Miscellaneous Question 67

In each question, there are two different statements given as Quantity I and Quantity II. You have to consider the statements individually and mark your answer accordingly as per the given condition.

(1) Quantity I > Quantity II

(2) Quantity I $<$ Quantity II

(3) Quantity I $\geq$ Quantity II

(4) Quantity I $\leq$ Quantity II

(5) Quantity I = Quantity II or relationship cannot be determined

(Canara Bank PO Exam, 23.12.2018)

  1. Quantity I : Percentage of cement in Mortar. $900$ $ kg$ of mortar consists of $45 \%$ sand, $144$ $ kg$ of lime and the rest cement.

Quantity II : Percentage of apples thrown by vendor. A vendor sells $60 \%$ of apples he had and throws away $15 \%$ of the remainder. Next day he sells $50 \%$ of the remainder and throws away the rest.

Show Answer

Correct Answer: 67. (1)

Solution: 67. (1) Quantity - I :

Quantity of sand

$=\frac{900 \times 45}{100}=405 \mathrm{kg}$.

$\therefore$ Quantity of cement

$=(900-405-144) \mathrm{kg}$.

$=351 \mathrm{kg}$

$\therefore$ Percentage of cement

$=\frac{351}{900} \times 100=39 \%$

Quantity - II :

Original number of apples with the vendor $=100$

Number of apples thrown on day

one $=\frac{40 \times 15}{100}=6$

On day two,

Remaining apples

$=40-6=34$

$\therefore$ Number of apples thrown $=17$

$\therefore$ Percentage of apples thrown

$=17+6=23$

i.e., $23 \%$

Clearly, quantity I > quantity II