following statements:
The top six race car rivers are to be given prizes according to their world rankings, Inadvertently, they have been made to stand in the queue in the wrong order. As a result of the error, the following situation exists:
1. Any two drivers who would normally be adjacent are no longer so
2. Exactly one of the drivers is occupying his correct position
3. Driver 1 is standing behind driver 6 and exactly one other driver is between them
4. Driver 4 is not last
5. Driver 5 is standing before driver 2
Q.10. Which driver cannot be standing among the last three in the queue?
(a) 1 (b) 3 (c) 4 (d) 5 (e) 6
Q.11. Which of the following must be false?
Driver 3 comes before 2
Driver 3 comes before 4
Driver 5 comes after 1
Driver 6 is second in order
Driver 3 occurs last
Q.12 Which of the following could possibly be true?
1. Driver 6 comes after 2
2. Driver 4 comes after 5
3. Driver 6 comes after 4
(a) 1 only (b) 2 only (c) 3 only (d) 2 and 3 only (e) 1,2 and 3
Q.13 Ali says that “Since every child I know likes ice-cream, Asad must also like ice-cream”
We conclude from Ali’s statement that:
Ali does not know many children
Asad is a child
Asad likes ice-cream
Ali is a good friend of Asad
Ali saw Asad behaving childishly
Questions 14-17 are based on the following:
Literature students in class have varied tastes in poetry.
* All who enjoy the poetry of Iqbal also like the poetry of Ghalib
* Those who enjoy Ghalib dislike Faiz
* Some who enjoy Ghalib also enjoy Faraz
* All who enjoy the poetry of Faiz also enjoy Mir
* Some who enjoy Mir also enjoy Ghalib
* Some who enjoy Faraz dislike Faiz
* All who enjoy Mir also enjoy Saadi
Q.14 Which if the following statements must be true?
All who enjoy Ghalib also enjoy Iqbal
None who dislike the poetry of Saadi enjoy the poetry of Faraz
Some who enjoy Faraz dislike Faiz
None of those who enjoy Iqbal dislike Mir
Some of those who enjoy Saadi dislike Mir
Q.15 Student A enjoys the poetry of Faiz. Which of the following must be false?
A does not enjoy the poetry of Faraz
A enjoys the poetry of Mir
A enjoys the poetry of Iqbal
A may or may not enjoy the poetry of Ghalib
Q.16 B enjoys the poetry of Iqbal. B may also enjoy any of the following poets except:
Faraz
Faiz
Mir
Ghalib
Saadi
Q.17 C enjoys the poetry of Mir. Which of the following must be true?
C may or may not enjoy the poetry of Faiz
C does not enjoy the poetry of Iqbal
C enjoys the poetry of Faraz
C does not enjoy the poetry of Ghalib
C enjoys the poetry of Faiz
Q.18 If nobody likes nobody, which of the following must be true?
1. Every body likes somebody
2. Somebody likes somebody
3. Nobody likes anybody
(a) 1 only (b) 2 only (c) 3 only (d) 1 and 2 only (e) 2 and 3 only
Q.19 All king size cigarettes cause cancer
“Red Loafs” is the name of a new brand of king size cigarettes
We can conclude from the above statements that:
“Red Loaf” smokers may have cancer
“Red Loaf” causes cancer
Anyone with cancer smokes “Red Loaf”
Nobody who smokes regular cigarettes gets cancer
People with cancer prefer king size cigarettes over regular cigarettes
SOLUTION OF Test NAT - II
Q.1 The number of post 13 apart needed for 169 ft length.
= 169/13 + 1 = 14
Since one post is also required at the far end.
A is Ans.
Q.2 4(S) + 1 (G) = 2(G) + 1 (S)
or
2(G) – (G) = 4 (S) – 1 (S)
or
1(G) = 3 (S)
Now 4(S) are greater than one G coin.
A is the Ans.
Q.3 Time between 7:55 & 8:15 a.m. =
20 min. which equals column B
C is the Ans.
Q.4 4.5 = 4/510 which is greater than 45/1000
A is the Ans.
Q.5 ? = 3.14285 is greater than 3.1415926
A is the Ans.
Q.6 2/3 of 8 = (2/3) * 8 = 16/3
&
7/16 of 4 = 28/16 = 7/4
Now 16/3 is greater than 7/4
A is the Ans.
Q.7 4/3*?*r3 & 4/3*?* (1/3 r)3
A is the answer.
Q.8 a/b = c/d or a * d = c* b
Both sides equals
C is the Ans.
Q.9 Sq. root 1.0 / 0. 16 = 5/2 which is greater than 2
A is the Ans.
Q.10 Lowest possible value of a = -8 Which is less than 0.
So answer is B.
Q.11 Insufficient Information. so answer is D .
Q.12 (2/4) / (3/8) = 2/4 * 8/3
= 4/3 which is less than one and a half
B is the Ans.
Q.13 Maximum possible value of a = 4.5. So.
Answer is A.
Q.14 From a6 & 6a5
Relationship cannot be determined
D is the Ans.
Q.15 From (-3)x & 2x
Relationship cannot be determined
D is the Ans.
Q.16 Roasting time required = 1 hr + 40 min. = 60 + 40
= 100 min.
Time in the oven = 70 min.
More minutes required to complete roasting:
Q.17 Suppose original price of 4 tickets = 100Rs.
: . “ “ “ “ 3 “ “ “ “ “ = 100/4 * 3 = 75
Since 4 tickets are purchased for 3x/4 price (3 tickets)
The saving = 100 – 75 = 25 %
Q.18 Original amount = A Rs.
