1. If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
A. 104 m
B. 125 m
C. 140 m
D. 152 m
Answer: Option (B)
Explanation:
D = 90 * 5/18 * 5 = 125 m
2. A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A. 32 kmph
B. 36 kmph
C. 40 kmph
D. 48 kmph
Answer: Option (A)
Explanation:
S = (100 + 300)/45 = 400/45 * 18/5 = 32
3. A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
A. 18 days
B. 12 days
C. 24 days
D. 10 days
Answer: Option (A)
Explanation:
8/12 + 6/x = 1
X = 18 days
4. A is twice as good a workman as B and together they finish the work in 14 days. In how many days A alone can finish the work?
Answer: Option (B)
Explanation:
WC = 2:1
2x + x = 1/14 => x = 1/42
2x = 1/21
A can do the work in 21 days.
5. The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
A. 200 sq cm
B. 72 sq cm
C. 162 sq cm
D. Cannot be determined
E. None of these
Answer: Option (D)
Explanation:
Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l. b. Therefore a cannot be found.
Area of the square cannot be found.
6. number is 1: 2?
A. 4
B. 8
C. 16
D. None of these
Answer: Option (B)
Explanation:
Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.
Let ten's and unit's digits be 2x and x respectively.
Then, (10 x 2x + x) - (10x + 2x) = 36
9x = 36
x = 4.
Required difference = (2x + x) - (2x - x) = 2x = 8.
7. A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Answer: Option (D)
Explanation:
Let the ten's digit be x and unit's digit be y.
Then, number = 10x + y.
The number obtained by interchanging the digits = 10y + x.
(10x + y) + (10y + x) = 11(x + y), which is divisible by 11.
8. The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
A. 200 sq cm
B. 72 sq cm
C. 162 sq cm
D. Cannot be determined
E. None of these
Answer: Option (D)
Explanation:
Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l. b. Therefore a cannot be found.
Area of the square cannot be found.
9. Find the simplest numerical value of 3 (sin x – cos x)4+ 4 (sin6x + cos6x) +6 (sin x + cos x)2
Answer: Option (D)
10. PQRS is a rhombus in which ÐSPQ = 64°. Equilateral triangles PXQ and QYR are drawn outside the rhombus on sides PQ and QR. Calculate the magnitude of the angle ÐQXY.
A. 26°
B. 28°
C. 30°
D. 45°
Answer: Option (B)