Simplification - Study Mode

[#231] (71 × 29 + 27 × 15 + 8 × 4) equals = ?
Correct Answer

(C) 2496

Explanation

Solution: 71 × 29 + 27 × 15 + 8 × 4 = 2059 + 405 +32 = 2496

[#232] Given that $$sqrt {24} $$ xa0is approximately equal to $${ ext{4}}{ ext{.898}}{ ext{. }}sqrt {frac{8}{3}} $$ xa0 is nearly equal to =?
Correct Answer

(C) 1.633

Explanation

Solution: $$eqalign{
& { ext{According to question,}} cr
& Rightarrow sqrt {frac{8}{3}} cr
& Rightarrow sqrt {frac{{8 imes 3}}{{3 imes 3}}} cr
& Rightarrow sqrt {frac{{24}}{9}} cr
& Rightarrow frac{{4.898}}{3} cr
& Rightarrow 1.633 cr} $$

[#233] A canteen requires 798 bananas for a week. Total how many bananas did it require for the months of January, February and March 2008?
Correct Answer

(B) 10374

Explanation

Solution: $$eqalign{
& { ext{Number of bananas required daily}} cr
& { ext{ = }}frac{{798}}{7} cr
& = 144 cr
& herefore ,,,{ ext{Required number}} cr
& { ext{ = }}left[ {114 imes left( {mathop {31}limits^{{ ext{Jan}}} + mathop {29}limits^{{ ext{Feb}}} + mathop {31}limits^{{ ext{Mar}}} }
ight)}
ight] cr
& = left( {114 imes 91}
ight) cr
& = 10374 cr} $$

[#234] What is the maximum number of half - pint bottles of cream that can be filled with a 4-gallon can of cream? (2pt. = 1qt. and 4qt. = 1gal.)
Correct Answer

(D) 64

Explanation

Solution: $$eqalign{
& { ext{4 gal}} cr
& { ext{ = (4}} imes { ext{4)qt}} cr
& { ext{ = 16 qt}} cr
& { ext{ = }}left( {16 imes 2}
ight){ ext{pt}} cr
& { ext{ = 32 pt}} cr
& herefore { ext{Number of botteles}} cr
& { ext{ = }}frac{{32}}{{frac{1}{2}}} cr
& { ext{ = 64}} cr} $$

[#235] Which of the following values of x and y satisfy the following equations i and ii? i. 3x + y = 19 ii. x - y = 9
Correct Answer

(C) 7, -2

Explanation

Solution: $$eqalign{
& { ext{3}}x + y = 19,.....(i) cr
& x - y = 9,.....(ii) cr
& { ext{Adding (i) and (ii),}} cr
& { ext{we get }} cr
& { ext{4}}x = 28 cr
& x = 7 cr
& { ext{Putting }}x,{ ext{ = 7}},{ ext{in (i),}} cr
& { ext{we get }} cr
& 3x + y = 19 cr
& 21 + y = 19 cr
& y = 19 - 21 = - 2 cr
& { ext{Answer is 7, }} - { ext{2}} cr} $$