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Question 361

SBI Clerk 2025• Numerical Ability

Directions: Read the following information carefully and answer the questions based on it.

The following data shows the number of male and female visitors to a shopping mall on Monday and Tuesday. 

On Monday, the total number of visitors was 390. The number of males on Tuesday was 35 more than the number of females on Monday. The number of females on Monday was 62.5% of the number of males on Monday.

The number of males on Tuesday is what percentage of the total visitors on Monday?

  1. AOption (a)

    48.52%

  2. BOption (b)

    49.12%

  3. COption (c)

    46.54%

  4. DOption (d)

    45.69%

  5. EOption (e)

    47.44%

View answer & explanation

Correct answer

Answer: (e)E.

47.44%

Why this answer is correct

General Solution:

Given:

Total visitors on Monday = 390

Females on Monday = 62.5% of Males on Monday

Males on Tuesday = Females on Monday + 35

Let MMon = males on Monday, FMon = females on Monday.

Calculations:

FMon = 62.5% of MMon = (5/8)·MMon

MMon + FMon = 390 ⇒ MMon + (5/8)MMon = 390

⇒ (13/8)MMon = 390 ⇒ MMon = 390 × 8 / 13 = 240

⇒ FMon = 390 − 240 = 150

Males on Tuesday = FMon + 35 = 150 + 35 = 185

Thus,

Males on Monday = 240

Females on Monday = 150

Males on Tuesday = 185

Calculations:

Males on Tuesday = 185

Total visitors on Monday = 390

Percentage = (185 ÷ 390) × 100

= 47.44% (approx)

Hence, the correct answer is 47.44%.

Question 362

SBI Clerk 2025• Numerical Ability

Directions: Read the following information carefully and answer the questions based on it.

The following data shows the number of male and female visitors to a shopping mall on Monday and Tuesday. 

On Monday, the total number of visitors was 390. The number of males on Tuesday was 35 more than the number of females on Monday. The number of females on Monday was 62.5% of the number of males on Monday.

If the total number of visitors on both the days are 755 then find the number of females visitors on Tuesday.

  1. AOption (a)

    180

  2. BOption (b)

    190

  3. COption (c)

    160

  4. DOption (d)

    150

  5. EOption (e)

    140

View answer & explanation

Correct answer

Answer: (a)A.

180

Why this answer is correct

General Solution:

Given:

Total visitors on Monday = 390

Females on Monday = 62.5% of Males on Monday

Males on Tuesday = Females on Monday + 35

Let MMon = males on Monday, FMon = females on Monday.

Calculations:

FMon = 62.5% of MMon = (5/8)·MMon

MMon + FMon = 390 ⇒ MMon + (5/8)MMon = 390

⇒ (13/8)MMon = 390 ⇒ MMon = 390 × 8 / 13 = 240

⇒ FMon = 390 − 240 = 150

Males on Tuesday = FMon + 35 = 150 + 35 = 185

Thus,

Males on Monday = 240

Females on Monday = 150

Males on Tuesday = 185

Calculations:

Total visitors on Monday = 390

Total visitors on Monday + Tuesday = 755

Males on Tuesday = 185 

Total visitors on Tuesday = 755 − 390 = 365

Females on Tuesday = Total visitors − Males on Tuesday = 365 − 185 = 180

Hence, the correct answer is 180.

Question 363

SBI Clerk 2025• Numerical Ability

E is 1/4 more efficient than F. E alone can complete a particular task in 15 days. Then, in how many days F and E completes a particular task, if both work together.

  1. AOption (a)

    12/17 days

  2. BOption (b)

    25/3 days

  3. COption (c)

    15/19 days

  4. DOption (d)

    17/15 days

  5. EOption (e)

    13/16 days

View answer & explanation

Correct answer

Answer: (b)B.

25/3 days

Why this answer is correct

Shortcut Trick

Efficiency ratio E : F = (1 + 1/4) : 1 = 5/4 : 1 = 5 : 4

Total Work = Efficiency of E × Days taken by E = 5 × 15 = 75 units

Combined efficiency of E + F = 5 + 4 = 9 units/day

Days taken together = 75 ÷ 9 = 25/3 days

∴ The correct answer is 25/3 days.

