basic numeracy Model Questions & Answers, Practice Test for ssc cgl tier 1

Question :26

On Republic Day sweets to be equally distributed among 450 children. But on that particular day, 150 children remained absent. Thus, each child got 3 sweets extra. How many sweets did each child get ?

Answer: (b)

Suppose the number of sweets is = x

∴ $x/{450 - 150} - x/450$ = 3

$x/300 - x/450 = 3$ or ${3x - 2x}/900 = 3$

x = 2700

Number of sweets to each children = $2700/300 = 9$

Question :27

$1.236 × 10^15 – 5.23 × 10^14$ is equal to :

Answer: (b)

$1.236× 10^15 – 5.23 × 10^14$

= $10^14(12.36 – 5.23) = 7.13 × 10^14$

Question :28

Consider the following statements :

  1. Of two consecutive integers, one is. even.
  2. Square of an odd integer is of the form 8n + 1.
Which of the above statements is/are correct ?

Answer: (b)

1. Of two consecutive integer is always odd and other is even.

So this is true statement.

2. Each odd no is in the form of (2n – 1) $(2n + 1)^2 = 4x^2 + 1 + 4n$

Question :29

What would be the maximum value of Q in the equation 5P9 + 3R7 + 2Q8 = 1114 ?

Answer: (c)

12 
5P9
3R7
+2Q8
1114

2 + P + R + Q = 11

P + R + Q = 9

For maximum value of Q

P and R be 0 then

Q = 9

Question :30

A person carries Rs.500 and wants to buy apples and oranges out of it. If the cost of one apple is Rs.5 and the cost of one orange is Rs.7, then what is the number of ways in which a person can buy both apples and oranges using total amount?

Answer: (a)

Let x and y be the number of apples and oranges bought by the person.

5x + 7y = 500

⇒ y = ${500 - 5x}/7 = {5(100 - x)}/7$

for x and y to be integers

For x = (2, 9, 16, 23, 30, 37, 46, 51, 58, 65, 72, 79, 86, 93) y gives integer value

Hence, required number = 14

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