Quant Quiz for SSC CGL and Railways

Dear Readers,We are providing you a Quants Quiz for SSC CGL 2016 and Railways, SSC CPO ,SSC CHSL.

1.The
distance between two stations A and B is 220 km. A train leaves A
towards B at an average speed of 80 km/hr. After half a hour, another
train leaves B towards A at an average speed of 100 km/hr. The distance
of the point where the two trains meet, from A is :
(a) 120 km
(b) 130 km
(c) 140 km
(d) 150 km

1.
(a)

Let
required distance be x km. Then,
x/80−(220−x)/100=1/2

⇒5x−4(220−x)=200

⇒9x=1080

⇒x=120km

2.A
cart has to cover a distance of 80 km in 10 hours. If it covers half of
the journey in (3/5)th time, what should be its speed to cover the
remaining distance in the time left ?
(a) 8 km/hr
(b) 20 km/hr
(c) 6.4 km/hr
(d) 10 km/hr.

2.
(d)

Distance left = (12×80) km=40 km
Time left = [(1-35)×10]=25×10=4hrs
Speed required = (40÷4) km/hr= 10 km/hr.

3.The
average age of 12 players of a team is 25 yr. If the captain’s age is
included, the average age increases by 1 yr. The age of the captain is?
(a) 25 yr
(b) 38 yr
(c) 36 yr
(d) 26 yr

3.
(b)

Total
age of 12 players = 12 × 25 = 300 yr

Total age including captain = 13 × 26 = 338 yr

Age
of the captain = 338 – 300 = 38 yr

4.If
a sum of money is to be divided among A, B and Csuch that A’s share is
equal to twice B’s share and B’sshare is 4 times C’s share, then their
shares are in theratio?
(a) 1:2:4
(b) 1:4:1
(c) 8:4:1
(d) 2:4:1

4.
(c)

According to question,
A : B = 2: 1, B : C = 4 : 1

A : B: C = 8 : 4 : 1

5.A
book seller bought 200 text books for Rs. 12000. He wanted to sell them
at a profit so that he got 20 books free. At what profit per cent
should he sell them?
(a) 10%
(b) 11%
(c) 11.5%
(d) 12%

5.
(a)

Cost price of a book Rs12000/200 = Rs 60

Total profit = Rs. 60 × 20 =Rs. 1200

Profit per cent = (1200*100)/12000 = 10%

6.A
sum of Rs 731 is distributed among A, B and C, such that A receives 25%
more than B and B receives 25% less than C. What is C’s share in the
amount?
(a) Rs 172
(b) Rs 200
(c) Rs 262
(d) Rs 272

6.
(d)

Let
C’s share be Rs x.

           Then, B gets =0.75 x.


A gets = 1.25×0.75x


x+0.75x+0.9375x=731


2.6875x=731


x=⁷³¹⁄_2.6875 =272

7.Three
sets of English, Mathematics and Science bookscontaining 336, 240, 96
books respectively have to bestacked in such a way that all the books
are stored subjectwise and the height of each stack is the same.
Totalnumber of stacks will be?
(a) 14
(b) 21
(c) 22
(d) 48

7.
(b)

8.In
an examination, 60% of the candidates passed in English and 70% of the
candidates passed in Mathematics, but 20% failed in both of these
subjects. If 2500 candidates passed in both the subjects, the number of
candidates that appeared at the examination was?
(a) 3000
(b) 3500
(c) 4000
(d) 5000

8.
(d)

Let the total number of candidates = x

Number
of candidates passed in English = 0.6x

Number of candidates passed in Maths = 0.7x

Number of candidates failed in both subjects = 0.2x

Number
of candidates passed in at least one subject= x – 0.2x = 0.8x

0.6x +
0.7x – 2500 = 0.8x

>1.3x –
0.8x = 2500

>0.5x =
2500

X
= 5000

9.After
measuring 120 m of a rope, it was discovered that the measuring metre
rod was 3 cm longer. The true length of the rope measured is?
(a) 121 m 20 cm
(b) 123 m 60 cm
(c) 123 m
(d) 116 m 40 cm

9.
(b)

The meter rod is 3cm longer.

True
length of rope = 120 m + 120 × 3 cm

= 120 m + 360 cm= 123 m 60 cm

10.The
ratio of the number of boys and girls in a school is 3:2. If 20% of the
boys and 30% of the girls are scholarship holders, then the percentage
of students, who do not get scholarship is?
(a) 50
(b) 72
(c) 75
(d) 76

10. (d)