# Polytechnic Entrance Exam Maths Practice Questions

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## MATHEMATICS

If diagonal of a parallelogram are of same length and cut at right angle; then the quadrilateral is

(A) equiperpendicular                           (B) square

(C) rhombus                                            (D) rectangle

Base of a parallelogram is 4 times of perpendicular to adjacent If area of parallelogram is 64 cm2 then base is-

(A) 12 cm                                               (B) 8 cm

(C) 16  cm                                              (D) 32 cm

If coordinates of a circle’s diameter are (-2, 10) and (12, -4) then coordinate of circle’s centre are

(A) (5, 3)                                                (B) (10, 6)

(C) (14, 6)                                             (D) (3, 6)

Line segment draw between points (8, 5) and (-3, -7) is divided in ratio by x axis is

(A) 5 : 7                                                (B) 3 : 4

(C) 6 : 5                                                (D) 8 : 3

If P = (2, -1) and Q = (k, 1) and PQ = 2 √2 unit then value of k is

(A) 8                                                        (B) 4

(C) 2                                                        (D) 2 √2

If points (1, 4), (3, -2) and (k, 1) are collinear value of k is

(A) 3                                                        (B) 0

(C) -2                                                       (D) 2

If vertices of a triangle are (a, c + a), (a, c) and (-a, c-a) then area of triangle is

(A) c2 square unit                                (B) ac square unit

(C) ( c2 a2) square unit                    (D) a2 square unit

If 1 4th of a number is added in number itself then the result is 75 then the number is

(A) 60                                                      (B) 50

(C) 30                                                      (D) 20

( x+ 5)( x2+7 x +10) ( x+ 3)( x2+10 x+ 25) can be simplified in

(A) x +2 x +3

(C)    x +5 x +3

(B)    x 2 x−3

(D)    x +3 x +5

The angles of depressions of top and base of a building are 450 and 600 respectively from the top of a If the height of building is 10m, the height of tower will be………

(A) 23.56 m                             (B) 23.66 m

(C) 23.60 m                             (D) 23.08 m

A verandah of area 90m2 is around a room of length 15m and breadth The width of the verandah is ………

(A) 1m                                      (B) 2m

(C) 1.5m                                  (D) 2.5m

The solution of the equation y2/3 – 2y1/3 = 15 is

(A) 25, 27                                (B) 27, -125

(C) 125, -27                             (D) 25, -27

If tan(A+B) = 3 and cos(A-B) =     3 2then values of A and B are

(A) 600, 300                                                    (B) 450, 150

(C) 400, 200                                                    (D) 150, 300

Depression angle of a boat from 15 mt high bridge is 450. If boat is coming with the speed of 6km/hr. Then it will reach below the bridge in

(A) 9 sec                                                (B) 12 sec

(C) 10 sec                                              (D) 6 sec

In a ∆ ABC AB = 8cm, BC = 15cm and AC = 17cm then biggest angle is

(A) 1200                                            (B) 600

(C) 1000                                            (D) 900

The point where three medians of triangle intersect is called

(A) Orthocenter                       (B) Circumcenter

(C) Incenter                             (D) Centriod

LCM of x3 – 9x and x2 – 2x – 3 is

(A) (x – 3)                                   (B) (x + 3)

(C) x(x + 1)                                (D) x(x + 3) (x – m) (x + 1)

Numerical value of a sphere’s volume is 5 times of sphere’s surface Radius of sphere is

(A) 5 cm                                  (B) 15 cm

(C) 10 cm                                (D) 12 cm

If P(2) = 0 then P(x) is a factor of —

(A) (x + 2)                              (B) (x – 2)

(C) x                                         (D) 2x

2x2 + 3x2 4x + k is divisible by expression (x – 2). Value of k is

(A) -20                                    (B) 20

(C) 0                                        (D) 1

Angle of a triangle are in ratio of 1:5:12. Biggest angle of this triangle is

(A) 450                                                              (B) 600

(C) 1200                                                            (D) 900

Two complementary angle measures 5x + 150 and 4x – 60 .Angles are

(A) 1100, 700                                               (B) 1000, 800

(C) 950, 850                                                 (D) 1200, 600

Value of log ( 1 ) is 125

(A) 5                                       (B) 3

(C) -3                                      (D) 0

If log 2 = 3010 then value of log 25 is

(A) 1.6020                               (B) 1.3010

(C) 1.6990                               (D) 1.3980

If 3 log x + 2 log y – 2 = 0 then value of x3.y2 is

(A) 40                                     (B) 25

(C) 10                                     (D) 100 