Price of wrist watch = 25 A = A/4
100
Left over amount = A – A/4 = 3A/4
Amount spent on purchase of tyres = ¾ * 2A/3 = A/2
Total amount spent = A/4 + A/2 = 3A/4
i.e. 75% of A
Q.19 Suppose manufacturing cost = x
: . x + 25x / 100 = 50
: . 5x/4 = 50
or
x = 40Rs.
For 15% profit retail price should be:
= 40 + 15/100 *40 = 46Rs.
Q.20 Shoaib Speed Fahim Speed Ajmal Speed
10/4 10/5 10/6
Total time = 5/2 + 2 + 5/3
= ( 15 + 12 + 10) / 6 = 37/6
Shoaib’s fraction of time = 5/2 * 6/37 = 15/37
Q.21 Height of the steel plate’s pile = 2.73 * 12 = 33 inches
Thickness of one plate = 0.378 inches
Number of steel plates = 33 / 0.375 = 88
Q.22 Average of 3 positive integers = 200
: . Their total = 3 * 200 = 600
The largest integer = 240
: . Sum of the remaining two integers = 600 – 240
= 360
: . The maximum value of the 2nd largest integer = 239
Hence the least possible value of the smallest.
= 360 – 239 = 121
Q.23 Petrol added = 12 litters
Indicator rises = 5/8 – ¼ = 3/8
3/8 represents capacity = 12 liters
One capacity represents = 12 * 8/3 = 32 litters
Q.24 Distance between two cities = d
Time taken to cover = h
Time required by plan to reach in time = h – 2
: . Speed required to reach in time = d / (h – 2)
Q.25 Filling rate of the tub = 1/h per hour
In x hours the tub will be filled =x* 1/h
Q.26 Answer is given which is 200 miles.
Q.27 Selling price of each radio = 240
Suppose the cost of one radio = x1
: . Selling price = x1 + 25x1/100 = 5x1/4
5x1/4 = 240
x1 = 4/5 * 240 = 192
Selling price of the 2nd radio = x2 – 25x/100
= 3 x2/4 = 240
x1 + x2 = 192 + 320 = 512
: . Net loss = 5/2 – 480 = 32Rs.
Q.28 (a-b) / (3-5) = (a-b) / (7/2)
2(a-b) / 7 = 4/7
: . 2(a-b) = 4 or a-b = 2
: . a is grater than b or b is less than a.
Q.29 Group of students = 15 nos.
No. of “ “ who have studied Astronomy = 7
“ “ “ “ “ Com Science = 8
“ “ “ “ “ “ Non = 3
: . Remaining students = 15 – 3 = 12
: . Those who have studied both = 8+7- = 12
Q.30 Randomly trying 2 tries are sufficient
Analytical
Q.1 D
Discarded R8 is one south moreover distance between R8 R11 is unknown.
Discarded since distance between R5 and R2 (consequently R2 and R4) in unknown.
R5 and R2 are parallel which don’t intersect.
True answer.
This is not necessarily true because R5 and R2 might be combined.
Q.2 E
Is true since distance between R4 and R5 is one foot.
Is true because R5 lies between R2 and R3 which can’t be equal to R4 => R5+R2 =>R3=1+1/2 feet
Is true because the distance between R2 and R1 is one feet.
Is also true because the sum of two parts of the same is the same
R2 =>R5+R5+R3=1/2 foot.
Is false because R2 = > 1 foot and R4 & R5 is also one foot.
Q.3 E
Is discarded because other conditions are contradicted.
Is discarded because other conditions are contradicted.
Is discarded because other conditions are contradicted.
Is discarded because other conditions are contradicted.
It’s the answer since its first part makes the two rods R5 and R3 conceded without contradicting other conditions.
Q.4 B
Since this is the only which satisfies all the conditions (see from the chart).
5-6
|
Cricket Players |
G |
H |
J |
K |
L |
M |
N |
O |
|
Football Players |
|
H |
|
|
|
M |
|
O |
|
Basketball I Players |
|
|
|
K |
|
|
N |
|
Q.5 Seeing from the above, it is obvious that the a) is the only answer.
Q.6 The question is wrong because five players take part in two games. Even if such
players are seated on two extremes at least one of such players must be new to his
creed.
Q.7 B In this question we have to check the possibilities. If doctor is experienced
and had checked a lot of patients then there are less chances of lost of a patient.
Therefore the only possibility of lost of a patient is that he has just started practice.
i.e. option (b).
Q.8 B Because it is restricted the word only in the statement, therefore there is no
option of possibility.
Therefore only b fulfills this restriction.
Q.9 C
(1) not necessarily.
(2) May be.
(3) Is the answer because only the fulfills the two assumptions.
Q.10 C is the true answer.
Q.11 B,D and E are necessarily false.
May or may not
Not at all
May or may not
Not at all
Not at all
Q.12 E is the true answer.
Q.13 B Because every child likes ice-cream and Asad is also likes ice-cream. Therefore it is necessary according to the statements that he is a child.
Q.14 C Its given in the argument(6).
Q.15 D As every one who enjoys Iqbal dislike Faiz so he dislikes Iqbal (argument 2).
Q.16 B Same as above reason.
Q.17 E As everyone who enjoys Mir, he likes Faiz.
Q.18 C As nobody likes nobody means that none is like by anyone whereas a & b have likings for others.
Q.19 B Silver Bark, although a new brand of king size cigarettes causes cancer as all the king size cause it. It is the size which cause cancer and no other is the cause.