# LRDI-04 DS with Solutions.pdf - Data Sufficiency LRDI - 04...

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Page 1LRDI - 04Data SufficiencyDirections for questions 1 to 27:Each of thefollowing questions given below is followed by twostatements, I and II. Mark the answer using thefollowing instructions:Mark (1)if the question can be answered by usingone of the statements alone, but cannotbe answered by using the other statementalone.Mark (2)if the question can be answered by usingeither statement alone.Mark (3)if the question can be answered by usingboth the statements together, but cannotbe answered by using either statementalone.Mark (4)if the question cannot be answered evenby using both the statements together.1.Is a ball point pen costlier than an ink pen?I.The cost of 5 sets of 4 ball pointand 3ink pens is the same as the cost of 4sets of 3 ball pointand 5 ink pens.II.The cost of 6 sets of 6 ball pointand 4ink pens is the same as the cost of 12sets of 3 ball pointand 2 ink pens.2.There are three rods of lengths L1cm, L2cmand L3cm such that no two of them are of thesame length. If L1, L2and L3are integers,can we exactly measure X cm using the threerods, where X is an integer?I.L1+ L2= 100 cmII.L2+ L3= 201 cmNumber of Questions :30LRDI - 04CEX-D-0276/183.IsPQR a right angled triangle?PQRI.QP0− ∠>II.The value ofPQR+ ∠is equal to 1.4.If m and n are consecutive positive integers,is m > n?I.m – 1 and n + 1 are consecutive positiveintegers.II.m is an even integer.5.If a, b and c are integers, is (a – b + c) greaterthan (a + b – c)?I.b is positive.II.c is negative.6.Harpu, who is a non-vegetarian, eats chickenonly on Tuesdays, Saturdays and Sundays.Did he eat chicken today?I.He ate chicken yesterday.II.He ate chicken two days beforeyesterday.
LRDI - 04Page 27.XEN is a three-digit number, where X, E andN are single-digit whole numbers. What isthe value of‘X’?I.The sum of the square of the first X naturalnumbers is 55.II.X2+ 2X – 15 = 0.8.ABRrO21OFind the area of the shaded portion in theabove figure.I.R – r = 2 cmII.AB, the length of which is 6 cm, is a chordof bigger circle and tangent to the smallercircle.9.Points P and Q lie on diagonal BD of rectangleABCD. Find the area of rectangle ABCD.I.The lengths of perpendiculars droppedfrom P on AD and BC are 2 cm and 4 cmrespectively. The lengths of perpendicularsdropped from Q on BC and CD are 3 cmand 4 cm respectively.II.The lengths of perpendiculars droppedfrom P on CD and AD are 1 cm and 2 cmrespectively. The lengths of perpendicularsdropped from Q on BC and CD are 4 cmand 3 cm respectively.10.A, B, C are positive integers such thatA < B < C. Is C – A even?I.A × B × C is an odd natural number.II.AB + BC + CA is an even natural number.11.What is the area of the region bounded bylines L and M and the coordinate axes in thefirst quadrant?

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