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Question 431

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

Weight of item A is 200 kg. Weight of item B is 25% more than item C. Weight of item C is 20% more than item A. Find the total weight of all three together?

  1. AOption (a)

    650

  2. BOption (b)

    740

  3. COption (c)

    720

  4. DOption (d)

    760

  5. EOption (e)

    750

View answer & explanation

Correct answer

Answer: (b)B.

740

Why this answer is correct

Given:

Weight of item A = 200 kg

Weight of item C is 20% more than item A

Weight of item B is 25% more than item C

Formula used:

Increased weight = Original weight × (1 + Increase%)

Calculations:

Weight of item C = 200 × (1 + 20/100)

⇒ Weight of item C = 200 × 1.2 = 240 kg

Weight of item B = 240 × (1 + 25/100)

⇒ Weight of item B = 240 × 1.25 = 300 kg

Total weight = Weight of A + Weight of B + Weight of C

⇒ Total weight = 200 + 300 + 240

⇒ Total weight = 740 kg

∴ The total weight of all three items together is 740 kg.

Question 432

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

Ratio of milk and water in a mixture is 9:5. If 10 L water is added then ratio of milk and water is 9:7. Find the initial quantity of milk?

  1. AOption (a)

    65

  2. BOption (b)

    45

  3. COption (c)

    55

  4. DOption (d)

    50

  5. EOption (e)

    35

View answer & explanation

Correct answer

Answer: (b)B.

45

Why this answer is correct

Given:

Ratio of milk and water = 9 : 5

Water added = 10 L

New ratio of milk and water = 9 : 7

Formula used:

If ratio is a : b, then quantities = ax and bx

Calculations:

Let initial quantity of milk = 9x

Let initial quantity of water = 5x

After adding water:

Milk = 9x

Water = 5x + 10

⇒ (9x) : (5x + 10) = 9 : 7

⇒ 7 × 9x = 9 × (5x + 10)

⇒ 63x = 45x + 90

⇒ 63x − 45x = 90

⇒ 18x = 90

⇒ x = 5

Initial quantity of milk = 9x = 9 × 5 = 45 L

∴ The initial quantity of milk is 45 L.

Question 433

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

Find the wrong term in the following number series.

5, 4, 7, 20, 79, 386, 2363

  1. AOption (a)

    4

  2. BOption (b)

    7

  3. COption (c)

    20

  4. DOption (d)

    386

  5. EOption (e)

    79

View answer & explanation

Correct answer

Answer: (d)D.

386

Why this answer is correct

Considering the given series

5, 4, 7, 20, 79, 386, 2363

The logic of the given series can be explained as

5 × 1 – 1 = 4

4 × 2 – 1 =7

7 × 3 – 1 = 20

20 × 4 – 1 = 79

79 × 5 – 1 = 394

394 × 6 – 1 = 2363

∴ wrong term of the series is 386

Question 434

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

In the following number series, the wrong number is given, find out that number.

123, 121, 111, 99, 83, 63

  1. AOption (a)

    121

  2. BOption (b)

    111

  3. COption (c)

    99

  4. DOption (d)

    83

  5. EOption (e)

    123

View answer & explanation

Correct answer

Answer: (a)A.

121

Why this answer is correct

The pattern followed by the series is

123 - 4 = 119 

119 - 8 = 111

111 - 12 = 99

99 - 16 = 83 

83 - 20 = 63

Question 435

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

In each of the following number series, a wrong number is given. Find out that number.

12, 24, 8, 32, 6.2, 38.4

  1. AOption (a)

    38.4

  2. BOption (b)

    24

  3. COption (c)

    8

  4. DOption (d)

    6.2

  5. EOption (e)

    32

View answer & explanation

Correct answer

Answer: (d)D.

6.2

Why this answer is correct

The series follows the following pattern:

12 × 2 = 24

24 ÷ 3 = 8

8 × 4 = 32

32 ÷ 5 = 6.4

6.4 × 6 = 38.4

∴ The wrong term in the series is 6.2.

Question 436

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

In each of the following number series, a wrong number is given. Find out that number.

119, 141, 164, 189, 213, 243

  1. AOption (a)

    164

  2. BOption (b)

    213

  3. COption (c)

    141

  4. DOption (d)

    243

  5. EOption (e)

    189

View answer & explanation

Correct answer

Answer: (b)B.

