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51 With a 25 mph head wind a plane can fly a certain distance in five hours. The return flight takes an hour less. How fast was the plane flying?
A. 175 mph
B. 225 mph
C. 275 mph
D. 300 mph
52 How much water should be added to 2 Litre of 90% cleaning solution to yield 50% cleaning solution?
A. 1.2 Litre
B. 1.4 Litre
C. 1.6 Litre
D. 1.8 Litre
53 Solve x+2y=14 and 2x+y=13
A. (1, 5)
B. (2, 5)
C. (3, 5)
D. (4, 5)
54 Jahanzaib bought some art supplies. She bought coloured pencils for $1.25 per box and sketch pads for $2.25 each. Jahanzaib bought one more sketch pad than coloured pencil boxes and spent $9.25. How many sketch pads did she buy?
A. 2
B. 3
C. 4
D. 5
55 Find the value of x if |2x−3|−x=5
A. -4, 3/2
B. 4, 2/3
C. -8, -3/2
D. 8, – 2/3
56 Sardar sells cars. His monthly salary is $1,000. He gets a $500 commission for each car he sells. If Sardar wants to make $7,500 this month, how many cars would he have to sell?
A. 12 Cars
B. 13 Cars
C. 14 Cars
D. 15 Cars
57 A chemistry student needs to dilute some aci
D. How much pure water should be added to 2 gallons of 80% acid solution to yield 20% acid solution?
A. 4 gallons
B. 5 gallons
C. 6 gallons
D. 7 gallons
58 The Battery Company makes Batteries. The monthly fixed costs are $750. It costs $45 to make each battery. The battery sell for $75 a piece. What is the monthly break-even point?
A. 25
B. 30
C. 35
D. 40
GAT Test Preparation for all Subjects | NTS Quantitative Reasoning Mcqs
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59 If the L.C.M and H.C.F of two numbers are 150 and 30 respectively, and one of the numbers is 18, find the other number?
A. 220
B. 230
C. 240
D. 250
60 Zara is three times older than Sara. The sum of their ages is 16. What is the product of their ages?
A. 38
B. 48
C. 58
D. 68
61 Find the greatest number of 4 digits which when divided by 18, 24, 30 and 36 leaves a remainder 17 in each case.
A. 9377
B. 8377
C. 7377
D. 6377
62 The least number which when divided by 12, 15 and 18 leaves 5 as remainder in each case Is:
A. 175
B. 180
C. 185
D. 190
63 The greatest number which divides 2400 and 3600 leaving 48 and 60 respectively, as remainder is:
A. 10
B. 20
C. 30
D. 40
64 Three bells toll after intervals of 6, 9 and 15 minutes, respectively. If they toll together at 5 p.m., when will they toll together next?
A. 3:30
B. 4:30
C. 5:30
D. 6:30
65 Boy is 3 years old, his sister is 3 times older than him. What will be age of his sister when boy will be 11 years old?
A. 16
B. 17
C. 18
D. 19
66 There are 56 boys in a class of 140 students. What is the percentage of the boys?
A. 20%
B. 30%
C. 40%
D. 50%
67 Two numbers are respectively 20% and 50% more than a third, what percentage is the first to the second?
A. 50%
B. 60%
C. 70%
D. 80%
68 In 1992, men increased by 5 percent, women by 8 percent and total population by 20 percent, and for every 7 boys there are 6 girls. Find the number of boy in 1992.
A. 6833
B. 7833
C. 8833
D. 9833
69 Find the number which is divisible by 7 but not by 14?
A. 21
B. 12
C. 71
D. None of these
70 If the base of a rectangle is increased by 40% and the altitude is decreased by 30%, then the area is?
(A) Increased by 10%
(B) increased by 12%
(C) Decreased by 10%
(D) decreased by 2%
71 If the length of the rectangle is increased by 16% and the width is decreased by 25%, then the area is?
(A) Increases by 9 %
(B) decreases by 41 %
(C) decreases by 13%
(D) increases by 59%
72 If 30% of all women are voters and 42% of the population are women, what percent of the population are women voters?
(A) 17.4%
(B) 25.20%
(C) 12.60%
(D) None of these
73 A factory normally employs 100 people. During a slow spell, it fired 20% of its employees. By what percentage must it now increase its staff to return to full capacity?
