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

Exams > Cat > Quantitaitve Aptitude

BASIC ARITHMETIC MCQs

Total Questions : 150 | Page 15 of 15 pages

Till the age of 21, Arun grows such that his height varies as the square root of this age. When Arun is 9 years old, his height is 4 feet. What is his height at 16 years?

5 feet
5 feet 2 inches
5 feet 4 inches
none of these

Discuss Question

Answer: Option C. -> 5 feet 4 inches
:
C

Option (c)

Relationship given:-

$4 = K \sqrt{9} \to K = \frac{4}{3}$

$H α \sqrt{A H} = K \sqrt{A}$

Height of Arun at 16 years $H = \frac{4}{3} \times 4 = \frac{16}{3}$ = 5 feet 4 inches

Question 142.

There are 2 baskets with n identical balls. Half the balls from basket 1 are put into basket 2. The ratio of balls in Basket 1 to Basket 2 gets reversed. Next ${\frac{1}{3}}^{r d}$ and ${\frac{2}{3}}^{r d}$ of the balls from the $1^{s t}$ basket and $2^{n d}$ basket respectively are exchanged. The ratio of balls in basket 2 to basket1 is?

Discuss Question

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

Option (d)

$= \frac{\frac{2}{3} b + \frac{2}{3} a}{\frac{1}{3} b + \frac{1}{3} a} = 2 : 1$

Required ratio(basket 2: basket 1) = 1:2

Question 143.

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 144.

One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and receives Rs.120 and a shirt. Then find the price of the shirt.

Rs. 80
Rs. 100
Rs. 120
Cannot be determined

Discuss Question

Answer: Option C. -> Rs. 120
:
C

Solution: At the first glance it seems that the answer is cannot be determined but let’s investigate further. Let the price of the shirt be 12X, where every month he earns ${\frac{1}{12}}^{t h}$ of the shirt price plus his wages.He earns $\frac{200}{12}$ every month as salary .. So in 9 months he should've earned 150 cash. But he only got 120 hence Rs.30 went to his shirt deduction.Therefore 3X= 30 $&$ 12X= 120. Option (c).

Question 145.

‘a’ and ‘b’ are any two distinct numbers belonging to the set {1,2,3,4,5,6}. How many ratios of the form $\frac{a}{b}$ can be formed which are not integers.

Discuss Question

Answer: Option C. -> 22
:
C

For each A selected there are five ways of selecting a B.. There are total 30 ratios that can be formed. Now for ‘1’ there are 5 numbers that can come in the numerator to form an integer.

For 2 there are 2 numbers and for 3 there is only one.

Therefore 30-5-2-1= 22 is the answer.

Question 146.

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).

Question 147.

A sum of Rs 530 is divided between P,Q,R such that P gets $\frac{1}{2}$ that of Q and Q gets twice that of R. What is the ratio of Q to that of the sum of P and Q?

Discuss Question

Answer: Option B. -> 2:3
:
B

$P = \frac{1}{2} Q; Q = 2 R o r \frac{P}{Q} = \frac{1}{2}; \frac{Q}{R} = \frac{2}{1}$

Shares of P, Q, R = x, 2x,x
$\frac{Q}{P + Q} = \frac{2 x}{3 x} = 2 : 3$

Question 148.

P,Q,R invested Rs 1000, Rs 600 and Rs 400 respectively to start a business. The profit is Rs 200 which is to be divided among P,Q,R in the ratio of their capital invested. What share does R get?

Discuss Question

Answer: Option C. -> 40
:
C

R’s share of Profit $= \frac{2}{10} \times 200 = R s .40$

Question 149.

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?

$4 % p r o f i t$
$4 % l o s s$
$10 % l o s s$
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 150.

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?