Arithmetic Reasoning problems
- 1. A Child has 1200 five rupee coins. He wants to place them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of coins that he needs more for this purpose?
Options- A. 125
- B. 96
- C. 35
- D. 25 Also asked in: GATE, CAT, Bank Exams, AIEEE, Network Engineer, Bank PO, Bank Clerk
Correct Answer: 25
- 2. If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?
Options- A. 0
- B. 1
- C. 2
- D. 3 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: 0
Explanation:
From the given information in the question
24 ÷ 4 + 6 - 3 x 4
6 + 6 - 12 = 0
- 3. In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?
Options- A. 110
- B. 90
- C. 100
- D. 180 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 90
Explanation:
Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'
Given total number of vehicles = 200
i.e, x + y = 200 ....(1)
Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)
By solving (1)&(2), we get
y = 90
=> x = 110
Therefore, number of two wheelers = 110
number of four wheelers = 90
- 4. If two line pa + b = 2 and 3a + b = 4 are parallel to each other, then what is the value of p ?
Options- A. 1
- B. 2
- C. 3
- D. 4 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 3
Explanation:
Given two lines are parallel
pa+b=2
b=-pa+2..........(1)
3a+b=4
b=-3a+4 ...........(2)
m1 = -p
m2= -3
The condition for the two lines to be parallel is m1=m2
p = 3
- 5. How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?
Options- A. 3
- B. 5
- C. 7
- D. 9 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Bank Clerk, Bank PO
Correct Answer: 5
Explanation:
There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.
- 6. In a class of students, if 1 is absent rest of people can be divided into 6 equal parts and if 2 are absent rest of them are divided into 7 equal parts, how many students are present in the class ?
Options- A. 28
- B. 19
- C. 57
- D. 37 Also asked in: Bank Exams, CAT, Bank Clerk
Correct Answer: 37
Explanation:
Let the number of students in the class be 'x'.
Given if 1 is absent rest of people can be divided into 6 equal parts i.e (x-1)/6.........(1)
And given if 2 are absent rest of people can be divided into 7 equal parts i.e (x-2)/7.....(2)
From (1)&(2), we get
x-1/6 = ((x-2)/7) + 1
=> x = 37.
- 7. The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have ?
Options- A. 6
- B. 4
- C. 5
- D. 7 Also asked in: CAT, Bank Exams, Bank Clerk
Correct Answer: 6
Explanation:
We know that
Sum of Interior angles of Polygon = 180(n-2)
Sum of Exterior angles of Polygon = 360
so 180(n-2)=2x360
Therefore, by solving we get n=6 sides.
- 8. Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ?
Options- A. 5
- B. 4
- C. 7
- D. 6 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 5
Explanation:
Let the number be x. Then,
- 4x = x + 50
- 5x - 50 = 0
(3x + 10)(x - 5) = 0
x = 5
- 9. 18 tens 20 ones =
Options- A. 1820
- B. 180
- C. 200
- D. 160 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 200
Explanation:
18 tens 20 ones, the given stateent can be split into
18 tens = 18 x 10 = 180
20 ones = 20 x 1 = 20
Then add both => 180 + 20 = 200
Hence, 18 tens 20 ones = 200.
- 10. Lami's theorem is applicable only for
Options- A. Non-Concurrent forces
- B. Coplanar forces
- C. Coplanar and concurrent forces
- D. Any type of forces Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: Coplanar and concurrent forces
Explanation:
The Lami's theorem states that " If three forces coplanar and concurrent forces acting on a particle keep it in equilibrium, then each force is proportional to the sine of the angle between the other two and the constant of proportionality is the same." This theorem is derived from the Sine rule of triangles.
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