Alternate Method

Given:

Efficiency of E is 1/4 more than F.

Time taken by E = 15 days.

PersonEfficiencyDaysTotal Work
E51575
F418.75

Calculations:

⇒ Let efficiency of F = 4 units/day

⇒ Efficiency of E = 4 + (1/4 × 4) = 5 units/day

⇒ Total Work = Efficiency × Time = 5 × 15 = 75 units

⇒ Time taken by E and F together = Total Work ÷ (EffE + EffF)

⇒ Time = 75 ÷ (5 + 4) = 75/9 days

⇒ Time = 25/3 days

∴ The correct answer is 25/3 days.

Additional Information

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken to complete a work. If the ratio of efficiency is x : y, the ratio of time taken is y : x.

Work Formula

Total Work = Efficiency × Time. Combined time for two people working together is (Total Work) ÷ (Sum of individual efficiencies).

Question 364

SBI Clerk 2025• Numerical Ability

The present ages of A and B are in the ratio 3 : 4 and ratio of B and C is 1 : 2 and ratio of C and D is 4 : 3. If the age of D is 72 years, then find the age of the oldest of the four.

  1. AOption (a)

    86 yrs

  2. BOption (b)

    80 yrs

  3. COption (c)

    78 yrs

  4. DOption (d)

    82 yrs

  5. EOption (e)

    96 yrs

View answer & explanation

Correct answer

Answer: (e)E.

96 yrs

Why this answer is correct

Shortcut Trick

Combine the ratio of A : B : C : D using the common terms.

A : B = 3 : 4 | B : C = 1 : 2 (or 4 : 8) | C : D = 4 : 3 (or 8 : 6).

Combined ratio A : B : C : D = 3 : 4 : 8 : 6.

Given D = 6 units = 72 years → 1 unit = 12 years.

Oldest is C = 8 units = 8 × 12 = 96 years.

∴ The correct answer is 96 yrs.

Alternate Method

Given:

Ratio A : B = 3 : 4

Ratio B : C = 1 : 2

Ratio C : D = 4 : 3

Age of D = 72 years

Calculations:

⇒ To combine, make B same: A : B = 3 : 4, B : C = 4 : 8

⇒ Now make C same: C : D is 4 : 3, but in combined it is 8. So, C : D = 8 : 6

⇒ Combined Ratio A : B : C : D = 3 : 4 : 8 : 6

⇒ Value of D = 6x = 72

⇒ x = 72 ÷ 6 = 12

⇒ Oldest is C (highest ratio part)

⇒ Age of C = 8 × 12 = 96 years

∴ The correct answer is 96 yrs.

Additional Information

Combined Ratio Rule

To combine A:B and B:C, multiply the ratios so that the common term (B) has the same value in both sets.

Ratio & Proportion Basics

If a : b = c : d, then the product of extremes equals the product of means (a × d = b × c).

Age Related Problems

The difference between the ages of two persons remains constant throughout their lives regardless of the time elapsed.

Question 365

SBI Clerk 2025• Numerical Ability

A solution of syrup has 15% water. Another solution has 35% water. How many litres of the first solution must be added to the 40L of second solution to make a solution of 23% water?

  1. AOption (a)

    30

  2. BOption (b)

    40

  3. COption (c)

    60

  4. DOption (d)

    55

  5. EOption (e)

    50

View answer & explanation

Correct answer

Answer: (c)C.

60

Why this answer is correct

Shortcut Trick

By Alligation Method, the ratio of Solution 1 to Solution 2 is calculated using the water concentrations.

Ratio = (35 − 23) : (23 − 15) = 12 : 8 = 3 : 2

Given: 2 units (Solution 2) = 40 L

⇒ 1 unit = 20 L

⇒ 3 units (Solution 1) = 3 × 20 L = 60 L

∴ The correct answer is 60 L.

Alternate Method

Given:

Water in Solution 1 = 15%

Water in Solution 2 = 35%

Target water concentration = 23%

Quantity of Solution 2 = 40 L

Calculations:

⇒ Let the quantity of Solution 1 be x L.

