The following Questions are related to the Mathematical Reasoning Aptitude MCQs for NTA UGC NET, HTET, CTET, and all competitive Exams. The UGC NET Exam conducted by NTA 2 times in a year and HTET CTET Exam conducted by State and Central boards once in a year. The reasoning aptitude part is so important to qualify for the exams. So we are here with some reasoning MCQs with solutions which fit for you all competitive Exams.

## Reasoning Aptitude MCQs for UGC NET, HTET, and CTET

**Ques 1.**

Mr. Hamilton invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

- a) Rs. 6400
- b) Rs. 6500
- c) Rs. 7200
- d) Rs. 7500
- e) None of these

**Ques 2.**

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

- a) 3.5 years
- b) 4 years
- c) 4.5 years
- d) 5 years
- e) None of these

**Ques 3.**

A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

- a) 3%
- b) 4%
- c) 5%
- d) 6%
- e) None of these

**Ques 4.**

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

- a) 10%
- b) 10.25%
- c) 10.5%
- d) Data inadequate
- e) None of these

**Ques 5.**

Aastha lent Rs. 5000 to Bahubali for 2 years and Rs. 3000 to Chinky for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

- a) 5%
- b) 7%
- c) 7 1/8%
- d) 10%
- e) None of these

**Ques 6.**

Aman took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

- a) Rs. 2000
- b) Rs. 10,000
- c) Rs. 15,000
- d) Rs. 20,000
- e) None of these

**Ques 7.**

What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 6 years and that for 9 years?

- a) 1 : 3
- b) 1 : 4
- c) 2 : 3
- d) Data inadequate
- e) None of these

**Ques 8.**

Akshay borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 ¼ pa for 2 years. Find his gain in the transaction per year.

- a) Rs. 112.50
- b) Rs. 125
- c) Rs. 150
- d) Rs. 150
- e) Rs. 167.50

**Ques 9.**

On a sum of money, the simple interest for 2 years is Rs.660, while the compound interest is Rs.696.30, the rate of interest being the same in both the cases. The rate of interest is :

- a) 10%
- b) 10.5%
- c) 12%
- d) Data inadequate
- e) None of these

**Ques 10.**

Mr.Devilal Singh invested an amount of Rs.13,900 divided into two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs.3508, what was the amount invested in Scheme B?

- a) Rs.6400
- b) Rs.6500
- c) Rs.7200
- d) Rs.7500
- e) None of these

**Ques 11.**

What should be the least number of years in which the simple interest on Rs.2600 at 6⅔% will be an exact number of rupees?

- a) 2
- b) 3
- c) 4
- d) 5
- e) None of these

**Ques 12.**

An amount of Rs.1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 11% p.a. If the total interest at the end of one year is 9¾%, then the amount invested in each share was :

- a) Rs.52,500, Rs.47,500
- b) Rs.62,500, Rs.37,500
- c) Rs.72,500, Rs.27,500
- d) Rs.82,500, Rs.17.500
- e) None of these

**Ques 13.**

If the simple interest on a certain sum for 15 months at 7½% per annum exceeds the simple interest on the same sum for 8 months at 12½% per annum by Rs.32.50, then the sum (in Rs.) is :

- a) Rs.3000
- b) Rs.3060
- c) Rs.3120
- d) Rs.3250
- e) None of these

**Ques 14.**

A sum of money trebles itself in 15 years 6 months. In how many years would it double itself?

