IBPS Clerk Main: Quants Day 18

Hello Aspirants,

Welcome to Online Quant Section in AffairsCloud.com. We are starting IBPS Clerk course 2015 and we are creating sample questions in Quantitative Aptitude section, type of which will be asked in IBPS Clerk Main Exam.

Stratus – IBPS Clerk Course 2015 

Stratus - IBPS Clerk - Daily Test - Quants
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  1. 5x2 + 17x – 12 = 0, 5y2 – 18y + 9 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    Answer & Explanation
    D) x ≤ y
    Explanation:

    5x2 + 17x – 12 = 0
    5x2 + 20x – 3x – 12 = 0
    Gives x = -4, 3/5
    5y2 – 18y + 9 = 0
    5y2 – 15y – 3y + 9 = 0
    Gives y = 3/5, 3
    Put on number line
    -4          3/5               3
  2. 3x2 + 14x + 8 = 0, 3y2 – 4y – 4 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    Answer & Explanation
    D) x ≤ y
    Explanation:

    3x2 + 14x + 8 = 0
    3x2 + 12x + 2x + 8 = 0
    Gives x = -4, -2/3
    3y2 – 4y – 4 = 0
    3y2 – 6y + 2y – 4 = 0
    Gives y = -2/3, 2
    Put on number line
    -4       -2/3         2
  3. x = √1849, y2 = 1156
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    Answer & Explanation
    A) x > y
    Explanation:

    x = √1849
    Gives, x = 43
    y2 = 1156
    Gives y = -34, 34
    Put on number line
    -34          34              43
  4. 4x + 5y = 75, 5x + 4y = 69
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    Answer & Explanation
    B) x < y
    Explanation:

    Multiply first equation by 4 and second by 5 and subtract
    16x + 20y = 300, 25x + 20y = 345
    Subtract
    -9x = -45
    Gives x = 5
    Put x = 5 in one of the given equations, and find y
    4(5) + 5y = 75
    Gives y = 11
    Put on number line
    5      11
  5. 6x2 – 5x – 6 = 0, 3y2 – 7y – 6 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    Answer & Explanation
    E) x = y or relationship cannot be determined
    Explanation:

    6x2 – 5x – 6 = 0
    6x2 – 9x + 4x – 6 = 0
    Gives, x = -2/3, 3/2
    3y2 – 7y – 6 = 0
    3y2 – 9y + 2y – 6 = 0
    Gives, y = -2/3, 3
    Put on number line
    -2/3           3/2            3
    When x = -2/3, x ≤ y
    When x = 3/2, x > y(-2/3) and also x < y(3)
    No so relationship.

DIRECTIONS (6 – 10) : These questions are to be answered on the basis of the pie chart given below showing how a person’s monthly salary is distributed over different expense heads.main_day18

  1. For a person, whose monthly salary is Rs 6,000, how many items are there on which he has to spend more than Rs 1,000 per month ?
    A) None
    B) 1
    C) 2
    D) 3
    E) 4
    Answer & Explanation
    C) 2
    Explanation:

    Shortcut-
    (x/100)*6000 = 1000, gives x = 16.67%
    So the ones having more expense % than 16.67% which is house rent and savings
  2. The annual saving for such a person will be approximately:
    A) Rs 15050
    B) Rs 16560
    C) Rs 15500
    D) Rs 16500
    E) None of these
    Answer & Explanation
    B) Rs 16560
    Explanation:

    Savings over month = (23/100)*6000 = 1380
    So annually = 1380*12 = 16560
  3. The monthly salary for a person who follows the same expense pattern, but has a petrol expense of Rs 500 per month is
    A) Rs 2500
    B) Rs 3500
    C) Rs 5000
    D) Rs 6500
    E) Rs 6600
    Answer & Explanation
    C) Rs 5000
    Explanation:

    (10/100)*x = 500
  4. If the monthly salary of a person is Rs 12,000, then approximately by how much % is his expenses on entertainment more than on clothes?
    A) 96%
    B) 114%
    C) 120%
    D) 83%
    E) None of these
    Answer & Explanation
    B) 114%
    Explanation:

    Exp. on enter. = (15/100)*12,000 = 1800
    Exp. on clothes = (7/100)*12,000 = 840
    Required % = (1800-840)/840 * 100
  5. The angle made at the centre of the pie chart by the sector representing the expense on food is :
    A) 30o
    B) 45o
    C) 54o
    D) 75o
    E) 90o
    Answer & Explanation
    C) 54o
    Explanation:

    (15/100)*360 = 54