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Question 61

LIC ADO 2023• Numerical Ability

A takes a loan of Rs. 1500  from a bank at the rate of 10% simple interest for 3 years and lends to B at the rate of 15% for the same time period. Find the overall profit of A in the whole transaction. 

  1. AOption (a)

    Rs. 375

  2. BOption (b)

    Rs. 275

  3. COption (c)

    Rs. 225

  4. DOption (d)

    Rs. 325

  5. EOption (e)

    Rs. 255

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 225

Why this answer is correct

Shortcut TrickOverall profit of A = Interest paid by B to A - Interest paid by A to Bank 

The overall profit of A = P × [R2 - R1] × T/100, 

The overall profit of A = 1500 × [15 - 10] × 3/100

The overall profit of A = Rs. 225

 

Alternate Method Given:

A takes a loan of Rs. 1500

Rate = 10% and Time = 3 years 

A lends Rs. 1500 to B 

Rate = 15% and Time = 3 years 

Formula Used:

S.I = (P × R × T)/100

Where, P = Principal, R = Rate, T = Time 

Calculation:

According to the question

Interest paid by A to the bank (S.I1) = (1500 × 10 × 3)/100

⇒ S.I1 = Rs. 450    ----(i)

Now, 

Interest paid by B to A (S.I2) = (1500 × 15 × 3)/100

⇒ S.I2 = Rs. 675    ----(ii)

Now, we have to find the total profit of A

S.I2 - S.I1 

⇒ 675 - 450

⇒ 225

∴ The overall profit of A in the whole transaction is Rs.225.

Question 62

LIC ADO 2023• Numerical Ability

Sonam borrowed some amount of money from her friend. A sum amounts to Rs. 24200 in 2 years at 10% per annum compound interest. The sum is

  1. AOption (a)

    Rs 18,000

  2. BOption (b)

    Rs 22,000

  3. COption (c)

    Rs 15,000

  4. DOption (d)

    Rs 20,000

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

Rs 20,000

Why this answer is correct

Hint 100 : 121

121 = 24200

1 = 200

Principal= 20000 

Alternate MethodGiven:

Amount = Rs 24200

Rate = 10%

Time = 2 years

Formula used:

If the principal is P, Time period is T, and the rate of interest is r;

Then the amount, when compounded annually, becomes:

A = P (1 + r/100)t

Calculation:

A = P [1 + (r/100)]t

⇒ 24200 = P [1 + (10/100)]2 = P (11/10)2

⇒ P = 24200 × (100/121) = Rs.20000 

∴ The sum is Rs.20000.

Question 63

LIC ADO 2023• Numerical Ability

Ratio of milk and water in a mixture of 50 litres is 4 : 1. 10 litres of the mixture is taken out from the mixture and then 3 litres of milk and 5 litres of water is added to it. Find the final ratio between milk and water.

  1. AOption (a)

    33 : 14

  2. BOption (b)

    36 : 13

  3. COption (c)

    34 : 9

  4. DOption (d)

    35 : 13

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

35 : 13

Why this answer is correct

Shortcut Trick

Remaining Mixture = 50 − 10 = 40 litres.

Ratio 4 : 1 ⇒ Total 5 units = 40 litres ⇒ 1 unit = 8 litres.

Milk = 4 × 8 = 32 litres; Water = 1 × 8 = 8 litres.

Final Milk = 32 + 3 = 35 litres; Final Water = 8 + 5 = 13 litres.

Final Ratio = 35 : 13.

∴ The correct answer is 35 : 13.

Alternate Method

Given: Total mixture = 50 litres, Ratio M:W = 4 : 1.

Formula: Quantity = Total × (Ratio Part / Total Parts).

⇒ Quantity of Milk removed = 10 × (4 / 5) = 8 litres.

⇒ Quantity of Water removed = 10 × (1 / 5) = 2 litres.

⇒ Initial Milk = 50 × (4 / 5) = 40 litres.

⇒ Initial Water = 50 × (1 / 5) = 10 litres.

⇒ New Milk = (40 − 8) + 3 = 35 litres.

⇒ New Water = (10 − 2) + 5 = 13 litres.

⇒ Final Ratio = 35 : 13.

∴ The correct answer is 35 : 13.

Additional Information

Mixture Withdrawal Property

When a portion of a mixture is removed, the ratio of components in the removed part and the remaining part stays the same as the original ratio.

