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Question 461

RBI Assistant 2022• Numerical Ability

Amar borrowed Rs. 10000 from Sachin at simple interest. After 4 years, Sachin received Rs. 5000 more than the amount given to Amar on loan. Find the rate of interest.

  1. AOption (a)

    12.5%

  2. BOption (b)

    25%

  3. COption (c)

    20%

  4. DOption (d)

    4%

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

12.5%

Why this answer is correct

Given:

The amount borrowed by Amar = Rs. 10000

Time = 4 years

The extra amount received by Sachin = Rs. 5000

Concept used:

The extra amount Sachin gets is the interest.

Simple Interest = Principal × rate × time/100

Calculation:

Simple Interest = Rs 5000 

⇒ 5000 = 10000 × rate × 4/100

⇒ Rate = 50/4

∴ Rate % = 12.5%

Question 462

RBI Assistant 2022• Numerical Ability

Mohan can do a piece of work in 10 days and Sohan in 15 days. They started working together, but after 3 days  Mohan left the work. What time will Sohan take to finish the remaining work?

  1. AOption (a)

    15/2 days

  2. BOption (b)

    18 days 

  3. COption (c)

    15 days 

  4. DOption (d)

    5/2 days 

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

15/2 days

Why this answer is correct

Given

Mohan can do a piece of work in 10 days

Sohan can do a piece of work in 15 days

Formula Used

(A + B)’s one day work = (1/x + 1/y)

Calculation

Mohan ‘s one day work = 1/10    

Sohan’s one day work = 1/15

(Mohan + Sohan)’s one day work = 1/10 + 1/15 = (3 + 2)/30 = 5/30 = 1/6

Since Mohan and Sohan have worked together for 3 days.

(Mohan + Sohan)’s 3 day work = 3/6 = 1/2

Remaining work  = 1 – 1/2 =  1/2

Now this work has to be done by Sohan. Sohan can do one work in 15 days

∴Sohan can do the 1/2 of the work in 15 × 1/2 = 15/2 days.

Question 463

RBI Assistant 2022• Numerical Ability

Rajiv's boat can travel along the current at the 8 km/hour and against the current at the rate 6 km/hour. Find the time taken by the boat to sail 28 km in still water.

  1. AOption (a)

    4 hours 

  2. BOption (b)

    5 hours 

  3. COption (c)

    6 hours 

  4. DOption (d)

    7 hours 

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

4 hours 

Why this answer is correct

Given

Speed of Rajiv’s boat in downstream = 8 km/hour

Speed of Rajiv’s boat in upstream = 6 km/hour

Formula used

Speed of boat in still water = (Speed Downstream + Speed upstream)/2

Time = Distance/ Speed

Calculation

Speed of Rajiv’s boat in still water = (8 + 6)/2 Km/hour

⇒ 14/2 = 7 Km/hour

Required time = 28 km/7 Km/hour = 4 hours

∴ Time taken by Rajiv’s boat to travel 28 km is 4 hours.

Question 464

RBI Assistant 2022• Numerical Ability

Ram, Bharat and Sham signed agreement of partnership in the ratio 7/2 : 4/3 : 6/5 . After 4 months, Ram increases his share 50%. If the total profit at the end of one year be Rs. 16,200, then sham's share in the profit is:

  1. AOption (a)

    Rs 2,700

  2. BOption (b)

    Rs 3,000

  3. COption (c)

    Rs 4,000

  4. DOption (d)

    Rs 5,000

  5. EOption (e)

    None of these 

View answer & explanation

Correct answer

Answer: (a)A.

Rs 2,700

Why this answer is correct

Given:

Ram : Bharat : Sham = 7/2 : 4/3 : 6/5 

Formula:

Profit = Investment × time

Calculations:

Ratio of the initial investment = 7/2 : 4/3 ​: 6/5​

⇒ 105 : 40 : 36

So the actual investment of Ram, bharat, sham = 105x, 40x and 36x

Ram increases his share 50% after 4 months.

