ratio and proportion Model Questions & Answers, Practice Test for ibps clerk prelims 2024

Question :1

Divide 56 into two parts such that three times the first part exceeds one third of the second by 48. The parts are :

Answer: (c)

Let the firth part be x, then second part will be (56 – x)

According to the question

$3x - {1/3}(56-x)=48⇒3x-{{56}/3} + {x/3}$ = 48

$3x + {x/3}= 48+ {{56}/3} ⇒ {10x}/{3}={200}/3$

∴ x = ${200}/{10}$ = 20 and y = 56 - 20 = 36

Question :2

In two alloys, the ratio of iron and copper is 4 : 3 and 6 : 1, respectively. If 14 kg of the first alloy and 42 kg of the second alloy is mixed together to form a new alloy, then what will be the ratio of iron to copper in the new alloy ?

Answer: (c)

 Iron Copper 
Alloy I8:614 kg.
Alloy II 36:642 kg.
 44:1256 kg.

Question :3

Rs. 120 is distributed among A, B and C so that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share?

Answer: (b)

Let share of A be x

share of B = x – 20

share of C = x + 20

According to the question

x + x – 20 + x + 20 = 120

⇒3x = 120 ∴ x = ${120}/3$ = 40

Hence, share of B = 40 – 20 = 20

Question :4

The scale of map is $3/4$ of cm = 1 km. If the distance on the map between two towns is 60 cm, then the actual distance is

Answer: (a)

Let actual distance be x km. Then,

$3/4$ : 1 : : 60 : x

⇒$3/4$ x = 60⇒x=${240}/{3}$ = 80km

Question :5

Sarita started a boutique investing an amount of Rs. 50,000. Six months later Neeta joined her with an amount of Rs. 80,000. At the end of one year they earned a profit of Rs. 18, 000. What is Sarita's share in the profit?

Answer: (d)

Ratio of capital = 50000 × 12 : 80000 × 6 = 5 : 4

∴ Sarita's share = ${18000 × 5}/{(5 + 4)}$ = Rs.10000

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