Basic Arithmetic(Exams > Cat > Quantitaitve Aptitude ) Questions and answers for exam Preparation

Exams > Cat > Quantitaitve Aptitude

BASIC ARITHMETIC MCQs

Total Questions : 150 | Page 13 of 15 pages

At a new book-store, the inaugural discount is as follows. If the value of purchase $<$ 3200, the buyer gets a $14 %$ discount. If the purchase $3200 < x < 6300$ , then the buyer gets a $16 %$ discount. Above 6300, the discount percentage is x. A certain buyer gets a total discount of Rs. 1520 which is $16 %$ of the purchase value. What is x?

$15 %$
$16 %$
$18 %$
$20 %$

Discuss Question

Answer: Option C. ->

18 %

:
C

$16 %$ of purchase value = Rs. 1520

purchase value = 9500

$1520 = 14 % o f 3200 + 16 % o f 3100 + x % o f 3200$

$1520 = 944 + x % o f 3200$

$576 = x % o f 3200$

$x = 18 %$

Question 122.

Two alloys containing copper and zinc are in the ratios 5:8 and 5:3.If they are melted in equal quantities, The ratio of Zinc to copper in the resultant alloy is?

105:103
114:120
123:154
103:105

Discuss Question

Answer: Option D. -> 103:105
:
D

$\frac{C o p p e r}{Z i n c} = \frac{\frac{5}{13} + \frac{5}{8}}{\frac{3}{13} + \frac{3}{8}} = 105 : 103$

Solving using alligation

With respect to zinc

Now use answer options to get the value of x =103:105

Question 123.

In a particular school, the maximum marks in a subject is 250. Suppose a student obtained $60 %$ marks, what were his actual marks?

Discuss Question

Answer: Option C. -> 150
:
C

Actual $= 60 % o f 250 = \frac{60}{100} \times 250 = \frac{60}{4} \times 10 = \frac{600}{4} = 150$

Question 124.

It is given that two types of rice A and B costing Rs.3 and 3.30 per kg respectively are mixed to form a mixture costing Rs.3.20 per kg. Find the proportion in which they are mixed to obtain this Cost price?

a) 3:1
b) 1:3
c) 1:2.5
d) 1:2

Discuss Question

Answer: Option D. -> d) 1:2
:
D

option (d)

We can solve this question using alligation.

Ratio = 0.10 : 0.20= 1:2

Question 125.

The length of a rectangle is increased by $a = 30 %$ and breadth is decreased by $b = 25 %$ . What is the percentage change in the area of the rectangle?

$2.5 %$ increase
$2.5 %$ decrease
$5 %$ increase
None of these

Discuss Question

Answer: Option B. ->

2.5 %

decrease
:
B

Answer = option b

Initial area $= l \times b$

Final area $= 1.3 l \times 0.75 b$

$= 0.975 l \times b$

$%$ change $= (1 - 0.975) \times 100 = 2.5 %$ decrease

Question 126.

Ram Lal invested a certain amount for three years, under compound interest compounded annually and received Rs.17820. If he had invested the same amount for six years at the same rate of interest compounded annually, he would have received Rs.49410. What amount (in Rs.) did he invest?

7520
4425
7892
6427
6500

Discuss Question

Answer: Option D. -> 6427
:
D

Let the sum be P and the interest rate be r.

Then after ‘n’ years $A = P (1 + \frac{r}{100})^{n} = P R^{n} w h e r e R = 1 + \frac{r}{100}$

Now, $17820 = P R^{3}, 49410 = P R^{6}$
$R^{3} = \frac{49410}{17820}$

So, $P = \frac{17820 \times 17820}{49410}$ =Rs.6427

Question 127.

At what price should I buy a share whose face value is Rs.200 and pays dividend of $9 %$ , so that my yield is $12 %$

Rs. 75
Rs. 120
Rs. 150
Rs. 180
Rs. 175

Discuss Question

Answer: Option C. -> Rs. 150
:
C

Let the required price be Rs. x

Dividend = $9 %$ of Rs. 200 = Rs. 18

0.12x = 18 $\Rightarrow$ x = Rs. 150

Hence option (c)

Question 128.

A trader makes a profit equal to the selling price of 50 articles when he sold 80 of the articles. What $%$ profit did he make in the transaction?

$183 %$
$176 %$
$183.33 %$
$166.67 %$
6500

Discuss Question

Answer: Option D. ->

166.67 %

:
D

Soln:Let S be the selling price of 1 article.Therefore, the selling price of 80 articles = 80 S

The profit earned by selling these 80 articles = selling price of 50 articles = 50 S

We know that Selling Price (S.P.) = Cost Price (C.P) + Profit of Selling price of 80 articles = 80 S and Profit = 50 S

80 S = C.P + 50 S. Hence, C.P = 80 S - 50 S = 30 S.Profit $% = (\frac{50 S}{30 S}) \times 100 = 166.67 %$

Question 129.

In a village which has a barter system, 1 kg of rice is equivalent to 1 dozen bananas. Anil gives 1.5 kg rice to Binod using a false weight of 800 gm as 1 kg and takes 15 bananas. Who is in profit and what is the percentage profit?

Anil, $4.17 %$
Binod, $4.17 %$
Anil, $8.34 %$
Binod, $8.34 %$
None of these

Discuss Question

Answer: Option A. -> Anil,

4.17 %

:
A

Soln:

800 gm ==1 kg ,1.5 kg == 1.2 kg

Anil actually sold 1.2 kg rice and so he should get $1.2 \times 12 = 14.4$ bananas but he got 15 bananas. So, Anil is making a profit of 0.6 which is $4.17 % .$

Hence option (a).

Question 130.

Ram adjusted his electronic weighing scale in a typical way. But he gives a discount of $10 %$ in every transaction. His weighting scale shows 5 kg for 4 kg. What is the actual profit $%$ when the displayed weight is 10 kg, if he sells the commodity at its cost price?