Practice
Aptitude Questions with Solution for SSC CGL Mains Set-2:
The list
of practice Aptitude Questions with Solutions for SSC CGL Mains Exam was given
here, candidates those who are preparing for the examination can use this
practice questions.
1).A hemisphere and a cone have equal bases.
If their heights are also equal, the ratio of their curved surfaces will be
a)1:√2
b)√2:1
c)1:2
d)2:1
Answer: b)
Explanation:
Let the radius of the base of hemisphere be r units. Radius of the base of cone =r units and h= r units
∴ Stand height
∴√ (r2 +r2) = √2r2 = √2r
∴Curved surface of hemisphere: curved surface of cone =2 Ï€r 2 : Ï€r ×√2r
= 2 : √2 = √2 : 1
2).If x=√[1 - (√5+1)/(√5-1)] then the
value of 5x2 - 5x - 1 is
3).When 233 is divided by 10, the
remainder will be
a)2
b)3
c)4
d)8
Answer: a)
Explanation:
21=2; 22 = 4; 23 = 8; 24 = 16; 25 = 32 (i.e)
The units digits repeats itself after power 4.
Remainder after we divide 33 by 4=1
∴Unit’s digits in the product of 2=2
∴Remainder on division by 10=2
4).The value of
a)40/11
b)43/11
c)46/11
d)41/11
Answer: b)
Explanation:
5).Find the unit digit in the product (4387)245
× (621)72
a)1
b)2
c)5
d)7
Answer: d)
Explanation:
71=7; 72=49; 73=343; 74=1401; 75=16807;
i.e. The unit’s digit repeats itself after power 4.
Remainder after we divide 145 by 4=1
∴Unit’s digit in the product of (4387)245 × (621)72 = 7×1=7
6).If √2=1.4142, find the value of 2√2 + √2+ 1/(2+√2)
+ 1/(√2-2)