Alligation Rule

Used to find the proportion in which two or more ingredients at a given price/concentration are mixed to produce a mixture of a desired price/concentration.

Replacement Formula

If x units are removed from V volume and replaced with water n times: Final Pure Liquid = Initial Liquid × (1 − x/V)n.

Question 64

LIC ADO 2023• Numerical Ability

The ratio of Marked Price and Selling Price of an article is 8 : 7 and the article is sold at 40% profit. If the Selling Price is Rs. 200 more than the Cost Price, then Find the Cost Price.

  1. AOption (a)

    Rs. 400

  2. BOption (b)

    Rs. 300

  3. COption (c)

    Rs. 550

  4. DOption (d)

    Rs. 600

  5. EOption (e)

    Rs.500

View answer & explanation

Correct answer

Answer: (e)E.

Rs.500

Why this answer is correct

Shortcut Trick

Profit = 40% ⇒ Profit/CP = 2/5. Let Cost Price (CP) = 5 units and Selling Price (SP) = 7 units.

Profit in units = 7 − 5 = 2 units.

Given SP − CP = Rs. 200 ⇒ 2 units = Rs. 200.

1 unit = Rs. 100.

Cost Price = 5 units × Rs. 100 = Rs. 500.

∴ The correct answer is Rs. 500.

Alternate Method

Given → MP : SP = 8 : 7, Profit% = 40%, SP − CP = Rs. 200. Formulas → SP = CP × (100 + P%)/100 | Profit = SP − CP.

⇒ Let CP be x. Profit = 40% of x = 0.4x.

⇒ Given: SP − CP = 200 ⇒ (CP + Profit) − CP = 200.

⇒ Profit = 200 ⇒ 0.4x = 200.

⇒ x = 200/0.4 = 2000/4 = 500.

∴ The correct answer is Rs. 500.

Additional Information

Marked Price & Discount

MP is the price printed on product. Discount = MP − SP. Discount% = (Discount/MP) × 100.

Relation between CP and MP

CP/MP = (100 − D%)/(100 + P%). This is a vital ratio for complex profit/loss problems.

Question 65

LIC ADO 2023• Numerical Ability

The perimeter of the semicircle is 36 cm and the radius of the semicircle and the Breadth of a rectangle is the same. If the area of the Rectangle is 216cm2, Find the length of the rectangle. [Using π = 3]

  1. AOption (a)

    42 cm 

  2. BOption (b)

    28 cm 

  3. COption (c)

    30 cm 

  4. DOption (d)

    25 cm 

  5. EOption (e)

    35 cm

View answer & explanation

Correct answer

Answer: (c)C.

30 cm 

Why this answer is correct

Shortcut Trick

Perimeter of semicircle = r(π + 2) ⇒ 36 = r(3 + 2) ⇒ 36 = 5r

Radius (r) = 36 ÷ 5 = 7.2 cm

Breadth (B) = Radius (r) = 7.2 cm

Length (L) = Area ÷ Breadth = 216 ÷ 7.2 = 30 cm

∴ The correct answer is 30 cm.

Alternate Method

Given: Perimeter of semicircle = 36 cm, Area of rectangle = 216 cm2, π = 3.

Formula: Perimeter of semicircle = πr + 2r; Area of rectangle = Length × Breadth.

⇒ 36 = r(3 + 2)

⇒ 36 = 5r

⇒ r = 7.2 cm

⇒ Breadth (B) = 7.2 cm

⇒ 216 = Length × 7.2

⇒ Length = 216 ÷ 7.2 = 30 cm

∴ The correct answer is 30 cm.

Additional Information

Area of Semicircle

The total region enclosed by a semicircle is given by half the area of a circle: Area = (πr2) ÷ 2.

Perimeter of Rectangle

The total boundary length of a rectangle is calculated as: Perimeter = 2 × (Length + Breadth).

Circle Properties

Circumference of a full circle = 2πr and Area of a full circle = πr2.

Question 66

LIC ADO 2023• Reasoning Ability

Directions: Study the following information to answer the questions.

