SSC CHSL Quiz : Quantitative Aptitude | 16 - 02 - 18

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Q1.) Solve :
हल कीजिये :

1. -2
2. -1
3. 1
4. 2

Q2.) The point of intersection of lines 2x+ 7y =1 and 4x +5y = 11 is:

रेखाएं 2x + 7y = 1 और 4x + 5y = 11 के प्रतिच्छेदन बिंदु है:

1. (4,1)
2. (-4,1)
3. (4,-1)
4. (-4,-1)

Q3.) Through 4 points, it is possible to draw:

4 अंक के माध्यम से, बनाना संभव है:

1. At most one circle/ अधिकतम एक वृत्त.
2. Exactly one circle./ एक ही वृत्त
3. Two circle./दो वृत्त
4. More than two circle./दो से ज्यदा वृत्त

Q4.) The radius of the circumcircle and in circle of a right angle triangle are 15cm and 6cm respectively. Find the sides of the triangle.

सम कोण त्रिभुज की परिवृत्त त्रिज्या और अंत: वृत्त त्रिज्या क्रमशः 15सेमी और 6सेमी हैं। त्रिभुज की भुजाएं ज्ञात कीजिये |

1. 30,40,41
2. 24,25,30
3. 18,24,30
4. 16,28,30

Q5.) The curved surface area of a cylinder is 264 m2 and its volume is 924 m3. The ratio of its diameter to height is :

एक बेलन का वक्र प्रष्टक्षेत्र 264 m2 है और इसका आयतन 924 m3 है। इसकी व्यास और ऊँचाई का अनुपात है:

1. 3 : 7
2. 6 : 7
3. 7 : 6
4. 7 : 3

Q6.) Solve :
हल कीजिये:

1. 2 sin
2. 2 cos
3. 2 cosec
4. 2 sec

Q7.) If the radius of a right circular cylinder is decreases by 50% and its height is increased by 60%. Its volume will be decreased by?

यदि लम्ब्वृत्य बेलन की त्रिज्या को 50% कम कर दिया जाता है और ऊंचाई को 60% बढ़ा दिया जाता है तो आयतन में कितने प्रतिशत की कमी होगी?

1. 10%  
2. 60%  
3. 40%  
4. 20%

Q8.) The sum of the internal angles of a regular polygon is 14400. Find the number of sides?

बहुभुज के आंतरिक कोणों का योग 14400 है तो इसकी भुजाये ज्ञात कीजिये?

1. 12
2. 15
3. 10
4. 8

Q9.) The average age of eleven players of a cricket team decreases by 2 months when two new players are included in the team replacing two players of ages 17 years and 20 years. The average age of new players?

11 खिलाडियों का औसत 2 महीने कम हो जाता है जब दो नए व्यक्ति दो खिलाडियों के स्थान पर आ जाते है जिनकी आयु 17 वर्ष और 20 थी. तो नए खिलाडियों का औसत क्या है?

1. 17 years 1 month                    
2. 17 year 7 month           
3. 17 years 11 month 
4. 18 years 3 month

Q10.) The average of first three numbers is thrice the fourth number. If the average of all the four numbers is 10, then find the fourth?

पहली 3 संख्याओ का औसत तीन गुना है चौथी संख्या का, यदि चारो संख्याओ का औसत 5 है तो चौथी संख्या ज्ञात कीजिये?

1. 4.5                  
2. 5
3. 2
4. 4

Solution :

Q1.) (A)



Q2.) (C)

2x + 7y = 1 – (i)
4x + 5y = 11 – (ii)
2×(i) – (ii)
4x + 14 y – 4x –5y = 2 – 11
9y = – 9
y = -1
x = 4
(4,-1)

Q3.) (A)

At most one circle

Q4.) (C)

Hypotenuse = 2 × 15 = 30
Now check with option which follow Pythagoras Theorem.
18, 24, 30

Q5.) (D)


r = 7
D=2r =14

h = 6
D : h = 14 : 6 = 7 : 3

Q6.) (D)



Q7. (B)

If the radius of a right circular cylinder is changed by x% and height y% then change in volume


Negative sign shows decreases

Q8. (C)

Sum of the internals angles of the regular polygon
 

Q9.) (B)
Decrease in average = 2-month Total decrease =
Total age of new players = (17 + 20) years - 22 months = 35 years 2 month
 Average age of new players = (35 years 2 month)2 = 17 year 7 month

Q10.) (D)

Let the number be a, b, c, d
So  , 

 So last number is 4.