TS Police SI Prelims 2022 · Question 95

Question 95 of the TSLPRB SI Preliminary Written Test 2022 (7 August 2022). Try it first, then open the answer and explanation.

1. SI Prelims 2022 · Q95 · Reasoning & Mental Ability · Non-verbal Reasoning

   A Solid cube of 4 inches edge has been painted with red, green and yellow colours such that each colour appears on a pair of opposite faces. It has been cut into one inch cubes. The number of small one inch cubes that have only one face painted with red colour is

   1. 16
   2. 24
   3. 8
   4. 32

   4 అంగుళాల అంచు గల ఒక గట్టి ఘనము యొక్క ఎదురెదురు ముఖములపై ఎరుపు, ఆకుపచ్చ, పసుపు రంగులు వేయబడినవి. 1 అంగుళం అంచు గల చిన్న ఘనములుగా ఆ ఘనమును ఖండించారు. ఒకే ఒక ముఖముపై ఎరుపు రంగు కలిగిన ఒక అంగుళం ఘనముల సంఖ్య.

   1. 16
   2. 24
   3. 8
   4. 32
   Show answer

   Answer: (3) 8

   సమాధానం: (3) 8

   Each face is a 4 × 4 layer of small cubes, and only the inner (4 - 2)² = 4 cubes on a face have just one painted face (the rest lie on edges). Red is on two opposite faces, so 2 × 4 = 8 cubes have only one face painted, and it is red.

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