Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 4

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Weekly Quiz Competition

Question 1
4 / -1

Direction: These questions are based on the information given below:

Each question has two equations.

Mark [1], if x < y

Mark [2], if x > y

Mark [3], if x ≤ y

Mark [4], if x = y or if a relationship cannot be established between x and y

(A) x2 = 49
(B) y – 2 = 5

A
1

B
2

C
3

D
4

Solution
Question 2
4 / -1

Direction: These questions are based on the information given below:

Each question has two equations.

Mark [1], if x < y

Mark [2], if x > y

Mark [3], if x ≤ y

Mark [4], if x = y or if a relationship cannot be established between x and y

(A) 3x + 4y = 21
(B) 4x + 5y = 27

A
1

B
2

C
3

D
4

Solution
Question 3
4 / -1

Write the solution of inequality \(\frac{1}{5}\left(\frac{3 x}{5}+4\right) \geq \frac{1}{3}(x-6) ?\)

A
\(x \leq \frac{105}{8}\)

B
\(x \geq \frac{105}{8}\)

C
\(x \geq 120\)

D
\(x \leq 120\)

Solution

Given:
\(\frac{1}{5}\left(\frac{3 x}{5}+4\right) \geq \frac{1}{3}(x-6)\)
\(\Rightarrow 3\left(\frac{3 x}{5}+4\right) \geq 5(x-6)\)
\(\Rightarrow\left(\frac{9 x}{5}+12\right) \geq 5 x-30\)
\(\Rightarrow(30+12) \geq-\frac{9 x}{5}+5 x\)
\(\Rightarrow 42 \geq \frac{-9 x+25 x}{5}\)
\(\Rightarrow 42 \geq \frac{16 x}{5}\)
\(\Rightarrow \frac{42 \times 5}{16} \geq x\)
\(\therefore x \leq \frac{105}{8}\)
Question 4
4 / -1

Direction: These questions are based on the information given below:

Each question has two equations.

Mark [1], if x < y

Mark [2], if x > y

Mark [3], if x ≤ y

Mark [4], if x = y or if a relationship cannot be established between x and y

(A) x + 4y = 19
(B) 5x – 2y = 7

A
1

B
2

C
3

D
4

Solution
Question 5
4 / -1

How many pairs of x and y satisfy 2x+4y=12 and 8x+12y=39?

A
0

B
1

C
Infinite

D
None of these

Solution

2x+4y=12……….Eq I

8x+12y=39………..Eq II

Multiplying Eq I by 3, we get

6x+12y= 36

Solving Eq I and II, we get x=3/2 and y=9/4

And when we plot these two lines on XY plane, they intersect only at one point(3/2, 9/4). Therefore, one pair of x and y satisfy the given equations.
Question 6
4 / -1

If 2 : 5 is the sub-duplicate ratio of p : q, find the duplicate ratio of p : q

A
4: 49

B
16: 625

C
8: 125

D
625:16

Solution
Question 7
4 / -1

The number of distinct prime factors of 26741

A
1

B
3

C
4

D
6

Solution

26741 = 17 x 13 x 11 x 11
There are 3 distinct prime factors, i.e. 17, 13 and 11
Hence mark Option b
Question 8
4 / -1

If 1.532x = 0.1532y = 10z, then find the relationship between x, y and z.

A

B

C

D

Solution
Question 9
4 / -1

The price of a mobile is increased by 30% and then decreased by 30%. Find the percentage change in the prices of a mobile.

A
9% increase

B
4% increase

C
3% increase

D
9% decrease

Solution

Let the price of the mobile be Rs.100

Increasing it by 30%, i.e. Rs.30, we get the total price as Rs.130

Now, decreasing the increased price, i.e. Rs.130, by 30%, we get

= 130 – 39

= Rs.91

∴ Overall the price is decreased by 9% (of the actual marked price, i.e. Rs.100)

Hence mark option d
Question 10
4 / -1

By selling an article for Rs.616, a shopkeeper incurs a loss of 20%. At what price should he sell so as to gain 15%?

A
1122

B
847.50

C
770.00

D
885.50

Solution

The selling price of the article is Rs.616
Let the cost price be Rs. x
He sold at a loss of 20%, i.e. 80% of the cost price = selling price