Ace of Pace Sample Paper

of paceANDHERI / BORIVALI / DADAR / CHEMBUR / THANE / CHURCHGATE / NERUL / POWAI

Time : 2 hrs

ACE OF PACE SAMPLE TEST PAPER

Max.Marks: 150

Marking Scheme: Each question carries +3 for correct answer. There is no negative marking in the paper.

1.

If 562 – 512 = 5p, then p is equal is (A) 107 (B) 106

(C) 105

(D) 104

2.

If x and y are positive with x – y = 2 and xy = 24 then (A)

1 x

1 is equal to y
(D)

1 12

(B)

5 12

(C)

1 6

25 6

3.

If x = 2, y = 3, then xx + yy is equal to (A) 30 (B) 31

(C) 33

(D) 37

4.

If x = 2, y = 1 and z = -3, then x3 + y3 + z3 – 3xyz is equal to (A) 0 (B) 2 (C) 6 If x (A) 0

(D) 8

5.

1 x 2

2

1 x 2

, then x is equal to (B) 1 (C) 2 (D) None of these

6.

The quadratic equation whose roots are …show more content…

22.

23.

24.

25.

26.

(D) impossible
C 30o E K 45o 34o A B D

27.

28.

29.

A 25 metre long ladder is placed against a high vertical tower such that the foot of the ladder is 7 metres from the foot of the tower. If the top of the ladder slides 4 metres downwards then the foot of the ladder will slide by (A) 2 metres (B) 4 metres (C) 8 meters (D) 16 meters

30.

In a circle of radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. The distance of the chord BC from the centre O is
A 6 5-x B 5 x O C

(A) 3.6 cm 31.

(B) 1.4 cm

(C) 1 cm

(D) 4.6 cm

ABCD is cyclic quadrilateral AB is the diameter of the circle through A, B, C, D. If BAC = 35o, then ADC is equal to
D C

A

35o O

B

(A) 125o 32.

(B) 135o

(C) 145o

(D) 155o

Ram mother’s present age is six times Ram’s present age. Ram’s age five years from now will be one third of his mother’s present age. What are their present ages? (a) Ram : 6, Mother: 29 (b) Ram : 5, Mother: 30 (c) Ram : 30, Mother: 5 (d) Ram : 8, Mother: 32 There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11 : 4. At the rate Rs100 per metre it will cost the village panchayat Rs75000 to fence the plot. What are the dimensions of the plot? (a) length = 375, breadth = 150 (b) length = 275, breadth = 100 (c) length = 175, breadth = 120 (d) length = 120, breadth = 150 Half of a herd of deer are grazing