2
Q:

Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita?

Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A) Quantity1 < Quantity2 B) Quantity1 ≤ Quantity2
C) Quantity1 ≥ Quantity2 D) Quantity1 > Quantity2

Answer:   D) Quantity1 > Quantity2



Explanation:

Quantity1-
Rakhi’s marks= 115
Meenakshi’s marks= 115 - 20 = 95
Puneeta’s marks= 95 + 65= 160
Ankita’s marks=160 - 35= 125
Simpy’s marks= 125+ 67= 192
Total maximum marks= 192 + 108= 300
Required percentage marks of Simpy
192300×100=64%
Quantity2-
Let length and breadth be 100.

After increase in length it become 160, then
reduction in breadth be ‘x’
Now, 160*x= 100*100
Hence, x = 10000160=62.5

100-62.5=37.5%

Q:

In what ratio tea at Rs 240/kg should be mixed with tea at Rs 280/kg so that on selling the mixture at Rs 324/kg there is a profit of 20%?

A) 1 : 1 B) 1 : 2
C) 1 : 3 D) 1 : 4
 
Answer & Explanation Answer: C) 1 : 3

Explanation:
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3 1194
Q:

What is the simplified value of (cosec A + sin A)(cosec A – sin A)?

A) cos2A + cot2A B) 2 cos2A
C) 2 cot2A D) 2 cos A cot A
 
Answer & Explanation Answer: A) cos2A + cot2A

Explanation:
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0 722
Q:

What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

A) tan θ B) cot 2θ
C)  tan 2θ D) cot θ
 
Answer & Explanation Answer: C)  tan 2θ

Explanation:
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0 798
Q:

If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

A) 1 : 1 B) 2 : 1
C) 3 : 1 D) √2 : 1
 
Answer & Explanation Answer: A) 1 : 1

Explanation:
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0 796
Q:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the ratio of the length of a rectangle to the side of a square?

I. The area of the square is 576 sq cm and the area of the rectangle is 600 sq cm.

II. The breadth of the rectangle is half the side of the square.

A) The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. B) The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C) The data in either Statement I alone are in Statement II alone are sufficient to answer the question. D) The data in both the Statements I and II are not sufficient to answer the question.
 
Answer & Explanation Answer:

Explanation:

From statement I, Area of square = 576 sq cm
Side of square = 24 cm
Area of rectangle = l × b
l × b = 600 sq cm
From statement II, Suppose the breadth of the
rectangle is x. Then side of the square = 2x
Combining both the information, we have
x =12 cm
Now, l × 12 = 600

l=60012=50 cm

Required ratio = 5024=2512=25:12

Both the statements together are sufficient.

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1 1235
Q:

The bar chart given shows the sales of 3 types of cars in the Indian automotive industry over 4 years. All the sales figures have been shown in terms of 000 units.

If all the 3 categories increase by same rate in 2013 over 2012 as they did in 2012 over 2011, then what will be the total approximate sales (in ‘000 units) of all the 3 categories taken together in year 2013?

A) 2152 B) 2345
C) 3069 D) 3568
 
Answer & Explanation Answer: C) 3069

Explanation:
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0 942
Q:

The bar chart given shows the sales of 3 types of cars in the Indian automotive industry over 4 years. All the sales figures have been shown in terms of 000 units.

Which of the following type of car has the highest increase in sales from 2009 to 2012?

A) Hatchback B) Both SUV and Hatchback
C) SUV D) Sedan
 
Answer & Explanation Answer: C) SUV

Explanation:
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0 788
Q:

The bar chart given shows the sales of 3 types of cars in the Indian automotive industry over 4 years. All the sales figures have been shown in terms of 000 units.

What is the respective ratio of total sales of Sedan and total sales of SUV over the period of 4 years?

A) 23 : 31 B) 29 : 39
C) 43 : 31 D) 76 : 47
 
Answer & Explanation Answer: C) 43 : 31

Explanation:
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0 957