number systems Model Questions & Answers, Practice Test for ibps po prelims

Answer: (a)

Let us take a proper fraction, such as $1/2$.

Now, the new fraction = ${1 + 2}/{2 + 2} = 3/4$

Thus, $3/4>1/2$

Answer: (b)

Answer: (a)

On dividing 427398 by 15,

we get remainder = 3.

∴ Required number to be subtracted = 3.

Answer: (b)

Let the two-digit number be

= 10 x + y, where x < y.

Number obtained after interchanging the digits

= 10 y + x

According to the question,

10 y + x – 10 x – y = 9

or, 9y – 9x = 9

or, 9(y –x) = 9

or, y – x = 1 ...(i)

and x + y = 15 ...(ii)

From equations (i) and (ii),

y = 8 and x = 7

∴ Required product = 8 × 7 = 56

Answer: (c)

Let angles of a triangle in AP are a, a + d, a + 2d.

Also, a + 2d = 2a (given condition)

⇒ a = 2d ...(i)

Also, a + a + d + a + 2d = 180º

(q sum of angles of triangle = 180º)

⇒ 3a + 3d = 180º

⇒ $3a + 3(a/2)$ = 180º [from Eq. (i)]

⇒ 9a = 360º

⇒ a = 40º, d = 20º

∴ Ratio of angles = 40º : 60° : 80° = 2 : 3 : 4