Ten persons are sitting in two parallel rows containing five-person each in such a way that there is an equal distance between adjacent persons. In row-1 P, Q, R, S, and T are seated and all of them are facing South. In row-2 A, B, C, D, and E are seated and all of them are facing North. Therefore, in the given seating arrangement each member seated in a row faces another member in the other row. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row. The one who faces Q sits second to the right of E. Two persons are sitting between B and E. Neither A nor C sits at an end of the row. The immediate neighbour of A faces the person who sits immediately to the right of Q. R and T are immediate neighbours of each other. T does not face the immediate neighbour of D.

Who among the following is facing P?

  1. AOption (a)

    S

  2. BOption (b)

    R

  3. COption (c)

    Q

  4. DOption (d)

    A

  5. EOption (e)

    B

View answer & explanation

Correct answer

Answer: (e)E.

B

Why this answer is correct

Facing South: P, Q, R, S, and T (Row – 1)

Facing North: A, B, C, D, and E (Row – 2)

  1. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row

(Here, there are two possible cases, Case 1: Q sits at the extreme right end of the row, Case 2: S sits at the extreme left end of the row)

  1. The one who faces Q sits second to the right of E.

  2. Two persons are sitting between B and E.

(Here we can eliminate Case 1)

  1. Neither A nor C sits at an extreme end of the row. 

(So D sits at the extreme end of row 2)

  1. The immediate neighbour of A faces the person who sits immediately to the right of Q.

6)  R and T are immediate neighbours of each other.

  1. T does not face the immediate neighbour of D.

The final arrangement will be as follows.

Hence, B is facing P.

Question 67

LIC ADO 2023• Reasoning Ability

Directions: Study the following information to answer the questions.

Ten persons are sitting in two parallel rows containing five-person each in such a way that there is an equal distance between adjacent persons. In row-1 P, Q, R, S, and T are seated and all of them are facing South. In row-2 A, B, C, D, and E are seated and all of them are facing North. Therefore, in the given seating arrangement each member seated in a row faces another member in the other row. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row. The one who faces Q sits second to the right of E. Two persons are sitting between B and E. Neither A nor C sits at an end of the row. The immediate neighbour of A faces the person who sits immediately to the right of Q. R and T are immediate neighbours of each other. T does not face the immediate neighbour of D.

Which of the following statements is true regarding R?

  1. AOption (a)

    R faces one of the immediate neighbors of D

  2. BOption (b)

    P is one of the immediate neighbors of R

  3. COption (c)

    None of the given statement is true

  4. DOption (d)

    R sits to the immediate right of Q

  5. EOption (e)

    All of the given statements are true

View answer & explanation

Correct answer

Answer: (a)A.

R faces one of the immediate neighbors of D

Why this answer is correct

Facing South: P, Q, R, S, and T (Row – 1)

Facing North: A, B, C, D, and E (Row – 2)

  1. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row

(Here, there are two possible cases, Case 1: Q sits at the extreme right end of the row, Case 2: S sits at the extreme left end of the row)

  1. The one who faces Q sits second to the right of E.

  2. Two persons are sitting between B and E.

(Here we can eliminate Case 1)

 

  1. Neither A nor C sits at an extreme end of the row. 

(So D sits at the extreme end of row 2)

  1. The immediate neighbour of A faces the person who sits immediately to the right of Q.

6)  R and T are immediate neighbours of each other.

  1. T does not face the immediate neighbour of D. 

The final arrangement will be as follows.

Hence, R faces one of the immediate neighbours of the D is a true statement.

Question 68

LIC ADO 2023• Reasoning Ability

Directions: Study the following information to answer the questions.

Ten persons are sitting in two parallel rows containing five-person each in such a way that there is an equal distance between adjacent persons. In row-1 P, Q, R, S, and T are seated and all of them are facing South. In row-2 A, B, C, D, and E are seated and all of them are facing North. Therefore, in the given seating arrangement each member seated in a row faces another member in the other row. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row. The one who faces Q sits second to the right of E. Two persons are sitting between B and E. Neither A nor C sits at an end of the row. The immediate neighbour of A faces the person who sits immediately to the right of Q. R and T are immediate neighbours of each other. T does not face the immediate neighbour of D.

Who among the following is facing T?

  1. AOption (a)

    D

  2. BOption (b)

    E

  3. COption (c)

    B

  4. DOption (d)

    C

  5. EOption (e)

    A

View answer & explanation

Correct answer

Answer: (d)D.

