UniReady STAT Practice Questions · Quantitative Questions – Part 2 ... and have been based on the results of many plane landing experiments. FIGURE 1. UniReady STAT Practice Questions

UniReady STAT Practice Questions

Quantitative Questions – Part 2

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UniReady STAT

Practice Questions

Quantitative Practice Questions

Part 2

By UniReady.net



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Unit 15 has been allocated to the ‘Extra Challenging’ section

Unit 16 ________________________________________________________________

Questions 82 - 84

Gibbs free energy ∆G is a measure of the tendency of a chemical change to occur spontaneously. Gibbs equations is given as:

∆G = ∆H - T∆S

Where ∆H equals the change in enthalpy, T equals the Kelvin temperature, and ∆S equals the change in entropy. If ∆G = 0, then it is in equilibrium If ∆G > 0, then a the forward direction is non-spontaneous If ∆G < 0, then a the forward direction is spontaneous 82. If a reaction occurs non-spontaneously at all temperatures, then

A. ∆H < 0 plus ∆S < 0 B. ∆H < 0 plus ∆S > 0 C. ∆H > 0 plus ∆S < 0 D. ∆H > 0 plus ∆S > 0

83. For the forward reaction to be always spontaneous, which of the following conditions need to be present?

A. ∆H < 0 ∆S < 0 T is |T. ∆S| < | ∆H| B. ∆H < 0 ∆S < 0 T is |T. ∆S| > | ∆H| C. ∆H > 0 ∆S > 0 T is |T. ∆S| < | ∆H| D. None of the above

84. Calculate ∆G at 25oC for the following reaction:

CO2(g) + 2LiOH(s) → LiCO3(s) + H2O(l) ∆H° = -138.4 kJ, ∆S° = -139 J/K A. 4.13 x 104 kJ B. -135 kJ C. -180 kJ D. -97.0 kJ



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Unit 17 ________________________________________________________________

Questions 85 – 87

An airplane is flying at 50ms-1 and has a mass of 700kg. It fires a rocket and continues at the same speed. However the firing of the rocket caused the airplane to change directions by 90o.

85. The change in Kinetic energy of the airplane has a magnitude, in Joules, of:

A. 5.7 × 105 B. 10 × 105 C. 0 D. 9.6 × 105

86. The change in momentum of the airplane has a magnitude, in kgms-1, of:

A. 7.7 × 104 B. 4.9 × 104 C. 0 D. 4.9 × 105

87. If the rocket is fired off parallel to the earth, and the plan continued to fly, in its change direction parallel to the earth, which of the two has a greater momentum in relation to the earth?

A. The Rocket B. The Plane C. They have equal momentum or zero D. Non of the above



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Unit 18 ________________________________________________________________

Questions 88 - 90

Airports include continuous landing and takeoffs of airplanes. Experimental evidence indicates that the minimum land height required by an airplane to land successfully depends on its size, and also on the nature of the surface onto which it is to land. Moreover the speed of an airplane on landing on the ground can be related to the airplane’s landing height and its length. The graphs in Figures 1 to 3 show relationships between the size, airplane speed, and landing height of airplane, and have been based on the results of many plane landing experiments.

FIGURE 1



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FIGURE 2

FIGURE 3

88. What is the Distance (In Miles) travelled by the plane when its height is 60 meters and speed is 750 m/s. Given time = 4 hours? (1 Mile = 1.609 km)

A. 6711 miles B. 6710 miles C. 6415 miles D. 6720 miles

89. What is the average speed of a airplane as it lands?

A. 1120 m/sec B. 1125 m/sec C. 1130 m/sec D. 1100 m/sec

90. If the Airplane area is 50 square meters then how much runway is needed for the plane for landing?

A. 2 km B. 5 km C. 6 km D. 9 km



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Unit 19 ________________________________________________________________

Questions 91 - 93

Mr. Edmund is running a company that produces plastic pipes. Every year the company makes a profit or a loss. An audit team investigated the company. The two graphs showing the production, profit and loss of the company annually.

