Arithmetic - Online Test
Q1. 25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
a. Hari’s age + Gita’s age > Irfan’s age + Saira’s age.
b. The age difference between Gita and Saira is 1 year. However Gita is not the oldest and Saira is not the youngest.
c. There are no twins.
In what order were they born (oldest first)?
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. 5 skilled workers can build a wall in 20 days: 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi- skilled and 5 unskilled workers, how long will it take to build the wall?
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. Given digits 2,2,3,3,3,4,4,4,4 how many distinct 4 digit numbers greater than 3000 can be formed?
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. If 137 + 276 = 435 how much is 731 + 672 ?
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. 25 persons are in a room, 15 of them play hockey, 17 of them football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is ;
Answer : Option D
Explaination / Solution:
Number of people who play hockey n(A) = 15
Number of people who play football n(B) = 17
Persons who play both hockey and football n(A∩B) = 10
Persons who play either hockey or football or both :
n(AUB) = n(A) + n(B) - n(A∩B)
= 15 + 17 - 10 = 22
Thus people who play neither hockey nor football = 25 - 22 = 3
Q7. If 137 + 276 = 435 how much is 731 + 672 ?
Answer : Option C
Explaination / Solution:
Since 7 + 6 = 13 but unit digit is 5 so base may be 8 as 5 is the remainder when 13 is divided by 8. Let us check.
1378 7318
2768 6728
435 1632
Thus here base is 8. Now
Q8. 5 skilled workers can build a wall in 20 days; 8 semi-killed worker can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 killed, 6 semi-killed and 5 unskilled workers, how long will it take to build the wall
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. Given digits 2, 2, 3, 3, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. Hari(H), Gita(G), Irfan(I) and Saira(S) are sibilings (i.e. brothers and sisters). All were born on Ist January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:
(i) Hari’s age + Gita’s age > Irfan’s age + Saira’s age
(ii) The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest
(iii) There are not twins.
In what order were they born (oldest first)
Answer : Option B
Explaination / Solution:
Let H , G, S and I be ages of Hari, Gita, Saira and Irfan respectively.
Now from statement (1) we have H + G > I + S
Form statement (2) we get that G - S = 1 or S - G = 1
As G can’t be oldest and S can’t be youngest thus either GS or SG possible.
From statement (3) we get that there are no twins
(A) HSIG : There is I between S and G which is not possible
(B) SGHI : SG order is also here and S > G > H > I andG + H > S + I which is possible.
(C) IGSH : This gives I > G and S > H and adding these both inequalities we have I + S > H + G which is not possible.
(D) IHSG : This gives I > H and S > G and adding these both inequalities we have I + S > H + G which is not possible.
