Math Quiz Test 07 Aug 2024

Out of 130 students appearing in an exam, 62 failed in Science, 52 failed in English, whereas 24 failed in both Science and English. The number of students who passed is
a. 50
b. 20
c. 40
d. 30

421 and 427, when divided by the same
number, leave the same remainder 1.
How many numbers can be used as the
divisor in order to get the same
remainder 1 ?
(a) 1 (b) 2
(c) 3 (d) 4

X, Y and Z can complete a piece of work
individually in 6 hours, 8 hours and
8 hours respectively. However, only one
person at a time can work in each hour
and nobody can work for two consecutive
hours. All are engaged to finish the
work. What is the minimum amount of
time that they will take to finish the
work ?
(a) 6 hours 15 minutes
(b) 6 hours 30 minutes
(c) 6 hours 45 minutes
(d) 7 hours

P’s salary is 20% lower than Q’s salary
which is 20% lower than R’s salary. By
how much percent is R’s salary more
than P’s salary ?
(a) 48.75% (b)56.25%
(c) 60.50% (d) 62.25%

A can X contains 399 litres of petrol and
a can Y contains 532 litres of diesel.
They are to be bottled in bottles of equal
size so that whole of petrol and diesel
would be separately bottled. the bottle
capacity in terms of litres is an integer.
How many different bottle sizes are
possible ?
(a) 3 (b)4
(c) 5 (d) 6

In the expression 5 * 4 * 3 * 2 * 1, * is
chosen from +, –, × each at most two
times. What is the smallest non negative value of the expression ?
(a) 3 (b) 2
(c) 1 (d)0

P’s salary is 20% lower than Q’s salary
which is 20% lower than R’s salary. By
how much percent is R’s salary more
than P’s salary ?
(a) 48.75% (b)56.25%
(c) 60.50% (d) 62.25%

A certain number of men can complete
a piece of work in 6k days, where k is a
natural number. By what percent
should the number of men be increased
so that the work can be completed in 5k
days ?
(a) 10% (b) (50/3)%
(c) 20% (d) 25%

Two persons P and Q enter into a
business. P puts Rs. 14,000 more than
Q, but P has invested for 8 months and
Q has invested for 10 months. If P’s
share is Rs. 400 more than Q’s share out
of the total profit of Rs. 2,000, what is
the capital contributed by P ?
(a)Rs. 30,000 (b) Rs. 26,000
(c) Rs. 24,000 (d) Rs. 20,000

What percent of water must be mixed
with honey so as to gain 20% by selling
the mixture at the cost price of honey ?
(a)20%
(b) 10%
(c) 5%
(d) 4%