FIGURE 1

FIGURE 2

91. What is the Average production of the company from 2000-2008?

A. 42.8 % B. 43.8 % C. 41.8 % D. 44.6 %

92. What is the growth in profit over 2002 – 2003?

A. 20 % B. 15 % C. 25 % D. 10 %

93. Over the years 2001 – 2003, describe the correlation between production and profit:

A. Positive B. Negative C. No correlation D. In sufficient information



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Unit 20 ________________________________________________________________

Questions 94 - 99

In the grid shown, different letters represent different integers less than 16. The numbers to the right and below the grid are row and column totals. For example: P + R + S + S = 53

94. The value of A is:

A. 45 B. 46 C. 48 D. 51

95. The value of B is:

A. 32 B. 45 C. 52 D. 38



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In the grid shown, different numbers are represented in rows and columns. The numbers to the right and below the grid are row and column totals. For example: 4 + 3 + ? + 20 = 45

96. The value of X is:

A. 55 B. 38 C. 41 D. 62

97. The value of Y is:

A. 54 B. 46 C. 36 D. 75



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In the grid shown, different numbers and alphabets are represented in rows and columns. The numbers to the right and below the grid are row and column totals. For example: A + B + 13 + 8 = 36

98. The value of P is:

A. 31 B. 35 C. 41 D. 37

99. The value of Q is:

A. 34 B. 29 C. 30 D. 44



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Unit 21 ________________________________________________________________

Questions 100 - 103

Crude oil is a mixture of many substances and they are separated by the method of fractional distillation. Figure 1 shows the fractional distillation process of crude oil.

Figure 1

100. According to figure 1, which of these components of crude oil has the maximum density? A naphtha C gasoline



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B diesel D LPG 101. Fuel for jet planes is obtained at approximately what temperature in the fractional distillation column? A 70°C C 170°C B 120°C D 270°C 102. Boiling point of the fuels of which of these modes of transport is the maximum? A trains C ships B airplanes D cars 103. During the fractional distillation of crude oil, which of these components

will be obtained first? A bitumen for roads and roofs B diesel fuels C liquefied petroleum gas D petrol for vehicles



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Unit 22 ________________________________________________________________

Questions 104 - 107

Consider the following figure:

Figure 2

In Figure 2: A The circle stands for “Tech-savvy” people. B The square stands for “Hard working” people. C The triangle stands for “Urban” people. D The rectangle stands for “Honest” people. Answer these questions based on the given figure: 104. Which area of the diagram indicates Urban, Hard working and honest

people who are not Tech-savvy? A 3 C 4 B 2 D 9 105. Which area of the diagram indicates Non Urban, Tech-savvy people who

are neither Hard working nor honest? A 9 C 6 B 7 D 8



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106. What does the region 8 represent?

A Honest, Tech-savvy, and Urban people who are not Hard working.

B People who are only Honest. C Honest, Tech-savvy and Hard working people who are not

Urban. D Honest and Tech-savvy people who are neither Hard working nor

Urban. 107. What does the region 9 represent?

A Honest, Tech-savvy, and Urban people who are not Hard working.

B Hard working non Urban people who are neither Tech-savvy nor Honest.

C Honest, Tech-savvy and Hard working non Urban people. D Honest, Tech-savvy, Hard working and Urban people.



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Unit 23 ________________________________________________________________

Questions 108 – 110

An article appeared in a technology magazine about the working of an internet firewall. The article described an internet firewall to be a collection of security software that prevents unauthorized access to and from a computer. Figure 3 was provided in the article in order to explain the working of internet.

Figure 3



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108. Which of these cannot be inferred from the figure 1 about the internet firewall?

A An internet firewall prevents the unauthorized access of PC 1 from the internet.

B An internet firewall blocks any suspicious internet activity from PC 1 and PC 2.

C An internet firewall blocks any suspicious access of PC 1 from PC 2.

D An internet firewall prevents the unauthorized access of PC 2 from the internet.

109. Based on the stimulus, the internet firewall can be best described as A an electronic wall that blocks access B a collection of security software that block unauthorized access C security software that monitors access to the internet D an electronic wall that monitors unauthorized access For Question 11 refer to the following additional information Description of four security software is listed in the following table.

