# Quest For Quantity :: Quiz in Quantity for Railway And SSC Exams

1. A and B together can complete
a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how
many days, will all of them together complete the work?

(A) 16 cm

(B) 15 cm

(C) 12 cm

(D) 10 cm

2. A and B can do a piece of work
in 72 days, B and C can do it in 120 days, and A and C can do it in 90 days.
When A, B and C work together, how much work is finished by them in 3 days.

(A) 1/40

(B) 1/30

(C) 1/20

(D) 1/10

3. A can complete 2/3 of a work in 4 days and
B can complete 3/5 of the work in 6 days. In how many days can both A and B
together complete the work?

(A) 3

(B) 2

(C) 3 ¾

(D) 2 7/8

4. A, B and C can do a piece of work in 15, 20
and 24 days respectively. If they get R. 76 as the total wages, find the share
of C.

(A) Rs.30

(B) Rs. 40

(C) Rs. 20

(D) Rs. 24

5. A alone can complete a work in 18 days and
B alone in 15 days. B alone worked at it for 10 days and then left the work. In
how many more days, will A alone complete the remaining work?

(A) 5

(B) 5 ½

(C) 6

(D) 8

6.The sum of five consecutive even numbers is
equal to 170. What is the sum of the second largest number and the square of
the smallest number amongst them together?

(A) 940

(B) 932

(C) 938

(D) 936

7.How many sacks are required for filling 1026 kg of rice if each sack
is filled with 114 kg of rice?

(A) 19

(B) 15

(C) 7

(D) 9

8.Ravi consistently runs 350
metres every day except on Tuesdays when he runs 500 metres. How many
kilometres will he run in two weeks? (In this question the week starts from
Monday.)

(A) 4.5 km

(B) 4.8 km

(C) 5.2 km

(D) 5.4 km

9.The simple interest accrued in 3 years on a
principal of `25,000 is three–twentieths the principal. What is the rate of
simple interest pcpa?

(A) 5

(B) 4

(C) 6

(D) 3

10. Sumit purchased an item for
Rs.6,500 and sold it at a gain of 24%. From that amount he purchased another
item and sold it at a loss of 20%. What is his overall gain/loss?

(A) Loss of Rs.42

(B) Gain of Rs.42

(C) Loss of Rs.52

(D) Neither gain nor loss

**Answers and Solution:**

1. (A)

Workdone by A and B in 1 day =
1/18

Workdone by B and C in 1 day =
1/24

Workdone by C and A in 1 day =
1/36

so Workdone by 2(A, B and C) in 1
day = 1/18 + 1/24 + 1/36 = 9/72

so Workdone by A, B and C in 1
day = 9/(72*2) = 9/144 = 1/16

so all of them together complete
the work in 16 days.

2. (C)

Workdone by (A + B) in 1 day =
1/72

Workdone by (B + C) in 1 day =
1/120

Workdone by (C + A) in 1 day =
1/90

so Workdone by 2(A + B + C) in 1
day = 1/72 + 1/120 + 1/90 = 1/30

so Workdone by (A + B + C) in 1
day = 1/(30*2) = 1/60

so Workdone by (A + B + C) in 3
day = = 1/60 *3 = 1/20

3. (C)

A can complete 2/3 of a work in 4
days

A can complete the whole of a
work in (4*3)/2 = 6 days

similarly B can complete the
whole of a work in (6*5)/3 = 10 days

so Workdone by A and B in 1 day =
1/6 + 1/10 = 4/15

so Days taken by A and B to
complete the whole work = 15/4 = 3(3/4)

4. (C)

Ratio of share of A,B c = ratio
of 1 day's work

= 1/15 : 1/20 : 1/24

= 120*1/15:120*1/20 :
120*1/24 = 8:6:5

so sum of ratio turms = 8+6+5 =
19

so The share of C = 76*5/19 =
Rs.20

5. (C)

6.(D); Let the numbers be x, x +
2, x + 4, x+6 and x + 8

According to the question,

x + x + 2 + x + 4 + x + 6 + x +
8=170

or 5x + 20 = 170

or x + 4 = 34

or x = 30.

Second largest No. = 30 + 6 = 36

Square of smallest No. = 900

Sum of these Nos. = 900 + 36 =
936

7.(D);

8.(C);

9.(A);I = 25000 ×3/20 = 3750,
r = (3750*100)/75000 = 5%

10.(C); Second selling price = 6500 * 124/100 *80/100 = 6448

Loss => 6500 – 6448 = Rs. 52

Quest For Quantity :: Quiz in Quantity for Railway And SSC Exams
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