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This mock test of Test: Quantitative Techniques- 4 for CLAT helps you for every CLAT entrance exam.
This contains 20 Multiple Choice Questions for CLAT Test: Quantitative Techniques- 4 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

2 / 3 is a rational number whereas √2 / √3 is

Solution:

QUESTION: 2

**Find the greatest number which divides 285 and 1249, leaving remainder 9 and 7?**

Solution:

Clearly required no is 138

QUESTION: 3

**Shopkeeper offers 10% discount on an article and still makes a profit of 20%. What is the CP of the article marked at 500?**

Solution:

Marked price = 500

Discount = 10% of 500 = 450

S.P = 450

= 375

QUESTION: 4

A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is?

Solution:

Let cost price = 100

Loss during theft = 20

Saleable goods = 80

Profit taken = 10% of 80

= 8

S.P. = 88

QUESTION: 5

**If a diagonal of a rhombus are 8 and 6 then the square of its side is?**

Solution:

= 5

(side)^{2} = 25

QUESTION: 6

**An angle in a semi-circle is?**

Solution:

The angle at the centre ∠AOB is twice the angle at the circumference ∠APB

As ∠AOB is 180°, it follows that ∠APB is 90°.

AOB is the diameter of the circle, so it follows that the angle in a semicircle is always a right angle:

QUESTION: 7

**Atyre has 2 punctures, the first can alone empty the tire in 9 min and 2 ^{nd} can empty the tyre in 6 mins. How long will it take to empty the tyre by both punctures?**

Solution:

QUESTION: 8

**In a group of 500 students, 103 students like coco cream and vanilla cream, 300 students like only vanilla cream how students like only coco cream?**

Solution:

So coco only = 500 – 300 – 103 = 97

QUESTION: 9

**(764 x?) ÷250= 382**

Solution:

(764 x ?) ÷ 250 = 382

= 125

QUESTION: 10

285 is summation of 3 numbers. Ratio between 2^{nd} and 3^{rd} numbers is 6:5. Ratio between 1^{st} and 2^{nd} numbers is 3:7. The 3^{rd} number is?

Solution:
It is given that 1:2 = 3:7 and 2:3= 6:5

So 1:2:3=18:42:35

Third no.=35÷95×285

105

So 1:2:3=18:42:35

Third no.=35÷95×285

105

QUESTION: 11

**A box contains 36 marbles some are blue and others are green. If a marble is drawn at random from a box the probability that it is green is 2/3. Then no. of blue ballsare?**

Solution:

No. of blue balls

= 12

QUESTION: 12

**Raman loses 30% of his money after spending 25% of the remaining he still has Rs 525. How much money did he originallyhad?**

Solution:

QUESTION: 13

**If a point (x, y) ina oxy plane is equidistant from (-1, 1) and (4, 3) then?**

Solution:

x^{2} + y^{2} – 2y + 2x + 2 = y^{2} + x^{2} + 9 + 16 – 6y – 8x

10x + 4y = 23

QUESTION: 14

**15x ? - 8 x 2 – 9 = 0**

Solution:

15 x ? – 8 x 2 – 9 = 0

QUESTION: 15

**If the diameter of a cylinder is 28 cm and its height is 20 cm, then total surface area is?**

Solution:

Total surface area = 2πr (r + h)

= 2992

QUESTION: 16

**If the curved surface area of a cylinder is 1760 cm ^{2} and its base radius is 14 cm when it’s height is?**

Solution:

Curved surface area = 1760

QUESTION: 17

**Tap A and B can separately fill the tank in 10 hours 15 hours respectively. If both taps are opened together, how much time will it take to fill the tank fully?**

Solution:

So Time taked = = 6 hrs

QUESTION: 18

**On selling 100 mangoes, a person gains selling price of 20 mangoes. Find his gain percent?**

Solution:

QUESTION: 19

**The diameter of a wheel is 98cm. Howmuch revolutions will it take to cover a distance of 1540m?**

Solution:

Distance covered in one revolution

= 308 cm

Total revolution

QUESTION: 20

**Angles ofan quadrilateral are in the ratio 3:4:5:8. The smallest angle is?**

Solution:

3x + 4x + 5x + 8x = 360

20x = 360

x = 18

So smallest angles = 18 x 3 = 54°

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