213

Why this answer is correct

The series follows the following pattern:

112 - 2 = 119

122 - 3 = 141

132 - 5 = 164

142 - 7 = 189

152 - 11 = 214

162 - 13 = 243

∴ The wrong term in the series is 213.

Question 437

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

In each of the following number series, the wrong number is given, find out that number.

1440, 240, 48, 16, 4, 2

  1. AOption (a)

    240

  2. BOption (b)

    2

  3. COption (c)

    4

  4. DOption (d)

    16

  5. EOption (e)

    48

View answer & explanation

Correct answer

Answer: (d)D.

16

Why this answer is correct

The series follows the following pattern:

1440 ÷ 6 = 240

240 ÷ 5 = 48

48 ÷ 4 = 12

12 ÷ 3 = 4 

4 ÷ 2 = 2

∴ The wrong term in the series is 16.

Question 438

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

Ratio of present age of Dimpi and Kajal is 3:4. Ratio of age of Dimpi before three years and Kajal after six years is 4:7. Find the present age of Dimpi?

  1. AOption (a)

    27

  2. BOption (b)

    24

  3. COption (c)

    33

  4. DOption (d)

    30

  5. EOption (e)

    36

View answer & explanation

Correct answer

Answer: (a)A.

27

Why this answer is correct

Given:

Ratio of present age of Dimpi and Kajal = 3 : 4

Ratio of age of Dimpi before 3 years and Kajal after 6 years = 4 : 7

Formula used:

If present ages are in ratio a : b, then ages = ax and bx

Calculations:

Let present age of Dimpi = 3x

Let present age of Kajal = 4x

Dimpi’s age before 3 years = 3x − 3

Kajal’s age after 6 years = 4x + 6

⇒ (3x − 3) : (4x + 6) = 4 : 7

⇒ 7 × (3x − 3) = 4 × (4x + 6)

⇒ 21x − 21 = 16x + 24

⇒ 21x − 16x = 24 + 21

⇒ 5x = 45

⇒ x = 9

Present age of Dimpi = 3x = 3 × 9 = 27 years

∴ The present age of Dimpi is 27 years.

Question 439

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

The difference is when we increased a number by 40% and decreased by the same number by 80% is 192. Find the 25% of the number?

  1. AOption (a)

    54

  2. BOption (b)

    48

  3. COption (c)

    40

  4. DOption (d)

    45

  5. EOption (e)

    44

View answer & explanation

Correct answer

Answer: (c)C.

40

Why this answer is correct

Given:

Increase of number = 40%

Decrease of number = 80%

Difference between both results = 192

Formula used:

Increased value = Number × (1 + increase%)

Decreased value = Number × (1 − decrease%)

Calculations:

Let the number = x

Increased number = x × (1 + 40/100) = 1.4x

Decreased number = x × (1 − 80/100) = 0.2x

⇒ Difference = 1.4x − 0.2x

⇒ 1.2x = 192

⇒ x = 192 ÷ 1.2 = 160

25% of the number = 25/100 × 160

⇒ 25% = 40

∴ 25% of the number is 40.

Question 440

IBPS RRB Office Assistant (Clerk) 2025• Numerical Ability

A cricketer average 28 runs per inning for 26 innings. If he makes a total 272 runs in his next five innings, by how much will his average increase?

  1. AOption (a)

    5.758

  2. BOption (b)

    4.258

  3. COption (c)

    7.50

  4. DOption (d)

    2.256

  5. EOption (e)

    5.45

View answer & explanation

Correct answer

Answer: (b)B.

4.258

Why this answer is correct

Detailed Solution:

Cricketer makes total runs in 26 innings = 28 × 26 = 728

Average after he makes a total 272 runs in his next five innings = (728 + 272)/31 = 1000/31 = 32.258

Increase in his average = 32.258 – 28 = 4.258

Short Trick:

For maintain the average at 28 after he makes a total 272 runs in his next five innings, he needs 140 runs.

∴ Remaining runs = 272 – 140 = 132

∴ These 132 runs will spend in increasing the average of cricketer after 31 innings.

⇒ Increase in his average = 132/31 = 4.258

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