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

Exams > Cat > Quantitaitve Aptitude

BASIC ARITHMETIC MCQs

Total Questions : 150 | Page 7 of 15 pages

Question 61. 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 62. 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.

It Is Given That Two Types Of Rice A And B Costing Rs.3 And ...

Ratio = 0.10 : 0.20= 1:2

Question 63. 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 64. 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 65. Mayawati buys two elephants for 40,000 each, She sells one at a profit of

20 %

and other at a loss of

20 %

. What is her profit/ loss percentage?

4% profit
4% loss
10% loss
No profit, No loss

Discuss Question

Answer: Option D. -> No profit, No loss
:
D
20% of 40,000 = 8000.
Profit = loss = 8000.
Hence, No Profit, No loss; Option (d).

Question 66. Anju’s and Binoy’s marks are in the ratio 3:5. If each gets 20 marks more, the ratio becomes 13:21. Find Anju’s marks?

Discuss Question

Answer: Option B. -> 240
:
B
3:5

\Rightarrow

3x and 5x
Now, it’s given that

\frac{(3 x + 20)}{5 x + 20} = \frac{13}{21}

Cross multiplying; 63x + 420 = 65x + 260 So, x= 80
The markswill therefore be: Anju:

3 x = 3 \times 80 = 240

and Binoy:

5 x = 5 \times 80 = 400.

Question 67. Picnic invites two kinds of charges: bus fare, which is independent of the number of people attending the picnic and buffet lunch, which increases directly with an increase in the number of people. The charges are calculated to be Rs. 165 per head when there are 200 invitees and Rs. 170 per head when there are 150 invitees. What would be the charges per head when there are 100 invitees?

Rs.175
Rs.180
Rs.185
Rs.190

Discuss Question

Answer: Option B. -> Rs.180
:
B
Ans. (b) Let the bus fare = Rs. x
and buffet lunch per head = Rs. y

x + 200 y = 165 \times 200....... (i)

x + 150 y = 170 \times 150....... (i i)

Then,

x + 100 y = 2 \times (i i) - (i) = 51000 - 33000 = 18000

Therefore, Cost per head = Rs. 180

Question 68. There are 5 friends in a class who get marks in the ratio 3:4:5:6:7. The maximum marks are the same in each case. The total marks obtained by the 5 are

{\frac{3}{5}}^{t h}

the maximum obtainable marks. How many friends got more than

70 %

of the total marks?

0
1
2
more than 2

Discuss Question

Answer: Option C. -> 2
:
C
Lets assume that the maximum marks are 100. total marks available =500
Total marksobtained by all 5 together

= \frac{3}{5} \times 500 = 300

Which is divided in the ratio 3:4:5:6:7
Marks are 36, 48,60, 72 and 84. only 2 students get more than

70 % .

Question 69. The charges for a graphics designer is partially fixed and partially variable with the number of hours. The charge is Rs.550 for 4.5 hours and Rs.300 for 2 hours. Find the charges of 1 hour?

Discuss Question

Answer: Option B. -> 200
:
B
The total charge = Fixed component +Variable component
Z= F+kx
Where F and x are fixed
550 =F +k(4.5)
300=F + k(2)
Solving simultaneously, F= 100 and k= 100
Charges for 1 hour = 100 +1(100) =200

Question 70. A, B and C went for lunch to a restaurant. A had

100 w i t h h i m, B h a d

60 and C had

409. T h e y g o t a b i l l f o r

104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money, which C paid more than what A paid, is

56.75
56.25
65.25
none of these

Discuss Question

Answer: Option C. -> 65.25
:
C
They divided the bill in the ratio of money they carried.
So, 120 got divided A= 21, B= 12.65, C= 86.25. C paid 65.25 more than A.Option (3).