CSIR Test Prep For Mathematical Science Paper-1

Test Preparation on CSIR Test Prep For Mathematical Science Paper-1

Average yield of a product in different years is shown in the histogram. If the vertical bars indicate variabilityduring the year, then during which year was the percent variability over the average of that year the least?

12000
22001
32002
42003

A rectangular sheet ABCD is folded in such a way that vertex A meets vertex C, thereby forming a line PQ.Assuming AB = 3 and BC = 4, find PQ. Note thatAP = PC and AQ = QC.

113 / 4
215 /4
317 /4
419 / 4

The density of a rice grain is 1.5 g/cc and the bulk density of the rice heap is 0.80 g/cc. If a 1-liter container is completely filled with rice, what will be the approximate volume of pore space in the container?

1350 cc
2465 cc
3550 cc
4665 cc

Using allegation Formula: Quantity of Cheaper/ Quantity of dearer = (high value-mean value)/(mean value-low value) volume of pour Space/Volume of rice = 1.5-0.80.8-0 = 78So volume of pour space = 1000/15?7 = 466.66 approximately 465.

A peacock perched on the top of a 12 m high tree spots a snake moving towards its hole at the base of the tree from a distance equal to thrice the height of the tree. The peacock flies towards the snake in a straight line and they both move at the same speed. At what distance from the base of the tree will the peacockcatch the snake?

116 m
218 m
314 m
412 m

The map given below shows a meandering river following a semi-circular path, along which two villages arelocated at A and B. The distance between A and B along the east-west direction in the map is 7 cm. What isthe length of the river between A and B in the ground?

11.1 km
23.5 km
35.5 km
411.0 km

Distance of river on ground = perimeter of semi circle = ? x r = 3.14 x 3.5 = 11 cm According to Scale = 11 x 50,000 cm = 5,50,000 cm or 5.5 km

How many nine-digit positive integers are there, the sum of squares of whose digits is 2?

A bird leaves its nest and flies away. Its distance x from the nest is plotted as a function of time t. Which ofthe following plots cannot be right?

Given that y = x y = 1 - x and x = 0AB = BC & y = x = m1 = 1 y = -x + 1 = m2 = -1 so m1 m2 = -1 , triangle is right - angled.

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