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Q:

A semicircular shaped window has diameter of 63cm. Its perimeter equals

A) 162	B) 132
C) 142	D) 172

Answer & Explanation Answer: A) 162

Explanation:

perimeter of window = $π$ r+2r

= [(22/7) x (63/2) + 63] = 99+63 = 162 cm

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is

A) a	B) 2a
C) 5a	D) 3a

Answer & Explanation Answer: B) 2a

Explanation:

Area of a square with side a = a² sq unts

Area of a triangle with base a = (1/2) * a * h sq.unts

a² =1/2 *a *h

=> h = 2a

altitude of the triangle is 2a

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

The perimeters of two squares are 40cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

A) 12	B) 24
C) 36	D) 48

Answer & Explanation Answer: B) 24

Explanation:

side of first square = 40/4 =10cm

side of second square = 32/4 = 8cm

area of third squre = 10² - 8² = 36 sq cm

side of third square = $\sqrt{36}$ = 6 cm

required perimeter = 6*4 = 24cm

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Filed Under: Area
Exam Prep: Bank Exams
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Q:

The charge on positron is equal to the charge on

A) proton	B) electron
C) alpha- particle	D) neutron

Answer & Explanation Answer: A) proton

Explanation:

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Filed Under: Chemistry

Q:

Other things being equal, would an investor prefer an interest rate of 10.5% compounded monthly or 11% compounded annually for a two-year investment?

A) 1232	B) 1243
C) 1254	D) 1262

Answer & Explanation Answer: A) 1232

Explanation:

i=j/m

FV= PV(1+ i)^n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.

A) Rs.625	B) Rs.626
C) Rs.286	D) Rs.627

Answer & Explanation Answer: A) Rs.625

Explanation:

Let the two parts be Rs. x and Rs. (1301 - x).

$x {(1 + \frac{4}{100})}^{7} = (1301 - x) {(1 + \frac{4}{100})}^{9}$

$\frac{x}{(1301 - x)} = {(1 + \frac{4}{100})}^{2} = (\frac{26}{25} * \frac{25}{26})$

=> 625x=676(1301-x)

1301x=676 x 1301x=676.
So,the parts are rs.676 and rs.(1301-676)i.e rs.676 and rs.625

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

A) 30	B) 40
C) 10	D) 20

Answer & Explanation Answer: B) 40

Explanation:

Volume of the block = (6 x 12 x 15) cu.cm = 1080 cu.cm

Side of the largest cube = H.C.F. of 6 cm, 12 cm, 15 cm

= 3 cm.

Volume of this cube = (3 x 3 x 3) cu.cm = 27 cu.cm

Number of cubes = $\frac{1080}{27}$ = 40.

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Filed Under: Volume and Surface Area

Q:

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

A) 1/3	B) 1/2
C) 1/4	D) 1/6

Answer & Explanation Answer: B) 1/2

Explanation:

Total number of elementary events = 52

There are 26 red cards,out of which one red card can be drawn in $26 C_{1}$ ways =26.

So,required probability = 26/52 = 1/2

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Filed Under: Probability

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