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The algebraic expression for the statement “Product of x and reciprocal of a, subtracted from the product of y and reciprocal of b” is _____.

A
B
C xa - yb
D

X takes 3 hours more than Y to walk 30 km. But, if X doubles his pace,
he is ahead of Y by hour. Find their speed of walking.

A7 km/h, 4 km/h
B10/3 km/h, 5 km/h
C2 km/h, 3/2 km/h
D3 km/h, 7 km/h

In the given figure (not drawn to scale) ABCD is a trapezium in which AB || DC and AD = BC. If P, Q, R, S be respectively the mid-points of BA, BD, CD and CA. Then PQRS is a


ARhombus
BRectangle
CParallelogram
DSquare

Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and a multiple of 3 on the other dice.

A1/3
B7/36
C1/6
D11/36

To organize a lunch, a hotel charges ₹ 500 per hour for use of a dining room plus ₹ 50 per person. What is the total cost (in ₹) for 2 hours lunch for 50 people?

A2 × 500 + 50 + 45
B2 × 500 + 24 × 45
C2 × 500 + 50 × 50
D2 × 45 + 50 × 50

Number of angles less than 180° in the given figure is ________.


A10
B14
C16
DNone of these

The distance on a map between Town A and Town B is 24 cm. The actual distance between these two towns is 360 km. Find the ratio of the distance on a map to the actual distance between two towns.

A1 : 1500000
B1 : 150000
C1 : 150
D1 : 15

How many numbers are divisible by 6 from 1901 to 2000?

A15
B16
C17
D24

The breadth of a rectangle is u m and the length is 4 times as long as its breadth. What is the perimeter of the rectangle?

A14u m
B(2u + 8) m
C9u m
D10u m

The greatest number which divides 285 and 1249, leaving remainders 9 and 7 respectively is ______.

A240
B130
C115
D138