Quantitative Ability Test

Result

Quantitative Ability Test - 1

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Weekly Quiz Competition

Question 1
4 / -1

If 2ⁿC₃ : ⁿC₃ = 17 : 2, find n.

A
50

B
26

C
24

D
52

Solution
Question 2
4 / -1

The 9^th term from the end in (x − 1 / x)¹² is:

A
¹²C₄x⁴

B
¹²C₄x⁹

C
¹²C₉x⁹

D
¹²C₃x³

Solution
Question 3
4 / -1

The number obtained on rationalizing the denominator of is

A

B

C

D

Solution
Question 4
4 / -1

A
3

B
4

C
5

D
6

Solution

As we know,

When two matrices are equal, all the corresponding elements must be equal.

Given,

Comparing two elements of first column,

2x + y = 7

⇒ y = 7 − 2x ...(1)

5x − 7 = y ...(2)

Comparing value of y from equation (1) and (2) we get,

7 − 2x = 5x - 7

⇒ 7 + 7 = 5x + 2x

⇒ 14 = 7x

∴ x = 2

Putting value of x in equation (1), we get

y = 7 − 2 × 2

⇒ y = 7 − 4

⇒ y = 3

Now,

x + y = 2 + 3 = 5

So, the value of x + y is 5.

Hence, the correct option is (C).
Question 5
4 / -1

A shopkeeper sells 200 shirts and makes a profit equal to the selling price of 25 shirts. Find his profit percentage.

A
13.35%

B
12.50%

C
14.28%

D
15.08%

Solution

Given

A shopkeeper sells 200 shirts

Profit = S.P of 25 shirts

Formula:

C.P = S.P – Profit

Profit % = Profit / C.P × 100

Calculation:

Let S.P of 200 shirts be Rs. 200

S.P of 25 shirts = Rs. 25

Profit = S.P of 25 shirts = Rs. 25

C.P = Rs. 200 – Rs. 25 = Rs. 175

Profit % = 25 / 175 × 100

= 100 / 7%

= 14.28%

∴ The profit percentage is 14.28%

Hence, the correct option is (C).
Question 6
4 / -1

If m : n = 3 : 2, then (4m + 5n) : (4m − 5n) is equal to = ?

A
4 : 9

B
9 : 4

C
11 : 1

D
9 : 1

Solution
Question 7
4 / -1

Directions For Questions

Study the given bar graph carefully and answer the questions given below.

The following bar graph shows the number of Male and Female customers who visited a restaurant for 6 days of a week.

...view full instructions

What is the difference between the average number of Males and Females visiting the restaurant?

A
5.85

B
2.75

C
3.24

D
4.16

Solution

Total number of males visiting the restaurant

= 120 + 75 + 80 + 135 + 125 + 75 = 610

Average number of males

= 610 / 6 = 101.67

Total number of Females visiting the restaurant

= 90 + 125 + 110 + 95 + 105 + 110 = 635

Average number of females

= 635 / 6 = 105.833

∴ Required difference = 105.83 − 101.67 = 4.16

Hence, the correct option is (D).
Question 8
4 / -1

Directions For Questions

Study the given bar graph carefully and answer the questions given below.

The following bar graph shows the number of Male and Female customers who visited a restaurant for 6 days of a week.

...view full instructions

What is the ratio between the number of Males visiting the restaurant on Tuesday, Thursday and Friday together and the number of females visiting the restaurant on the same days?

A
68 ∶ 63

B
63 ∶ 68

C
67 ∶ 65

D
61 ∶ 59

Solution

Number of Males visiting the restaurant on Tuesday, Thursday and Friday

= 75 +135 + 125 = 335

Number of Females visiting the restaurant on Tuesday,

Thursday and Friday = 125 + 95 + 105 = 325

∴ Required ratio = 335 / 325 = 67 / 65 = 67 : 65

∴ The ratio between the number of Males visiting the restaurant on Tuesday, Thursday and Friday together and the number of females visiting the restaurant on the same days is 67 : 65.

Hence, the correct option is (C).
Question 9
4 / -1

Directions For Questions

Study the given bar graph carefully and answer the questions given below.

The following bar graph shows the number of Male and Female customers who visited a restaurant for 6 days of a week.

...view full instructions

Out of the total number of customers visiting the restaurant on Monday, Wednesday and Friday 40% have pre-booking of tables in the restaurant and the total number of customers visiting the restaurant on the remaining days 60% have pre-booked their tables. What is the sum of the customers who have pre-booking in the restaurant?

A
621

B
630

C
598

D
568

Solution

Total customers on Monday, Wednesday and Friday

= 210 + 190 + 230 = 630

Customers who have pre-booking on Monday, Wednesday and Friday

= 40 / 100 × 630 = 252

Total customers on Tuesday, Thursday and Saturday = 200 + 230 + 185 = 615

Customers who have pre-booking on Monday, Wednesday and Friday

= 60 / 100 × 615 = 369

Required sum = 252 + 369 = 621

∴ The sum of the customers who have pre-booking in the restaurant is 621.

Hence, the correct option is (A).
Question 10
4 / -1

Directions For Questions

Study the given bar graph carefully and answer the questions given below.

The following bar graph shows the number of Male and Female customers who visited a restaurant for 6 days of a week.

...view full instructions

The number of customers visiting the restaurant on Sunday is 30% more than the number of customers visiting the restaurant on Wednesday and the ratio of male and female is 8 ∶ 5, then the number of males visiting the restaurant on Sunday is what percent of Males visiting the restaurant on Monday?

A
135.33%

B
126.67%

C
115.83%

D
96.67%

Solution

Number of customers visiting the restaurant on Sunday

= 130 / 100 × (80 + 110)

= 13 × 19

= 247

Ratio of Male to females = 8 : 5

∴ Number of males on Sunday

= 8 / 13 × 247 = 152

Number of males on Monday = 120

∴ Required percentage

=152 / 120 × 100 = 126.67%

Hence, the correct option is (B).