1.  If + means *, * means -, ÷ means + and - means ÷, then which of the following gives the result of 175 - 25 ÷ 5 + 20 * 3 + 10 ?


77
160
240
2370


Answer

 Option

175 ÷ 25 + 5 * 20 - 3 * 10 = 7 + 5 * 20 - 3 * 10 = 7 + 100 - 30 = 107 - 30 = 77

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2.  If A + D = B + C, A + E = C + D, 2C < A + E and 2A > B + D, then


A > B > C > D > E
B > A > D > C > E
D > B > C > A > E
B > C > D > E > A


Answer

 Option

2C < A + E, A + E = C + D ==> 2C < C + D ==> C < D ...(i) A + D = B + C, C < D ==> A < B ....(ii) 2A > B + D, A < B ==> A > D ....(iii) A + E = C + D, A > D ==> E < C ....(iv) From (i), (ii), (iii) and (iv), we get : B > A > D > C > E.

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3.  If A + B > C + D, B + E = 2C and C + D > B + E, it necessarily follows that


A + B > 2E
A + B > 2C
A > C
A + B > 2D


Answer

 Option

A + B > C + D, C + D > B + E, B + E = 2C ==> A + B > 2C.

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4.  If A + C = D + E, B + 2C = D + 2E, C - E > E - B and 2C > A + D, then


D > B > C > A > E
A > B > C > D > E
D > C > A > E > B
C > B > E > D > A


Answer

 Option

A + C = D + E ==> C - E = D - A ...(i) B + 2C = D + 2E ==> 2C - 2E = D - B ==> C - E = D - B2 ...(ii) From (i) and (ii) we get : D - A = D - B2 ==> D - B > D - A ==> -B > -A ==> B < A. B + 2C = D + 2E, 2C > A + D ==> B + A + D < D + 2E ==> B + A < 2E Now, B + A < 2E, B < A ==>A > E, E >B ...(iii) A + C = D + E, A > E ==>C < D ==> D > C ...(iv) 2C > A + D, C < D ==> C > A. ....(v) From (iii), (iv) and (v) we have : D > C > A > E > B.

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5.  If A > B, B> C and C > D, then which of the following conclusions is definitely wrong ?


A > D
A > C
D > A
B > D


Answer

 Option

A > B, B > C, C > D ==> A > B > C > D == > A > D ==> D > A. so, (c) is false.

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