The page provides you the solutions to Mathematics part of SSC CGL papers in the most 'simple to understand' and 'easy to comprehend' form.
SSC CGL 2017 EXAM PAPER: Held on 09-AUG-2017 Shift-1 (Mathematics)
QID: 02 - A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient? Options: 1) A 2) B 3) C 4) A or B
Sol: We have three equations representing the efficiencies of A, B and C.:
A+B+C = 100 (Work is completed by A, B and C) (1)
A+B = 60 (Work is completed by A and B. (2)
B+C = 70 (Work is completed by B and C) (3)
Equation (1) and (2) give, C = 40; Equation (1) and (3) give, A = 30;
And these two values being substituted in (1) gives B = 30.
Hence, C is most efficient. Correct Option: (C)
Qu. ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal? Options: 1) 14 2) 14√2 3) 7 4) 7√2.
(SSC CGL 2017 EXAM PAPER: Held on 08-AUG-2017 Shift-3)
Qu. In the given figure, PQRS is a square and SRT is an equilateral triangle. What is the value (in degree) of SOR? Options:
1) 45 2) 55 3) 60 4) 75
(SSC CGL 2017 EXAM PAPER: Held on 08-AUG-2017 Shift-3)
All angles are in degree.
Angle TSO = Angle TSR -Angle OSR = 60 – 45 = 15.
Angle SOR = 180 – { Angle OSR + Angle ORS}
= 180 – {(Angle TSR - Angle TSO)} + 60}
= 180 – {60 – 15 + 60} = 75
Correct Option: (4)