⇒ By Alligation Rule: (Quantity of 1) / (Quantity of 2) = (35 − 23) / (23 − 15)

⇒ x / 40 = 12 / 8

⇒ x / 40 = 3 / 2

⇒ x = (3 × 40) ÷ 2

⇒ x = 120 ÷ 2 = 60 L

∴ The correct answer is 60 L.

Additional Information

Rule of Alligation

Used to find the ratio in which two ingredients at given prices or concentrations must be mixed to produce a mixture at a desired mean value.

Weighted Average Formula

Mean Concentration = (n1c1 + n2c2) ÷ (n1 + n2), where n is quantity and c is concentration.

Successive Dilution

Final Quantity = Initial Quantity × (1 − x/V)n, where x is quantity replaced and V is total volume.

Question 366

SBI Clerk 2025• Reasoning Ability

Directions: Read the information and answer the given questions.

Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order. Two people bought their toys between E and H; H bought their toy either just before or just after I. Only one person bought a toy after K. Not more than three people bought their toys between F and J. F bought their toy before H. There are three people between G and K. Only one person bought a toy between I and G.

Find the odd one out.

  1. AOption (a)

    E - F

  2. BOption (b)

    G - H

  3. COption (c)

    I - J

  4. DOption (d)

    G - J

  5. EOption (e)

    K - L

View answer & explanation

Correct answer

Answer: (d)D.

G - J

Why this answer is correct

Given: Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order.

  1. Only one person bought a toy after K.
Persons
K

 

  1. There are three persons between G and K.
Persons
G
K

 

  1. Only one person bought a toy between I and G.

Here, we have 2 Cases, i.e, Case 1 and Case 2.

Persons
Case 1Case 2
I
GG
I
KK

 

  1. Two people bought their toys between E and H; H bought their toy either just before or just after I.
Persons
Case 1Case 2
IE
H
GG
H
EI
KK

 

5. F bought their toy before H.

Now, we can eliminate Case 1. (Because there is no vacant place before H)

Persons
Case 2
E
F
G
H
I
K

 

6. Not more than three persons bought their toys between F and J.

Persons
Case 2
E
F
G
H
I
J
K

 

This is our final arrangement,

Persons
Case 2
E
F
G
H
I
J
K
L

 

Except for G - J, all others are adjacent to each other.

Hence, the correct answer is G - J.

Question 367

SBI Clerk 2025• Reasoning Ability

Directions: Read the information and answer the given questions.

Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order. Two people bought their toys between E and H; H bought their toy either just before or just after I. Only one person bought a toy after K. Not more than three people bought their toys between F and J. F bought their toy before H. There are three people between G and K. Only one person bought a toy between I and G.

Who among the following bought the toy immediately after H?

  1. AOption (a)

    E

  2. BOption (b)

    F

  3. COption (c)

    G

  4. DOption (d)

    I

  5. EOption (e)

    J

View answer & explanation

Correct answer

Answer: (d)D.

I

Why this answer is correct

Given: Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order.

  1. Only one person bought a toy after K.
Persons
K

 

  1. There are three persons between G and K.
Persons
G
K

 

  1. Only one person bought a toy between I and G.

Here, we have 2 Cases, i.e, Case 1 and Case 2.

Persons
Case 1Case 2
I
GG
I
KK

 

  1. Two people bought their toys between E and H; H bought their toy either just before or just after I.
Persons
Case 1Case 2
IE
H
GG
H
EI
KK

 

5. F bought their toy before H.

Now, we can eliminate Case 1. (Because there is no vacant place before H)

Persons
Case 2
E
F
G
H
I
K

 

6. Not more than three persons bought their toys between F and J.

Persons
Case 2
E
F
G
H
I
J
K

 

This is our final arrangement,

Persons
Case 2
E
F
G
H
I
J
K
L

 

Hence, the correct answer is I.

Question 368

SBI Clerk 2025• Reasoning Ability

Directions: Read the information and answer the given questions.

Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order. Two people bought their toys between E and H; H bought their toy either just before or just after I. Only one person bought a toy after K. Not more than three people bought their toys between F and J. F bought their toy before H. There are three people between G and K. Only one person bought a toy between I and G.

Which of the following statements is true?

  1. AOption (a)

    Only one person bought a toy before G

  2. BOption (b)

    G bought the toy immediately after F

  3. COption (c)

    E bought the toy immediately before H

  4. DOption (d)

    H bought the toy immediately before L

  5. EOption (e)

    All of the above

View answer & explanation

Correct answer

Answer: (b)B.

