Ashima bought 23 things from the market. She bought five more jeans than shirts and two fewer watches than jeans. If x represents the number of shirts in total, then which sentence can be used to find how many of each thing are bought?
A x + (x + 5) + (x + 3) = 23
B x + (x - 5) + (x - 3) = 23
C (x + 5) + (x + 3) = 23
D x + (x + 3) = 23
Fill in the blanks:
(i) Data means information in the form of _P __.
(ii) Data obtained in the _Q __form is called row data.
(iii) The number of times a particular observation occurs is called its _R __.
(iv) Arranging the numeral figures in an ascending or descending order is called an/a _S __.
In ΔDEF and ΔPQR, DE = DF, ∠F = ∠P and ∠E = ∠Q. The two triangles are
A Isosceles but not necessarily congruent
B Isosceles and congruent
C Congruent but not isosceles
D Neither congruent nor isosceles
The answer should be (B). It is because if angleE = angleQ and angleF = angleP, then angleD = angleR so the triangles are similar. Also, we can see that angleE = angleQ and angleF = angleP, so DE = QR and DF = PR, but DE=DF, so QR=PR and hence both triangles are both congruent and isosceles.