CA Foundation · Quantitative Aptitude · Direction Tests
Neha moves 24 m north from point P to point Q, then turns east and moves 10 m to point R. If she walks straight from R back to P, what is the distance she covers on this last leg, and what is the shortest-distance saving compared with returning via Q?
The direct leg from R to P is 26 m, since sqrt(24 squared plus 10 squared) is sqrt(676). Returning via Q would be 10 + 24 = 34 m, so walking straight saves 8 m.
- A26 m; saving 8 mCorrect
- B26 m; saving 34 m
- C24 m; saving 10 m
- D28 m; saving 6 m
Explanation
PR = sqrt(24 squared + 10 squared) = sqrt(676) = 26 m. Returning via Q would need 10 + 24 = 34 m. Saving = 34 - 26 = 8 m. The option showing saving 34 m wrongly uses the whole detour length.
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