ElitmusZone » Sample Question Paper Quantitative 01

Sample Question Paper Quantitative 01

01. The 288th term of the series a, b, b, c, c, c, d, d, d, d, e, e, e, e, e, f, f, f, f, f, f………… is ?
(a) u (b) v (c) w (d) x
02. The total number of integer pairs (x, y) satisfying the equation x + y = xy  ?
(a) 0 (b) 1 (c) 2 (d) None of these
03. Five digit numbers are formed using only 0, 1, 2, 3, 4 exactly once. What is the difference between the greatest and smallest numbers that can be formed ?
(a) 19800 (b) 41976 (c) 32976 (d) None of these
04. How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million ?
(a) 496 (b) 486 (c) 1084 (d) 728
05. An equilateral triangle BPC is drawn inside a square ABCD. What is the value of angle APD in degrees ?
(a) 90 (b) 120 (c) 135 (d) 150
06. What is the distance (in cm) between two parallel chords of lengths 32cm and 24cm in a circle of radius 20 cm ?
(a) 1 or 7 (b) 2 or 14 (c) 3 or 21 (d) 4 or 28
07. A semicircle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semicircle at D. Given that AC=2 cm and CD= 6 cm, the area of the semicircle (in sq cm) will be
(a) 32π (b) 50π (c) 40.5π (d) 81π
08. Two identical circles intersect so that their centres and the points at which they intersect, form a square of side 1 cm. The area in sq cm of the portion that is common to the two circles is
(a) π/4 (b) π/2 -1 (c) π/5 (d) √2-1
09. A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kg. The clerk weighs the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120, 121 kg. What is the weight of the heaviest box ?
(a) 60 kg (b) 62 kg (c) 64 kg (d) Undeterminable
10. Three small pumps and a large pump are filling a tank. Each small pump works at (2/3) rd the rate of the large pump. If all four work at the same time, they should fill the tank in what fraction of the time it would have taken the large pump alone ?
(a) 4/7 (b) 1/3 (c) 2/3 (d) 3/4


Detailed Solution

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    1. aknandan

      Q1. a repeat 1,b-2,c-3,d-4 ,
      use 1(a)+2(b,b)+3(c,c,c) ….=n(n+1)/2 =288
      find n.(by hit and trail like n=23, the (23X24)/2=276 and proceed, ex- 28th(a.b,b,c,c,c… term is last of 7th(1+2+3+4+5+6+7(g)+..
      276this the end of23th term, so 24th term is X. since X repeat 24 times so 288th is X

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