(A) 25%
(B) 20%
(C) 80%
(D) 40%
74 If the average of 3,5,10 and S is 6, what is the value of S?
(A) 4
(B) 6
(C) 12
(D) 0
75 What is the value of x1 + I4x + 24, when x = 854?
(A) 1000
(B) 100,000
(C) 741,296
(D) 742,398
76 If x2 +y2 = 9 and (x-y) 2 = 3, what is the value of xy?
(A) 16
(B) 9
(C) 6
(D) 3
77 The L.C.M of 12,20,24,32 is:
A. 420
B. 440
C. 460
D. 480
78 The value of (5x + 6) (x + 12) – (5x – 6) (x + 3) is:
(A) 2(5x2 + 9x)
(B) 14
(C) 4
(D) 22
79 Three consecutive even numbers add to 42. What is the middle number?
A. 12
B. 14
C. 16
D. 18
80 If 3x + 9 = 18, what is the value of x + 3?
(A) .3
(B) 6
(C) -3
(D) 36
81 If 5x + 12= 44, what is the value of 5x – 12?
(A) 24
(B) 32
(C) 20
(D) 22
82 10 men dig a well in 5 days, how many days the will take if men are 5?
A. 10
B. 20
C. 30
D. 40
83 If 3x +17= 9. What is the value of x?
(A) 2
(B) 3
(C) -2
(D) -3
84 The least number which when divided by 35, leaves remainder of 25; when divided by 45 leaves a remainder of 35 and when divided by 55 leaves 45 as remainder, is:
A. 3422
B. 3433
C. 3444
D. 3455
85 If 5 balls cost Rs. 7, what do 15 balls cost?
A. 20
B. 21
C. 22
D. 23
86 If 2x-3 =15, what is the value of (2x – 3)2?
(A) 81
(B) 227
(C) ±225
(D) 225
87 If 8110 = 3x-7 what is the value of x?
(A) 47
(B) 27
(C) 51
(D) 14
88 Two-fifth of a certain number is 30. What is the number?
(A) 75
(B) 25
(C) 90
(D) 150
89 Sara weighs 25 pounds more than Umar. If together they weigh 205 pounds, what is the weight of Sara?
(A) 90
(B) 105
(C) 115
(D) 135
90 If the sum of two numbers is 36, and the larger is three times as larger as the smaller, what is the larger number?
(A) 27
(B) 30
(C) 15
(D) 18
91 Solve for x when x2 + 4x = 5
A. 1 or 5
B. -2 or 5
C. -5 or 1
D. 5 or 2
92 The greatest number which exactly divides 1155 and 735 is:
A. 102
B. 103
C. 104
D. 105
93 The sum of integer’s p and q is 352. The unit’s digits of p is 0. If p is divided by 10, the result is equal to q, what is the value of pi.
A. 30
B. 32
C. 230
D. 320
94 When 42 is added to twice a number, the result is 346, the number is:
(A) 304
(B) 242
(C) 152
(D) 265
95 The size of the square which can be made using 256 square shapes with a side length of 6 cm is:
(A) 16 cm
(B) 36 cm
(C) 2.67 cm
(D) 96 cm
96 A man was 26 years old when his daughter was born. Now, he is three times as old as his daughter. How many years old is the daughter now?
(A) 13 years
(B) 22 years
(C) 15 years
(D) 12 years
97 What is the sum of all the values of x that satisfy: 3x2−5x=2x+6
A.
B.
C.
D.
98 Sum of Three consecutive even numbers is 42. What is the middle number?
A. 12
B. 14
C. 16
D. 18
99 Given that: 4x2+5x=3x2−x−5
Quantity A: x Quantity B: 1
A. Quantity A is greater
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship can’t be determined from given information
100 If f(x) = -x2 + 6x – 5, then which could be the value of a if f(a) = f(1.5)?
A. 2.5
B. 3.5
C. 4.5
D. 5.5
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