Security Software

Description

P Monitors and blocks the suspicious internet activity on the PC

Q Password protects the PC to avoid any unauthorized access to its content

R Blocks any incoming and outgoing connections from the PC

S Blocks all suspicious incoming and outgoing connections from the PC

110. Which of the security software mentioned in the table is an internet firewall? A P C R B Q D S



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Unit 24 ________________________________________________________________

Questions 111 - 115

Figure 4

The above layout shows a medical center where six doctors, P, Q, R, S, T, and Z sit. Both Q and R occupy offices to the right of the corridor (as one enters the office block) and P occupies an office to the left of the corridor. T and Z occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of R and S face each other. T does not have a corner office. Z’s office is further down the corridor than P’s, but on the same side. Answer the following questions based on the given conditions. 111. If T sits in his office and faces the corridor, whose office is to his left? A P C R B Q D S 112. Which statement is correct? A Q’s office faces P’s office B R’s office faces P’s office C S’s office faces P’s office D T’s office faces P’s office



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113. Who is/are Z’s neighbor(s)? A P only C R only B P and S D Q and R 114. S was heard telling someone to go further down the corridor to the last

office on the right. To whose room was S trying to direct that person? A P C R B Q D Z 115. Which of the following statements is correct? A P and S are neighbors B S and Z are neighbors C S and T are neighbors D Q and R are neighbors



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Unit 25 ________________________________________________________________

Questions 116 - 119

In a science experiment, three objects having different masses are projected with different forces and the corresponding maximum distances travelled by the objects are plotted in graph 1.

Graph 1

The distance travelled by the object is also influenced by the angle of its projection with the horizontal. Graph 2 shows the distance travelled by one of the objects when it is thrown at different angles of projection.



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Graph 2

116. Graph 2 is plotted for which of the following cases? A Object X projected with 50 N B Object X projected with 5 N C Object Y projected with 50 N D Object Y projected with 5 N 117. An object is projected at an angle of 17.5°. At what other angle of

projection will the distance travelled by the object be the same? A 25° C 72.5° B 45° D 87.5° 118. At what force of projection, is the difference between the maximum

distance travelled by the objects X and Z 32 meters? A 20 N C 40 N B 30 N D 50 N 119. At what force is the maximum distance travelled by the object Y same as

that travelled by the object X when it is projected with force of 22.5 N? A 15 N C 35 N B 25 N D 45 N



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Unit 26 ________________________________________________________________

Questions 120 – 124

Some articles with codes as α, β, γ, θ, Φ, ψ, φ, σ, ρ are to be divided into two groups, A and B. However, there are a few constraints involved in this distribution. All articles will either belong to A or to B, but not to both.

The expression α ⊂ A means that α belongs to group A.

The expression α ⊄ A means that α does not belong to group A.

The symbol → means implies. The following information is available regarding the division of articles:

1. α ⊂ A → β ⊂ B

2. γ ⊄ A → θ ⊂ B

3. Φ ⊂ B → ψ ⊄ A

4. φ ⊂ B → σ ⊂ A

5. ρ ⊂ B → σ ⊄ A

6. φ ⊂ A → Φ ⊂ B

7. ψ ⊂ A → γ ⊂ A or β ⊄ B

8. α ⊂ B → ρ ⊂ B

9. θ ⊂ B → ρ ⊂ B

120. If α ⊂ A and γ ⊂ B, then which of the following statement is true? A A is the larger group B B is the larger group C Both groups A and B are equinumerous D Nothing can be said about groups A and B with certainty

121. If α ⊂ A and γ ⊂ B, then how many articles will accompany αααα? A One C Three B Two D. Four

122. If {θ, Φ} ⊂ A, then what is the maximum possible difference between the number of articles of A and B?

A One C Five B Three D Seven



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123. If {θ, Φ} ⊂ A, then which two articles can not be in the same group? A ψ and φ B Φ and ψ C σ and ρ D α and β

124. If only α ⊂ A is true, then which of the following statement is definitely true? A A will be larger group than B B B will be larger group than A C Both groups A and B are equal to each other D Nothing can be said about groups A and B with certainty

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UniReady STAT Practice Questions · Quantitative Questions – Part 2 ... and have been based on the results of many plane landing experiments. FIGURE 1. UniReady STAT Practice Questions