C

Why this answer is correct

Facing South: P, Q, R, S, and T (Row – 1)

Facing North: A, B, C, D, and E (Row – 2)

  1. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row

(Here, there are two possible cases, Case 1: Q sits at the extreme right end of the row, Case 2: S sits at the extreme left end of the row)

  1. The one who faces Q sits second to the right of E.

  2. Two persons are sitting between B and E.

(Here we can eliminate Case 1)

 

  1. Neither A nor C sits at an extreme end of the row. 

(So D sits at the extreme end of row 2)

  1. The immediate neighbour of A faces the person who sits immediately to the right of Q.

6)  R and T are immediate neighbours of each other.

  1. T does not face the immediate neighbour of D.

The final arrangement will be as follows.

Hence, C is facing T.

Question 69

LIC ADO 2023• Reasoning Ability

Directions: Study the following information to answer the questions.

Ten persons are sitting in two parallel rows containing five-person each in such a way that there is an equal distance between adjacent persons. In row-1 P, Q, R, S, and T are seated and all of them are facing South. In row-2 A, B, C, D, and E are seated and all of them are facing North. Therefore, in the given seating arrangement each member seated in a row faces another member in the other row. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row. The one who faces Q sits second to the right of E. Two persons are sitting between B and E. Neither A nor C sits at an end of the row. The immediate neighbour of A faces the person who sits immediately to the right of Q. R and T are immediate neighbours of each other. T does not face the immediate neighbour of D.

What is the position of C with respect to A?

  1. AOption (a)

    Second to the left

  2. BOption (b)

    Immediate left

  3. COption (c)

    Immediate right

  4. DOption (d)

    Third to the right

  5. EOption (e)

    Second to the right

View answer & explanation

Correct answer

Answer: (b)B.

Immediate left

Why this answer is correct

Facing South: P, Q, R, S, and T (Row – 1)

Facing North: A, B, C, D, and E (Row – 2)

  1. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row

(Here, there are two possible cases, Case 1: Q sits at the extreme right end of the row, Case 2: S sits at the extreme left end of the row)

  1. The one who faces Q sits second to the right of E.

  2. Two persons are sitting between B and E.

(Here we can eliminate Case 1)

 

  1. Neither A nor C sits at an extreme end of the row. 

(So D sits at the extreme end of row 2)

  1. The immediate neighbour of A faces the person who sits immediately to the right of Q.

6) R and T are immediate neighbours of each other.

  1. T does not face the immediate neighbour of D.

The final arrangement will be as follows.

Hence, C sits immediate left of A.

Question 70

LIC ADO 2023• Reasoning Ability

Directions: Study the following information to answer the questions.

Ten persons are sitting in two parallel rows containing five-person each in such a way that there is an equal distance between adjacent persons. In row-1 P, Q, R, S, and T are seated and all of them are facing South. In row-2 A, B, C, D, and E are seated and all of them are facing North. Therefore, in the given seating arrangement each member seated in a row faces another member in the other row. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row. The one who faces Q sits second to the right of E. Two persons are sitting between B and E. Neither A nor C sits at an end of the row. The immediate neighbour of A faces the person who sits immediately to the right of Q. R and T are immediate neighbours of each other. T does not face the immediate neighbour of D.

Four of the following five are alike in a certain way and so form a group, find the one which does not belong to the group?

  1. AOption (a)

    S

  2. BOption (b)

    P

  3. COption (c)

    D

  4. DOption (d)

    B

  5. EOption (e)

    C

View answer & explanation

Correct answer

Answer: (e)E.

C

Why this answer is correct

Facing South: P, Q, R, S, and T (Row – 1)

Facing North: A, B, C, D, and E (Row – 2)

  1. S sits third to the right of Q where either of them is sitting on any of the extreme ends of the row

(Here, there are two possible cases, Case 1: Q sits at the extreme right end of the row, Case 2: S sits at the extreme left end of the row)

  1. The one who faces Q sits second to the right of E.

  2. Two persons are sitting between B and E.

(Here we can eliminate Case 1)

 

  1. Neither A nor C sits at an extreme end of the row. 

(So D sits at the extreme end of row 2)

  1. The immediate neighbour of A faces the person who sits immediately to the right of Q.

6) R and T are immediate neighbours of each other.

  1. T does not face the immediate neighbour of D.

The final arrangement will be as follows.

S, P, D, and B are sitting at the extreme ends of the row. C sits in the middle of the row.

Hence, C does not belong to the group.

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