Dear Readers,
1-If the 8-digit number 2074 x 4y^2 is divisible by 88, then the value of (4x+3y) is ?
(A) 49
(B) 36
(C) 42
(D) 45
Q.2. When x is subtracted from each of 21,22,60 and 64, the number so obtained, in this order, are in proportion. What is the mean proportional between (x+1) and (7x+8)?
(A) 27
(B) 18
(C) 24
(D) 21
Q.3. ABCD is cyclic quadrilateral whose diagonals intersects at P. If AB = BC, ∠DBC = 70^0 and ∠BAC= 30^0 , the measure of ∠PCD is?
(A) 35^0
(B) 50^0
(C) 55^0
(D) 30^0
Q.4. G is the centroid of the triangle ABC, Where AB, BC and CA are 7cm, 24cm and 25cm respectively, then BG is ?
(A) 6 1/3
(B) 8 1/3
(C) 5 1/2
(D) 4 1/6
5-Two candidate fought an election. One got 65% of the votes and won by 300 votes. The total number of votes polled is-
(A) 600
(B) 800
(C) 1000
(D) 1200
6-The perimeter of a rhombus is 100 cm and one of its diagonals is 40 cm. Its area (in cm^2) is -
(A) 1200
(B) 1000
(C) 600
(D) 500
7-ABC is an isosceles right angled triangle with ∠B= 90^0 . On the sides AC and AB, two equilateral triangles ACD and ABE have been constructed. The ratio of areas of ∠ABE and ∠ACD is -
(A) 1 : 3
(B) 2 : 3
(C) 1 : 2
(D) 1 :4
8-The area of an equilateral triangle is 676√3 cm^2. What is the length of the inradius?
a) 24√3
b)26 / 3
c) 26√3 / 3
d)26√3
9-Three numbers A, B and C are in the ratio 4 ∶5 ∶8, If each number is increased by 15%, 24% and 35%, respectively, then the new ratio of the numbers will be:
a) 23 ∶31 ∶54
b)21 ∶ 31 ∶54
c) 23 ∶ 31 ∶44
d)23 ∶ 33 ∶54
10-person goes from A to B with speed 40 km/hr & return from B to A with speed 30 km/hr. Whole journey takes 14 hr, then find the distance between A & B in Km.
a) 480
b)240
c) 120
d)360
Answer Key-
1-Sol. (4)
2-Sol. (3)
3-Sol. (2)
4-Sol. (2)
5-Sol. (3)
6-Sol. (3)
7-Sol. (3)
8-Sol. (1)
9-Sol. (2)
10-Sol. (2)
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MAHENDRA GURU