Hence the ratio of their investments

⇒ (105x × 4) + (105x × 150/100 ​× 8) : 40x × 12 : 36x × 12

⇒ 1680x ∶ 480x : 432x

⇒ 35 : 10 : 9

⇒ Sum of ratio = 35 + 10 + 9 = 54

⇒ Sham’s profit = (9/54) ​× 16,200 = 2700 Rs.

∴ sham's share in the profit is Rs 2,700

Question 465

RBI Assistant 2022• Numerical Ability

Length of a rectangle is 3 cm more than width of rectangle and the difference between area of circle and area of rectangle is 84 cm2. Fiind the length of rectangle if radius of circle is 7 cm.  (circle > rectangle)

  1. AOption (a)

    8 cm

  2. BOption (b)

    10 cm

  3. COption (c)

    7 cm

  4. DOption (d)

    14 cm

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

10 cm

Why this answer is correct

Shortcut Trick

Area of circle = (22/7) × 72 = 154 cm2.

Area of rectangle = 154 − 84 = 70 cm2.

Let width = x, then length = x + 3. So, x(x + 3) = 70.

By inspection, 7 × 10 = 70, where 10 − 7 = 3. Thus, length = 10 cm.

∴ The correct answer is 10 cm.

Alternate Method

Given: Radius (r) = 7 cm, Difference in areas = 84 cm2, Length (L) = Width (W) + 3 cm.

Formula Used: Area of circle = πr2; Area of rectangle = L × W.

⇒ Area of Circle = (22/7) × 7 × 7 = 154 cm2.

⇒ Area of Rectangle = 154 − 84 = 70 cm2.

⇒ L × W = 70

⇒ (W + 3) × W = 70

⇒ W2 + 3W − 70 = 0

⇒ W2 + 10W − 7W − 70 = 0

⇒ W(W + 10) − 7(W + 10) = 0

⇒ W = 7 cm (ignoring negative value)

⇒ Length = 7 + 3 = 10 cm.

∴ The correct answer is 10 cm.

Additional Information

Properties of Rectangles

Perimeter of a rectangle is 2 × (length + width). The diagonals are equal and bisect each other.

Circle Mensuration

Circumference of a circle = 2πr. For a radius of 7 cm, the circumference is always 44 cm and the area is 154 cm2.

Quadratic Roots Shortcut

For x2 + bx + c = 0, if c is negative, the roots have opposite signs. Find factors of c that differ by b.

Question 466

RBI Assistant 2022• Reasoning Ability

Direction: Read the following information and answer the following questions.

Eight persons whose names begin with A, B, P, C, D, O, Q, and E are sitting around a circular table facing inward. Persons, whose names start with a vowel, do not sit adjacent to each other.

A sits 3rd to the right of D. Two persons sit between P and A. B sits adjacent to O, who sits 4th to the right of E. Q sits 3rd to the left of O.

Who sits 2nd to the right of B?

  1. AOption (a)

    O

  2. BOption (b)

    P

  3. COption (c)

    A

  4. DOption (d)

    C

  5. EOption (e)

    Q

View answer & explanation

Correct answer

Answer: (b)B.

P

Why this answer is correct

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

  1. A sits 3rd to the right of D.

2) Two persons sit between P and A.

  1. B sits adjacent to O, who sits 4th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

  1. Q sits 3rd to the left of O.

Thus, case 2 gets eliminated.

Hence, P sits 2nd to the right of B.

Question 467

RBI Assistant 2022• Reasoning Ability

Direction: Read the following information and answer the following questions.

Eight persons whose names begin with A, B, P, C, D, O, Q, and E are sitting around a circular table facing inward. Persons, whose names start with a vowel, do not sit adjacent to each other.

A sits 3rd to the right of D. Two persons sit between P and A. B sits adjacent to O, who sits 4th to the right of E. Q sits 3rd to the left of O.