- a) 6 years 3 months
- b) 7 years 9 months
- c) 8 years 3 months
- d) 9 years 6 months
- e) None of these

**Ques 15.**

Rambo took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If he paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

- a) 3.6
- b) 6
- c) 18
- d) Data inadequate
- e) None of these

**Solutions for Above Reasoning Aptitude MCQs for NTA UGC NET, HTET and CTET**

**Option A**

Let the sum invested in scheme A be Rs. x and that in scheme B be Rs. (13900 ⎯ x)

Then, [ x × 14 × 2 / 100] ÷ [{(13,900 – x) × 11 × 2 } / 100] = 3508

28x ⎯ 22x = 350800 ⎯ (13900 × 22)

6x = 45000

x = 7500

So, sum invested in Scheme B = Rs. (13900 ⎯ 7500) = Rs.6400

**Option B**

Time = [100 × 81 / 450 × 4.5 ] years = 4 years

**Option D**

S.I. = Rs. (15500 ⎯ 12500) = Rs.3000

Rate = [ 100 × 3000 / 12500 × 4 ]% = 6%

**Option B**

Let the sum be Rs.100. Then,

S.I. for first 6 months = Rs. [100 × 10 × 1 / 100 × 2] = Rs.5

S.I. for last 6 months = Rs. [105 × 10 × 1 / 100 × 2] = Rs.5.25

So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs.110.25

So, effective rate = (110.25 ⎯ 100) = 10.25%

**Option D**

Let the rate be R% p.a.

Then, [ 500 × R × 2 / 100 ] + [300 × R × 4 / 100] = 2200

100R + 120R = 2200

R = [2200 / 220] = 10

So, rate = 10%

**Option C**

Principal = Rs. [ 100 × 5400 / 12 × 3] = Rs.15000

**Option C**

Let the principal be P and rate of interest be R%.

So, required ratio = [P × R × 6 / 100] / [P × R × 9 / 100] = 6PR / 9PR = 6 / 9 = 2 : 3

**Option A**

Gain in 2 years = Rs. [(5000 × 25 / 4 × 2 / 100 ) ⎯ (5000 × 4 × 2 / 100 )]

= Rs. (625 ⎯ 400)

= Rs.225

So, gain in 1 year = Rs. [225 / 2] = Rs.112.50

**Option E**

The difference in C.I. and S.I. for 2 years – Rs. (696.30 ⎯ 660) = Rs.36.30

S.I. for one year = Rs.330

**Option A**

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 ⎯ x)

Then, [x × 14 × 2 / 100 ] + [(13,900 – x) × 11 × 2 / 100] = Rs.3508

28x ⎯ 22x = 350800 ⎯ (13900 × 22 )

6x = 45000

x = 7500

So, sum invested in Scheme B = Rs. (13900 ⎯ 7500) = Rs.6400

**Option B**

S.I. = Rs. [2600 × 20 / 3 × 1 / 100 × T] = Rs.[ 520 / 3 × T]

Which is an exact number of rupees when T = 3

**Option B**

Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 ⎯ x)

Then, [x × 9 × 1 / 100 ] + [ (100000 – x) × 11× 1 / 100 ] = [100000 × 39 / 4 × 1 / 100 ]

9x + 1100000 – 11x / 100 = 39000 / 4 = 9750

2x = (1100000 ⎯ 975000) = 125000

x = 62500

Sum invested at 9% = Rs.62500

Sum invested at 11% = Rs. (100000 ⎯ 62500) = Rs.37500

**Option C**

Let the sum be Rs. x. Then, [x × 15 / 2 × 5 / 4 × 1 / 100 ] ⎯ [x × 25 / 2 × 2 / 3 × 1 / 100 ]

= 32.50

75x / 8 ⎯ 25x / 3 = 3250

25x = (3250 × 24)

x = [3250 × 24 / 25] = 3120

**Option B**

Let sum = x. Then, S.I. = 2x, Time = 15 (1/2) years = 31 / 2 years

So, rate = [ 100 × 2x / x × (31/2)]% = 400 / 31%

Now, sum = x, S.I. = x, Rate = 400 / 31%

So, time = 100 × x / x × (400/31) = 31 / 4 years = 7 years 9 months

**Option B**

Let rate = R% and time = R years

Then, [1200 × R × R / 100] = 432

12 r^{2} = 432

R^{2} = 36

R = 6

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