G bought the toy immediately after F

Why this answer is correct

Given: Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order.

  1. Only one person bought a toy after K.
Persons
K

 

  1. There are three persons between G and K.
Persons
G
K

 

  1. Only one person bought a toy between I and G.

Here, we have 2 Cases, i.e, Case 1 and Case 2.

Persons
Case 1Case 2
I
GG
I
KK

 

  1. Two people bought their toys between E and H; H bought their toy either just before or just after I.
Persons
Case 1Case 2
IE
H
GG
H
EI
KK

 

5. F bought their toy before H.

Now, we can eliminate Case 1. (Because there is no vacant place before H)

Persons
Case 2
E
F
G
H
I
K

 

6. Not more than three persons bought their toys between F and J.

Persons
Case 2
E
F
G
H
I
J
K

 

This is our final arrangement,

Persons
Case 2
E
F
G
H
I
J
K
L

 

Hence, the correct answer is G bought the toy immediately after F.

Question 369

SBI Clerk 2025• Reasoning Ability

Directions: Read the information and answer the given questions.

Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order. Two people bought their toys between E and H; H bought their toy either just before or just after I. Only one person bought a toy after K. Not more than three people bought their toys between F and J. F bought their toy before H. There are three people between G and K. Only one person bought a toy between I and G.

How many persons bought their toys between F and K?

  1. AOption (a)

    None

  2. BOption (b)

    One

  3. COption (c)

    Two

  4. DOption (d)

    Three

  5. EOption (e)

    Four

View answer & explanation

Correct answer

Answer: (e)E.

Four

Why this answer is correct

Given: Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order.

  1. Only one person bought a toy after K.
Persons
K

 

  1. There are three persons between G and K.
Persons
G
K

 

  1. Only one person bought a toy between I and G.

Here, we have 2 Cases, i.e, Case 1 and Case 2.

Persons
Case 1Case 2
I
GG
I
KK

 

  1. Two people bought their toys between E and H; H bought their toy either just before or just after I.
Persons
Case 1Case 2
IE
H
GG
H
EI
KK

 

5. F bought their toy before H.

Now, we can eliminate Case 1. (Because there is no vacant place before H)

Persons
Case 2
E
F
G
H
I
K

 

6. Not more than three persons bought their toys between F and J.

Persons
Case 2
E
F
G
H
I
J
K

 

This is our final arrangement,

Persons
Case 2
E
F
G
H
I
J
K
L

 

Hence, the correct answer is Four.

Question 370

SBI Clerk 2025• Reasoning Ability

Directions: Read the information and answer the given questions.

Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order. Two people bought their toys between E and H; H bought their toy either just before or just after I. Only one person bought a toy after K. Not more than three people bought their toys between F and J. F bought their toy before H. There are three people between G and K. Only one person bought a toy between I and G.

Who among the following bought a toy immediately before J?

  1. AOption (a)

    H

  2. BOption (b)

    I

  3. COption (c)

    F

  4. DOption (d)

    K

  5. EOption (e)

    L

View answer & explanation

Correct answer

Answer: (b)B.

I

Why this answer is correct

Given: Eight persons, namely, E, F, G, H, I, J, K, L, bought different toys in an order, but not necessarily in the same order.

  1. Only one person bought a toy after K.
Persons
K

 

  1. There are three persons between G and K.
Persons
G
K

 

  1. Only one person bought a toy between I and G.

Here, we have 2 Cases, i.e, Case 1 and Case 2.

Persons
Case 1Case 2
I
GG
I
KK

 

  1. Two people bought their toys between E and H; H bought their toy either just before or just after I.
Persons
Case 1Case 2
IE
H
GG
H
EI
KK

 

  1. F bought their toy before H.

Now, we can eliminate Case 1. (Because there is no vacant place before H)

Persons
Case 2
E
F
G
H
I
K

 

6. Not more than three persons bought their toys between F and J.

Persons
Case 2
E
F
G
H
I
J
K

 

This is our final arrangement,

Persons
Case 2
E
F
G
H
I
J
K
L

 

Hence, the correct answer is I.

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