___ sits 5th to the left of C.

  1. AOption (a)

    B

  2. BOption (b)

    A

  3. COption (c)

    Q

  4. DOption (d)

    E

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (c)C.

Q

Why this answer is correct

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

  1. A sits 3rd to the right of D.

2) Two persons sit between P and A.

  1. B sits adjacent to O, who sits 4th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

  1. Q sits 3rd to the left of O.

Thus, case 2 gets eliminated.

Hence, Q sits 5th to the left of C.

Question 468

RBI Assistant 2022• Reasoning Ability

Direction: Read the following information and answer the following questions.

Eight persons whose names begin with A, B, P, C, D, O, Q, and E are sitting around a circular table facing inward. Persons, whose names start with a vowel, do not sit adjacent to each other.

A sits 3rd to the right of D. Two persons sit between P and A. B sits adjacent to O, who sits 4th to the right of E. Q sits 3rd to the left of O.

Who is sitting opposite O?

  1. AOption (a)

    E

  2. BOption (b)

    A

  3. COption (c)

    B

  4. DOption (d)

    P

  5. EOption (e)

    C

View answer & explanation

Correct answer

Answer: (a)A.

E

Why this answer is correct

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

  1. A sits 3rd to the right of D.

2) Two persons sit between P and A.

  1. B sits adjacent to O, who sits 4th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

  1. Q sits 3rd to the left of O.

Thus, case 2 gets eliminated.

Hence, E is sitting opposite O.

Question 469

RBI Assistant 2022• Reasoning Ability

Direction: Read the following information and answer the following questions.

Eight persons whose names begin with A, B, P, C, D, O, Q, and E are sitting around a circular table facing inward. Persons, whose names start with a vowel, do not sit adjacent to each other.

A sits 3rd to the right of D. Two persons sit between P and A. B sits adjacent to O, who sits 4th to the right of E. Q sits 3rd to the left of O.

Four of the five are alike in a certain way and thus form a group. Find the one that does not belong to that group.

  1. AOption (a)

    EQ

  2. BOption (b)

    OP

  3. COption (c)

    BO

  4. DOption (d)

    ED

  5. EOption (e)

    CA

View answer & explanation

Correct answer

Answer: (e)E.

CA

Why this answer is correct

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

  1. A sits 3rd to the right of D.

2) Two persons sit between P and A.

  1. B sits adjacent to O, who sits 4th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

  1. Q sits 3rd to the left of O.

Thus, case 2 gets eliminated.

Here,

EQ → Both sit adjacent to each other.

OP → Both sit adjacent to each other.

BO → Both sit adjacent to each other.

ED → Both sit adjacent to each other.

CA → Both do not sit adjacent to each other.

Hence, CA does not belong to the group.

Question 470

RBI Assistant 2022• Reasoning Ability

Direction: Read the following information and answer the following questions.

Eight persons whose names begin with A, B, P, C, D, O, Q, and E are sitting around a circular table facing inward. Persons, whose names start with a vowel, do not sit adjacent to each other.

A sits 3rd to the right of D. Two persons sit between P and A. B sits adjacent to O, who sits 4th to the right of E. Q sits 3rd to the left of O.

Who is sitting at the immediate left of B? 

  1. AOption (a)

    A

  2. BOption (b)

    P

  3. COption (c)

    Q

  4. DOption (d)

    E

  5. EOption (e)

    O

View answer & explanation

Correct answer

Answer: (a)A.

A

Why this answer is correct

8 Persons whose names begin with: A, B, P, C, D, O, Q, and E

  1. A sits 3rd to the right of D.

2) Two persons sit between P and A.

  1. B sits adjacent to O, who sits 4th to the right of E.

5) Persons, whose names start with a vowel, do not sit adjacent to each other.

  1. Q sits 3rd to the left of O.

Thus, case 2 gets eliminated.

Hence, A is sitting at the immediate left of B.

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