# Scholastic Aptitude Test (SAT) Paper – Maharashtra 2016 − 17 Part – 9

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Q: 87. , then find the value of k.

(1) 6

(2) 3

(3) 2

(4) 1

Q: 88. The cost of 20 guavas and 5 apples is same as that of 12 guavas and 7 of an apple is to that of a guava?

(1) Two times

(2) Half times

(3) Four times

(4) Five times

Q: 89. In a group of students, 10% students scored marks less than 20, 20% students scored marks between 20 to 40, 35% students scored marks between 40 to 60 and 20% students scored marks between 60 to 80. Remaining 30 students scored marks between 80 to 100. Find the mode of marks.

(1) 30

(2) 50

(3) 60

(4) 70

Q: 90. One of the root of a quadratic equation is then which of the following is that equation?

(1)

(2)

(3)

(4)

Q: 91. In ∆ ABCB=90° , then A(∆ ABC) = ?

(1) 96 sq. units

(2) 80 sq. units

(3) 120 sq. units

(4) 160 sq. units

Q: 92. Side of a cube is increased by 50%, then what percent increase will be in the area of the vertical faces of the cube?

(1) 125%

(2) 150%

(3) 100%

(4) 50%

Q: 93. , then X = how much?

(1) 30°

(2) 45°

(3) 60°

(4) 90°

Q: 94. are the co-ordinates of the vertices of ∆PQR , then find the co – ordinates of the centroid from the following alternatives given :

(1)

(2) (1, 3)

(3) (3, 1)

(4) (-3, 1)

Q: 95. In the following figure secants QS and TR intersect each other at point P, which is outside the circle. O is the point of intersection of chords SR and TQ. If OS =5 cm, OT = 10 cm, TR = 12 cm, PR = 8 cm, then find .

(1) 6 cm

(2) 10 cm

(3) 12 cm

(4) 16 cm