Processing math: 100%

General Aptitude

All Solved UnSolved

Wednesday, March 19, 2025

In an organization, 40% of the employees are matriculates, 50% ofthe remaining are graduates and remaining 180 are post-graduates. How many employees are graduates ?

March 19, 2025 |

General Aptitude, Percentage, RRB Goods Guard Exam (Bhopal) 2008, Solved

In an organization, 40% of the employees are matriculates, 50% ofthe remaining are graduates and remaining 180 are post-graduates. How many employees are graduates ?

A360

B240

C180

D300

Akhilesh Mar 20 '25 at 21:00

Correct answer is: 180
Explanation: Let the total number of employees be $T$
- 40% of $T$ are matriculates: $0.4T$
- Remaining employees: $60\%$ of $T$ = $0.6T$
- 50% of these remaining employees are graduates: $0.5 \times 0.6T = 0.3T$
- The remaining 50% are post-graduates: $0.3T = 180$
- Solving for $T$ : $0.3T = 180$ → $T = 600$
- Therefore, the number of graduates is $0.3 \times 600 = 180$

OPTION a (360): Incorrect, as it does not match the calculated number of graduates.

OPTION b (240): Incorrect, as it does not match the calculated number of graduates.

OPTION c (180): Correct, as it matches the calculated number of graduates.

OPTION d (300): Incorrect, as it does not match the calculated number of graduates.

View Answer

Tuesday, March 18, 2025

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes are equal. What is the total number of notes ?

March 18, 2025 |

General Aptitude, Ratio and Proportion, RRB Goods Guard Exam (Bhopal) 2008, Solved

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes are equal. What is the total number of notes ?

A60

B90

C75

D45

Akhilesh Mar 18 '25 at 22:54

correct answer is: 90
Explanation: Let the number of each type of note be $n$ . The total amount from each type is $1n + 5n + 10n = 16n$ . Setting this equal to 480 gives $n = 30$ . Thus, the total number of notes is $3 \times 30 = 90$ .

Option a (60): Incorrect, as $16 \times 60 = 960$ , which exceeds 480.

Option b (90): Correct, as explained above.

Option c (75): Incorrect, as $16 \times 75 = 1200$ , which is too high.

Option d (45): Incorrect, as $16 \times 45 = 720$ , which is also too high.

View Answer

The least perfect square number which is divisible by 3, 4, 5, 6 and 8 is

March 18, 2025 |

General Aptitude, Problems on H.C.F and L.C.M, RRB Goods Guard Exam (Bhopal) 2008, Solved

The least perfect square number which is divisible by 3, 4, 5, 6 and 8 is

A900

B1600

C2500

D3600

Akhilesh Mar 18 '25 at 22:52

correct answer is: 3600
Explanation: To find the least perfect square divisible by 3, 4, 5, 6, and 8, we first determine the least common multiple (LCM) of these numbers. The prime factorizations are: - 3 = $3^1$ - 4 = $2^2$ - 5 = $5^1$ - 6 = $2^1 \times 3^1$ - 8 = $2^3$ The LCM is obtained by taking the highest powers of all primes: - $2^3$ - $3^1$ - $5^1$ Thus, LCM = $2^3 \times 3^1 \times 5^1 = 120$ . To make this a perfect square, all exponents in its prime factorization must be even. Therefore, we multiply by $2^1 \times 3^1 \times 5^1$ to get: - $2^4 \times 3^2 \times 5^2 = 3600$ . This is the smallest perfect square divisible by all the given numbers.

Option a (900): Not divisible by 8 ( $2^3$ ).

Option b (1600): Not divisible by 3 or 6.

Option c (2500): Not divisible by 3, 6, or 8.

Option d (3600): Divisible by all and is a perfect square.

View Answer

Thursday, March 21, 2024

Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is

March 21, 2024 |

General Aptitude, INSURANCE EXAMS (LIC) 2013, Simple Interest, Solved

Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is

A

$\text{4%}$

B

$\text{6%}$

C

$\text{4.5%}$

D

$\text{6.5%}$

upendra undefined

Correct answer is: $\text{4%}$

Explanation:

Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:

$\text{Given: Simple interest } (SI) = 16\% \text{ of the sum}$

$SI = \frac{P \times R \times T}{100}$

$\frac{16P}{100} = \frac{P \times R \times R}{100}$

$16 = R^2$

$R = \sqrt{16}$

$R = 4$

View Answer

A sum of money at simple interest amounts to Rs. 14,160 in 3 years. If the rate of interest is increased to 25%, the same sum amounts to Rs. 14,700 in the same time. The rate of interest is 5% $5 \frac{1}{2}$ 6% 7%

March 21, 2024 |

General Aptitude, INSURANCE EXAMS (New India Assurance) 2011, Simple Interest, Solved

A sum of money at simple interest amounts to Rs. 14,160 in 3 years. If the rate of interest is increased to 25%, the same sum amounts to Rs. 14,700 in the same time. The rate of interest is

A

$\text{5%}$

B

$5 \frac{1}{2}$

C

$\text{6%}$

D

$\text{7%}$

upendra undefined

Correct answer is: 6%

Explanation:

$\Large P+\frac{Pr \times 3}{100} = 14160$

$\Large P + P \times \frac{5r}{400} \times 3 = 14700$

$\left[ Rate\ of\ Int. = r + \frac{25}{100} r \right]$

(By Ii) and (ii)

$\Large P + \frac{5}{4} \left(14160-P\right)$

$=> 4P + 70800 - 5P = 58800$

$=> P = 70800 - 58800 - 12000$

$\text{Therefore, From equation (i),}$

$\Large 12000+\frac{12000 \times r \times 3}{100}$

$\Large 120 \times 3 \times r = 14160 - 12000 = 2160$

$=> \Large r = \frac{2160}{120 \times 3}$

$r = 6 \text{%}$

View Answer