This set of Aptitude Questions and Answers (MCQs) focuses on “Arithmetic Operations – Set 2”.
1. What is the number 0.0874468 correct to four decimal places?
a) 0.0874
b) 0.0875
c) 0.0865
d) 0.0884
View Answer
Explanation: The fifth number to the right of decimal is less than 5.
Therefore, the number 0.0874468 correct to four decimal places is 0.0874.
2. Find the value of \(\Big(0.00275 of \frac{32}{3}\Big)\) expressed as vulgar fraction.
a) 13/375
b) 11/375
c) 11/385
d) 14/395
View Answer
Explanation: 0.00275 of \(\frac{32}{3}=\frac{275}{100000}*\frac{32}{3}=\frac{11}{375}\).
3. A maximum of how many pieces of 14.8 cm can be cut from a 784.4 cm long rod?
a) 59
b) 51
c) 53
d) 57
View Answer
Explanation: \(\frac{784.4}{14}\).8=53.
Hence, 53 pieces of 14.8 cm can be cut from a 784.4 cm long rod.
4. Rohan donates blood 5 times in 3 years and each time 350 ml of blood. How many liters of blood will he donate in 9 years?
a) 6.15
b) 4.75
c) 5.45
d) 5.25
View Answer
Explanation: In 3 years, Rohan donates 350*5 = 1750 ml of blood.
Hence, in 9 years, he donates 1750*3 = 5250 ml = 5.25 liters.
5. Merry consumes 1300 ml of milk every day. How many liters of milk will she consume in 5 weeks?
a) 45.5
b) 42
c) 47.5
d) 49
View Answer
Explanation: In one week, Merry consumes 1300*7 = 9100 ml of milk.
In 5 weeks, she consumes 9100*5 = 45500 ml = 45.5 liters.
6. A tailor has 45.75 meters of cloth and he has to make 4 pieces out of a meter of cloth. How many pieces can be made out of this cloth?
a) 176
b) 183
c) 157
d) 169
View Answer
Explanation: 45.75*4 = 183.
Hence, the tailor can make 183 pieces out of this cloth.
7. A sum of Rs. 8.75 is made up of 105 coins, which are either 10 paise or 5 paise. How many 5 paise coins are there?
a) 70
b) 65
c) 35
d) 40
View Answer
Explanation: Let x and y be number of coins of 5 paise and 10 paise respectively.
From data, x + y = 105 …… (i)
0.05x + 0.1y = 8.75 …… (ii)
On solving (i) and (ii), we get,
x = 35 and y = 70.
Hence, there are 35, 5-paise coins.
8. Find the rational number for the recurring decimal 1.345345…….
a) 218/333
b) 218/999
c) 345/999
d) 448/333
View Answer
Explanation: 1.345345…… = 1 + 0.345345…… = 1 + 0.345 = 1 + \(\frac{345}{999}=\frac{448}{333}\).
9. If 2.4a = 0.08b, then find the value of \(\frac{b-a}{b+a}\).
a) 29/31
b) 2.9/31
c) 290/31
d) 0.29/3.1
View Answer
Explanation: 2.4a = 0.08b.
\(\frac{b}{a}=\frac{2.4}{0.08}\)=30.
\(\frac{b-a}{b+a}=\frac{\frac{b}{a}-1}{\frac{b}{a}+1}=\frac{30-1}{30+1}=\frac{29}{31}\).
10. Find the sum of first 15 terms of the series \(\frac{1}{3*4}+\frac{1}{4*5}+\frac{1}{5*6}+\frac{1}{6*7}\)+⋯.
a) 7/18
b) 5/18
c) 2/3
d) 1/6
View Answer
Explanation: =\(\frac{1}{3*4}+\frac{1}{4*5}+\frac{1}{5*6}+\frac{1}{6*7}\)+⋯
=\(\Big(\frac{1}{3}-\frac{1}{4}\Big)+\Big(\frac{1}{4}-\frac{1}{5}\Big)+\Big(\frac{1}{5}-\frac{1}{6}\Big)+\Big(\frac{1}{6}-\frac{1}{7}\Big)+⋯+\Big(\frac{1}{16}-\frac{1}{17}\Big)+\Big(\frac{1}{17}-\frac{1}{18}\Big)\)
=\(\frac{1}{3}-\frac{1}{18}=\frac{5}{18}\).
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