UPTET Exam Practice Mathematics Questions

(a) 1
(b)0
(c)6
(d)5
Q2. The difference between the place value and the face value of 6 in the numeral 856973
856973 में 6 के स्थानिक मान और अंकित मान के बीच का अंतर:
(a) 9764
(b) 6973
(c) 5994
(d) 6000
Q3. 414 × x × 7 = 127512
(a) 36
(b) 44
(c) 40
(d) 48

(a) –1
(b) 1
(c) 0.1
(d) 0

(a) 1.9/13
(b) 1.9/130
(c) 190/13
(d) 19/13
Q6. The average monthly income of P and Q is Rs. 6,000; that of Q and R is 4500; and that of P and R is 5500. What is P’s monthly income?
P और Q की औसत मासिक आय 6,000 रु है; Q और R की 4500 है; और P और R की 5500 है. P की मासिक आय क्या होगी?
(a) 16,000
(b) 9,000
(c) 5,500
(d) 7,000
Q7. Sonal is 40 years old and Nitiya is 60 years old. How many years ago was the ratio of their ages 3 : 5?
सोनल की आयु 40 वर्ष है और नित्या की 60 वर्ष है. कितने साल पहले उनकी आयु का अनुपात 3: 5 था?
(a) 5 years / 5 वर्ष
(b) 10 years/ 10 वर्ष
(c) 20 years / 20 वर्ष
(d) 37 years / 37 वर्ष

(a) 36
(b) 8
(c) 18
(d) 12
Q9. A man buys 10 articles for Rs. 8 and sells them at the rate of Rs. 1.25 per article. His Profit is
एक आदमी 8 रुपये में 10 वस्तुएं खरीदता है और उन्हें 1.25रु प्रति वस्तु की दर से बेचता है. उसका लाभ होगा:

Q10. Successive discounts of 10%, 12% and 15% amount to a single discount of
10%, 12% और 15% की क्रमिक छूट पर एकल छूट होगी
(a) 32.68%
(b) 35.28%
(c) 36.38%
(d) None of these
Solutions
S1. Ans.(a)

= 6 + 5
= 11
So, Unit digit = 1
S2. Ans.(c)
Sol. The face value of numeral 856973 = 6 …(1)
The place value of numeral 856973 = 6000 …(2)
Difference between the place value and face value.
= 6000 – 6
= 5994
S3. Ans.(b)
Sol. 414 × x × 7 = 127512

x = 44
S4. Ans.(d)

= 5.5 – [6.5 – {3.5 ÷ (6.5 – 3.0}]
= 5.5 – [6.5 – (3.5 ÷ 3.5}]
= 5.5 – (6.5 – 1)
= 5.5 – 5.5
= 0
S5. Ans.(c)

S6. Ans.(d)
Sol. The average monthly income of P and Q = Rs. 6000
Total monthly income of P and Q = Rs 12000 …(1)
The average monthly income of Q and R = Rs. 4,500
Total monthly income of Q and R = Rs. 9,000 …(2)
The average monthly income of P and R = Rs. 5,500
Total monthly income of P and R = Rs. 11,000 ….(3)

= 16,000
So, Income of ‘P’ = total Income –(Q+R)
= 16,000 – 9,000
= 7,000
S7. Ans.(b)
Sol. Sonal’s age = 40 years
Nitiya’s age = 60 years

5(40-x) = 3(60-x)
200-5x = 180-3x
200-180 = -3x+5x
20 = 2x
X = 10
S8. Ans.(c)

S9. Ans.(d)
Sol. Total cost price of 10 articles = Rs. 8
Total selling price of 10 articles = Rs. 1.25 × 10
= Rs. 12.5
Profit = 12.5 – 8 (Selling price – Cost price)
= 4.5

S10. Ans.(a)
Sol. Successive discounts of 10%, 12% and 15% amount to a single discount

Discount = 100 – 67.32%
= 32.68%